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3 years ago

Which of the following is a solution to this inequality? y>1/2x+2

Mathematics

1 answer:

Maurinko [17]3 years ago

5 0

The answer is C. (2,3)

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A sphere is inscribed in a cube with a volume of 64 cubic inches. What is the volume of the sphere? Round your answer to the nea

erma4kov [3.2K]

Answer:

the volume of the sphere is

$33.51 in^{3}$

Step-by-step explanation:

This problem bothers on the mensuration of solid shapes, sphere and cube.

Given data

Volume of cube v = 64 cubic inches

since we are dealing with a cube the height and the radius of the sphere is same as the sides of the cube,

we know that volume of cube is expressed as

$v= l*b*h$

$v=l^{3}$

$64= l^{3}$

$l= \sqrt[3]{64}$

$l= 4 in$

also diameter d=length l

Diameter d= $4in$

Radius r = $\frac{d}{2}$ = $\frac{4}{2}$ = ${2 in}$

Height h= $4in$

we know that the volume of a sphere is given by

$v= \frac{4}{3} \pi r^{3}$

substituting into the formula we have

$v= \frac{4}{3} \ *3.142*2^{3} \\v=\frac{4*3.142*8}3} \\v= \frac{100.54}{3} \\v= 33.52in^{3}$

8 0

2 years ago

3/8 of {38/5-1/3{5/4+10/3}×12/5

boyakko [2]

Answer:

1863/275=6.7745recurring

Step-by-step explanation:

Dont u have a calculator

8 0

3 years ago

A mathematician goes to his friend's house and asks his friend to guess the age of his three daughters:

bonufazy [111]

The ages are 3, 3, and 8

3 0

3 years ago

Hello I need help on this math question

Licemer1 [7]

Answer:

94.2 in squared

Step-by-step explanation:

lateral area plus area of both flat sides

37.68 + 2(3.14*3^2)

37.68 + 56.52 = 94.2 in squared

4 0

2 years ago

Algebra 1 help please

Zielflug [23.3K]

Short leg = ?
Long leg = 1/2x + 11
Hypotenuse = 2x + 1

For this you'd need to use the Pythagorean Theorem to find the short leg.

Pythagorean Theorem - a^2 + b^2 = c^2

3 0

3 years ago