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Studentka2010 [4]
2 years ago
9

Find the exact circumference of a circle with the given radius.

Mathematics
1 answer:
11Alexandr11 [23.1K]2 years ago
3 0

Answer:

6.5\pi\ in

Step-by-step explanation:

we know that

The circumference of a circle is equal to

C=2\pi r

we have

r=3\frac{1}{4}\ in

Convert to an improper fraction

r=3\frac{1}{4}=\frac{3*4+1}{4}=\frac{13}{4}\ in

substitute

C=2\pi(\frac{13}{4})

C=\frac{13}{2}\pi=6.5\pi\ in

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ElenaW [278]

Answer:

r=1

Step-by-step explanation:

First we need to know the length of each side of the triangle, so we use the formula of the vector modulus:

|AB|= \sqrt{(b_{1}-a_{1})^{2}+(b_{2}-a_{2})^{2}+(b_{3}-a_{3})^{2}

By doing so, we find:

|AB|=\sqrt {6}\\|BC|=\sqrt {6}\\|AC|=2\sqrt {5}

With this we know that the triangle is not right, but, we assume the longest side as the hypotenuse of the problem.

As we have two equal sides, we know that the line between point |AB| and the center of the hypotenuse is perpendicular, therefore, we can calculate it using Pythagoras theorem:

|BC|^{2}=r^{2}+(\frac{|AC|}{2})^{2}\\\\r^{2}=|BC|^{2}-(\frac{|AC|}{2})^{2}\\\\r^{2}=(\sqrt{6})^{2}- (\frac{2\sqrt{5}}{2})^{2}\\\\r^{2}=6-5=1\\r=1

4 0
2 years ago
3) For what price is 15 percent off the same as $75 off?
Kryger [21]

\text{In this question, you would need to find the right value that 15\% is \$75}\\\\\text{You can do this by multiplying each number by 0.15}:\\\\200*0.15=30\\\\300*0.15=45\\\\350*0.15= 52.5\\\\500*0.15=75\\\\\text{You would see that 15\% of 500 is \$75}\\\\\boxed{\$500}

3 0
3 years ago
Read 2 more answers
In this triangle, what is the value of x?
nalin [4]

Answer: x=56.5\ km

Step-by-step explanation:

Given the right triangle in the image, you need to remember the following identity:

cos\alpha=\frac{adjacent}{hypotenuse}

Observe the triangle. You can identify that:

\alpha=28\°\\adjacent=x\\hypotenuse=64

Then, knowing these values, you can substitute them into  cos\alpha=\frac{adjacent}{hypotenuse}:

cos(28\°)=\frac{x}{64}

Finally, you have to solve for "x".

Therefore, the value of "x" rounded to the nearest tenth is:

64*cos(28\°)=x\\x=56.5\ km

8 0
3 years ago
A house is 1, 928 centimeters long. Convert this measure to M.
Triss [41]

Answer: 19.28 Meters

Step-by-step explanation:

We will find our units of conversion for this problem.

100 centimeters is equal to 10 meters.

So, we will divide 1,928 by 100 and we will see what we get.

1,928 ÷ 100 = 19.28

Our answer to the question is 19.28!

Carry on Learning!

6 0
3 years ago
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zhenek [66]

Step-by-step explanation:

g(f(x)) = f(x) substituted in g(x)'s function.

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4 0
2 years ago
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