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Bess [88]
2 years ago
7

The hypotenuse is 26. One of the legs measure 13. What is the length of the other leg?

Mathematics
1 answer:
vfiekz [6]2 years ago
4 0

Answer:

22.5

Step-by-step explanation:

a= √c2−b2

a=√676 - 169

a=√507

a=22.516660498395

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A rancher has 200 feet of fencing to enclose two adjacent corrals
Arturiano [62]

Answer:

a) Each corral should be 33⅓ ft long and 25 ft wide

b) The total enclosed area is 1666⅔ ft²

Step-by-step explanation:

I assume that the corrals have identical dimensions and are to be fenced as in the diagram below

Let x = one dimension of a corral

and y = the other dimension

 

(a) Dimensions to maximize the area

The total length of fencing used is:

4x + 3y = 200

4x = 200 – 3y

x = 50 - ¾y

The area of one corral is A = xy, so the area of the two corrals is

A = 2xy

Substitute the value of x

A = 2(50 - ¾y)y

A = 100 y – (³/₂)y²

This is the equation for a downward-pointing parabola:

A = (-³/₂)y² + 100y

a = -³/₂; b = 100; c = 0

The vertex (maximum) occurs at  

y = -b/(2a)  = 100 ÷ (2׳/₂) = 100 ÷ 3 = 33⅓ ft  

4x + 3y = 100

Substitute the value of y

4x + 3(33⅓) = 200

4x + 100 = 200

4x = 100  

x = 25 ft

Each corral should measure 33⅓ ft long and 25 ft wide.

Step 2. Calculate the total enclosed area

The enclosed area is 50 ft long and 33⅓ ft wide.

A = lw = 50 × 100/3 = 5000/3 = 1666⅔ ft²

6 0
3 years ago
Line K is parallel to line L
SpyIntel [72]

Answer:

The correct answer is A) Angle 1.

Step-by-step explanation:

We know this because they are opposite of one another. The lines don't even have to be parallel for this to be true.

4 0
3 years ago
Read 2 more answers
Elisa is making candles she knows each candle needs a wick that is 4 inches long.she wants to make 7 candles how many inches of
dimulka [17.4K]
She will need 28 inches of wick
4 0
3 years ago
Read 2 more answers
Write an equation in slope-intercept form of the line that passes through the given point and is parallel to the graph of the gi
scoundrel [369]

The given equation is y + 2 = 4(x - 1)

The equation of the parallel line in the slope-intercept form is y = 4x - 7

Step-by-step explanation:

Parallel lines have

  • Same slopes
  • Different y-intercepts

The slope-intercept form of the equation of a line is y = mx + b, where m is the slope of the line and b is the y-intercept

∵ The equation of the given line is y + 2 = 4(x - 1)

- Change its form to slope-intercept form to find its slope

∵ y + 2 = 4(x) - 4(1)

∴ y + 2 = 4x - 4

- Subtract 2 from both sides

∴ y = 4x - 6

- Compare it with the slope-intercept form to find m

∵ the slope-intercept form is y = mx + b

∴ m = 4

∵ The parallel lines have same slopes

∴ The slope of the parallel line is 4

- Substitute it in the form of the equation

∴ The equation of the parallel line is y = 4x + b

- To find b substitute x and y in the equation by the

   coordinates of a point on the line

∵ The parallel line passes through point (1 , -3)

∴ x = 1 and y = -3

∵ -3 = 4(1) + b

∴ -3 = 4 + b

- Subtract 4 from both sides

∴ -7 = b

∴ The equation of the parallel line is y = 4x + (-7)

∴ The equation of the parallel line is y = 4x - 7

The equation of the parallel line in the slope-intercept form is y = 4x - 7

Learn more:

You can learn more about the linear equations in brainly.com/question/4152194

#LearnwithBrainly

4 0
3 years ago
Can someone pls help me with 15 and 16
iragen [17]
Let say c represents for collar
Let e represents for embellishment

5c+2c <= to 1000.


I can’t help you with number 16. Sorry
7 0
3 years ago
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