Ashley has a right triangular Garden in her backyard the longest side of the garden measures 17 yards one of the sizes 10 yards long find the length of the other side of the garden

Answers

Answer 1

Answer....

The answer should be 13.74 yards.

We must apply the pythagorean theorem to solve.

C is the hypotenuse aka the longest side.

Formula: a^2 + b^2 = c^2

a^2 + 10^2 = 17^2

a^2 + 100 = 289

Subtract 100 from both sides.

a^2 = 189

Square root of 189 is approximately 13.74.


Related Questions

When a cycle is sold allowing 10% discount on its marked
price a seller gains 5% and allowing 5% discount the profit is
Rs 351. Find the cost price of the cycle. (Ans: Rs. 3240)​

Answers

The cost price of the cycle is Rs.3240

Represent the cost price of the cycle with x and the selling price with y

A gain of 5% when the marked price is at a discount of 10% implies that:

[tex]5\%=\frac{(1 - 10\%)y-x}{x}[/tex]

Express 10% as decimal

[tex]5\%=\frac{(1 - 0.10)y-x}{x}[/tex]

[tex]5\%=\frac{0.90y-x}{x}[/tex]

Express 5% as decimal

[tex]0.05=\frac{0.90y-x}{x}[/tex]

Cross multiply

[tex]0.05x=0.90y-x[/tex]

Collect like terms

[tex]x + 0.05x=0.90y\\[/tex]

This gives

[tex]1.05x=0.90y[/tex]

Make y the subject of the formula

[tex]y = \frac{1.05x}{0.90}[/tex]

Also, when the discount is 5% and the profit is 351, we have:

[tex]351=(1 - 5\%)y -x[/tex]

Express 5% as decimal

[tex]351=(1 - 0.05)y -x[/tex]

This gives

[tex]351=0.95y -x[/tex]

Make y the subject

[tex]0.95y = 351 + x[/tex]

Substitute [tex]y = \frac{1.05x}{0.90}[/tex]

[tex]0.95 \times \frac{1.05x}{0.90} = 351 + x[/tex]

[tex]\frac{0.9975x}{0.90} = 351 + x[/tex]

Subtract x from both sides

[tex]\frac{0.9975x}{0.90} -x= 351[/tex]

Take LCM

[tex]\frac{0.9975x - 0.9x}{0.90}= 351[/tex]

[tex]\frac{0.0975x}{0.90}= 351[/tex]

Multiply both sides by 0.90

[tex]0.0975x= 315.9[/tex]

Divide both sides by 0.0975

[tex]x= 3240[/tex]

Hence, the cost price of the cycle is Rs.3240

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Marsha has two cubes with one number on each side,each cube is numbered from 1 to 6 marsha rolls both number cubes at the same time. What is the probability that the total of numbers facing up will equal 12

Answers

Answer:

1/36

Step-by-step explanation:

If the cubes are numbered from 1 to 6 there is just one way that the sum of both of them equals 12 and this is when Marsha gets 6 in the first cube and 6 in the other.

Thus, to know what the probability that the total of numbers facing up will equal 12 we would have to calculate the probability that the first cube is 6 AND the second one is also 6.

The probability that the first cube has the number 6 is: 1/6

The probability that the second cube has the number 6 is: 1/6

We need to multiply this numbers because they both have to be 6 (rule of multiplication),

so: [tex]\frac{1}{6}(\frac{1}{6} )= \frac{1}{36}[/tex]

Thus, the probability that the sum of them equals 12 is 1/36

A rectangular prism has a length of 12in, a height of 5in, and a width of 8in. What is its volume, in cubic in?

Answers

Answer: The volume is 480 in^3

Step-by-step explanation:

v= lwh

v= 12 * 5 * 8

v= 480 in^3

Answer:

Volume of the rectangular prism = [tex]480in.^{3}[/tex]

Step-by-step explanation:

Formula for the volume of a rectangular prism= Ah, where A= base area

                                                                                               & h= height

Base area(A)= Length×Width

                    = 12in.×8in.

                    = [tex]96in.^{2}[/tex]

Since height=5in.,

Volume= [tex]96in.^{2}[/tex]×5in.

            = [tex]480in.^{3}[/tex]

Hope this helps!!!

Pls mark as brainliest

Please answer ASAP In need of help

Answers

Answer:

5/7

Step-by-step explanation:

Billy experienced a rate of catfish to toral fish of 10/14. This is 5/7. So if this rate continues, he could expect the probability of catching a catfish to be : 5/7

Describe how multiplying all the linear dimensions of a cone by one
fourth affects the volume of the solid. *

Answers

Answer:[tex]\frac{1}{64}^{th}[/tex]

Step-by-step explanation:

Given

Suppose V is the original volume of cone having r as radius and h as height

If we multiply all the linear dimensions of ac one by [tex]\frac{1}{4}^{th}[/tex]

the [tex]r'=\frac{r}{4}[/tex]

[tex]h'=\frac{h}{4}[/tex]

Therefore new volume is

[tex]V'=\frac{1}{3}\pi r'^2h'[/tex]

[tex]V'=\frac{1}{3}\pi (\frac{r}{4})^2(\frac{h}{4})[/tex]

[tex]V'=\frac{1}{64}\times \frac{1}{3}\pi r^2h[/tex]

[tex]V'=\frac{V}{64}[/tex]

So new volume becomes [tex]\frac{1}{64}^{th}[/tex] of the original one

What is the y-intercept of the quadratic function f(x) = (x-8)(x+3)

Answers

Answer:

-24

Step-by-step explanation:

To find the y intercept, plug x in as 0.

Answer:

-24

Step-by-step explanation:

Y intercept is where graph cuts the y axis and it satisfies x=0

So put x=0 in your equation

F(0)= -8 x 3

F(0)= -24

Therefore y-intercept= -24


Which problem is being modeled on the number line?

Answers

I don’t see a number line but I can help

Answer:

Step-by-step explanation:

(x - 3)² + (x - 1)² = 8
Identify the center and radius of each

Answers

Answer:

The center is at (3,1) and the radius is [tex]\sqrt{8}[/tex]

Step-by-step explanation:

I am going to assume you meant to write

[tex](x-3)^2+(y-1)^2 = 8[/tex]

Since if both variables were x it would not be a circle:

Then you can find the center and radius using the general formula of a circle:

[tex](x-h)^2 + (y-k)^2 = r^2[/tex]

where the center is at (h,k) and r is the radius

Therefore:

The center is at (3,1) and the radius is [tex]\sqrt{8}[/tex]

Someone help me please

Answers

Step-by-step explanation:

Step 1:  Convert degrees into radians

[tex]\frac{degrees}{1}*\frac{\pi }{180}[/tex]

[tex]\frac{52}{1}*\frac{\pi}{180}[/tex]

[tex]\frac{52\pi}{180}[/tex]

[tex]\frac{13\pi}{45}[/tex]

Step 2:  Find the arc length

[tex]S = r\theta[/tex]

[tex]S=(3)(\frac{13\pi}{45})[/tex]

[tex]S = \frac{39\pi}{45}[/tex]

[tex]S=\frac{13\pi}{15}[/tex]

Answer: Option B

What is the end behavior of the polynomial function?

Answers

Answer:

D) as x approaches neg. infinity, y approaches neg. infinity

Step-by-step explanation:

This is because you get to negative x infinity which is towards the right, you see that the y value is going down sharply as well towards the direction of negative infinity in y direction (x direction is right to left and y direction is up and down)

Answer:

D one Edge 2021 ;))

Step-by-step explanation:

I need help with this :/ pls help

Answers

Answer:

When you divide by 10^3, the decimal point moves three places to the right. When you multiply by 0.001, the decimal point moves three places to the right. So, both equal .0777

Step-by-step explanation:

Find the greatest common factor of 24, 40 and 60
Please answer asap ty!!

Answers

Answer:

4

Step-by-step explanation:

Answer:

GCF=4

Step-by-step explanation:

It's 4

24/4=6

40/4=10

60/4=15

You can't go any higher because there is no GCF of 6, 10, and 15.

whats 2.638 rounded to the nearest hundredth?​

Answers

Answer:

2.64

Step-by-step explanation:

The 8 in the thousandths place can round up to .64

Please answer i'll give brainlist
AD and BE are diameters. What is the measure of arc EDC
A. 125 degrees
B. 145 degrees
C. 235 degrees
D. 215 degrees

Answers

Answer:

a

Step-by-step explanation:

Reid has a bag that contains fruit. The bag contains 16 pineapple 17 pomegranates and 12 melons. what is the probability pulling pomegranate out of the bag?

Answers

Answer:

17/45

Step-by-step explanation:

Answer:

is your brainly working?

Step-by-step explanation:

help me plzzzzzzz!!!!

[tex] {y}^{2} + 14 = 3 {y}^{2} \times 5[/tex]​

Answers

Answer:

[tex]y=1,\:y=-1[/tex]

Step-by-step explanation:

[tex]y^2+14=3y^2\cdot \:5\\\y^2+14-14=3y^2\cdot \:5-14\\y^2=15y^2-14\\y^2-15y^2=15y^2-14-15y^2\\-14y^2=-14\\\frac{-14y^2}{-14}=\frac{-14}{-14}\\y^2=1\\\\y=\sqrt{1},\:y=-\sqrt{1}\\y=1,\:y=-1[/tex]

Answer:

y = ± 1

Step-by-step explanation:

Given

y² + 14 = 3y² × 5, that is

y² + 14 = 15y² ( subtract y² from both sides )

14 = 14y² ( divide both sides by 14 )

1 = y² ( take the square root of both sides )

± [tex]\sqrt{1}[/tex] = y , that is

y = ± 1

Thus y = - 1 or y = 1

Plz, help me plz!!!!!!!!!!!!! will mark brainliest!!!!
The scatter plot shows the total number of songs downloaded on a popular music service.
image below

Answers

Answer:

Its B. y-5x+5

Step-by-step explanation:

Use the slope formula

The equation of the linear model is y = 5x + 5. The correct answer is option B.

What is the equation?

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

We can find the equation of the linear model passing through two points using the slope-intercept form of a line:

y = mx + b

where m is the slope of the line and b is the y-intercept.

First, we need to find the slope of the line:

m = (y₂ - y₁) / (x₂ - x₁)

Let (0, 5) be the first point, and (3, 20) be the second point:

m = (20 - 5) / (3 - 0) = 15 / 3 = 5

Now that we know the slope, we can plug in one of the points and solve for the y-intercept:

y = mx + b

5 = 5(0) + b

b = 5

Hence, the equation of the linear model is:

y = 5x + 5

Learn more about the equation here:

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Find the circumference of a circle whose area is 24 ft2

Answers

Answer: [tex]17.33ft[/tex]

Step-by-step explanation:

We need to go from area to radius to circumference.

Formula for the area:

[tex]A=\pi r^2[/tex]

Solve for r;

Divide by pi

[tex]r^2=\frac{A}{\pi}[/tex]

Extract the square root.

[tex]r=\sqrt{\frac{A}{\pi} }[/tex]

Plug in the value of the area.

[tex]r=\sqrt{\frac{24ft^2}{3.14} } \\r=2.76ft[/tex]

Now that you've found the radius, use the circumference formula to calculate it.

[tex]C=2\pi r\\C=2(3.14)(2.76ft)\\C=17.33ft[/tex]

What is the distance between the points (4, 5) and (10, 13) on a coordinate plane?

A. 10 units
B. 14 units
C. 12 units
D. 8 units

Answers

Answer:

10

Step-by-step explanation:

Distance = √(x2-x1)² + (y2-y1)²

d = √(10-4)² + (13-5)²

d = √6² + 8²

d = √36+364

d = √100

d = 10

what's the change in Dana's profit from Saturday to sunday? simplify the expression

Answers

Answer:

14 did this lesson rn

Step-by-step explanation:

The required change in Dana's profit is given as $12, as of the given condition.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here,
On Saturday Dana's profit = -$2
On Sunday Dans;s profit = $12
Change in Dana's profit = 12 - 2 = $12

Thus, the required change in Dana's profit is given as $12.

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3. Which of the following represents a function?
O (5, 1), (5,2), (5, 3), (5, 4)
O (-1,2), (-2, 1), (-1, -2), (-2,-1)
O (3, 4), (-3, 2), (3, 8), (5,5)
O (2, 3), (4, 3), (-2, -3), (-4,-3)

Answers

Answer: D is a function.

Step-by-step explanation:

A function need to have exactly one output to each input.

Answer: D. (2, 3), (4, 3), (-2, -3), (-4,-3)

Step-by-step explanation: This represents a function because they're the opposing of each other. Hope this helps happy holidays! :)

At 8:00 am, it is 10 degrees outside. 12 hours later at 8:00 pm, it is -20 degrees outside. What is the difference in temperatures?

Answers

Answer:

-30

Step-by-step explanation:

find the variable: n/14=3

Answers

Answer:

n=42

Step-by-step explanation:

A submarine at a depth of 675 feet below the surface rose to 1/3 this depth. Which of the following represents the new depth of the submarine below the surface?

Answers

Answer:

225

Step-by-step explanation:

Take 675/3 to find one third of its current depth. That gives you your answer. Does that make sense?

3. Find x, y, and z.


y
18°
64°​

Answers

Answer:

[tex]y = 18 \: \: degrees[/tex]( vertically opposite angles)

[tex]x = 64 \: \: degrees[/tex]

[tex]y + z + x = 180 \\ 18 + z + 64 = 180 \\ 82 + z = 180 \\ z = 180 - 82 \\ z = 98 \: \: degrees[/tex]

what is the solution of this equqtion? 1w= -17​

Answers

Answer:

-17

Step-by-step explanation:

1w= -17

(1)(-17)=

-17

Answer:

-17

Step-by-step explanation:

in this situations, we normally divide both sides by the number next to the unknown.

1w is the same as saying w

so,

w = -17

What are the domain and range of the logarithmic
function f(x) = log7X? Use the inverse function to
justify your answers.

Answers

Answer:

The domain of f is x > 0.

The range of f is all real numbers.

The domain of the inverse function is all real numbers.

The range of the inverse function is y > 0.

The domain of f is the same as the

range of the inverse function.

The range of f is the same as the

the domain of the inverse function.

Step-by-step explanation:

this is the sample answer, make sure you rewrite in your own words!

The domain and the range of a function are the set of input and output values of the function

The domain and the range of the function are set of real numbers greater than 0

The function is given as:

[tex]f(x) = log_7(x)[/tex]

The above function is a logarithmic function.

From the properties of a logarithmic function, we have:

The x-values are always greater than 0The y-values are always greater than 0

This means that, the domain and the range of the function are set of real numbers greater than 0

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How to determine the function with the graph?

Answers

i think it’s f (x)= 1

Determine the volume of the cylinder

Answers

Answer:

about 904.78

Step-by-step explanation:

πr^2h pi(6)^2 * 8

ASAP WILL MARK BRAINLEST
What is the number of possible combinations of 8 objects taken 6 at a time?

Answers

The number of possible combinations of 8 objects taken 6 at a time is 28. Then the correct option is D.

What is a combination?

Combinations are the way of selecting objects or elements from a group of objects or collections, in such a way the order of the objects does not matter.

The number of possible combinations of 8 objects taken 6 at a time.

Then the number of the combination is given as

[tex]\rm ^8C_6 = \dfrac{8!}{(8-6)! 6!}\\\\\\^8C_6 = \dfrac{8 \times 7 \times 6!}{2 \times 1 6!}\\\\\\^8C_6 = 7 \times 4\\\\\\^8C_6 = 28[/tex]

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