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hjlf
2 years ago
9

EASY !! Pls Answer!! I’ll mark you as the brainiest!!

Mathematics
1 answer:
hoa [83]2 years ago
5 0

Given:

The diameter of a sphere is 19 cm.

To find:

The volume of the sphere.

Solution:

We have,

Diameter=19\text{ cm}

Radius=\dfrac{19}{2}\text{ cm}

The volume of the sphere is

V=\dfrac{4}{3}\pi r^2

where, r is radius.

Putting \pi=\dfrac{22}{7}, r=\dfrac{19}{2} in the above formula.

V=\dfrac{4}{3}\times \dfrac{22}{7}\times (\dfrac{19}{2})^3

V=\dfrac{4}{3}\times \dfrac{22}{7}\times \dfrac{19}{2}\times \dfrac{19}{2}\times \dfrac{19}{2}

V=\dfrac{75449}{21}

V=3592.80952

V\approx 3592.8

Therefore, the volume of the sphere is 3592.8 sq. cm.

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Simplify the following completely, show all work. √-45
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Answer:

3\sqrt{5}i

Step-by-step explanation:

\sqrt{-45}

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\sqrt{-9}\sqrt{5}

3i\sqrt{5}

3\sqrt{5}i

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the area of a rectangle is 28 ft squared, and the length of the rectangle is 5 ft less than 3 times the width. find the length a
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Examine the system of equations.
SashulF [63]

Answer:

y=11

Step-by-step explanation:

Solve the system by substitution by setting the equations equal to each other.

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6 0
2 years ago
Read 2 more answers
"Lito had some marbles. He gave ½ of his marbles plus 1 to Felix, ½ of the remaining marbles plus 1 to Ces, and ½ of the last re
Nuetrik [128]

let

x-------> total amount of marbles at the beginning


we know that

1) He gave ½ of his marbles plus 1 to Felix

(1/2)*x+1=(x+2)/2 (Felix's marbles)

remaining=x-[(x+2)/2]-----> [2x-x-2]/2------> (x-2)/2


2)½ of the remaining marbles plus 1 to Ces

(1/2)*[(x-2)/2]+1=[(x-2)/4]+1-----> (x+2)/4 (Ce's marbles)

remaining=[(x-2)/2]-[(x+2)/4]-----> [2x-4-x-2]/4------> (x-6)/4


3) ½ of the last remaining marbles plus 1 to Pedro

(1/2)*[ (x-6)/4]+1=[(x-6)/8)+1------> (x+2)/8 (Pedro's marbles)

remaining=[(x-6)/4]-[(x+2)/8]------> [2x-12-x-2]/8-----> (x-14)/8


4)If Lito had 1 marble left for himself

so

the last remaining is equal to 1

(x-14)/8=1-----> x-14=8------> x=22 marbles


Verify

(x+2)/2 (Felix's marbles)------> (22+2)/2=12

(x+2)/4 (Ce's marbles)------> (22+2)/4=6

(x+2)/8 (Pedro's marbles)---> (22+2)/8=3

Lito's marbles------------------> 1

total=12+6+3+1=22--------> is ok


therefore


the answer is

the total amount of marbles at the beginning was 22

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