Finding the area of irregular shapes can be challenging, as they do not have a regular geometric formula to calculate their area. However, there are a few methods you can use depending on the shape and available information. Here are three common approaches:
Break it into simpler shapes: If the irregular shape can be divided into simpler geometric shapes (such as rectangles, triangles, circles, or trapezoids), you can calculate the area of each individual shape and then sum them up to find the total area. This method is called the “composite shape” or “dissection” method.Approximation using grids: If you have a grid or graph paper, you can overlay it on the irregular shape and count the number of squares that are fully or partially covered by the shape. Multiply the number of squares by the area of each square to estimate the area of the irregular shape. This method is known as the “grid method” or “counting squares.”Using calculus: If you have an equation or a graph of an irregular shape, you can use calculus techniques to find the area. By integrating the function that represents the shape's boundary or using numerical integration methods, you can determine the area under the curve. This method is more advanced and requires knowledge of calculus.It's important to note that these methods provide approximations and may not yield exact results, especially for highly complex irregular shapes. Additionally, there may be specialized techniques for specific types of irregular shapes. In some cases, using computer software or online tools designed for area calculations can also be helpful.
Remember to carefully assess the shape and available information to choose the most suitable method for finding the area of an irregular shape in your specific situation.
Which angle or angles are supplementary to ∠EOF?
Giving brainliest
A. ∠AOB and ∠DOE
B. ∠BOC and ∠EOF
C. ∠COD and ∠AOF
D. ∠FOB and ∠COE
The angles supplementary to ∠EOF are ∠FOB and ∠COE.
What is supplementary angles?Supplementary angles are those angles that sum up to 180 degrees. In
other words, two angles are called supplementary when their measures
add up to 180 degrees.
Therefore, let's find the angles that are supplementary angles to ∠EOF.
Therefore, let's use the angle relationships in the line intersection to find
the angles that are supplementary to ∠EOF.
Hence, the angles supplementary to ∠EOF are ∠FOB and ∠COE
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Original price: $82
Discount: 10%
Sale price: ?
Answer:
$81.18
Step-by-step explanation:
Sale Price = Original Price - (Original Price * Discount Percentage)
Given:
Original Price = $82
Discount Percentage = 10%
Let's calculate the sale price:
Sale Price = $82 - ($82 * 10%)
Sale Price = $82 - ($82 * 0.1)
To simplify the calculation, we can convert 10% to its decimal form by dividing by 100:
Sale Price = $82 - ($82 * 0.1)
Sale Price = $82 - ($82 * 0.01)
Sale Price = $82 - $0.82
Using a calculator, we can find the value:
Sale Price = $81.18
Therefore, the sale price after a 10% discount would be $81.18.
Answer: $73.80 is sale price
Step-by-step explanation:
Original: $82
10% of 82
=.1(82)
=8.2 >this is your discount
Subtract
82-8.2
$73.80 is sale price
4. A machine depreciates by 40% in the first year, by 25% in the second year and by 10% per annum for the next three years. Each percentage being calculated on the diminishing value, what is the average percentage of depreciation for the entire period?
Given the circle below with secants TUV and XWV. If UV = 26, WV = 27 and
TU is 3 more than XW, find the length of TU. Round to the nearest tenth if
necessary.
The length of segment TU for the intersecting chords is determined as 28.
What is the length of TU?The length of segment TU is calculated by applying intersecting chord theorem for two chords in a circle as shown below.
From the given diagram we will have the following equation;
UV (UV + TU) = WV (WV + XW)
We know that TU is 3 more than XW;
TU = XW + 3
So our new equation becomes;
26( ( 26 + XW + 3) = 27( 27 + XW)
26(29 + XW) = 27 (27 + XW)
Simplify further as follows;
754 + 26XW = 729 + 27XW
754 - 729 = XW
25 = XW
The length of segment TU is calculated as;
TU = 3 + 25
TU = 28
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The figure below shows part of a circle, with central angle as marked.
What part of the full circle does the figure represent? Express your
answer as a fraction in simplest terms.
108⁰
+
Answer:
fraction of circle = [tex]\frac{3}{10}[/tex]
Step-by-step explanation:
a complete circle has central angle of 360° , then
fraction of circle = [tex]\frac{108}{360}[/tex] ← divide numerator/ denominator by 36
fraction of circle = [tex]\frac{3}{10}[/tex] ← in simplest form
The demand for good X has been estimated by Qxd = 6 − 2Px + 5Py. Suppose that good X sells at $3 per unit and good Y sells for $2 per unit. Calculate the own price elasticity.
The own price elasticity of good X is -0.60, so we can conclude that good X is price inelastic.
What is the price elasticity?The own price elasticity of good X is calculated using the formula:
Elasticity = (% Change in Quantity Demanded) / (% Change in Price)Given the demand function for good X: Qxd = 6 - 2Px + 5Py, we can calculate the initial quantity demanded at a price of $3 per unit:
Qxd1 = 6 - 2(3) + 5(2)
= 6 - 6 + 10
= 10
The new quantity demanded when the price changes to $2.90 per unit:
[tex]Qxd_2[/tex] = 6 - 2(2.90) + 5(2)
[tex]Qxd_2[/tex] = 6 - 5.80 + 10
[tex]Qxd_2[/tex] = 10.20
Now, we can calculate the percentage change in quantity demanded:
% Change in Quantity Demanded = (Qxd2 - Qxd1) / Qxd1 * 100
% Change in Quantity Demanded = (10.20 - 10) / 10 * 100
% Change in Quantity Demanded = 0.20 / 10 * 100
% Change in Quantity Demanded = 2%
Next, we calculate the percentage change in price:
% Change in Price = (New Price - Old Price) / Old Price * 100
% Change in Price = (2.90 - 3) / 3 * 100
% Change in Price = -0.10 / 3 * 100
% Change in Price = -3.33%
The own price elasticity will be:
Elasticity = (% Change in Quantity Demanded) / (% Change in Price)
Elasticity = 2% / -3.33%
Elasticity ≈ -0.60
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Find the area bounded by the two functions f (x) = sin(2x) + 1 and g(x) = cos(x) − 2 on the
interval [0, 2π]. (do the 2 functions even intersect plesse help - the last person gave me the wrong answer)
Answer:
The area bounded by the two functions f(x) and g(x) on the interval [0, 2π] is 6π.
Step-by-step explanation:
The range of y = sin(2x) is [-1, 1].
As function f(x) = sin(2x) + 1 has been translated 1 unit up, the range of f(x) is [0, 2].
The range of y = cos(x) is [-1, 1].
As function g(x) = cos(x) - 2 has been translated 2 units down, the range of g(x) is [-3, -1].
As ranges of the functions do not overlap, the two functions do not intersect.
As the curve of f(x) is above the x-axis, and the curve of g(x) is below the x-axis, we can integrate to find the area between the curve and the x-axis for each function in the given interval, then add them together.
Note: As g(x) is below the x-axis, the evaluation of the integral will return a negative area. Therefore, we need to negate the integral so we have a positive area (since area cannot be negative).
Area between f(x) and the x-axis[tex]\begin{aligned}A_1=\displaystyle \int^{2\pi}_{0} (\sin(2x)+1)\; \text{d}x&=\left[-\dfrac{1}{2}\cos(2x)+x \right]^{2\pi}_{0}\\\\&=\left(-\dfrac{1}{2}\cos(2(2\pi))+2\pi\right)-\left(-\dfrac{1}{2}\cos(2(0))+0\right)\\\\&=\left(-\dfrac{1}{2}+2\pi\right)-\left(-\dfrac{1}{2}\right)\\\\&=2\pi\end{aligned}[/tex]
Area between g(x) and the x-axisAs the curve is below the x-axis, remember that we need to negate the integral to find the area.
[tex]\begin{aligned}A_2=-\displaystyle \int^{2\pi}_{0} (\cos(x)-2)\; \text{d}x&=-\left[\vphantom{\dfrac12}\sin(x)-2x \right]^{2\pi}_{0}\\\\&=-\left[(\sin(2\pi)-2(2\pi))-(\sin(0)-2(0))\right]\\\\&=-\left[(0-4\pi)-(0-0)\right]\\\\&=-\left[-4\pi\right]\\\\&=4\pi\end{aligned}[/tex]
Area bounded by the two functions[tex]\begin{aligned}A_1+A_2&=2\pi+4\pi\\&=6\pi\end{aligned}[/tex]
Therefore, the area bounded by the two functions f(x) and g(x) on the interval [0, 2π] is 6π.
A card is drawn from a standard deck of cards. What is the probability of drawing a 6 or a king?
Answer:
2/13
Step-by-step explanation:
To find the probability of drawing a 6 or a king from a standard deck of cards, we need to determine the number of favorable outcomes (cards that are either a 6 or a king) and the total number of possible outcomes (total number of cards in the deck).
There are 4 kings in a standard deck (one king in each suit: hearts, diamonds, clubs, and spades) and 4 6s (one 6 in each suit).
Total number of favorable outcomes = 4 (4 kings) + 4 (4 6s) = 8
Total number of possible outcomes = 52 (total number of cards in the deck)
Therefore, the probability of drawing a 6 or a king is:
Probability = Number of favorable outcomes / Total number of possible outcomes
= 8 / 52
= 2 / 13
So, the probability of drawing a 6 or a king from a standard deck of cards is 2/13.
Calculate the area of the composite figure please help me with the total area and shape part especially the solve for area please
a. Shape 1 = 24cm²
Shape 2 = 14.1cm²]
Total area = 38.1cm²
b. Shape 1 = 50ft²
Shape 2 = 24ft²
Total area = 74ft²
How to determine the valuesThe formula for calculating area of a triangle is;
A = 1/2bh
Substitute the values
A = 1/2 × 8 × 6
Multiply the values
A = 24cm²
Area of a semicircle =3. 14 × 3²/2 = 14.1cm²
Total area = 38.1cm²
2. Area of the trapezoid is;
A = a +b/2h
A = 20/2(5) = 50ft²
Area of the triangle;
A = 1/2 × 6 × 8
A = 24ft²
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i am going toget a detention if i dont do this please help me
En el negocio familiar los hermanos Jaziel Elisa y Sofía deben ayudar a atender así el acude cada cuatro días Elisa cada cinco días y Sofía que a las seis si los tres han coincidido el 4 de marzo después de cuantos días se volverán a coincidir
Based on the LCM, Jaziel, Elisa, and Sofía will coincide again after 60 days.
How to calculate the valueFrom the information, in the family business, the siblings Jaziel Elisa and Sofía must help take care of it, so he comes every four days, Elisa every five days and Sofía that at six o'clock.
In order to determine when Jaziel, Elisa, and Sofía will coincide again, we need to find the least common multiple (LCM) of their visit intervals.
The intervals for Jaziel, Elisa, and Sofía are 4 days, 5 days, and 6 days, respectively. We need to find the smallest number that is divisible by all three of these intervals.
The LCM of 4, 5, and 6 is 60. Therefore, Jaziel, Elisa, and Sofía will coincide again after 60 days.
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In the family business, the siblings Jaziel Elisa and Sofía must help take care of it, so he comes every four days, Elisa every five days and Sofía that at six o'clock if the three have coincided on March 4 after how many days will they coincide again
Point H is between G and I and GI = 50. Use the segment addition postulate to solve x.
GH = 4x - 6
HI = 2x + 2
Answer:
x = 9---------------------
The segment GI contains both GH and HI.
Using the segment addition postulate we set up an equation:
GI = GH + HISubstitute to get:
50 = 4x - 6 + 2x + 250 = 6x - 454 = 6xx = 54/6x = 9So the value of x is 9.
Question 9 of 10
Which is the standard equation for a circle centered at the origin with radius
12
O A. x²2² +²2² = r
OB.x2²=2² +2²
XA
O c. x+y=r
OD. x² +2²=2²
Which is the standard equation for a circle centered at the origin with radius r be,
⇒ x² + y² = r²
Hence option D is correct.
We have to find the standard equation of circle,
Given that,
Center of circle is at (0, 0)
And radius is r
Let a point (x, y) on the circle.
We know that,
The distance between the point (x, y) and origin is also known as radius of the circle,
Since we know that,
The distance between two points (x₁ , y₁) and (x₂, y₂) is,
⇒ d = √ (x₂ - x₁)² + (y₂ - y₁)²
Therefore distance between (0, 0) and (x, y),
⇒ √[ (x - 0)² + (y - 0)²] = r
Squaring both sides we get,
⇒ (x - 0)² + (y - 0)² = r²
⇒ x² + y² = r²
This is the standard equation of circle.
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Suppose we are minimizing the objective function value of a linear program. The feasible region is defined by 5 corner points. The objective function values at the five corner points are 4, 11, 7, 4, and 10. What type of solution do we have for this problem?.
The linear program shows that there are different attainable arrangements that accomplish the same ideal objective function value..
How to determine the solution to the objective function value of a linear programBased on the given data, since the objective function values at the five corner points are diverse, able to conclude that there's no one-of-a-kind ideal arrangement for this linear program.
The reality that there are numerous distinctive objective function values at the corner points suggests that there are numerous ideal arrangements or that the objective work isn't maximized or minimized at any of the corner points.
In this case, the linear program may have numerous ideal arrangements, showing that there are different attainable arrangements that accomplish the same ideal objective function value.
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Solve This Mathematical Term
The reason of discontinuity of the given function is described below.
Since we know that,
A continuous function, as the name implies, is one whose graph is continuous with no breaks or jumps. In other words, if we can draw the curve (graph) of a function without ever raising a pencil, we may claim that the function is continuous. The study of a function's continuity is critical in calculus because a function cannot be differentiable unless it is continuous.
A function is considered continuous if its graph is an uninterrupted curve with no holes, gaps, or breaks.
Now by mathematical definition of continuity
Left hand limit of a function at any point = right hand limit of function at that point = value of function at that point
Now from the graph we can see that,
At point point 3
The left hand limit and right hand limit are not equal and also the curve is discontinuous.
Hence, the given function is discontinuous function.
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find the theoretical probability.
[tex]|\Omega|=8\\|\text{odd}|=4\\\\P(\text{odd})=\dfrac{4}{8}=\dfrac{1}{2}[/tex]
Answer:
4/8
or, 1/2
Step-by-step explanation:
odd numbers (O) = (1,3,5,7) = 4
total numbers (T) = 8
P(odd) = n(O)/n(T)
= 4/8
help me please
it’s past due
The measure of the ∠d is 65 degrees.
The measure of the ∠c is 89 degrees.
The measure of the arc a is 131 degrees.
The measure of arc b is 47 degrees.
How to determine the valuesThe value of each variable. For the circle, the dot represents the center.
1. The measure of ∠d is;
∠d+ 115°= 180°
∠d= 180°-115°= 65°
The measure of the ∠d is 65 degrees.
2. The measure of ∠c is,
∠c+ 91°= 180°
∠c =180°-91° =89°
The measure of the ∠c is 89 degrees.
3. The measure of arc a is,
The inscribed angle measures half that of the arc comprising;
arc a = 230 - 90
arc a = 131 degrees
4. The measure of arc b is,
The inscribed angle measures half that of the arc comprising;
arc b = 178 - 131
arc b = 47 degrees
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What is the meaning of "[tex] dom(R)=\left \{ u:\exists v(u,v)\in R\right \} [/tex]"?
It means that the domain of the relation [tex]R[/tex] is the set of such elements [tex]u[/tex] for which there exists such an element [tex]v[/tex] that [tex]u[/tex] and [tex]v[/tex] are related.
Which is an exponential function with a y-intercept of (0, 4)?
Help please
Answer:
D) y = 2ˣ + 3-----------------
The y-intercept of (0, 4) means the function has a value of 4 when x = 0.
Verify it with given functions:
A) y = 3x + 1
x = 0 ⇒ y = 3*0 + 1 = 1 ≠ 4, NoB) y = 4ˣ
x = 0 ⇒ y = 4⁰ = 1 ≠ 4, NoC) y = 1ˣ
x = 0 ⇒ y = 1⁰ = 1 ≠ 4, NoD) y = 2ˣ + 3
x = 0 ⇒ y = 2⁰ + 3 = 1 + 3 = 4, YesName the highlighted arc.
S
E
D
0
P
Answer:
View explanation
Step-by-step explanation:
The highlighted arc from D to O
Myron records the number of chirps per minute (x) that crickets make at different temperatures (y) in degrees Fahrenheit.
He determines that the association is linear and that the line of best fit is
y = =+50.
What is the interpretation of the slope and y-intercept of this equation?
A. The slope predicts a temperature increase of about 50° for every
increase of 1 chirp per minute. The y-intercept shows that when
the crickets are not chirping (x=0), the temperature is 0.
B. The slope predicts a temperature increase of about 6° for every
increase of 50 chirps per minute. The y-intercept shows that when
the crickets are not chirping (x=0), the temperature is
OC. The slope predicts a temperature increase of about for every
increase of 1 chirp per minute. The y-intercept shows that when
the crickets are not chirping (x=0), the temperature is 50°.
OD. The chirping increases as the temperature goes down.
The correct interpretation of the slope and y-intercept of the equation y = mx + b in this context is:
A. The slope predicts a temperature increase of about 50° for every increase of 1 chirp per minute. The y-intercept shows that when the crickets are not chirping (x=0), the temperature is 0.
In other words, according to the given equation, for each additional chirp per minute, the temperature is expected to increase by approximately 50 degrees Fahrenheit. Additionally, when there are no chirps (x=0), the equation suggests that the temperature is 0 degrees Fahrenheit.
~~~Harsha~~~
Answer:
C
Step-by-step explanation:
I am pretty certain the math is incorrect on the other posted answer
The slope is rise/run means every degree produces 6 chirps more ....or conversely , 1/6 degree produces one more chirp.
when the temperature is 50 F there are ZERO chirps
help i have no clue what this is
The value of angle x is determined as 40 degrees.
The value of angle y is determined as 180 degrees.
What is the value of the missing angles?
The value of the missing angles is calculated by applying intersecting chord theorem which states that the angle at tangent is half of the arc angle of the two intersecting chords.
The value of angle x is calculated as follows;
50 = ¹/₂ (140 - x ) (exterior angle of intersecting secants)
2(50) = 140 - x
100 = 140 - x
x = 140 - 100
x = 40
The value of angle y is calculated as follows;
The value of angle y is equal to the value of the remaining arc.
y = 360 - (40 + 140 ) ( sum of angles in a circle)
Simplify further as follows;
y = 360 - 180
y = 180⁰
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Which statements about the graph of y = tan x are true?
The statement about the graph of y = tan x that is true is A The period is 2pi.
How to explain the informationIn the graph of y = tan x, the function has vertical asymptotes at x = (2n + 1)π/2, where n is an integer. At these points, the value of cos x becomes zero, causing the tangent function to approach positive or negative infinity.
The period of a function is the smallest positive number such that the graph of the function repeats itself after being shifted that number of units to the right or left. In the case of y=tanx, the graph repeats itself after being shifted π units to the right.
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Which statement about the graph of y = tan x is true?
A The period is 2pi.
B The function has horizontal asymptotes whenever cos x = 0.
C The function has zeros whenever csc x = 0.
D The function is increasing everywhere in its domain
3.3 Determine the rule that describes the relationship between x and y values below and then use the rule to calculate the values of n and m. Show all your calculations. X y 1 3 2 5 7 4 9 (T) 5 11 11 m n 33
The values of m and n are 15 and 19, respectively in the given data.
From the given values:
x: 1, 2, 7, 4, 9
y: 3, 5, 11, m, n
Looking at the x-values, we can observe that they are increasing by 1 each time.
Looking at the y-values, we can observe that they are increasing by 2 each time except for the last two values (m and n) which are unknown.
Based on this pattern, we can establish the following equation:
y = 2x + 1
Now, let's calculate the values of m and n using this equation:
For x = 7:
y = 2(7) + 1
y = 14 + 1
y = 15
Therefore, m = 15.
For x = 9:
y = 2(9) + 1
y = 18 + 1
y = 19
Therefore, n = 19.
Hence, the values of m and n are 15 and 19, respectively.
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QUESTION 1
A credit card has a balance of $1,400. The APR is 25% and the minimum payment is 3% of the balance. You will pay the minimum balance this month. If you do not use the card again then how much
should the balance be next month?
QUESTION 2
A credit card with an APR of 18% has a balance of $2500 on it. You make a $1400 payment that posts on the 11th day of a 31-day month. How much interest will you be charged for the month?
QUESTION 3
Suppose we have a card with an APR of 25%. The minimum payment is 7% of the balance Suppose we have a balance of $350 on the credit card. We decide to stop charging and to pay it off by making
the minimum payment each month.
Calculate the new balance after the first minimum payment is made.
Calculate the minimum payment that is due the next month.
QUESTION 4
Your credit card has a balance of $2500 and an interest rate of 21%. The credit card requires a minimum payment of 3%
Lennors
Answer:
Q1: $1,360, Q2: $30.83, Q3: $325.50, Q4: $75
Step-by-step explanation:
QUESTION 1:
If the minimum payment is made and no additional charges are made, the balance next month should be $1,400 minus 3% of $1,400, which is $1,360.
QUESTION 2:
To calculate the interest charged for the month, we need to determine the average daily balance. Assuming no other transactions, the average daily balance would be (($2,500 * 20) + ($1,100 * 10)) / 31 = $2,032.26. Multiply this by the APR of 18% and divide by 365 to get the daily interest rate. The interest charged for the month would be approximately ($2,032.26 * 0.18) / 365 * 31 = $30.83.
QUESTION 3:
After making the first minimum pyment, the new balance would be $350 minus 7% of $350, which is $325.50.
To calculate the minimum payment due the next month, we take 7% of the new balance, which is 7% of $325.50, equal to $22.79 (rounded to the nearest cent).
QUESTION 4:
The minimum payment required on a balance of $2,500 would be 3% of $2,500, which is $75.
Directions: Below are hypotheses stated in different ways. Answer the following questions about each item.
a) In what form is the hypothesis stated?
b) Does it use a directional or non-directional test?
c) What level of measurement is each of the variables?
d) Convert the non-directional into directional.
1. The performance of the Staff Nurses is affected by their level of anxiety.
A. The hypothesis is stated in a correlational form.
B. It does not specify whether it uses a directional or non-directional test.
C. The level of measurement for these variables is not specified.
D. The higher the level of anxiety among Staff Nurses, the lower their performance.
What are the responses to other questions?a. The hypothesis "The performance of the Staff Nurses is affected by their level of anxiety." is stated in a correlational form.
b) The given hypothesis does not specify whether it uses a directional or non-directional test.
c) The variables in this hypothesis are "performance of the Staff Nurses" and "level of anxiety." The level of measurement for these variables is not specified.
d) To convert the non-directional hypothesis into a directional one, we would need to specify the direction of the relationship between the variables. For example: "The higher the level of anxiety among Staff Nurses, the lower their performance."
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Two of the sides of a right triangle are 4 and 5. What is the length of the third side? Find all possible answers.
To find the length of the third side of a right triangle when two sides are given, we can use the Pythagorean theorem. The theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
Let's assume the two given sides are 'a' and 'b', and the unknown third side is 'c' (the hypotenuse).
Using the Pythagorean theorem:
c² = a² + b²
Substituting the given values:
c² = 4² + 5²
c² = 16 + 25
c² = 41
To find the length of 'c', we need to take the square root of both sides:
c = √41
So, the length of the third side is √41 (approximately 6.40) when rounded to two decimal places.
Therefore, the possible length of the third side of the right triangle is √41.
Step-by-step explanation:
We will use a phayragoras theorem
a^2 +b^2= c^2
let side1=4 be a
let side2=5 be b
let the 3rd side be the hypotnuous=c
therfore 4^2+5^2=c^2
=16+25=c^2
=41=c^2.
therfore c=√41
A box with square base and a height of 8cm has a volume of 1352cm. Find the length of a side of the base
Answer:
The length of a side of the base of the box is 13 cm.
Step-by-step explanation:
To find the length of a side of the base of the box, we need to use the formula for the volume of a box.
The volume of a box is given by the formula:
V = l^2 * h
Where:
V is the volume,
l is the length of a side of the base, and
h is the height of the box.
Substituting the given values:
V = 1352 cm^3
h = 8 cm
1352 = l^2 * 8
Dividing both sides by 8:
l^2 = 169
Taking the square root of both sides:
l = √169
Calculating the length of a side of the base:
l = 13 cm
Therefore, the length of a side of the base of the box is 13 cm.
challenging was 0.92, with a margin of error of 0.07.
Construct a confidence interval for the proportion of math majors that stated the curriculum was challenging.
The confidence interval using a margin of error of 0.07 is (0.85,0.99)
Confidence IntervalSample proportion = 0.92
Margin of error = 0.07
Lower bound of the confidence interval = Sample proportion - Margin of error
Lower bound = 0.92 - 0.07 = 0.85
Upper bound of the confidence interval = Sample proportion + Margin of error
Upper bound = 0.92 + 0.07 = 0.99
Confidence interval = [Lower bound, Upper bound]
Confidence interval = [0.85, 0.99]
Therefore, the confidence interval for the proportion of math majors who found the curriculum challenging is approximately 0.85 to 0.99.
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Use the following information to determine tan(2x). tan(x) = -2÷square root of 2 and sin(x) is negative
Answer:
tan(2x) = 2√2
Step-by-step explanation:
You want tan(2x) when tan(x) is -2/√2 and x is a 4th-quadrant angle.
Double angleThe tangent double-angle identity is ...
tan(2x) = 2tan(x)/(1 -tan(x)²)
For tan(x) = -2/√2, this gives ...
tan(2x) = 2(-2/√2)/(1 -(-2/√2)²) = -2√2/(1 -2)
tan(2x) = 2√2
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