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Sloan [31]
3 years ago
7

Find the area of a circle with a circumference of 34.6 feet

Mathematics
1 answer:
andrew11 [14]3 years ago
4 0

Answer:

Area of the circle = 95.33feet^2

Step-by-step explanation:

Circumference of the circle=34.6 feet

Circumference of a circle= 2\pi r

           34.6=2\pi r\\\\

As, \pi =\frac{22}{7}=3.14

        34.6=2*3.14*r\\\\34.6=6.28*r\\\\34.6/6.28=r\\\\r=5.51feet

Area of the circle=\pi r^2

            =3.14*5.51*5.51\\\\=3.14*30.36\\\\=95.33feet^2

The area of the circle is 95.33feet^2

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What is the slope of the line? x+3y=100
Dima020 [189]

Answer:

y= (100 - x) / 3 or y= (100/3) - (1x/3)

Step-by-step explanation:

1) subtract x

2) divide the entire equality by 3

3) Solve

8 0
2 years ago
In ΔBCD, the measure of ∠D=90°, BD = 20, CB = 29, and DC = 21. What is the value of the cosine of ∠C to the nearest hundredth?
Romashka-Z-Leto [24]

Step-by-step explanation:

This is what the triangle should look like, when you draw it.

As its a right-angle triangle, trigonometry was used.

Let theta represent the angle of cosine C

8 0
2 years ago
I need help!! please, you don’t even have to do it all just explain to me how to do the first one I’ll catch on
lisov135 [29]

Hi there!

<u>What we need to know:</u>

The three main trigonometric ratios are sine, cosine and tangent:

\displaystyle sin\theta=\frac{opposite}{hypotenuse}     \displaystyle cos\theta=\frac{adjacent}{hypotenuse}    \displaystyle tan\theta=\frac{opposite}{adjacent}

"Opposite" refers to the side opposite the angle that is not the hypotenuse.

"Hypotenuse" refers to the side opposite the right angle of a right triangle.

"Adjacent" refers to the side next to the angle that is not the hypotenuse.

"θ" is read as "theta". It just represents the angle.

Keep in mind that these three ratios only apply to right triangles.

You can use the mnemonic "soh-cah-toa" to help you remember these ratios.

<u>First question</u>

For the first question, we're given the angle with a measure of 56 degrees and the length of the <em>hypotenuse</em>. We must calculate <em>a</em>, which represents the side <em>adjacent </em>to the given angle.

Given the hypotenuse and the adjacent side, we know that we must use the cosine ratio:

\displaystyle cos\theta=\frac{adjacent}{hypotenuse}

Plug in the given information:

\displaystyle cos56=\frac{a}{13}

Isolate <em>a</em> by multiplying both sides by 13:

13\displaystyle cos56=a

Solve using a calculator:

a=7.3

Therefore, <em>a</em> is equal to 7.3 when rounded to 1 decimal place.

<u>Other information you will need to know:</u>

In the above question, we needed to solve for a side. But what if we were given two sides and we needed to solve for an angle? For example:

\displaystyle sin\theta=\frac{5}{8}

In this case, we will use the inverse sine ratio:

\displaystyle \theta=sin^-^1(\frac{5}{8})

Solve using a calculator:

\displaystyle \theta=39

Therefore, the angle would equal approximately 39 degrees.

I hope this helps!

3 0
2 years ago
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Sindrei [870]
8.80000334
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7 0
2 years ago
- 3x + 9 - 4 = x + 3 + 2x​
Gwar [14]
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3 years ago
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