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3 years ago

If one of the short sides of a 45-45-90 triangle equals 5, how long is the hypotenuse?

Mathematics

1 answer:

Alla [95]3 years ago

5 0

Answer:

hypotenuse= 2 $\sqrt{5}$

Step-by-step explanation:

the triangle is equal tow side so it is two side =5 cm

then the hypotenuse by Phitagors theory the triangle hypotenuse =

$\sqrt{5^{2} +5^{2} }$ = 2 $\sqrt{5}$

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A 20 foot ladder leaning against a wall is used to reach a window that is 17 feet above the ground. How far from the wall is the

Liono4ka [1.6K]

Answer:

The wall is 10.5 foot far from the bottom of the ladder.

Step-by-step explanation:

Given:

Height of the ladder leaning against wall (Hypotenuse) = 20 foot.

Height from where the window is above from the ground (Leg1) = 17 feet.

To find the distance of the bottom of the ladder far from the wall (Leg2) = ?

Now, by using the pythagorean theorem:

$Hypotenuse^{2} = (Leg1)^{2} + (Leg2)^{2}$

$20^{2} =17^{2}+(Leg2) ^{2}$

$400=289+(Leg2)^{2}$

$400-289=(Leg2)^{2}$

$111=(Leg2)^{2}$

by squaring both sides

$Leg2=10.535$

10.535 foot rounded nearest tenth is 10.5 foot.

Therefore, the wall is 10.5 foot far from the bottom of the ladder.

6 0

3 years ago

Please help!! It's due in an hour!!

Agata [3.3K]

Answer: 2 feet below normal

6 0

3 years ago

Read 2 more answers

The graph of y = 4 – is shown.

Ratling [72]

Rather than try to select the correct answer without doing work, I'd rather do the work first and the matching later.

Given y = 4 - x, or y = 4 - 1x,

1) the y-intercept is (0,4).
2) this being a linear function, it has neither maximum nor minimum.
3) the x-intercept is found by letting y = 0 and solving for x: 0 = 4 - x; x - 4. The x-intercept is (4,0).

Which of the given statements is true?

7 0

2 years ago

8c - c +6=48. How do I explain this with words?

N76 [4]

8c -c= 7c
7c+6=48
7c=42
c=6

CHECK:
8(6)-(6)+6=48
48-6=42
42+6=48
48=48

4 0

3 years ago

Solve: √x=25. Explain how you found your answer. Explain how to check your work.

Zigmanuir [339]

$\sqrt{x} = 25 \: (square \: both \: side) \\ {( \sqrt{x} )}^{2} = {25}^{2} \\ x = 625 \\ test \\ \\ \sqrt{625} = 25$

4 0

2 years ago