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IrinaK [193]
2 years ago
5

ANSWER THIS CORRECTLY FOR BRAINLIEST (algebra)

Mathematics
2 answers:
Mkey [24]2 years ago
5 0

Answer:

V = 267.95

Step-by-step explanation:

The equation to find the volume of a sphere is:

V = \frac{4}{3} \pi r^{3}

r = radius

In the diagram of the question it shows that the radius is 4 m. Plug this into the equation:

V=\frac{4}{3} (3.14) (4)^{3}

Use a calculator to find the answer and then round to two decimal points:

V = 267.95

Hope this helps!!

sasho [114]2 years ago
4 0

Answer:

267.95 cubic meters

Explanation:

volume of sphere: (4/3)π(radius)³

Here given:

  • radius: 4 meter

Volume:

  • (4/3)π(radius)³

<u>insert values</u>

  • (4/3)(3.14)(4)³

<u>simplify</u>

  • (4/3)(3.14)(64)

<u>final answer</u>

  • 267.95 cm³
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Lines l and m are parallel. If m∠3 = 3x + 11 degrees and m∠2 = 4x + 1 degrees, what is the measure of ∠7? 41 degrees 139 degrees
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Answer:

m<7 = 139°

Step-by-step explanation:

Given:

m<3 = (3x + 11)°

m<2 = (4x + 1)°

Required:

m<7 = ?

SOLUTION:

Given that l and m are parallel lines, m<3 and m<2 are alternate interior angles.

Alternate interior angles are congruent. Therefore:

m<3 = m<2

3x + 11 = 4x + 1 (substitution)

Solve for x

3x + 11 - 4x = 4x + 1 - 4x

-x + 11 = 1

-x + 11 - 11 = 1 - 11

-x = -10

Divide both sides by -1

x = 10

Find m<2:

m<2 = (4x + 1)

Plug in the value of x

m<2 = 4(10) + 1 = 40 + 1

m<2 = 41°

Find m<7:

m<2 + m<7 = 180° (consecutive interior angles are supplementary)

41° + m<7 = 180° (substitution)

m<7 = 180 - 41 (subtracting 41 from each side)

m<7 = 139°

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