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3 years ago

Help please ........

Mathematics

1 answer:

Nitella [24]3 years ago

5 0

Answer:

Step-by-step explanation:

eh too lazy to explain but plz trust me

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A prism with a base area of 8 cm² and a height of 6 cm is dilated by a factor of 54 . What is the volume of the dilated prism? E

Aliun [14]

Question:

A prism with a base area of 8 cm² and a height of 6 cm is dilated by a factor of 5/4 .

What is the volume of the dilated prism?

Enter your answer, as a decimal, in the box.

Answer:

The volume of the dilated prism is $93.75 \ {cm}^{3}$

Explanation:

A prism with a base area of 8 cm² and a height of 6 cm

The volume of the prism can be determined by the formula, $V=Bh$

Volume of the prism is given by

$V=Bh$

$V=(8)(6)$

$V=46\ cm^3$

Thus, the volume of the prism is $46 \ {cm}^{3}$

It is also given that the volume of the dilated prism is dilated by a factor of $\frac{5}{4}$

Hence, the new volume is given by

$Volume = 48(\frac{5}{4} )^3$

$=48(\frac{125}{64} )$

$=48(1.953125)$

$=93.75 \ {cm}^{3}$

Thus, the volume of the dilated prism is $93.75 \ {cm}^{3}$

3 0

3 years ago

A town’s population went from 35,000 to 42,000 in 3 years. What was the percent of change?

dolphi86 [110]

Answer:

The population changed by 20% in 3 years

Step-by-step explanation:

The percentage change, is given by the following equation;

$Percentage \ change = \dfrac{Final \ value - Initial \value }{Initial \ value} \times 100$

The given parameters are;

The initial population of the town = 35,000

The final population of the town = 42,000

The percentage change in the population is therefore;

$Percentage \ change \ in \ population= \dfrac{42,000 - 35,000 }{35,000} \times 100 = 20 \%$

The population changed (increase) by 20% in 3 years.

3 0

3 years ago

Find the solution to the system of equations.

Feliz [49]

Solution to the system of equation (-2,5)

8 0

3 years ago

Please no one is helping me I truly need help pls

vampirchik [111]

Answer:

104 cm^3

Step-by-step explanation:

2(1/2(6*4))+2(1/2(4*10)+(4*10)

2(1/2(24)+(2(1/2(40)+(40)

2(12)+2(20)+40

24+40+40

104 CM^3

3 0

3 years ago

Hey guys! Can you simplify this? Be sure to show your work so i know you aren't guessing! Also remember when you answer a questi

Svetlanka [38]

Answer:

x≤−11

Step-by-step explanation:

−99≥18x−9x

−99≥9x

−

≥x

−11≥x

x≤−11

5 0

3 years ago