All categories

2 years ago

Which statement about the volume of the block of clay is true??

Mathematics

2 answers:

VashaNatasha [74]2 years ago

7 0

Answer:

Step-by-step explanation:

Leokris [45]2 years ago

6 0

Answer:

Step-by-step explanation:

You might be interested in

The value of y is directly proportional to the value of x. If y = 35 when x = 140, what is the value of y when x = 70?

antiseptic1488 [7]

Answer:

y = 17.5

Step-by-step explanation:

Use the direct proportion equation, y = kx

Plug in the x and y values to solve for k

y = kx

35 = k(140)

0.25 = k

Then, plug in the k value and given x value into the equation, and solve for y

y = kx

y = 0.25(70)

y = 17.5

5 0

3 years ago

Your brother has $2,000 saved for a vacation. His airplane ticket is $637. Write and solve an inequality to find out how much he

Talja [164]

Answer:

x ≤1363

Step-by-step explanation:

2,000-637 = 1363

x ≤1363

7 0

2 years ago

Read 2 more answers

The nakagin capsule tower has 140 modules and is 14 stories high if the modules were divided evenly among the number of stories

ArbitrLikvidat [17]

To determine the number of modules that is in each story, we simply divide the number of modules by the number of stories.
= 140 / 14
Simplifying,
= 10 modules / story
Therefore, by even distribution we note that there are 10 modules per story.

8 0

3 years ago

Find the volume and surface area of the composite figure. Give your answer in terms of π. HELP ASAP!!

NARA [144]

Answer:

Part 1) The volume of the composite figure is $620.7\pi\cm^{3}$

Part 2) The surface area of the composite figure is $273\pi\ cm^{2}$

$V=620.7\pi\cm^{3}, S=273\pi\ cm^{2}$

Step-by-step explanation:

Part 1) Find the volume of the composite figure

we know that

The volume of the figure is equal to the volume of a cone plus the volume of a hemisphere

Find the volume of the cone

The volume of the cone is equal to

$V=\frac{1}{3} \pi r^{2} h$

we have

$r=7\ cm$

Applying Pythagoras Theorem find the value of h

$h^{2}=25^{2} -7^{2} \\ \\h^{2}= 576\\ \\h=24\ cm$

substitute

$V=\frac{1}{3} \pi (7)^{2} (24)$

$V=392 \pi\cm^{3}$

Find the volume of the hemisphere

The volume of the hemisphere is equal to

$V=\frac{4}{6}\pi r^{3}$

we have

$r=7\ cm$

substitute

$V=\frac{4}{6}\pi (7)^{3}$

$V=228.7\pi\cm^{3}$

therefore

The volume of the composite figure is equal to

$392 \pi\cm^{3}+228.7\pi\cm^{3}=620.7\pi\cm^{3}$

Part 2) Find the surface area of the composite figure

we know that

The surface area of the composite figure is equal to the lateral area of the cone plus the surface area of the hemisphere

Find the lateral area of the cone

The lateral area of the cone is equal to

$LA=\pi rl$

we have

$r=7\ cm$

$l=25\ cm$

substitute

$LA=\pi(7)(25)$

$LA=175\pi\ cm^{2}$

Find the surface area of the hemisphere

The surface area of the hemisphere is equal to

$SA=2\pi r^{2}$

we have

$r=7\ cm$

substitute

$SA=2\pi (7)^{2}$

$SA=98\pi\ cm^{2}$

Find the surface area of the composite figure

$175\pi\ cm^{2}+98\pi\ cm^{2}=273\pi\ cm^{2}$

4 0

3 years ago

5 1/3 x 3 = write it's simplest form

kvv77 [185]

The answer 15.
Here is why

5 1/3 is 15/3 in improper fraction form.when u simplify it will be 5/1 which is 5.
Then multiply 5 by 3.

And there u go ,your answer is 15.

8 0

2 years ago