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forsale [732]
3 years ago
12

Find the leg and hypotenuse.

Mathematics
1 answer:
GalinKa [24]3 years ago
4 0

Answer:

Hypotenuse length is (√2)x if the leg lengths are x and x respectively.

Step-by-step explanation:

This is an isosceles right triangle.  The two acute angles are 45 degrees each and the leg lengths can be represented by x.  Applying the Pythagorean Theorem, we get x^2 + x^2 = h^2 (where h is the length of the hypotenuse), or

2x^2 = h^2.

Solve this for h.  Taking the square root of both sides of this equation, we get:

(√2)x = h

Conclusion:  if the two legs of this equilateral right triangle are x and x, respectively, the length of the hypotenuse is h = √2x.

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2. Sam has two part-time jobs, delivering pizza and mowing lawns. He makes $9/hr delivering pizza and $7/hr mowing lawns. Last w
frutty [35]

Answer:

<h2>22 hours and 10 hours </h2>

Step-by-step explanation:

let the jobs be x and y, so that

x+y=32--------1

9x+7y=248----2

x=32-y

substitute x=32-y for x in equation 2 we have

9(32-y)+7y=248

open bracket we have

288-9y+7y=248

-2y=248-288

-2y=-40

2y=40

divide both sides by 2 we have

y=40/2

y= 10 hours

subtitute y=10 for y in equation 1 to find x

x+10=32--------1

x=32-10

x=22

x=22 hours

4 0
3 years ago
Find the other endpoint of the line segment with the given endpoint and midpoint.
Damm [24]

Answer:

Step-by-step explanation:

(x - 3)/2 = 9

x - 3 = 18

x = 21

(y - 5)/2 = 6

y - 5 = 12

y = 17

(21, 17)

3 0
4 years ago
Find the max/min value of f(x) = 2x2 + 3x - 5
Lelechka [254]

Answer:

The minimum value is (-\frac{3}{4},-\frac{49}{8}) or  (-0.75,-6.125)

Step-by-step explanation:

we have

f(x)=2x^{2}+3x-5

This is the equation a vertical parabola open upward

The vertex represent a minimum

The general equation in vertex form is

f(x)=a(x-h)^2+k

where

(h,k) is the vertex

Convert the given function in vertex form

f(x)=2x^{2}+3x-5

Factor 2

f(x)=2(x^{2}+\frac{3}{2}x)-5

Complete the square

f(x)=2(x^{2}+\frac{3}{2}x+\frac{9}{16})-5-\frac{9}{8}

f(x)=2(x^{2}+\frac{3}{2}x+\frac{9}{16})-\frac{49}{8}

Rewrite as perfect squares

f(x)=2(x+\frac{3}{4})^{2}-\frac{49}{8}

The vertex is the point (-\frac{3}{4},-\frac{49}{8})

8 0
3 years ago
5. Choose the correct answer.
zepelin [54]

Answer:

Markdown

Step-by-step explanation:

For example: the price of the shirt was $10.00 It had a markdown of 15%. This would be $8.5.

5 0
2 years ago
Read 2 more answers
A square pyramid is made up of a base with a side length of 10 inches and faces that are triangles with a height of 12 inches. W
Ganezh [65]

Answer:

D. 340 square inches

Step-by-step explanation:

Side length translates to 1 side of the square, so you do 10 x 10 to find the area of the square.

10 x 10 = 100

The triangle one isn't much more difficult. The formula for finding the area of a triangle is bh1/2

So:

10 x 12 = 120/2=60

From there just multiply the result by 4- the amount of triangles on the square pyramid, and you'll get your answer.

60

x 4

240 + 100 = 340 square inches

if this helped brainliest would be epic

3 0
3 years ago
Read 2 more answers
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