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Gelneren [198K]
4 years ago
13

Four interior angles of a pentagon measure 156°, 72°, 98°, and 87°. What is the measure of the final interior angle?

Mathematics
2 answers:
Svet_ta [14]4 years ago
5 0
The final interior angle is 127<span>°.  Pentagons' interior angles add up to 540, so you add the ones you know together, subtract the big number from 540, and you have your answer.  </span>
Alinara [238K]4 years ago
5 0
127 because when you add up 156,72,98,87 it equals 413 and for a pentagon's interior angle it equals 540 so 540-413
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Answer:

He will have $4491.38 after 5 years

Step-by-step explanation:

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Interest after 5 years = $141.38

The total money he will have after 5 years is

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myrzilka [38]

The amount of space (volume) that is in the larger spherical ball than the smaller = 1,084.8 in.³

<h3>What is the Volume of a Sphere/Spherical Solid?</h3>

To find the volume of a sphere, which is the amount of space the solid contains, the formula used is given as: 4/3 πr³, where r is the radius of the sphere, which is half the measure of the diameter. Volume of sphere (V) = 4/3 πr³.

Diameter of the smaller spherical ball = 5 inches

Radius of the smaller spherical ball = 5/2 = 2.5 inches

Volume of the smaller spherical ball = 4/3 πr³ = 4/3 × π × 2.5³

Volume of the smaller spherical ball ≈ 65.5 in.³

Diameter of the larger spherical ball = 13 inches

Radius of the larger spherical ball = 13/2 = 6.5 inches

Volume of the larger spherical ball = 4/3 πr³ = 4/3 × π × 6.5³

Volume of the larger spherical ball ≈ 1,150.3 in.³

The amount of space (volume) that is in the larger spherical ball than the smaller = 1,150.3  - 65.5

The amount of space (volume) that is in the larger spherical ball than the smaller = 1,084.8 in.³

Learn more about the volume of sphere on:

brainly.com/question/22807400

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2 years ago
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Step-by-step explanation:

5 0
3 years ago
A worker at a factory earns $12 per hour plus 2.50 for each unit produced that hour. The worker earns a total of $27 in one hour
nevsk [136]

Answer:

The total number of units produced is 6  .

Step-by-step explanation:

Given as :

The earning of worker at the factory = $ 12 per hour + $ 2.50 each unit per hour

The total earning of worker per hour = $ 27

Let The total number of unit produced = x

According to question

The wage worker earn per hour + earning  × per unit produced that hour = Total earning of worker per hour

Or, $ 12 per hour + $ 2.50 each unit per hour × x = $ 27

Or, $ 2.50 each unit per hour × x = $ 27 - $ 12

Or,  $ 2.50 each unit per hour × x = $ 15

∴   x = \frac{15}{2.50}

Or, x = 6

Hence The total number of units produced is 6  .   Answer

4 0
3 years ago
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