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Maurinko [17]
4 years ago
9

A painter has a 24 foot ladder that he is using to paint a house.for safety reasons the ladder must be placed at least 8 feet fr

om the base of the side of the house.To the nearest tenth of a foot how high can the ladder safely reach?
Mathematics
1 answer:
adoni [48]4 years ago
6 0

this is a pythagorean theorem problem. 24 is the whole ladder, and if you draw it out, is a hypotenuse. 8 is a leg.  a^2+ b^2 = c^2. so 8^2 + b^2 = 24^2

b^2 = 512, so b = sqrt(512) = 22.6

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If cos Θ = square root 2 over 2 and 3 pi over 2 < Θ < 2π, what are the values of sin Θ and tan Θ? sin Θ = square root 2 ov
densk [106]

Answer:

\huge\boxed{\sin\theta=-\dfrac{\sqrt2}{2};\ \tan\theta=-1}

Step-by-step explanation:

We have:

\\cos\theta=\dfrac{\sqrt2}{2},\ \dfrac{3\pi}{2}

For sine use:

\sin^2x+\cos^2x=1\to\sin^2x=1-\cos^2x

Substitute:

\sin^2\theta=1-\left(\dfrac{\sqrt2}{2}\right)^2\\\\\sin^2\theta=1-\dfrac{(\sqrt2)^2}{2^2}\\\\\sin^2\theta=1-\dfrac{2}{4}\\\\\sin^2\theta=\dfrac{4}{4}-\dfrac{2}{4}\\\\\sin^2\theta=\dfrac{4-2}{4}\\\\\sin^2\theta=\dfrac{2}{4}\to\sin\theta=\pm\sqrt{\dfrac{2}{4}}\\\\\sin\theta=\pm\dfrac{\sqrt2}{\sqrt4}\\\\\sin\theta=\pm\dfrac{\sqrt2}{2}

θ in IV quadrant, therefore sine is negative.

\sin\theta=-\dfrac{\sqrt2}{2}

For tangent use:

\tan x=\dfrac{\sin x}{\cos x}

Substitute:

\tan\theta=\dfrac{-\frac{\sqrt2}{2}}{\frac{\sqrt2}{2}}=-\dfrac{\sqrt2}{2}\cdot\dfrac{2}{\sqrt2}=-1

8 0
3 years ago
Please answer without links just answers QUICK!!!!
SIZIF [17.4K]
Answer:
0.5n = 3.5
3n = 21
8n = 56
3 0
2 years ago
A square has one side that is 7 inches long. What is the area of the square?​
Anna007 [38]

Answer:

49

Step-by-step explanation:

with a square all sides are equal so if one side is 7 the other is 7 so you would do 7 * 7

hope this helps

7 0
3 years ago
Gwen, Tristan and Keith like to work out at the gym . They each have an app on their phone that estimates the calories they burn
Anarel [89]

Based on the above scenario, an equation that shows how much Gwen paid. The equation for Gwen is y = 100 + 10x

  • The equation for Tristan is y = 12.5x
  • The equation for Keith is y = 10x.

<h3>What is the  equation  about?</h3>

Since Gwen burns  about 10 cal/min. THen she had used up 100 calories if Tristan and Keith began ar (Y g=100 if  x=0)

Then Y(g)= 10x + 100

Since Tristan is known to burns 125 cal in 10 minutes always, then one can write her own as 12.5 cal every minute.

Therefore Y (t) = 12.5x

Since Keith burns 300 calories in 30 min always, or 10 calories in every minute.

Then Y (k) = 10x

The   general function of y:

y=10x +100 + 12.5x + 10x

y = 32.5x + 100

Therefore, Based on the above scenario, an equation that shows how much Gwen paid. The equation for Gwen is y = 100 + 10x

  • The equation for Tristan is y = 12.5x
  • The equation for Keith is y = 10x.

Learn more about calories from

brainly.com/question/6535979

#SPJ1

7 0
2 years ago
Which of the choices shows these values<br> from least to greatest?
Lunna [17]

Answer:

What are the choices lol

Step-by-step explanation:

Choices?

4 0
4 years ago
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