The activity with a central angle of 54° is Kayaking and there were about 557 principals in attendance based on the prediction
The activity with a central angle of 54°The formula to calculate the central angle for an activity is:
central angle = (number of campers for the activity / total number of campers) x 360°
Using this formula, we can calculate the central angle for each activity:
Kayaking: (15/100) x 360° = 54°
Wakeboarding: (11/100) x 360° = 39.6°
Windsurfing: (7/100) x 360° = 25.2°
Waterskiing: (13/100) x 360° = 46.8°
Paddleboarding: (54/100) x 360° = 194.4°
Therefore, the activity with a central angle of 54° is Kayaking.
Predicting the number of principals in attendance at the conference?To make a prediction about the number of principals in attendance at the conference, we can assume that the proportion of principals in the exhibit room is similar to the proportion of principals in the whole conference.
In the exhibit room, out of 70 people, 52 were principals.
So, the proportion of principals in the exhibit room was 52/70
We can predict the number of principals in attendance at the conference as follows:
Number of principals = proportion of principals x total number of attendees
If we plug in the values, we get:
number of principals = 52/70 x 750 = 557
So, based on this prediction, we can say that there were 557 principals in attendance at the conference.
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Which of the following equations represents a linear function?
y equals two thirds times x squared
x = 5
y equals negative one fourth times x plus 5
2x + 7 = 12
The equation "y equals negative one fourth times x plus 5" represents a linear function.
Selecting the linear functions?A linear function is a function whose graph is a straight line. The equation of a linear function can be written in the form y = mx + b, where m is the slope of the line and b is the y-intercept.
Out of the given equations, only "y equals negative one fourth times x plus 5" can be written in the form y = mx + b, where m = -1/4 and b = 5.
Therefore, the equation "y equals negative one fourth times x plus 5" represents a linear function.
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Which of the following people would you expect to have the best
employee benefits?
O new hire at a large company
O part-time at a small company
O full-time employee at a large company who has been there for years
O new hire at a small company
Answer:
A full-time employee at a large company who has been there for years would typically have the best employee benefits.
Large companies often have more resources to provide extensive employee benefits packages, including health insurance, retirement plans, paid time off, and other perks. Full-time employees who have been with the company for years may be eligible for additional benefits, such as higher matching contributions to retirement plans and increased vacation time.
New hires at both small and large companies may not have access to as many benefits initially, as they may need to work for a certain period before becoming eligible. Part-time employees may also have limited access to benefits, depending on the company's policies.
Overall, the length of time an employee has been with the company and the size of the company are two important factors in determining the quality and quantity of employee benefits.
A prism has a pentagonal base. The area of the pentagon is 45 cm up 2, the height of the prism is 13 cm. Find the volume of the prism.
The volume of the prism is approximately 4519.16 cubic centimeters.
We have,
To find the volume of the prism, we need to multiply the area of the base by the height.
The area of a regular pentagon can be found using the formula:
[tex]$A = \frac{5}{4} s^2 \cot(\frac{\pi}{5})$[/tex]
where s is the length of the side of the Pentagon.
We are given that the area of the pentagon is 45 cm².
Solving for s:
[tex]$45 = \frac{5}{4} s^2 \cot(\frac{\pi}{5})$\\[/tex]
[tex]$s^2 = \frac{4}{5} \cdot \frac{45}{\cot(\frac{\pi}{5})}$\\[/tex]
[tex]$s^2 \approx 28.478$\\[/tex]
[tex]$s \approx 5.334$[/tex]
Now that we know the length of a side of the pentagon, we can find the area of the base of the prism:
[tex]$A_{base} = 5 \cdot \frac{1}{2} s \cdot h$[/tex]
[tex]$A_{base} = 5 \cdot \frac{1}{2} \cdot 5.334 \cdot 13$[/tex]
[tex]$A_{base} \approx 346.935$[/tex]
Finally, we can find the volume of the prism:
[tex]$V = A_{base} \cdot h$[/tex]
[tex]$V = 346.935 \cdot 13$[/tex]
[tex]$V \approx 4519.16$[/tex]
Therefore,
The volume of the prism is approximately 4519.16 cubic centimeters.
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!!PLEASE HELPPPPP MEEE!!
Using simple interest his interest is $ 1165.50
What is simple interest?Simple interest is given by I = PRT/100 where
P = principal, R = rate and T = timeGiven that Tucker deposits an amount of $7400 in an account that pays 3.15 % simple interest. Since he keep the amount in the account for 5 years without making any withdrawal or deposits, we need to find the amount of interest after 5 years.
Using the simple interest formula,
I = PRT/100
Given that
P = $ 7400, R = 3.15 % and T = 5 yearsSo, substituting the values of the variables into the equation, we have that
I = PRT/100
I = $ 7400 × 3.15 % × 5/100
= $ 74 × 315 × 5/100
= $ 116550/100
= $ 1165.50
So, his interest is $ 1165.50
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Write an equation in vertex form (-2,0)
The required vertex form from the given points (-2, 0) is f(x) = a(x – h)2 + k respectively.
What is a quadratic function?A polynomial of degree two in one or more variables is known as a quadratic polynomial in mathematics.
A quadratic function is a polynomial function that a quadratic polynomial defines.
The graph of a quadratic function resembles a parabola.
A polynomial equation with a maximum degree of two is referred to as a quadratic equation. Where a 0, the equation is given by ax² + bx + c = 0.
A quadratic function has the vertex form f(x) = a(x - h)2 + k, where a, h, and k are constants.
So, we have the points:
(-2, 0)
Now, insert the values in the form: f(x) = a(x – h)2 + k
Where, a, h, and k are constants.
Then, the vertex form would be:
f(x) = a(-2 – h)2 + k
Therefore, the required vertex form from the given points (-2, 0) is f(x) = a(x – h)2 + k respectively.
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The graph of g(x)=(x – 2)2+10 is a translation of the graph of the parent function units right and units up.
The graph of g(x)=(x – 2)²+10 is a translation of the parent function f(x) = x²by² units to the right and 10 units up.
What is the linear function?A linear function is defined as a function that has either one or two variables without exponents. It is a function that graphs to a straight line.
According to the given information:The graph of the function g(x) = (x-2)² +10 is a transformation of the parent function f(x) = x² that has been shifted 2 units to the right and 10 units up.
To see this, consider the vertex of the graph of g(x), which occurs at the point (2, 10). This vertex represents the minimum value of the function and is located 2 units to the right and 10 units up from the vertex of the parent function f(x), which is at the origin (0, 0). Therefore, we can say that the graph of g(x) is a translation of the graph of f(x) by a vector (2, 10).
Therefore, The graph of g(x) = (x-2)² +10 is a translation of the parent function f(x) = x²by² units to the right and 10 units up. The vertex of g(x) is located at (2, 10), which is 2 units to the right and 10 units up from the vertex of f(x) at (0, 0).
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PLEASE ANSWER ASAP
IT WOULD BE HELPFUL
The answer of the given question based on the cylinder is , the volume of the solid = 929.44 inch³ . , the mistake is student may have only calculated the volume of the inner cylinder.
What is Volume?
Volume is amount of three-dimensional space occupied by object or substance. It is physical quantity that is measured in cubic units, like cubic meters (m³), cubic centimeters (cm³), or cubic inches (in³). The volume of object can be calculated by measuring its dimensions and using mathematical formula specific to its shape.
To find volume of solid, we need to subtract volume of inner cylinder from volume of outer cylinder.
Volume of the outer cylinder = πr²h
where r = radius of the outer cylinder = 4 inches (diameter is given as 8 inches)
h = height of the outer cylinder = 23 inches
Volume of the outer cylinder = π(4)²(23) = 368π in³
Volume of the inner cylinder = πr²h
where r = radius of the inner cylinder = 2 inches
h = height of the inner cylinder = 18 inches
Volume of the inner cylinder = π(2)²(18) = 72π in³
So, the volume of the solid = Volume of the outer cylinder - Volume of the inner cylinder
= 368π - 72π
= 296π
= 929.44 inch³
The student's answer of 988.05 in³ is significantly higher than the correct answer, suggesting that the student may have only calculated the volume of the inner cylinder instead of subtracting it from the volume of the outer cylinder. This mistake may have arisen due to misreading the problem or misunderstanding the instructions.
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A student is graduating from college in 12 months but will need a loan in the amount of $10,720 for the last two semesters. The student may receive either an unsubsidized Stafford Loan or a PLUS Loan. The terms of each loan are: Unsubsidized Stafford Loan: annual interest rate of 5.95%, compounded monthly, and a payment grace period of six months from time of graduation PLUS loan: annual interest rate of 6.55%, compounded monthly, with a balance of $11,443.63 at graduation Which loan will have a lower balance, and by how much, at the time of repayment? The Stafford loan will have a lower balance by $485.06 at the time of repayment. The PLUS loan will have a lower balance by $485.06 at the time of repayment. The Stafford loan will have a lower balance by $274.54 at the time of repayment. The PLUS loan will have a lower balance by $274.54 at the time of repayment.
The loan that will have a lower balance and the amount is D. The Stafford loan will have a lower balance by $274.54 at the time of repayment.
How to find the balance ?First, find the future balance of the PLUS Loan by the formula :
= Principal x ( 1 + monthly interest rate ) ^ number of months
= $ 11, 443.63 x ( 1 + 0. 005458 ) ⁶
= $ 11, 443.99
Then, find the future balance of the unsubsidized Stafford Loan with the same formula :
= 10, 720 x (1 + 0. 004958) ¹⁸
= $ 11, 169.46
This shows that the unsubsidized Stafford Loan would have a lower balance and the difference would be :
= $11, 443.99 - $11, 169.46
= $ 274.54
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On what interval is the function positive?
f(x) = 2(6)^(x+1) -3
Enter your answer, in interval notation. Round any necessary values to the nearest tenth.
The function f(x) is positive on the interval (-0.744, infinity).
In interval notation: (−0.744, ∞).
What is a function?A function is a relationship between inputs in which each input corresponds to exactly one output.
When [tex]f(x) = 2(6)^{X+1} -3[/tex] is greater than zero, it is positive.
[tex]2(6)^{(x+1) } - 3 > 02(6)^{(x+1)} > 3(6)^{ (x+1) } > 3/2[/tex]
Now taking logs on both sides gives
[tex]log(6)^{ (x+1) } > log3/2[/tex]
(x+1) * log6 > log3/2
(x+1) > [tex]\frac{log3/2}{log6}[/tex]
(x+1) > [tex]\frac{0.17609}{ 0.77815}[/tex]
(x +1) > 0.2265
x > 0.2265 - 1
x > -0.7735
Thus, the function f(x) is positive on the interval (-0.744, infinity).
In interval notation: (−0.744, ∞).
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calculate the z-score for a data value of 80 in a data set with a mean of 52 and a standard deviation of 9. round your answer to the nearest tenth.
The z-score for a data value of 80 in a data set with a mean of 52 and a standard deviation of 9 is approximately 3.1.
The formula for calculating the z-score is:
z = (x - μ) / σ
where x is the data value, μ is the mean, and σ is the standard deviation.
Substituting the given values, we get:
z = (80 - 52) / 9 = 3.11 (rounded to two decimal places)
Therefore, the z-score for a data value of 80 in a data set with a mean of 52 and a standard deviation of 9 is approximately 3.1.
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The z-score for a data value of 80 in this data set is approximately 3.1.
Calculate the z-score for a data value of 80 in a data set with a mean of 52 and a standard deviation of 9.
To find the z-score, follow these steps:
Identify the data value (x), mean (µ), and standard deviation (σ).
In this case, x = 80, µ = 52, and σ = 9.
Use the z-score formula:
z = (x - µ) / σ
Plug in the values:
z = (80 - 52) / 9
Perform the calculations:
z = 28 / 9
Round the answer to the nearest tenth: z ≈ 3.1
So, the z-score for a data value of 80 in this data set is approximately 3.1.
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Cathy & Gina sold baked goods at the festival, they were able to sell 18 items. The pies were $8 and loaves
of bread were $4. They made $112. How many loaves of bread did they sell?
Answer:
Step-by-step explanation:
They sold 34 loafs of bread
If you buy fast food 4 times per week and it costs you about $850 each time, then what should your monthly budget be for fast food?
A. $136
B. $35
C. $100
D. $148
The Monthly Budget for fast food is Option A. $136.
To determine how much money you should budget for fast food, we need to calculate the total amount of money you spend on fast food each week. To do this, we simply multiply the cost of one fast food meal by the number of meals you buy in a week, which is four in this case.
$850 x 4 = $3400 per week
Next, we need to figure out how much money you spend on fast food per month. To do this, we need to multiply the weekly amount by the number of weeks in a month. Most months have around four weeks, so we will use that as an estimate.
$3400 x 4 = $13600 per month
Therefore, the answer is Option A. $136. You should budget around $136 per month for fast food if you buy it four times a week and it costs you about $850 each time.
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Find the area under the χ 2 -curve with 5 degrees of freedom to the right of 9.24.
The area under the X2 curve with 5 degrees of freedom to the right of 1.61, 9.24 and 15.09 is 0.078, 0.0001 and 0 respectively.
What is area?Area is a two-dimensional measure of a surface, such as a length multiplied by a width. It is used to measure the size of a space, such as a room, or a piece of land. Area can also be used to measure the size of a shape, such as a circle or a square. Area is usually measured in units such as square meters (m2) or square feet (ft2).
(a)1.61
The area under the X2 curve with 5 degrees of freedom to the right of 1.61 can be calculated using the following formula:
Area = 1 - Φ(x; df)
Where Φ(x; df) is the cumulative distribution function of the chi-square distribution, and df stands for the degrees of freedom.
For df = 5, Φ(1.61; 5) = 0.922.
Therefore, the area under the X2 curve with 5 degrees of freedom to the right of 1.61 is equal to 1 - 0.922 = 0.078.
(b) 9.24
For df = 5, Φ(9.24; 5) = 0.9999.
Therefore, the area under the X2 curve with 5 degrees of freedom to the right of 9.24 is equal to 1 - 0.9999 = 0.0001.
(c) 15.09
For df = 5, Φ(15.09; 5) = 1.
Therefore, the area under the X2 curve with 5 degrees of freedom to the right of 15.09 is equal to 1 - 1 = 0.
In conclusion, the area under the X2 curve with 5 degrees of freedom to the right of 1.61, 9.24 and 15.09 is 0.078, 0.0001 and 0 respectively.
Complete questions as follows-
find the area under the x2 -curve with 5 degrees of freedom to the right of (a) 1.61 (b) 9.24 (c) 15.09.
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Which of the following options have the same value as 72%, percent of 50?
Tasha has a gift card to buy tickets to the movie theater. The initial value of the gift card is $120 . The function M(x)=120-12x represents the amount of money, M , in dollars, that is still left on the gift card after purchasing x movie tickets at a cost of $12 each.
Complete the statements.
The value of is 60/-60 which is viable/not viable in terms of the given context.
The solution to the linear function M(x) = 180 is of x = -5.
What is a Linear Function Equation?The linear function equation is the slope-intercept form. Thus, it is expressed as f(x) = mx + b where m is the slope and b is the y-intercept of the line.
In this problem, the function is defined as follows:
M(x) = 120 - 12x.
M(x) represents the balance remaining on the gift card after x movie tickets priced at $12 are purchased.
The domain of the situation is given as follows:
x ≥ 0. {discrete}
As the number of tickets cannot assume negative neither decimal values.
The equation is:
M(x) = 180.
The solution is calculated as:
120 - 12x = 180
12x = -60
x = -60/12
x = -5.
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Solve each equation for x. X2+ax-3ab-3bx=0
The solutions of equation for x are (3b + √(9b² + 12ab(a - b))) / 2a and (3b - √(9b² + 12ab(a - b))) / 2a
To solve the equation x² + ax - 3ab - 3bx = 0 for x, we can use the quadratic formula, which is given by:
x = (-b ± √(b² - 4ac)) / 2a
In this situation, the quadratic equation's coefficients are:
a = a
b = -3b
c = -3ab
x = (3b ± √(9b² + 12ab(a - b))) / 2a
Therefore, the solutions for x are:
x = (3b + √(9b² + 12ab(a - b))) / 2a
x = (3b - √(9b² + 12ab(a - b))) / 2a
Therefore, the solutions of equation for x are (3b + √(9b² + 12ab(a - b))) / 2a and (3b - √(9b² + 12ab(a - b))) / 2a
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Answer:
Step-by-step explanation:
bro its just -14/a
that simple
to be honest if ur here ur not looking for "how to solve the question ur just looking for the answers
its just -14/a
Help me calculate this integral!
Answer:
Step-by-step explan 456
Help 44 PONITS
Graph the inverse for each relation below ‐ show answers right over the existing graph on the same
plane. 3 points each
The inverse of the graphs are added as an attachment
Plotting the inverse of the graphTo plot the inverse of a graph, you can follow these steps:
Start with a function f(x).Replace f(x) with y.Swap the x and y variables so that the equation is in terms of x and y.Solve for y to get y = f^(-1)(x), which represents the inverse function.Plot the original function f(x) on a coordinate plane.Reflect the graph of f(x) across the line y = x to get the graph of fSee attachment for the graphs
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Prove that ST^2=TU*TV
Hence proved,[tex](ST)^2=(TU*TV)[/tex]for given figure.
What is the right triangle?A right triangle or right-angled triangle, or more formally an orthogonal triangle, formerly called a rectangle triangle, is a triangle in which one angle is a right angle, i.e., in which two sides are perpendicular. The relation between the sides and other angles of the right triangle is the basis for trigonometry.
What is the Pythagoras theorem?In mathematics, the Pythagoras theorem or Pythagorean theorem is a fundamental relation in Euclidean geometry between the three sides of a right triangle. It states that the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides.
Use Pythagoras theorem , in given figure
than we get ,
in ΔTSU,
[tex](TU)^2=(ST)^2+(SU)^2[/tex]......(I)
inΔTVS,
[tex](ST)^2=(TV)^2+(SV)^2[/tex]......(II)
inΔSVU,
[tex](SU)^2=(VU)^2+(VS)^2[/tex].....(III)
from (I),
[tex](TU)^2-(ST)^2=(SU)^2=(VU)^2+(VS)^2[/tex]....(IV) {by (III)
according to figure,TU=TV +VU
∴ [tex](TV+VU)^2=(VU)^2+(VS)^2+(ST)^2=(VU)^2+(VS)^2+(TV)^2+(SV)^2[/tex]{by (II)
use the identity,is
[tex](a+b)^2=a^2+2ab+b^2\\(TV)^2+2(TV)*(VU)+(VU)^2=(VU)^2+2(SV)^2+(TV)^2[/tex]
after simplification,
⇒[tex](TV)*(VU)=(SV)^2[/tex]
according to figure,TU=TV +VU ⇒VU=TU-TV
[tex](TV)*(TU-TV)=(SV)^2\\(TV*TU)-(TV)^2=(SV)^2\\(TV*TU)-(TV)^2=(SV)^2\\(SV)^2+(TV)^2=(TV*TU)\\(ST)^2=(TV*TU) {by(II)\\ OR (ST)^2=(TU*TV)[/tex]
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Quick question need help
Answer:
18.8651
Step-by-step explanation:
(im not the best at explaining, so sorry if i dont explain it well, but ill try!)
so rounding a number to a certain amount of sig figs is a pretty easy concept to grasp, in my opinion.
ex: lets say you need to round 231.45 to 3 sif figs.
basically what you have to do in this situation is count the digits up to you get to the 3rd digit.
check if the digit that follows it is smaller or bigger than 5 to see if the 3rd number will stay the same or has to go up a number.
for this problem the third digit is 1, and the digit that follows it is 4. but 1 is less than 4, so that means that it will stay as 1.
thus the answer would be 231.
if that didnt make sense, comment on my answer and ill try to give you more examples
if the series 3 3z 6z^2 9z^3 is geometric, give the initial term, and the ratio between successive terms
The series is not geometric.
What is geometric series?
In mathematics, the geometric series means the sum of the terms that have a common ratio between every adjacent two terms of them. There can be two types of geometric series: finite and infinite.
The given series is
3 , 3z, 6z², 9z³
The given series is either geometric or not.
The initial term or the first term is 3 which also can be written as 3z⁰
Ratio between successive terms can be determined by
second term/ first term
Here second term is 3z and first term is 3
So the ratio is 3z/3
= z
If the series is geometric then
it must be equal to 6z²/ 3z= 2z and 9z³/ 6z² = (3/2)z
The ratios are not equal to each other.
Hence, the series is not geometric.
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Michael fills a plastic ball with air until it is a sphere with a radius of 6 cm. What is the volume of the ball?
The volume of the ball is 904.78 cubic cm
We know that the formula for the volume of sphere is:
V = (4/3) × π × r³
where r is the radius of the sphere
Here, Michael fills a plastic ball with air until it is a sphere with a radius of 6 cm.
So, the radius of spherical ball r = 6 cm
Using above formula of volume of sphere, the volume of the ball would be,
V = (4/3) × π × r³
V = (4/3) × π × (6)³
V = (4/3) × π × 216
V = 904.78 cubic cm
Therefore, the required volume = 904.78 cubic cm
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Please help me please help me please help me please help, please help
A cone has a height of 13 yards and a radius of 12 yards. What is its volume? Use л ~ 3.14 and round your answer to the nearest hundredth.
Please help me
The volume of the cone is 1960.64 cubic yards.
We have,
The formula for the volume of a cone is:
V = (1/3)πr²h
where π is approximately 3.14, r is the radius, and h is the height.
Substituting the given values, we get:
V = (1/3) x 3.14 x 12² x 13
V = (1/3) x 3.14 x 144 x 13
V = 1/3 x 3.14 x 1872
V = 1960.64
Rounding to the nearest hundredth, we get:
V = 1960.64
Therefore,
The volume of the cone is 1960.64 cubic yards.
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20 POINTS!!!!!!!
For what value of x must the quadrilateral be a parallelogram?
5x
X =
28
(3x+28)
work:
APR
12
!!!
tv
SA
C
Simplify the radical
[tex]\sqrt{x} 245[/tex]
The radical expression √45 when simplified has a value of 3√5
Simplifying the radical expressionFrom the question, we have the following parameters that can be used in our computation:
The radical expression √45
Express 45 as the product of 9 and 5
So, we have the following representation
√45 = √(9 * 5)
Expand the expression
This gives
√45 = √9 * √5
Take teh square roots of 9
This gives
√45 = 3 * √5
Lastly, we have
√45 = 3√5
Hence, the radical expression when simplified is 3√5
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Complete question
Simplify the radical √45
Which inequality represents the values of that ensure triangle ABC exists?
A
2x + 4
B
18
6x
O A. < x < 1/1
OB. -< < 1/1
O C.
1 < x < 5
OD. 2 < x < 6
C
The Inequality which ensure triangle exists is 22 > 4x > 7.
What is inequality ?Inequality is defined as the relation between two quantities with the sign of inequality that is >, <, ≤ , ≥ ."
Theorem used In ΔABC,
AB + BC >AC
AC+ BC >AB
AC + AB > BC
According to the question,
In triangle ABC.
AC = 18units
BC = 6x units,
AB = 2x + 4 units
.
Substitute the value in the inequality to ensure triangle exists we get 4x > 7 and 22 > 4x.
From (1) and (2) inequality of triangle we get 22 > 4x > 7.
Hence, Inequality which ensure triangle exists is 22 > 4x > 7.
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Which inequality represents the values of that ensure triangle exists? a triangle with these side lengths: AC = 18 units, BC = 6x units, and AB = 2x + 4 units
Martin is building a wire-screen chicken coop in the shape of a rectangular prism. The coop has a height of 42 inches, a width of 36 inches, and a length of 48 inches. Martin wants to determine the total surface area of the coop in order to purchase the correct amount of wire screening.
Which of the following expressions represents the total surface area of the right rectangular prism with the dimensions given above?
The total surface area of the wire-screen chicken coop is 10512 square inches.
What is surface area?The space occupied by a two-dimensional flat surface is called the area. It is measured in square units. The area occupied by a three-dimensional object by its outer surface is called the surface area
According to the given information:the total surface area of the right rectangular prism, we use the formula:
2lw + 2lh + 2wh
where l, w, and h are the length, width, and height of the prism, respectively.
We are given the height, width, and length of the wire-screen chicken coop, which are 42 inches, 36 inches, and 48 inches, respectively.
Substituting these values in the formula, we get:
2(36)(48) + 2(36)(42) + 2(48)(42)
Multiplying out, we get:
= 3456 + 3024 + 4032
Adding these terms, we get the total surface area:
= 10512
Therefore, the total surface area of the wire-screen chicken coop is 10512 square inches.
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How do you find the equation?
The equation of the line CD obtained from the slope of the line AB, and the coordinates of the point C is; 7·y - 3·x = 2
What is the slope of a line?The slope of a line is the ratio of the rise to the run of the line.
The specified information indicates;
AB ║ CD
The coordinates of the point A is (-3, 2), the coordinates of the point B is (4, 5)
The slope of the segment AB is therefore; (5 - 2)/(4 - (-3)) = 3/7
The coordinates of the point C is; (4 , 5 - 3) = (4, 2)
The equation of the line CD is therefore; y - 2 = (3/7)·(x - 4)
7·y - 14 = 3·x - 12
7·y - 3·x = 14 - 12 = 2
The equation of the segment CD is; 7·y - 3·x = 2
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below you are given a partial excel output based on a sample of 16 observations. anova df ss ms f regression 4,853 2,426.5 residual 485.3 coefficients standard error intercept 12.924 4.425 x1 -3.682 2.630 x2 45.216 12.560 the t value obtained from the table that is used to test an individual parameter at the 1% level is . a. 2.921 b. 2.977 c. 2.65 d. 3.012
To discover the t-value for testing a person parameter at the 1% level, we ought to isolate the coefficient appraise by its standard deviation and compare it to the t-distribution with suitable degrees of flexibility.
For case, to test the parameter gauge for x1, we would calculate the t-value as: t = (-3.682) / 2.630 ≈ -1.4
At that point compare this t-value to the t-distribution with 485 degrees of flexibility (which compares to the leftover degrees of opportunity), and decide on the off chance that it surpasses the basic esteem at the 1% level (which is around 2.977).
In any case, the given yield does not demonstrate which parameter appraise is being tried, so we cannot decide the comparing t-value. Hence, none of the reply choices are rectified.
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Use your shapes to create a new shape with an area of 4 square units. Trace your shape.
We can construct a shape of area 4 square meters using the four shapes square, rectangle, triangle and parallelogram.
What are your knowledge of area ?Area is the entire amount of space occupied by a flat (2-D) surface or an object's shape.
The area of a plane figure is the area that its perimeter encloses. The amount of units in a figure determines its area. Area is measured in square units like cm² and m². Area of a shape is a two dimensional quantity.
Area of a square = side² (a²)
Area of a triangle = 1/2 × base length × height (1/2×b×h)
Area of a rectangle = length × breadth ( l×b )
Area of a parallelogram = base length × height ( b×h)
Consider the square of side 1 m
Area = 1 × 1 = 1 m²
Now consider the triangle of base length , b = 1/2 m and height, h = 2 m
∴ Area = 1/2×1/2×2 = 1/2 m²
Once more , area of the parallelogram of side 1 m and height 2 m is given by
Area = 1×2= 2 m²
For the rectangle of length 1/2 m and breadth 1 m
Area = l × b = 1/2 × 1 = 1/2 m²
∴ Total area = 1 + 1/2 + 2 + 1/2 = 4 square meter.
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