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3 years ago

What is the volume of the sphere

Mathematics

1 answer:

Firdavs [7]3 years ago

3 0

Answer:

Formula for Volume=4/3 π r^3

Step-by-step explanation:

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PLease help with this fast

lilavasa [31]

It is B that your looking for

5 0

3 years ago

Read 2 more answers

Which equilibrium at one atmosphere pressure is correctly associated with Kelvin temperature at which it occur?a. ice-water equi

Lostsunrise [7]

Answer:

d. steam-water equilibrium at 373 K

Step-by-step explanation:

At one atmospheric pressure , the boiling point of water is 100°C or 273+100 = 373 K in kelvin temperature scale.

so at this temperature vapor pressure of water and steam are in equilibrium .

7 0

3 years ago

Fine length of BC on the following photo.

MrMuchimi

Answer:

$BC=4\sqrt{5}\ units$

Step-by-step explanation:

see the attached figure with letters to better understand the problem

step 1

In the right triangle ACD

Find the length side AC

Applying the Pythagorean Theorem

$AC^2=AD^2+DC^2$

substitute the given values

$AC^2=16^2+8^2$

$AC^2=320$

$AC=\sqrt{320}\ units$

simplify

$AC=8\sqrt{5}\ units$

step 2

In the right triangle ACD

Find the cosine of angle CAD

$cos(\angle CAD)=\frac{AD}{AC}$

substitute the given values

$cos(\angle CAD)=\frac{16}{8\sqrt{5}}$

$cos(\angle CAD)=\frac{2}{\sqrt{5}}$ ----> equation A

step 3

In the right triangle ABC

Find the cosine of angle BAC

$cos(\angle BAC)=\frac{AC}{AB}$

substitute the given values

$cos(\angle BAC)=\frac{8\sqrt{5}}{16+x}$ ----> equation B

step 4

Find the value of x

In this problem

$\angle CAD=\angle BAC$ ----> is the same angle

equate equation A and equation B

$\frac{8\sqrt{5}}{16+x}=\frac{2}{\sqrt{5}}$

solve for x

Multiply in cross

$(8\sqrt{5})(\sqrt{5})=(16+x)(2)\\\\40=32+2x\\\\2x=40-32\\\\2x=8\\\\x=4\ units$

$DB=4\ units$

step 5

Find the length of BC

In the right triangle BCD

Applying the Pythagorean Theorem

$BC^2=DC^2+DB^2$

substitute the given values

$BC^2=8^2+4^2$

$BC^2=80$

$BC=\sqrt{80}\ units$

simplify

$BC=4\sqrt{5}\ units$

7 0

3 years ago

A painter mix 98.7 gallons of blue paint with 67.05 gallons of red paint in a paint mixing machine how much total paint is in th

Nat2105 [25]

67.05 plus 9807 equals 165.75
There is 165.75 gallons of paint in the machein

6 0

3 years ago

A square is cut into three equal rectangles. How does the area of the square compare to the sum of the areas of the three rectan

ludmilkaskok [199]

Answer:

Step-by-step explanation:

If the square was split into 3 rectangles the 3 rectangles sum up to the square.

4 0

3 years ago