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Oksanka [162]
3 years ago
13

Find the volume of the sphere .

Mathematics
1 answer:
mars1129 [50]3 years ago
8 0

Answer:

1436.8cm³

Step-by-step explanation:

Formula :

\frac{4}{3}  \times \pi \times r ^{3}

\frac{4}{3}  \times \pi \times 7^{3}

=1436.75504cm³

to 1dp

=1436.8cm³

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Two parallel lines are crossed by a transversal. What is the value of h? h = 60 h = 80 h = 100 h = 120
lisabon 2012 [21]
I added the diagram of the question.

<u><em>Answer:</em></u>
h = 60°

<u><em>Explanation:</em></u>
We are given that lines k and l are parallel lines.
This means that angles 120° and h are <u>supplementary angles</u>.
This means that their measures <u>add up to 180°</u>

<u>Therefore:</u>
180° = 120° + h
h = 180° - 120°
h = 60°

Hope this helps :)

8 0
3 years ago
Read 2 more answers
How do you find the dimensions of a cylinder (height, radius, diameter and area of the base) when you are given the volume of th
MariettaO [177]

Answer:

Step-by-step explanation:

the formula for a cylinder  is πr^2 x H

if it equals 10 to find the others you just need to do algebra

\pi r^{2} *h = 10

h =\frac{10}{\pi r^{2} }

r =\sqrt{\frac{\frac{10}{h} }{\pi }  }

to find diameter times it 2

<u />

6 0
4 years ago
A chain letter works as follows: One person sends a copy of the letter to five friends, each of whom sends a copy to five friend
Svetach [21]

Answer:

The number of  people that received copies of the letter at the twentieth stage is<em> 9.537 × 10¹³ </em>.

Step-by-step explanation:

Using the discrete model,

a_k = r a_(k-1) for all integers k ≥ 1 and a₀ = a

then,

aₙ = a rⁿ for all integers n ≥ 0

Let a_k be equal to the number of people who receive a copy of the chain letter at a stage k.

Initially, one person has the chain letter (which the person will send to five other people at stage 1). Thus,

a = a₀ = 1

The people who received he chain letter at stage (k - 1),  will send a letter to five people at stage k and thus per person at stage (k - 1), five people will receive the letter. Therefore,

a_k = 5 a_(k - 1)

Thus,

aₙ = a rⁿ = 1 · 5ⁿ = 5ⁿ

The number of  people that received copies of the letter at the twentieth stage is

<em>a₂₀ = (5)²⁰ = 9.537 × 10¹³ copies</em>

5 0
3 years ago
Find the center and radius of the circle with the equation: (x - 5)^2 + (y+1)^2 = 4
maw [93]

Answer:

(5 , -1)

radius = 2

Step-by-step explanation:

hope it helps

3 0
4 years ago
Read 2 more answers
"the sum of the digits of a two-digit number is 13. reversing the digits produces a number that is 9 less than the original numb
Ksenya-84 [330]
Suppose the one's digit is x, the ten's digit is y. the original number is 10y+x, the reversed number is 10x+y

x+y=13
(10x+y)=(10y+x)-9 =>9y-9x=9 =>y-x=1
Add the two equation to solve: 2y=14 =>y=7
x=13-7=6
the original number is 76. 


6 0
3 years ago
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