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stellarik [79]
3 years ago
15

A ladder 9.00 m long leans against the side of a building. if the ladder is inclined at an angle of 75.0° to the horizontal, wha

t is the horizontal distance from the bottom of the ladder to the building?
Mathematics
1 answer:
Anastaziya [24]3 years ago
3 0

The question describes a right triangle with hypotenuse as 9 and one of the angles as 75 degrees. We are looking for the length of the leg adjacent the given angle 75 degrees.

Recall that:

\cos{\theta}=\cfrac{adj}{hyp}\\ \\ \Rightarrow\cos75^o=\cfrac{x}{9}\\ \\ \Rightarrow x=9\cos75^o=9(0.2588)=2.3 ft.

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H function is even, odd, or neither.<br> b. g(x) = x² - 2<br> Is it odd or even
o-na [289]

g(x) = x^2 - 2 \text{ is even function }

<em><u>Solution:</u></em>

Given that,

g(x) = x^2 - 2

We have to find whether the above function is odd or even

If a function is: y = f(x)

If f(-x) = f(x), the function is even

If f(-x) = - f(x), the function is odd

Which is,

\mathrm{Even\:Function:\:\:A\:function\:is\:even\:if\:}f\left(-x\right)=f\left(x\right)\mathrm{\:for\:all\:}x\in \mathbb{R}\\\\\mathrm{Odd\:Function:\:\:A\:function\:is\:odd\:if\:}f\left(-x\right)=-f\left(x\right)\mathrm{\:for\:all\:}x\in \mathbb{R}

From given,

g(x) = x^2 - 2

Replace x with -x

g(-x) = (-x)^2 - 2\\\\g(-x) = x^2 - 2

Therefore,

g(x) = g(-x)

Thus the function g(x) is even

4 0
3 years ago
Convert 674 cm into m
Lyrx [107]

Answer is below. Look at my explanation to understand my answer.

To convert centimetres into meters, you'll divide how many centimetres by 100.

With that being said...

674 ÷ 100 = 6.74

Hence, 6.74 is your answer.

Let me know of any questions or concerns.

7 0
3 years ago
What the next pattern of A, C, E, G, I
algol13

Answer: A C E G I = 1 2 3 7 8

Step-by-step explanation: A C E G I K M O Q S U W Y AA AC AE AG AI AK AO AQ AU AW AY BA

5 0
3 years ago
A circular pond has a radius of 6 feet. What is the area of that pond?
serg [7]

Answer:

radius x radius x pi = area of circle

6 x 6 = 36

36 x 3.14 = 113.04

113.04

Hope this helps

Step-by-step explanation:

6 0
4 years ago
13. Dallon bought a canoe that cost $33.75. The sales tax was 5.25%. What was his total cost including tax?13. Dallon bought a c
stiks02 [169]
x. 5.75.
_____ _____
33.75. 100

100x = 177.18
÷100. ÷100

x = 1.77

33.75
+1. 75
=
35.50
7 0
3 years ago
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