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Andre45 [30]
2 years ago
6

A sphere has a radius of 2 inches. What is the approximate volume of half of the sphere?

Mathematics
1 answer:
Schach [20]2 years ago
4 0

Answer:

1 inch

Step-by-step explanation:

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What is the height, x, of the equilateral triangle?
e-lub [12.9K]

Using the Pythagorean Theorem, the height of the equilateral triangle is given by:

A. h = 7\sqrt{3} inches.

<h3>What is the Pythagorean Theorem?</h3>

The Pythagorean Theorem relates the length of the legs l_1 and l_2 of a right triangle with the length of the hypotenuse h, according to the following equation:

h^2 = l_1^2 + l_2^2

For this problem, we have that:

  • The height is one side of the triangle.
  • The other side is half the length, of 7 in.
  • The hypotenuse is the length, of 14 in.

Hence the height is found as follows:

h^2 + 7^2 = 14^2

h = \sqrt{147}

h = \sqrt{49 \times 3}

h = 7\sqrt{3} inches.

More can be learned about the Pythagorean Theorem at brainly.com/question/654982

#SPJ1

7 0
2 years ago
Please help me with this math problem, urgent please
Lady bird [3.3K]

Answer:

(X+2)(v-5)

Step-by-step explanation:

first, group and factor out the greatest common factor and combine to get (x+2)(v-5)

4 0
3 years ago
What is the product of (4x)(-3x^8)(-7x^3)
Semenov [28]

(4x)(-3x^8)(-7x^3)

4 (-3)(-7) = 84

x(-x^8)(-x^3) = x^(1 + 8 + 3) = x^12

Answer: 84x^12

4 0
4 years ago
Are rent rates influenced by the student population in a college town? Let rent be the average monthly rent paid on rental units
lyudmila [28]

Step-by-step explanation:

The regression equation is correctly written as:

log(rent) = β₀+β₁log(pop)+β₂log(avginc)+β₃pctstu+μ

1. this question requires us to State the null hypothesis that size of the student body relative to the population has no ceteris paribus effect on monthly rents.

<u>null hypothesis</u>

H₀ : β₃ = 0 (no effect exists)

<u>alternative that there is an effect.</u>

H₁ : β ≠ 0

2.

Due to increased demand when population is increased, the higher the number of people living in the city then there is a great likelihood that rent would increase. β1 will therefore be positive, all things being equal.

as average income rises, so also would rent as the people would have more money and therefore there would be increased demand for housing. This increase in demand would then cause a surge in the price of rent.  β₂ would therefore be positive .

the last question you posted is incomplete so i was unable to go ahead with it.

5 0
3 years ago
The Jayden family eats at a restaurant that is having a 15% discount promotion. Their meal costs $78.82 before the discount, and
Simora [160]

Answer:

they would have to pay $80.22

4 0
2 years ago
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