3. Solve for x and y. T 16 80° у to 46

How do i find the volume of these similar solids? round to the nearest tenth HELP

FromTheMoon [43]

Answer:

The volume of the larger solid is $592.6\ mm^3$

Step-by-step explanation:

The question is

If these solids are similar, find the volume of the larger solid

step 1

Find the scale factor

we know that

If two solids are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor

Let

x ----> the height of the larger solid in mm

y ----> the height of the smaller solid in mm

z ---> the scale factor

$z=\frac{x}{y}$

we have

$x=4\ mm\\y=3\ mm$

substitute

$z=\frac{4}{3}$ ---> scale factor

step 2

Find the volume of the larger solid

we know that

If two solids are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube

Let

x ----> the volume of the larger solid in cubic millimeters

y ----> the volume of the smaller solid in in cubic millimeters

z ---> the scale factor

$z^3=\frac{x}{y}$

we have

$z=\frac{4}{3}$

$y=250\ mm^3$

substitute the values

$(\frac{4}{3})^3=\frac{x}{250}$

solve for x

$(\frac{64}{27})=\frac{x}{250}$

$x=250(\frac{64}{27})$

$x=592.6\ mm^3$

4 0

3 years ago

PLEASE HELP ASAP WILL GIVE BRAINLEIST !!

Nikitich [7]

Answer:

Step-by-step explanation:

Lenny had a rectangular deck that was 12 feet by 14 feet he wants to increase the length and width by the same amount and at 120 square feet to the total area what's the answer

5 0

3 years ago

2. The sum of two numbers is 51 and the greater number is twice the smaller number. Find the numbers aj set up the variables (2

storchak [24]

Answer:

Larger number = 34

Smaller number = 17

Step-by-step explanation:

Given that:

Sum of numbers = 51

Let,

x be the larger number

y be the smaller number

According to given statement;

x+y=51 Eqn 1

x = 2y Eqn 2

Putting x=2y in Eqn 1

2y+y=51

3y=51

Dividing both sides by 3

$\frac{3y}{3}=\frac{51}{3}\\y=17$

Putting y=17 in Eqn 2

x=2(17)

x=34

Hence,

Larger number = 34

Smaller number = 17

7 0

3 years ago

Mrs. Brown has 7 more boys than girls in her class and has a total of 29 students. Which of the following systems of equations c

BigorU [14]

Answer:

B = G + 7 and B + G = 29

Step-by-step explanation:

Let B = boys and G = girls. There are 7 more boys then girls. Set the equation:

B = G + 7

There are 29 students in total. Set the boys and girls equal to the total amount:

B + G = 29

B = G + 7 and B + G = 29 is your answer.

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5 0

2 years ago

Suppose a scientist puts a colony of bacteria weighing 1 gram in a large container. Assume that these bacteria reproduce in such

DedPeter [7]

Answer:

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5 0

3 years ago