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Luden [163]
4 years ago
5

What’s the answer to this ?

Mathematics
1 answer:
Alexus [3.1K]4 years ago
5 0

Answer:

59.44 units²

Step-by-step explanation:

The area of each triangular section can be computed from the side length (5 units) and the central angle (72°) as ...

... section area = (1/2)sin(72°)·5² ≈ 12.5·0.951057 ≈ 11.8882 . . . units²

Then 5 such sections will have an area of ...

... pentagon area = 5·11.8882 units² = 59.4410 units²

_____

<em>Comment on central angle</em>

The central angles total 360°. There are 5 equal sections, so the central angle for each of them is 360°/5 = 72°.

<em>Comment on area formula</em>

It can be occasionally handy to know that the area of a triangle can be computed from the lengths of adjacent sides and the angle between them. The formula for sides of length "a" and "b" and angle β is ...

... A = (1/2)ab·sin(β)

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Given: 5x + 3 &gt; 4x + 7. Choose the graph of the solution set.
riadik2000 [5.3K]
Let's solve your inequality step-by-step.

<span><span><span>5x</span>+3</span>><span><span>4x</span>+7

</span></span>Step 1: Subtract 4x from both sides.

<span><span><span><span>5x</span>+3</span>−<span>4x</span></span>><span><span><span>4x</span>+7</span>−<span>4x

</span></span></span><span><span>x+3</span>>7

</span>Step 2: Subtract 3 from both sides.

<span><span><span>x+3</span>−3</span>><span>7−3

</span></span><span>x>4

</span>Answer:

<span>x><span>4</span></span>
4 0
3 years ago
Read 2 more answers
The sampling method where every item in the population has an equal probability of being selected is called:
larisa86 [58]
With 'random sampling' every item in the population has an equal probability of being selected.
3 0
3 years ago
Azul spun a tri-color spinner twice. What is the probability that the spinner landed on the colors blue and green in any order?
guapka [62]

Answer:

The Probability that the spinner landed on the colors blue and green in any order = 2/9

Step-by-step explanation:

Given - Azul spun a tri-color spinner twice.

To find - What is the probability that the spinner landed on the colors blue and green in any order?

Solution -

Given that,

A tri-color spinner spun twice

So,

The Sample Space, S = {BB, BG, BY, GB, GG, GY, YB, YG, YY}

⇒n(S) = 9

Now,

Let A be an event that the spinner landed on the colors blue and green

So,

A = {BG, GB}

⇒n(A) = 2

Now,

Probability that the spinner landed on the colors blue and green in any order = n(A) ÷ n(S)

         = 2 ÷ 9

∴ we get

The Probability that the spinner landed on the colors blue and green in any order = 2/9

8 0
3 years ago
What is the simplified form of x minus 5 over x squared minus 3x minus 10 ⋅ x plus 2 over x squared plus x minus 12 ?
kifflom [539]

We can simplify the expression with patience and a little mathematical tinkering.

The simplified expression is shown in the attached picture, along with more information obtained about your expression.

The objective is to add similar terms and fractions and group them together to form a solution in a compact, elegant form.

6 0
3 years ago
What is 20 - {4 + [4 + (10/2)]}
vampirchik [111]

Answer:

<h2>7</h2>

Step-by-step explanation:

Plugged it in the calc!

Hope it helps :)

3 0
3 years ago
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