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3 years ago

sarithas age is 3 times her sons age. ten years ago he was five times her sons age. find thier present age

Mathematics

1 answer:

Hunter-Best [27]3 years ago

8 0

Answer:

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Step-by-step explanation:

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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

2 years ago

Determine if the lines are parallel, perpendicular or neither y=-3/2x-4 and y=2/3x-7

aliya0001 [1]

Answer:

They are perpendicular

Step-by-step explanation:

Perpendicular lines have slopes that are negated versions of the other or positive versions of the slope of the other. The slopes are also flipped.

Parallel lines have the same slope.

Neither is when the lines do not follow either of these definitions.

The slope of your two lines are -3/2 and 2/3. These slopes are flipped and the opposite negations of each other. This means the lines are perpendicular.

4 0

3 years ago

What is the radius of a circle whose equation is x2 + (y – 8)2 = 25?

Dafna11 [192]

Use photo math :) and you will get your answer

8 0

3 years ago

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What is the slope of the line?

Sonbull [250]

Hi. The slope of the line is undefined, because it's vertical.

7 0

2 years ago

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A ship travels due west for 90 miles and turns to travel 80 miles in the northwest direction at a 120 degree angle. How far is t

adoni [48]

We breakdown the components of the distances.
(1) 90 miles west.
x - component = -90 miles
y - component = 0 miles
(2) 80 miles, northwest (120°)
x - component = (80 miles)*(sin 30°) = 40 miles (negative)
y - component =(80 miles)*(cos 30°) = 69.282 miles (positive)

Solve for the distance,
√(-90 - - 40)² + (69.282 miles)² = 147.31 miles

6 0

3 years ago