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bogdanovich [222]

3 years ago

14

Given a dilation where k=2, would the image be an enlargement or a reduction?

1 answer:

stepan [7]3 years ago

5 0

For this case we have the following possible cases:

Case 1:
If the scale factor meets 0 <k <1 then the original figure shows a reduction.

Case 1:
If the scale factor complies with k> 1 then, the original figure presents an expansion.

In this case, the scale factor is:
k = 2 (k> 1)
Therefore, the figure presents an expansion.

Answer:
b) Enlargement

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Mariana [72]

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A boat uses two pontoons to float. Each pontoon consists of a cylinder with a hemisphere at each end, as shown. Find the total v

zubka84 [21]

Answer:

$Total \approx 20ft^3$

Step-by-step explanation:

Given

$h = 12ft$ --- height of the cylinder

$d =1ft$ --- the diameter of the hemispheres at both end and the cylinder

See attachment for pontoon

Required

Determine the volume

First, calculate the radius (r)

$r = \frac{1}{2} * d$

$r = \frac{1}{2} * 1ft$

$r = 0.5ft$

Next, the volume of the cylinder

$V_1 = \pi r^2h$

$V_1 = 3.14 * 0.5^2 * 12$

$V_1 = 9.42ft^3$

Two hemispheres make up a sphere. So, we simply calculate the volume of a sphere.

$V_2 = \frac{4}{3}\pi r^3$

$V_2 = \frac{4}{3} * 3.14* 0.5^3$

$V_2 = 0.52ft^3$

So, the volume of 1 pontoon is:

$V_3 = V_1 + V_2$

$V_3 = 9.42ft^3 + 0.52ft^3$

$V_3 = 9.94ft^3$

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3 0

2 years ago

How could you use the distributive property to rewrite the expression -(8+12)

san4es73 [151]

Answer:

By using the distributive property we can rewrite the given expression -(8+12) as -8-12

Step-by-step explanation:

Given expression is -(8+12)

To use the distributive property to rewrite the given expression :

-(8+12)

=(-1)(8)+(-1)(12) ( using the distributive property a(x+y)=ax+ay here a=-1 ,x=8 and y=12 )

=-8-12

=-20

Therefore by using the distributive property we can rewrite the given expression -(8+12) as -8-12

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Answer:

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Step-by-step explanation:

The answer would be 36 :)

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liq [111]

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