x/10=−1

help ive got no idea it would be helpful if you could explain how as well please

Answers

Answer 1
okay the Answer is -10! its this because you would have to multiply both sides by 10 since its on the denominator! that leaves you with 10 time -1 which is -10!
Answer 2

Answer:

x = -10.

Step-by-step explanation:

x / 10 = -1

To solve the equation we isolate the x on one side.

Whatever operation we do one one side of the equation we have to do the same on the other side so that the balance is maintained.

Here to isolate x we multiply both sides by 10:

x

--    * 10   =  -1 * 10

10

x = -10.

Hope this helps.


Related Questions

A quadrilateral labeled T'B'N'E' indicates a pre-image.

True
False

Answers

Answer:

False

Step-by-step explanation:

The image is after pre-image

False i am not for sure on this answer but i think it is false

The line plot shows the number of runners on a track team who won at least one gold medal.

A line plot titled Gold Medals earned by the track team. 3 had 1 medal, 1 had 2 medals, 4 had 3 medals, 0 had 4 medals, 2 had 5 medals.

Use the plot to answer the questions.

How many runners won exactly 2 gold medals?


How many gold medals did the most runners win?


How many total runners are represented?


Answers

Answer:

1,3,10

Step-by-step explanation:

I got it wright on the test.

Answer:

1

3

10

Step-by-step explanation:

edu 2020

A(n)=-6+3(n-1). Find the 16th term in the sequence

Answers

Answer:

16th term = 39.

Step-by-step explanation:

Plug 16 into the formula -6 + 3(n - 1):

A(16) = -6 + 3(16-1)

= - 6 + 3*15

= -6 + 45

= 39.

Answer:

Step-by-step explanation:

is this correct if not which one is 50 pts and brainliest for first answe

Answers

Answer:

B: 50% chance

Step-by-step explanation:

50/50 chance of happening is an equal chance

Answer:

no its B

Step-by-step explanation:

Because you have a 50 50 % chance

in playing Monopoly rolling doubles three times in a row since you to jail what is the probability of rolling three consecutive doubles

Answers

Answer:

I'd say 2/3

Step-by-step explanation:

I play a lot of Monopoly

Answer:

1 in 216

Step-by-step explanation:

the chance of rolling doubles once is 1/6 if you go through all possible outcomes, and six to the power of 3 (the amount of consecutive doubles desired) is 216

Your friend passes you the ball during a soccer game. The Initial velocity of the ball was 12 feet per second, with a height off the ground modeled by the equation h=-4t^2+12t

A. how long after the kick did the ball hit the ground
B. how high did the soccer ball get
C. When did the soccer ball hit it's highest point

Answers

Final answer:

The ball hits the ground at t=0 or t=3 seconds. The maximum height of the ball is 9 feet. The ball reaches its highest point at t=1.5 seconds.

Explanation:

To find out how long after the kick the ball hits the ground, we need to solve the equation h=-4t^2+12t  for t when h=0. We can set the equation to zero and solve for t by factoring or using the quadratic formula. In this case, you can factor out a t from the equation and solve for t to find that t=0 or t=3.

To find out how high the soccer ball gets, we need to find the maximum height of the ball. The maximum height occurs at the vertex of the parabolic equation. The formula for finding the x-coordinate of the vertex is x = -b/2a. In this case, a = -4 and b = 12, so the x-coordinate of the vertex is x = -12/(2*-4) = 1.5. Substituting this value into the equation, we can find the maximum height by solving for h, which is h = -4*(1.5)^2 + 12*(1.5) = 9 feet.

The soccer ball hits its highest point at the x-coordinate of the vertex. In this case, the highest point occurs at t = 1.5 seconds.

Learn more about Projectile Motion here:

https://brainly.com/question/29545516

#SPJ12

What is the length of a diagonal of a cube with a side length of 3 cm?

Answers

Answer:

27

Step-by-step explanation:

StartRoot 27 EndRoot cm

Brianna and Ava go to the movie theater and purchase refreshments for their friends Brianna Spenzo total of $39 and two bags of popcorn and two drinks ever spent a total of $174.50 on a bag of popcorn and 10 drinks write a system of equations that can be used to find the price of one bag of popcorn in the price of one drink using these equations determine and state the price of a drink to the nearest center Brianna and Ava go to the movie theater and purchase refreshments for their friends Brianna Spenzo total of $39 and two bags of popcorn and two drinks ever spent a total of $174.50 on a bag of popcorn and 10 drinks write a system of equations that can be used to find the price of one bag of popcorn in the price of one drink using these equations determine and state the price of a drink to the nearest cent

Answers

Answer:

3 m + 4  n = $24.25

9 m +   n = $37.00  are the required set of equations.

The cost of 1 cold drink  = $3.75

The cost of 1 pop corn bag  = $3.25

Step-by-step explanation:

Let us assume the cost of 1 drink = $ m

And the cost of 1 bag of popcorn = $ n

Now, Brianna buys 3 drinks + 4 bag popcorn  for  $24.25

⇒ Cost of 3 drinks +  4 bag popcorn =  $ 24.25

or, 3 ( Cost of 1 drink) + 4 ( Cost of i bag popcorn)  = $ 24.25

⇒ 3 m + 4  n = $24.25  ...  (1)

Also, Chloe buys 9 drinks + 1 bag popcorn  for  $37.00

⇒ Cost of 9 drinks +  1 bag popcorn =  $37.00

or, 9 ( Cost of 1 drink) + 1 ( Cost of 1 bag popcorn)  = $37.00

⇒ 9 m +   n = $37.00 ...  (2)

Now, solving equation (1) and (2) ,we get:

3 m + 4  n = $24.25

9 m +   n = $37.00   ⇒ n  = 37 -  9 m

Substitute the value of n in the equation (1),we get:

3 m + 4  n = $24.25  ⇒ 3  m + 4 ( 37 - 9 m ) = 24.25

or, 3 m + 148 - 36 m = 24.25

or, -33 m = -123.75

or, m = 123.75/33 =  3.75, or m = 3.75

Now, n = 37 - 9 m = 37  - 9(3.75)  =  3.25, or n = 3.25

Hence the cost of 1 cold drink =  m = $3.75

And the cost of 1 pop corn bag  =  n  = $3.25

Read more on Brainly.com - https://brainly.com/question/14072592#readmore

Step-by-step explanation:

Solve the equation by factoring. (enter your answers as a comma-separated list. let k be any integer. round terms to three decimal places where appropriate. if there is no solution, enter no solution.) csc(θ) cot(θ) − sin(θ) tan(θ) = cos(θ)

Answers

Final answer:

To solve the equation by factoring, we factor out common terms from both sides of the equation and set each factor equal to zero. We consider the factors separately and solve for θ to find the solutions.

Explanation:

To solve the given equation, we need to factorize the trigonometric terms. Let's start by factoring out the common factor of sin(θ) cot(θ) from the left side of the equation:

csc(θ) cot(θ) − sin(θ) tan(θ) = cos(θ)

sin(θ) cot(θ)(csc(θ) − tan(θ)) = cos(θ)

Now we have a product of two factors equal to zero, so we can set each factor equal to zero and solve for θ:

sin(θ) cot(θ) = 0

csc(θ) − tan(θ) = cos(θ)

To find the solutions for sin(θ) cot(θ) = 0, we can consider the factors separately:

sin(θ) = 0 or cot(θ) = 0

For sin(θ) = 0, the solutions are θ = kπ, where k is an integer.

For cot(θ) = 0, we can rewrite it as cos(θ)/sin(θ) = 0, which means cos(θ) = 0 and sin(θ) ≠ 0. The solutions for cos(θ) = 0 are θ = (2k + 1)π/2, where k is an integer.

Now let's solve csc(θ) − tan(θ) = cos(θ):

csc(θ) − (sin(θ)/cos(θ)) = cos(θ)

(1/sin(θ)) − (sin(θ)/cos(θ)) = cos(θ)

Using a common denominator, we can combine the fractions:

(cos(θ) − sin(θ))/sin(θ) = cos(θ)

Now we have a fraction equal to a constant. This can only be true if the numerator is zero:

cos(θ) − sin(θ) = 0

Using the identity cos(θ) − sin(θ) = −√2 sin(θ + π/4), we can rewrite the equation as:

−√2 sin(θ + π/4) = 0

Solving for sin(θ + π/4) = 0, we get θ + π/4 = kπ, where k is an integer.

Therefore, the solutions to the equation csc(θ) cot(θ) − sin(θ) tan(θ) = cos(θ) are:

θ = kπ (for sin(θ) cot(θ) = 0)

θ = (2k + 1)π/2 (for csc(θ) − tan(θ) = cos(θ))

Mark was folding shirts and putting them into piles. He put 2 shirts in each pile. If there are 7 piles of shirts, how many shirts did Mark fold in all? A. 9 B. 21 C. 14 D. 16

Answers

Answer:

C. 14

Step-by-step explanation:

2 shirts in each pile x 7 piles of shirts = 14 shirts in total

2 x 7 = 14

Final answer:

To determine how many shirts Mark folded, multiply the number of shirts per pile (2) by the number of piles (7), which equals 14 shirts.

Explanation:

The question asks us to calculate the total number of shirts Mark folded if he put 2 shirts in each pile and there are 7 piles of shirts.

To find the total number of shirts, we need to multiply the number of shirts per pile by the number of piles. So, the calculation is as follows:

Determine the number of shirts per pile: 2 shirts.

Determine the total number of piles: 7 piles.

Multiply the number of shirts per pile by the number of piles: 2 shirts x7 piles = 14 shirts.

Therefore, Mark folded a total of 14 shirts.

Help me pls I don’t know how to do this I’ll give brainliest pls help

Answers

Answer:

3/2

Step-by-step explanation:

First, you find the mean (((4 + 5 + 6 + 1)/4) = 4)

Find the absolute difference between each data value and the mean: 0, 1, 2, 3

Add the differences (in the previous step) and divide by number of terms: (0+1+2+3)/4 = 6/4 = 3/2

Please help!
Simplify 2([tex]\sqrt{5x^{3} } )^{2} +16[/tex]
show all work please!

Answers

Answer:

10x^3+16

Step-by-step explanation:

For an outdoor concert by the city​ orchestra, concert organizers estimate that 19 comma 000 people will attend if it is not raining. If it is​ raining, concert organizers estimate that 4000 people will attend. On the day of the​ concert, meteorologists predict a 90​% chance of rain. Determine the expected number of people who will attend this concert.

Answers

Answer:The expected number of people who will attend this concert = 2260

Step-by-step explanation:

The concert organizers estimate people will attend if it is not raining = 19000

If its raining people will attend = 4000

On the day of the​ concert, meteorologists predict a 90​% chance of rain.

This means 10 % chance of not raining

The expected number of people = 90% (4000) + 10% (19000)

   = 360 + 1900

  = 2260

The expected number of people who will attend this concert = 2260

Bryce has 220 feet of fencing that will enclose a rectangular corral. One side of the corral will be 48 feet long. What will be the area of the corral?

Answers

Answer:

The area of the corral is 2976 ft²

Step-by-step explanation:

Here, we have the perimeter of the rectangle given as 220 ft

Therefore, since in a rectangle, we have 2 sides of the four sides equal, that is;

Perimeter = 2×One side + 2×Other side

or Perimeter = 2×X + 2×Y

Here perimeter = 220 ft = 2×X + 2×Y

As one of the sides is 48 ft, we have;

220 ft = 2 × 48 + 2×Y

Therefore, 2×Y = 220 ft - 2×48 ft = 124 ft

∴ Y = 124 ft ÷ 2 = 62 ft

The area of the corral = Area of rectangle = Length × Width = 62 ft × 48 ft

Area of the corral = 2976 ft².

The base of the pyramid is a square. What is its surface area if the pyramid’s height is 4 feet and the area of the base is 36 ft2? Show your work.

Answers

Answer:

48

Step-by-step explanation:

Steve sold 36 fruit baskets for a school fundraiser. Evie sold 25% of the number of baskets that Steve sold. How many fruit baskets did Evie sell? Enter the number in the box.

Answers

Answer:

9 fruit baskets.

Step-by-step explanation:

Given:

Steve sold 36 fruit baskets for a school fundraiser.

Evie sold 25% of the number of baskets that Steve sold.

Question asked:

How many fruit baskets did Evie sell?

Solution:

As given that Evie sold 25% of the number of baskets that Steve sold.

Number of baskets sold by Evie = 25% of 36

                                                      [tex]=\frac{25}{100}\times36\\\\ =\frac{900}{100}\\ \\=9[/tex]

Thus, 9 fruit baskets sold by Evie.

Gabe rolled 14 strikes out of 70 attempts. What percent of Gabe's attempts were strikes?

Answers

Answer:

20%

Step-by-step explanation:

14/70x100=20%

These 2 answers highlighted tell me i'm 75% correct. What is the other answer(s)

Answers

Answer:

add the third choice, "the average rate of change for the function is 1"

Step-by-step explanation:

In March, April, and June it rained 2 inches. In February, May, and September it rained 1 inch. In August and October, it rained 3 inches. And in January it only rained 4 inches. Which line plot represents the data?

Answers

Answer:

D

Step-by-step explanation:  

Hope this Helps :D

Answer:

D

Step-by-step explanation:

The population of a particular country was 23 million in 1982; in 1995, it was 33 million. Theexponential growth function A =23ekt describes the population of this country t years after 1982.Use the fact that 13 years after 1982 the population increased by 10 million to find k to threedecimal places.

Answers

Answer:

The value of k is 0.448.

Step-by-step explanation:

Given the exponential growth function is

[tex]A=23e^{kt}[/tex]

A= The population of the country

k= growth rate.

The population of the country increased by 10 million in 13 years after 1982.

Then the population is =(23+13)million = 36 million.

Here,

A= 36 million, t= 13

[tex]A=23e^{kt}[/tex]

[tex]\Rightarrow 36=23e^{13k}[/tex]

[tex]\Rightarrow e^{13k}=\frac{36}{23}[/tex]

Taking ln function both sides

[tex]\Rightarrow ln|e^{13k}|=ln|\frac{36}{23}|[/tex]

[tex]\Rightarrow {13k}=ln|\frac{36}{23}|[/tex]

[tex]\Rightarrow {k}=\frac{ln|\frac{36}{23}|}{13}[/tex]

[tex]\Rightarrow k=0.448[/tex]

The value of k is 0.448.

The back of Jake's property is a creek. Jake would like to enclose a rectangular area, using the creek as one side and fencing for the other three sides, to create a corral. If there is 10001000 feet of fencing available, what is the maximum possible area of the corral?

Answers

Answer:

125000 square feet

Step-by-step explanation:

Since there are only three sides of the rectangle, the perimeter of the fence is:

Let x and y be the sides of the rectangle, we are left with:

2 * x + y = 1000

solving for and:

y = 1000 - 2 * x

The area of the corral is:

A = x * y

replacing

A = x * (1000 - 2*x)

A = 1000 * x - 2*x^2

to find the maximum for the parabolic function A = 1000 * x - 2*x^2

The function has a maximum since the quotient before x ^ 2 is negative: -2 <0

Amax = c - b^2 /4*a

where a = -2, b = 1000, c = 0

A max = 0 - 1000^2/(4 * (- 2))

A max = 125000 ft^2

The maximum possible area of the pen is 125000 square feet.

Final answer:

125,000 square feet,

Explanation:

Let us denote the length of the rectangular area parallel to the creek as L and the width of the area as W. Given that the total amount of fencing available is 1000 feet, we can express the perimeter that Jake can fence as 2W + L = 1000 feet, since the creek forms one of the longer sides of the rectangle, and no fencing is required there.

The area A of the rectangle is given by the product of its length and width, i.e., A = L × W. Our goal is to maximize A. From the perimeter equation 2W + L = 1000, we can express L as L = 1000 - 2W.

Substituting this into the area formula, we get A = W * (1000 - 2W). This is a quadratic function and can be written as

A = -2W^2 + 1000W, which is a parabola opening downwards. The maximum value of this function can be found by completing the square or by using the vertex form of a parabola.

The vertex of the parabola, which gives the maximum area, occurs at W = -b/(2a), with 'a' being the coefficient of

W^2 (-2 in this case) and 'b' the coefficient of W (1000 in this case). Plugging these values in, we find that

W = -1000 / (2 * -2) = 250.

Therefore, the width that gives the maximum area is 250 feet. Substituting W back into the perimeter formula, we get

L = 1000 - 2*250 = 500 feet.

So, the dimensions for the maximum area are 500 feet by 250 feet, and the maximum area is A = 500 * 250 = 125,000 square feet.

Swati recorded this data set, which contains an outlier.

163, 97, 184, 199, 169, 175

What numbers represent the lower and upper quartiles?

Answers

Answer:

lower quartile: 163  upper quartile: 184

Step-by-step explanation:

1. put the numbers in order from least to greatest. 97, 163, 169, 175, 184, 199

2. find the median. 172

3. find the median of the first 3 numbers to get your Q1. 163

4. find the median of the last 3 numbers to get your Q3. 184

Pls help I will give u brainliest

Answers

Answer:

your expression is (10x+15)+11x

Step-by-step explanation:

let the missing number be X

(10x+15)+11x

The x is your missing number.

An equation of a circle is given as (x + 6)^2 + (y − 7)^2 = 81. Find the center and radius of the circle.

Answers

Answer:

(-6, 7), r=9

Step-by-step explanation:

The opposite of the number next to the x is -6, the opposite of the number next to the y is 7.  The square root of the number on the right (81) is 9, so 9 is the radius.





1. Which is the best method for solving the quadratic equation? Solve the quadratic equation using the method chosen. Leave all answers in simplest radical form.

Choose each method once.

• Take the square root of each side.

• Factor and use the zero product property.

• Complete the square.

• Use the quadratic formula.

A. x2 = –16x

B. y2 + 6y – 2 = 0

C. 2a2 = 72

D. p2 + 4p = 8


ANSWER:

























2. Consider the quadratic function y = –2x2 + 3x + 4.

A. Does the parabola open upward or downward? Explain.

B. Does the vertex lie on, below, or above the x-axis? Explain.


ANSWER:



















Answers

Answer:

1. A. Factor and use the zero-product property; x = 0, -16

   B. Use the quadratic formula; y=-3-√11, -3+√11

   C. Take the square root of each side; x = -6, 6

   D. Complete the square; p= -2(√3 + 1). 2(√3 - 1)

2. A. Downward; coefficient of x² is negative

    B. Above; k is positive

Step-by-step explanation:

1. A. x² = –16x

Factor and use the zero-product property

[tex]\begin{array}{rcl}x^{2} & = & -16x\\x^{2} + 16x & = & 0\\x(x + 16) & = &0\\x = \mathbf{0} & & x+ 16 = 0\\& & x = \mathbf{-16}\\\end{array}[/tex]

B. y² + 6y – 2 = 0

Use the quadratic formula

a = 1; b = 6; y = -2

[tex]\begin{array}{rcl}y & = & \dfrac{-b\pm\sqrt{b^2-4ac}}{2a} \\\\ & = & \dfrac{-6\pm\sqrt{6^2-4\times1\times(-2)}}{2\times1} \\\\ & = & \dfrac{-6\pm\sqrt{36+8}}{2} \\\\ & = & \dfrac{-6\pm\sqrt{44}}{2} \\\\ & = & \dfrac{-6\pm2\sqrt{11}}{2} \\\\ & = & -3\pm\sqrt{11}\\y=\mathbf{-3-\sqrt{11}} & &y= \mathbf{-3+\sqrt{11}}\\\end{array}[/tex]

C. 2a² = 72

Take the square root of each side.

[tex]\begin{array}{rcl}2a^{2} & = & 72\\a^{2} & = & 36\\a & = & \pm 6\\a= \mathbf{-6} & & a = \mathbf{6}\\\end{array}[/tex]

D. p² + 4p = 8

Complete the square.

[tex]\begin{array}{rcl}p^{2} + 4p & = & 8\\p^{2} + 4p + 4 & = & 12\\(p + 2)^{2}& = & 12\\p + 2& = & \pm \sqrt{12}\\& = & \pm 2\sqrt{3}\\p + 2 = -2\sqrt{3} & & p +2=-2\sqrt{3}\\p = -2 - 2\sqrt{3} & & p = -2 +2\sqrt{3}\\p= \mathbf{-2(\sqrt{3}+1)} & & p= \mathbf{2(\sqrt{3}-1)}\\\end{array}[/tex]

2. y = –2x² + 3x + 4

a = -2; b = 3; c = 4

A. Direction of opening

The parabola opens downward because the coefficient of x² is negative.

B. Vertex

The vertex form of a parabola is

y = a(x - h)² + k

where (h, k) are coordinates of the vertex.

The vertex will be above. on, or below the x-axis if k is positive, zero, or negative.

[tex]\begin{array}{rcl}k& = & \dfrac{4ac-b^{2}}{2a}\\\\& = & \dfrac{4\times(-2) \times 4 - 3^{2}}{2\times4}\\\\& = & \dfrac{-32 - 9}{-8}\\\\& = & \dfrac{-41}{-8}\\\\& > &\mathbf{0}\\\end{array}[/tex]

The vertex is above the x-axis because k is positive.  

The graph below shows that your parabola opens downward and the vertex is above the x-axis.

What is the quotient (3x3 − x2 − x − 1) ÷ (x − 1)?

A. 3x2 − 2x + 1
B. 3x2 − 4x + 1
C. 3x2 + 2x + 1
D. 3x2 + 4x + 1

Answers

Answer:

I believe the correct answer is C, sorry for the late answer/response, but I believe this is the right answer. Have a nice day

Step-by-step explanation:

:)

Final answer:

The quotient of the polynomial division (3x³ - x² - x - 1) ÷ (x - 1) is 3x² + 2x + 1 using synthetic division.

Explanation:

To find the quotient of (3x³ - x² - x - 1) ÷ (x -1), we can use polynomial long division or synthetic division. In this case, the coefficient in front of x in the divisor (x - 1) is 1, so we can use synthetic division directly.

Set up the synthetic division by writing the coefficients of the dividend, which are 3, -1, -1, and -1, and the zero of the divisor, which in this case is +1. Carry out the synthetic division process to get the quotient.

The result of the synthetic division gives us the coefficients of the quotient, which are the coefficients for the powers of x in the quotient polynomial, starting from one degree less than the original polynomial because we are dividing by a first-degree polynomial.

The remainder, if there is one, would be the constant at the end or the remainder over the divisor.

The quotient of the polynomial division is (3x² + 2x + 1) with no remainder.

Marco is purchasing a present for his mom he found a wash that is normally $115 for 35% off he also has a 15% off coupon how much will the watch cost before tax

Answers

Answer:

$63.54

Step-by-step explanation:

If something is 35% off you pay 65% of the price

115*.65= 74.75

same thing again but with 15% and multiplying by .85

74.75*.85=63.54

what is 15 divided by 540​

Answers

Answer:

36 is the answer........

Answer:

36

Step-by-step explanation:

You can use the bus stop method on this

540 how many 15 goes in it =36

The normal monthly precipitation (in inches) for August is listed for 20 different U.S. cities. Find the mean of the data. 3.5 1.6 2.4 3.7 4.1 3.9 1.0 3.6 4.2 3.4 3.7 2.2 1.5 4.2 3.4 2.7 0.4 3.7 2.0 3.6 Group of answer choices 2.94 in. 2.80 in. 3.09 in. 3.27 in.

Answers

Final answer:

The mean of the normal monthly precipitation for August in these 20 U.S. cities is obtained by adding all precipitation values and dividing by the total number of values, which gives a mean of 3.09 inches.

Explanation:

To find the mean of the data, we sum all the values and then divide by the number of values. After adding all the given 20 precipitation values, the total sum comes out to be 61.8 inches. So the mean of the data will be 61.8/20 = 3.09 inches. Therefore, the mean normal monthly precipitation for August in these 20 U.S. cities is 3.09 inches.

Learn more about Mean of a data set here:

https://brainly.com/question/23562402

#SPJ3

Your family room has a sliding-glass door. You want to buy an awning for the door that will be just long enough to keep the Sun out when it is at its highest point in the sky. The angle of elevation of the rays of the Sun at this point is 70 $\degree$ , and the height of the door is 8 feet. Your sister claims you can determine how far the overhang should extend by multiplying 8 by tan 70 $\degree$

Answers

Answer: Your sister is not correct. You can determine how far the overhang should extend by dividing 8 by [tex]tan(70\°)[/tex]

Step-by-step explanation:

The complete exercise is attached.

Observe the picture attached. You can identify that the angle A and the angle B are congruent (which means that they have equal measure).

Let be "CB" is the length in feet that the overhang should be in order to keep the Sun out when it is at its highest point in the sky.

You need to use the following Trigonometric Identity:

[tex]tan\alpha =\frac{opposite}{adjacent}[/tex]

You can notice that, in this case:

[tex]\alpha =70\°\\\\opposite=8\ ft\\\\adjacent=CB[/tex]

Knowing these values you can substitute them into  [tex]tan\alpha =\frac{opposite}{adjacent}[/tex] and then solve for "CB" in orde to find its value.

You get:

[tex]tan(70\°)=\frac{8}{CB}\\\\CB*tan(70\°)=8\\\\CB=\frac{8}{tan(70\°)}\\\\CB=2.91[/tex]

Therefore, your sisteter is not correct.

Answer:

Your sister is not correct. You can determine how far the overhang should extend by dividing 8.

Step-by-step explanation:

You can determine how far the overhang should extend by dividing

Observe the picture attached. You can identify that the angle A and the angle B are congruent (which means that they have equal measure).

Let be "CB" is the length in feet that the overhang should be in order to keep the Sun out when it is at its highest point in the sky.

You need to use the following Trigonometric Identity:

You can notice that, in this case:

Knowing these values you can substitute them into   and then solve for "CB" in orde to find its value.

Therefore, your sisteter is not correct.

Other Questions
armer Ed has 2500 meters of fencing, and wants to enclose a rectangular plot that borders on a river. If Farmer Ed does not fence the side along the river, what is the largest area that can be enclosed? a car traveling 65 mph is an example of its Black, a Certified Fraud Examiner, is conducting an admission-seeking interview of Red, a fraud suspect. Black asks Red: "Did you do this because you were mad, or was there a reason you did this?" Red replies: "I had a reason." Which of the following is the most appropriate response for Black to make?A. "I'm glad you had a good reason to do this."B. "It couldn't have been a very good reason."C. "Everyone says that."D. "I don't believe you." Which countries were known as the Axis Powers during WWII? 25 % of __is 30I forgot who do slove this bc of quartine : Family Furniture Corporation incurred the following costs. Identify the costs as variable, fixed, or mixed. 1. Wood used in the production of furniture. 2. Fuel used in delivery trucks. 3. Straight-line depreciation on factory building. 4. Screws used in the production of furniture. 5. Sales staff salaries. 6. Sales commissions. 7. Property taxes. 8. Insurance on buildings. 9. Hourly wages of furniture craftsmen. 10. Salaries of factory supervisors. 11. Utilities expense. 12. Telephone bill. Plot V2 and V3 on the number line.Which statements are true? Check all that apply.O v2 1.5o 13 How did most people at Elizabeths medical school feel toward her by the time she graduated? 5.Which supporting sentence makes use of an example?If you want to lose weight, interval training is the way to go.Interval training quickly improves your stamina.Beto used interval training to prepare for-and win-a marathon.Four out of five of the athletes polled use interval training. An air-conditioner with refrigerant-134a as the working fluid is used to keep a room at 23C by rejecting the waste heat to the outdoor air at 37C. The room gains heat through the walls and the windows at a rate of 250 kJ/min while the heat generated by the computer, TV, and lights amounts to 900 W. The refrigerant enters the compressor at 400 kPa as a saturated vapor at a rate of 100 L/min and leaves at 1200 kPa and 70C. Determine (a) the actual COP, (b) the maximum COP, and (c) the minimum volume flow rate of the refrigerant at the compressor inlet for the same compressor inlet and exit conditions. which produces a higher than normal tide? a Spring Tide or Neal Tide? and why Find the sum and product of the roots.3x^2 - 4x-7 = 0 What are the most abundant animals found in the pelagic zone Locomotor movement applies to any motion of the body through space, while Nonlocomotor movementrefers to the motion of the body while it remains anchored in the same spot.TrueFalse If the government and Central Bank don't use economic policy, what could happen? How did Rosa Parks become an icon for the civil rights movement?Please help me!!!! The mean of 44, 47, y, 58 and 55 is 52. Find the value of y The leaves at the top of a trees canopy are exposed to direct sunlight during the day, and their phytochromes will occur in a high _____ ratio. Meanwhile, the leaves of the same tree at the bottom of the canopy are highly shaded during the day and will likely have a higher proportion of the _____ form of phytochrome present due to exposure to a higher proportion of _____ light. Perry Corporation produces and sells a single product. Data for that product are:Sales price per unit $250Variable cost per unit $180Fixed expenses for the month $600,000Currently selling 12,000 unitsUpper management is considering using a biodegradable packaging which costs $5 more per unit but it produces less waste in the long run. Management plans to increase advertising by $10,000 per month to advertise this new feature to their packaging. They believe that environmentally friendly people will switch to their product resulting in an increase in sales of 2,000 units per month. How many units would the company have to sell to maintain current operating income if these changes are implemented? Round up to the nearest whole unit. Wember Catering uses two measures of activity, jobs and meals, in the cost formulas in its budgets and performance reports. The cost formula for catering supplies is $350 per month plus $89 per job plus $9 per meal. A typical job involves serving a number of meals to guests at a corporate function or at a host's home. The company expected its activity in September to be 21 jobs and 144 meals, but the actual activity was 17 jobs and 141 meals. The actual cost for catering supplies in September was $3,035. The catering supplies in the planning budget for September would be closest to: