Answer:
The step which is used is to construct the altitude from the incentre to a side of triangle and label the intersection point.
Step-by-step explanation:
Given point d is is the center of inscribed circle.
To construct the inscribed circle of abc we have several steps of construction
Step 1: First step is to construct the incenter with the help of angle bisectors of two base vertices.
Here given d center of inscribed circle that means the incenter given.
Step 2: After incenter, draw a line perpendicular to one side of triangle that passes through incenter and the label the point of intersection.
This is very important step because after labelling measure the radius(same as the distance between the incenter and labelled point) and draw the circle.
Hence, after incenter The next step is to construct the altitude from the incentre to a side of triangle and label the intersection point.
Step 2 is used draw inscribed circle when incenter already given.
the angle of elevation from point a to the top of a cliff is 38. if point a is 80 feet from the base of the cliff, how high is the cliff?
The height of cliff is 62.50 ft
What is height and distance?Height is the measurement of an item in the vertical direction, whereas distance is the measurement of an object in the horizontal direction from a certain location.
Given that, the angle of elevation from point A to the top of a cliff is 38°, the point A is 80 feet from the base of the cliff,
Refer to figure attached,
The scene is making a right triangle, with an acute angle 38°, and base (distance from point to base of the cliff) 80 ft, we need to find the length of perpendicular line which is the height of the cliff,
Therefore,
We know that,
tan β = ratio of the perpendicular side to base of a triangle,
Therefore,
tan 38° = AB / 80
AB = 62.50
Hence, the height of cliff is 62.50 ft
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what is sum of a geometric series?
A geometric progression is the sum of the terms of a geometric progression. The nth partial sum of a geometric sequence can be calculated from the first term a1 and the common quotient r as: Sn=a1(1−rn)1−r.
A geometric progression is a sequence of numbers formed by multiplying the common quotient 'r' by each of the preceding numbers. The first term in this series is a1. And the nth partial sum of the series, Sn is calculated by multiplying the first term a1 by the magnitude (1-rn) divided by (1-r).
This equation gives us the sum of the first n terms of a geometric progression. For example, if a1 = 2 and r = 2, then partial sum S3 of the first three terms in the series is 2*(1-2^3)/(1-2)= 2/1 = 2. In other words is the sum of the first three terms of series '2.' The subsumed equation is very useful tool for computing sum of any number of terms in a geometric series.
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what is the answer to (7x + 2) (5x − 11)
Answer:
35xΔ2-67x-22
Step-by-step explanation:
The triangle below is equilateral. Find the length of side x in simplest radical form with a rational denominator.
The length of side x in simplest radical form with a rational denominator is [tex]\sqrt{3} /2[/tex].
What is the equilateral triangle?
In an equilateral triangle, all sides are equal in length.
That means that all the angles of the triangle will be congruent.
Since a triangle has 3 angles that always add up to 180 degrees, each angle is 60 degrees.
Therefore, the hypotenuse of the equilateral triangle is 1.
So,
[tex]x = 1 * sin60[/tex]°
[tex]x = 1 * \sqrt{3} /2\\x = \sqrt{3} /2[/tex]
Hence, The length of side x in simplest radical form with a rational denominator is [tex]\sqrt{3} /2[/tex].
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what is the average of 90 and 100?
Answer:
Step-by-step explanation:
(90 +100) / 2 = 190/2 = 95
pls help................I attached my question.
Answer: The new perimeter is 2334 inches.
Step-by-step explanation:
The way to find perimeter is 2L + 2W. The original length was 799 inches and 23 inches were added. 799 in. + 23 in. = 822 in. The width is 245 in. 2(822) + 2(245) = Perimeter. 1844 in. + 490 in. = 2334 in. is the Perimeter.
Select all that apply.
A spinner is divided into 5 equal sections. Which of the following are true?
The theoretical probability is 20% for each section.
Each section of the spinner is equally likely to be spun.
The experimental probability is 5 for each section.
If the spinner is spun 80 times, you would predict it to land on each section 16 times.
Answer:
I'd say the first and third options would be correct.
Step-by-step explanation:
Answer:
Below
Step-by-step explanation:
If it is a fair spinner then
First option is true
second option is true
third option cannot be determined from info given
4th option is true
how to convert 147 cm in feet?
The conversion of the unit centimeters to feet is written as 147 centimeters = 4.82283 feet.
Centimeters and feet are the units that are used for measuring the length of the any given parameter.
Conversion of the unit centimeter into feet is written as :
Value of one centimeter = 0.0328084 feet.
To convert the given value 147 centimeters substitute in the given relation we have,
⇒ ( 147 × 1 ) centimeters = ( 147 × 0.0328084 ) feet
⇒ 147 centimeters = ( 4.822835 ) feet
⇒ 147 centimeters = ( 4.8228 ) feet ( Round upto four decimals )
Therefore, after conversion the measurements centimeters to feet we have 147 cm is equal to ( 4.8228 ) feet ( Round upto four decimals ) .
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Yo please Can i get some help
Answer:
it will have one real solution
Step-by-step explanation:
a plumer charges $25 for a service call plus $50 per hour of service. write an equation in slope - intercept form for cost , c ,after h hours of service, what will be the total cost for 8 hours of work? 10 hours of work
The total cost for 10 hours of work would be 25 + 50(10) = 525.
What is cost?Cost is the monitorial associated with the purchase of production of food or service if can include the prices of material of which is over it and other expenses that are related to the production of the code of service cost is a major fraction of when deciding whether to purchase a product something as it is and indicator of the value of the product of sound service.
The marginal cost of producing 5 items can be calculated using the equation C(x)=1300+4x/10. The marginal cost is the cost associated with producing one additional item. To calculate the marginal cost, we can plug in x=5 into the equation.
The equation in slope-intercept form for cost, c, after h hours of service is c = 25 + 50h.
The total cost for 8 hours of work would be 25 + 50(8) = 425.
The total cost for 10 hours of work would be 25 + 50(10) = 525.
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This graph represents a transformation of the parent cube root function.
Replace the values of h and k to create the equation of the transformed function.
The transformed parent cube root function's equation is,
y = ∛(x-4) - 1.
How can one tell if a point is located on a function's graph?The equation of the function is satisfied by all (and only those) points that lie on the graph of the function.
Hence, if a point fits on a function's graph, it must also fit the function.
The parent cube root function is transformed in the shown graph
The Parent cube root function is
y = ∛(x -h) - k
where the value of h and k is equal to 0
h=0, k=0 in parent function
At (0,0) in the parent function, the graph changes orientation.
We can observe from the above graph that it changes direction at (4,-1) meaning it is moved 4 units to the right and 1 unit down.
So, the value of h=4 and value of k=1
The equation of the transformed function is,
y = ∛(x-4) - 1
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The three sides of a triangle (triangle 2) measure a = 18. 5 in, b = 12. 2 in, and c = 50. 6 in. What are the three internal angles: α, β, and θ?
The three internal angles of the triangle are α = 21.3°, β = 139.7°, and θ = 88.9°.
We can use the Law of Cosines to solve for the angles of the triangle:
cos(α) = (b² + c² - a²) / (2bc)
cos(β) = (a² + c² - b²) / (2ac)
cos(θ) = (a² + b² - c²) / (2ab)
Substituting the values given in the problem, we get:
cos(α) = (12.2² + 50.6² - 18.5²) / (2 x 12.2 x 50.6) = 0.929
α = cos⁻¹(0.929) = 21.3°
cos(β) = (18.5² + 50.6² - 12.2²) / (2 x 18.5 x 50.6) = -0.777 (note the negative value)
β = cos⁻¹(-0.777) = 139.7°
cos(θ) = (18.5² + 12.2² - 50.6²) / (2 x 18.5 x 12.2) = 0.056
θ = cos⁻¹(0.056) = 88.9°
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HURRY PLEASEEEEE
Which term is −234,375 for the following sequence, assuming that the pattern continues?
3, −15, 75, −375, …
1. a8
2. a9
3. a10
4. a11
Answer:
a8
Step-by-step explanation:
Here you go.
nth term is ar^n-1
Do you believe initiative is an important quality? Defend your answer.
sinθ = -0.9798 (rounded to two decimal places).
What is the Trigonometry ?
Trigonometry is a branch of mathematics that deals with the relationships between the sides and angles of triangles, and the trigonometric functions that describe those relationships.
We can use the identity sin²θ + cos²θ = 1 to find sinθ, since we know cosθ:
sin²θ + cos²θ = 1
sin²θ + 0.2² = 1 (substituting cosθ = 0.2)
sin²θ = 0.96
Taking the square root of both sides, we get:
sinθ = ± 0.9798
Since θ is in the second quadrant, sinθ is negative.
Hence, sinθ = -0.9798 (rounded to two decimal places).
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This pattern follows the rule "multiply by 2."
4, 8, 16, 32, 64, 128
What other observation can you make about the number pattern?
Answer:
Step-by-step explanation:
256. You can make this observation because they pattern has a rule that you multiply by 2 to get the next number.
Answer:
Another observation we can make about this number pattern is that each term is obtained by doubling the previous term. This means that the pattern is an example of exponential growth, where the growth factor is 2.
We can also observe that the sequence is a power of 2, where the first term is 2^2, the second term is 2^3, the third term is 2^4, and so on. In other words, the nth term in the sequence can be represented by the formula 2^(n+1).
Additionally, we can see that the sequence is an increasing sequence, where each term is greater than the previous one. This is because we are multiplying each term by 2, which means that each subsequent term will be twice as large as the previous one.
7. Which of the following is the best estimate of the correlation coefficient for the data shown in the scatter plot? A. -0.9 B. -0.4 C. 04 D. 09
The correlation coefficient for the data shown in the scatter plot is- 0.9.
What does correlation coefficient mean?The correlation coefficient is a measure of the strength of the linear relationship between two variables. It ranges from -1 to 1, where -1 indicates a perfect negative correlation, 0 indicates no correlation, and 1 indicates a perfect positive correlation. The correlation coefficient can be used to measure the strength of the linear correlation between two variables, as well as identify whether a relationship between two variables is positive or negative. It can also be used to compare the strength of different relationships between multiple variables.
The scatter plot shows a strong negative linear relationship between the two variables, indicating that as one variable increases, the other variable decreases. Therefore, the correlation coefficient is likely to be close to -1, making -0.9 the best estimate.
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7. Find the slope of a line that is parallel to the line containing the points (3, 4) and (2,6).
SOMEONE ANSWER FAST ITS THE LAST QUESTION
The slope of a line that is parallel to the line containing the points (3, 4) and (2, 6) is -2.
What is the slope of a line that is parallel to the line containing the points (3, 4) and (2,6)?To find the slope of a line that is parallel to the line containing the points (3, 4) and (2, 6), we first need to find the slope of the line containing these points. We can use the slope formula:
m = (y2 - y1) / (x2 - x1)
Where:
m = slope
(x1, y1) = coordinates of the first point (3, 4)
(x2, y2) = coordinates of the second point (2, 6)
Substituting the given values, we get:
m = (6 - 4) / (2 - 3)
m = -2
The slope of the line containing the points (3, 4) and (2, 6) is -2.
Since we are looking for a line that is parallel to this line, the slope of the parallel line will also be -2.
Therefore, the slope of the parallel line is -2.
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Which of the following represents the total area of the figure?
44 ft2
400 ft2
440 ft2
484 ft2
Answer:
484ft
Step-by-step explanation:
Split the shape into different shapes like triangles and squares.
area of a triangle: [tex]A=\frac{ab}{2}[/tex]
Area of a square: A = l x w
Please tell me if this is correct
No,Sarah would have 16 small stones and 14 large stones on the sixth day, since it's +4 small stones and +3 large stones per day. You must show your working if you want the marks. Best of luck!
]Which are the solutions of x2 = 19x + 1
Answer:
x = [tex]\frac{1}{19}[/tex]
Step-by-step explanation:
2 = 19x + 1 Subtract 1 from both sides
2 - 1 = 19x + 1 - 1
1 = 19x Divide both sides by 19
[tex]\frac{1}{19}[/tex] = [tex]\frac{19x}{19}[/tex]
[tex]\frac{1}{19}[/tex] = x
100 points and brainliest!!!!!!!!
The system of equations has no solution. Option A is the correct optio.
What is the system of equations?
Simultaneous equations, or a system of equations, Two or more equations in algebra must be solved jointly. The number of equations must match the number of unknowns for a system to have a singular solution.
Given system of equations is
3x - 9y =0 .....(i)
-x + 3y = -3 .....(ii)
Multiply -3 with equation (ii)
3x - 9y = 9 .....(iii)
Subtract equation (i) from (iii):
3x - 9y = 9
3x - 9y =0
________
0 = 9
Which is a false statement.
Thus the system of equations has no solution.
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Answer:
the answer is A. 0
What is the slope of the line that passes through the points (-5,6) and (-9,-6) write answer in simplest form
Answer:
m = 3
Explanation:
the slop is 3
what is integral of cos?
The indefinite integral of cos(x) is sin(x) + C, and we can find the definite integral of cos(x) between two limits by evaluating sin(x) + C at the upper and lower limits and subtracting the results.
The integral of cos(x) is sin(x) + C, where C is the constant of integration.
The notation for the integral of cos(x) is ∫cos(x) dx, where the symbol ∫ represents the integral sign, cos(x) is the function being integrated, and dx represents the variable of integration, which in this case is x.
The antiderivative of cos(x) is sin(x), meaning that if we take the derivative of sin(x), we get cos(x). The constant of integration, C, is added because the derivative of a constant is always zero.
Therefore, the indefinite integral of cos(x) is sin(x) + C, and we can find the definite integral of cos(x) between two limits by evaluating sin(x) + C at the upper and lower limits and subtracting the results.
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Cameron read that his favorite NBA team won their game last night by a score of 142 to 124. Which is true about the digit 2 in each number? The 2 in 142 represents a greater value than the 2 in 124 because 142 > 124. O The 2 in 142 represents a greater value than the 2 in 124 because it is farther right The 2 in 142 represents of the value of the 2 in 124. The 2 in 142 represents 10 times the value of the 2 in 124.
The correct statement about position of 2 is the 2 in 142 represents 10 times the value of the 2 in 124.
We know about the place value of digits. It states that the first digit on the Right Hand Side is the units place. Moving to the left, the next digit holds the value of tens. Moving further left the value increases 10 times.
Based on this, 142 has 2 at the leftmost place. Thus, it's value is 2. But, in the number 124, the two is at second position. It makes it value 20 (as 2 × 10 = 20). Therefore, the number in 124 is ten times of the number is 142.
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In January a baby elephant weighs 180kg. By March the weight of the baby elephant had increased by ⅜. Work out the weight of the baby elephant in March
The weight of th baby elephant in the month of March would be 247.5 Kg.
What is weight?Weight of a body is the force exerted by the earth on the body on the surface of the earth towards its center.
Given is that in January a baby elephant weighs 180kg. By March the weight of the baby elephant had increased by ⅜.
Assume the weight of the baby elephant in March would be {x} Kg. We can write -
{x} = 180 + 3/8 of 180
{x} = 180 + 3/8 x 180
{x} = 180 + 67.5
{x} = 247.5 Kg
Therefore, the weight of th baby elephant in the month of March would be 247.5 Kg.
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Mr.Punch is making a drink with a volume of 1 gallon 3 pints.If each adult is served 2 cups and each kid is served 1 cup, how many ways the adults and kids be served?
The number of ways the adults and the kids can be served is 831600
How to determine the ways the adults and kids be served?From the question, we have the following parameters that can be used in our computation:
Volume = 1 gallon 3 pints
By conversion
1 gallon = 8 pints
So, we have
Volume = 8 pints + 3 pints
Volume = 11 pints
Also, we have
Adult = 2 cups
Kid = 1 cup
Convert to pints
Volume = 11 pints
Adult = 4 pints
Kid = 2 pints
The number of ways is then calculated as
Ways = 11!/(4! * 2!)
Evaluate
Ways = 831600
Hence, the number of ways is 831600
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Perform the following translations on the given figures.
The coordinates of triangle A'B'C' after a translation of triangle ABC based on the transformation rule (x, y) → (x - 4, y + 3) are A' (-2, 7), B' (-2, 0), and C' (3, 0).
The coordinates of quadrilateral Q'R'S'T' after a translation based on the transformation rule are Q' (-2, 0), R' (4, 0), S' (-2, -8), and T' (-2, -8).
What is a translation?In Mathematics, the translation of a geometric figure to the right simply means subtracting a digit to the value on the x-coordinate (x-axis) of the pre-image of a function.
By translating the coordinate of triangle ABC to the left by 4 units and vertically upward by 3 units, the coordinates include the following:
(x, y) → (x - 4, y + 3)
Coordinate A = (2, 4) → Coordinate A' (2 - 4, 4 + 3) = (-2, 7).
Coordinate B = (2, -3) → Coordinate B' (2 - 4, -3 + 3) = (-2, 0).
Coordinate C = (7, -3) → Coordinate C' (7 - 4, -3 + 3) = (3, 0).
By translating the coordinate of quadrilateral QRST vertically downward by 4 units, the coordinates include the following:
(x, y) → (x, y - 4)
Coordinate Q = (-2, 4) → Coordinate Q' (-2, 4 - 4) = (-2, 0).
Coordinate R = (4, 4) → Coordinate R' (4, 4 - 4) = (4, 0).
Coordinate S = (-4, -4) → Coordinate S' (-4, -4 - 4) = (-2, -8).
Coordinate T = (-2, -4) → Coordinate T' (-2, -4 - 4) = (-2, -8).
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What is the gradient of the surface?
The gradient of the surface can be described as a vector.
The gradient of a surface, which is a vector, represents the size and direction of the sharpest increase in value at a certain location. The magnitude of this vector, which denotes the direction of the greatest rate of rise of the surface, indicates how steep the rise is. The influence of this gradient is felt along a surface, which is the difference. It stands in for a unit that is level with the ground.
In mathematics, the vector grad f(x,y,z) = (df/dx, df/dy, df/dz) represents the gradient of a three-variable function with scalar values, f(x,y,z). Variables like optimization and electromagnetism employ the gradient of a surface, which is a crucial notion in vector calculus. In particular, the gradient of a surface is frequently used to compute the normal vector to a surface or to identify the direction of the steepest rise or drop in a landscape.
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MaryAnn is printing photos from her recent trip to Europe. An online print shop charges $0.15 per 4x6-inch print, along with a $3.00 fee shipping charge. If MaryAnn has $35 to spend, how many prints can she order?
MaryAnn can order a total of 213 prints for cost $35, including shipping.
Each print costs $0.15, so MaryAnn can order $35/$0.15 = 233.33 prints, but since she can only order whole prints, she can order a maximum of 233 prints.
The shipping charge is a flat fee of $3.00 per order, regardless of how many prints MaryAnn orders.
Let's say MaryAnn orders x prints, then her total cost would be:
Cost = $0.15 x + $3.00
Since her total cost can't exceed her budget of $35, we can set up the following inequality:
$0.15 x + $3.00 ≤ $35.00
Subtracting $3.00 from both sides, we get:
$0.15 x ≤ $32.00
Dividing both sides by $0.15, we get:
x ≤ 213.33
Since MaryAnn can only order whole prints, she can order a maximum of 213 prints.
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Suppose that a certain population obeys the logistic equation dy/dt = ry[1 - (y/K)]. a. If y0 = K/3, find the time at which the initial population has doubled. Find the value of corresponding to r = 0.025 per year. b. If y0/K = , find the time T at which y(T)/K = . where 0 < < 1. Observe that T as 0 or as 1. Find the value of T for r = 0.025 per year, = 0.1, and = 0.9.
Suppose that a certain population obeys the logistic equation dy/dx= ry[1-(y/k)]
a) So if y0= K/3, then
dy/dx= ry[1-(y/k)]
The above statement is equation 1.
Equation 2 is in the form of
dy/dx + P(t)y = yⁿQ(t)
which is a Bernoulli's differential equation with n=2. So 1- 2= -1
To solve it we put
Then dz/dx= -y⁻²(dy/dx)
This above statement is equation 3.
P(t)= -r, Q(t)= -(r/K)
and integrating factor is given by
IF= e ∫(1-n)P(t)dt= e ∫(-1)(-r)dt= ert
Then the solution is given by
z(IF)= ∫(1-n)Q(t)(IF)dt+C
If given y0= K/3, then
3/K= 1/K+C
Thus the solution to this part is
y⁻1ert= ert/K+2/K= 1/K(2+ert)
To find the time at which the initial population doubled that is 2K/3
Thus
2K/3= Kert/(2+ert)
For r=0.025, then r= 55.452
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