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mojhsa [17]
3 years ago
13

I don’t know how to do any of this

Mathematics
1 answer:
mojhsa [17]3 years ago
3 0

Answer:

The length of x in #1 is 15.57

Step-by-step explanation:

Let's use #1 as an example to teach show you how to do this. In a right triangle we can solve these using trig. In this particular one, we have the measure adjacent to the angle and we are looking for the one opposite of the angle. So we look at all the trig functions and select the one that uses both of those two terms.

Sinα = Opp/Hyp

Tanα = Opp/Adj

Cosα = Adj/Hyp

As you can see, Tan is the function we are looking for. So we plug in all known information into that equation.

Tanα = Opp/Adj -----> Plug in known values

Tan(60) = x/9 ----->Calculate out the trig function

1.73 = x/9 -----> Multiply by the denominator to solve

15.57 = x

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Answer:

145

Step-by-step explanation:

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3 years ago
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The bill for a meal at a restaurant before tax is $84.00. The sales tax rate is 7% and you want to leave a 20% tip based on the
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Find the volume of a right circular cone that has a height of 9.1 m and a base with a circumference of 12.1 m. Round your answer
Orlov [11]

Answer:

V=35.3\ m^3

Step-by-step explanation:

-Given the cone's height is 9.1m and the Circumference is 12.1

#We use the circumference formula to calculate the radius:

C=2\pi r\\\\12.1=2\pi r\\\\r=\frac{12.1}{2\pi}=\frac{6.05}{\pi}\ cm

-The volume of the cone using the radius above can then be calculated as follows:

V=\pi r^2\frac{h}{3}\\\\=\pi\times(\frac{6.05}{\pi})^2\times \frac{9.1}{3}\\\\\\=35.3\ m^3

Hence, the cone's volume is 35.3\ m^3

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