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2 years ago

The area of a circle is 28.26 square miles. What is the circle's diameter?

1 answer:

3 0

The diameter is 6. Explanation:

radius: 3.14r^2

28.26=3.14r^2

28.26/3.14=r^2

r^2=9

r=3

and we know that diameter is two times the radius so:

3*2=6

diameter equals 6.

if you want to check it plug back in:

3^2 * 3.14 = 28.26

hope this helped :)

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What is the value of x?

djverab [1.8K]

Answer:

x = 55°

Step-by-step explanation:

Hello!

The sum of angles in a triangle is 180°.

To solve for x, we have to subtract the given angles from 180°.

<h3>Solve for x</h3>

180° = ∠1 + ∠2 + ∠x
180° = 75° + 50° + x°
180° - 75° - 50° = x°
55° = x°

The value of x is 55°.

6 0

2 years ago

Read 2 more answers

2. In the diagram below, secants PT and PU have been drawn from exterior point P such that the four arcs

scoundrel [369]

Answer:

(a) x = 30°

(b) mRS = 30°

mST = 120°

mTU = 120°

mUR = 90°

Step-by-step explanation:

(a) In the picture attached, the diagram is shown.

Given that m arc RS = x, from the ratios:

m arc ST = 4x

m arc TU = 4x

m arc UR = 3x

The addition of the four arcs must be equal to 360°, then:

x + 4x + 4x + 3x = 360°

12x = 360°

x = 360°/12 = 30°

(b) m arc RS = x = 30°

m arc ST = 4x = 4*30° = 120°

m arc TU = 4x = 4*30° = 120°

m arc UR = 3x = 3*30° = 90°

8 0

3 years ago

The March utility bills (in dollars) of 30 homeowners are listed below. 44 38 41 50 36 36 43 42 49 48 35 40 37 41 43 50 45 45 39

Ulleksa [173]

Step-by-step explanation:

What we will do is create a table with the data they give us, the first thing will be to organize it from smallest to largest, like this:

33, 35, 35, 36, 36, 36, 37, 38, 38, 39, 40, 40, 41, 41, 41, 42, 42, 43, 43, 43, 44, 45, 45, 47, 48, 48, 49, 50, 50, 50

Now we know that the smallest number is 33 and the largest is 50, to create 5 ranges, we will calculate the difference and divide by 5.

(50 - 33) / 5 = 3.4

Therefore we will make ranges of 3 and 4, values, like this

Rank 1: 33 - 36

Rank 2: 37 - 39

Rank 3: 40 - 43

Rank 4: 44 - 46

Rank 5: 47 - 50

We will calculate the frequency distribution of values in each range:

Rank 1: 6

Rank 2: 4

Rank 3: 10

Rank 4: 3

Rank 5: 7

5 0

3 years ago

What is the distance between (3, -8) and (0, -2)

faltersainse [42]

The answer is 3√5. You use the distance formula: √((x2-x1)^2+(y2-y1)^2)

3 0

3 years ago

Read 2 more answers

Find the measure of each angle indicated. Round to the nearest tenth.

Sladkaya [172]

Answer:

Step-by-step explanation:

So we want to find<em> θ. </em>We are already given the hypotenuse and the side length opposite to <em>θ. </em>Therefore, we can use the trig function sine to find <em>θ. </em>

Recall that:

$\sin(\theta)=opp/hyp$

Plug in 10.2 for the opposite side and 15 for the hypotenuse:

$\sin(\theta)=10.2/15$

Solve for <em>θ. </em>Use a calculator:

$\theta=\sin^{-1}(10.2/15)\\\theta\approx42.8436\textdegree$

The answer is D.

5 0

3 years ago