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2 years ago

9

The perimeter of a square is 192 centimeters. If the square is dilated by a scale factor of 0.25, what is the length of each sid

e of the new square?

1 answer:

Ulleksa [173]2 years ago

6 0

Answer:

60cm

Step-by-step explanation:

perimeter of a square=4L

192cm=4L

L=48cm

Dilated by ratio 0.25

1 : 0.25 = 48 : 12

New length = 48+12 = 60cm.

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ANSWER FOR BRAINLEST

ra1l [238]

Answer:

20π or 62.8

Step-by-step explanation:

Volume of a cone = 1/3πr²h

1/3(π)(2)²9

= 12π or 37.7

Volume of a hemisphere = 2πr²/3

2(π)(2)²

= 8π or 25.1

Total Volume = 20π or 62.8

6 0

3 years ago

Sloan [31]

Triangle ABC is similar to triangle DEC, ∠B ≅ ∠E and 3DE = 2BC

<h3>What is transformation?</h3>

Transformation is the movement of a point from its initial location to a new location. Types of transformation are <em>rotation, reflection, translation and dilation.</em>

Dilation is the increase or decrease in the size of a figure by a scale factor.

Right triangle ABC is reflected over AC, then dilated by a scale factor of 2/3 to form triangle DEC, hence:

Triangle ABC is similar to triangle DEC, corresponding angles are congruent (∠B ≅ ∠E) and DE = (2/3)BC i.e. 3DE = 2BC

Find out more on transformation at: brainly.com/question/4289712

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7 0

2 years ago

1)Sheyna drive to the lake and back. It took two hours less time to get there than it did to get back. The average speed on the

ipn [44]

Answer:

8 hours

Step-by-step explanation:

Given:

Sheyna drives to the lake with average speed of 60 mph and

$v_1 = 60\ mph$

Sheyna drives back from the lake with average speed of 36 mph

$v_2 = 36\ mph$

It took 2 hours less time to get there than it did to get back.

Let $t_1$ be the time taken to drive to lake.

Let $t_2$ be the time taken to drive back from lake.

$t_2-t_1 = 2$ hrs ..... (1)

To find:

Total time taken = ?

$t_1+t_2 = ?$

Solution:

Let D be the distance to lake.

Formula for time is given as:

$Time =\dfrac{Distance}{Speed }$

$t_1 = \dfrac{D}{60}\ hrs$

$t_2 = \dfrac{D}{36}\ hrs$

Putting in equation (1):

$\dfrac{D}{36}-\dfrac{D}{60} = 2\\\Rightarrow \dfrac{5D-3D}{180} = 2\\\Rightarrow \dfrac{2D}{180} = 2\\\Rightarrow D = 180\ miles$

So,

$t_1 = \dfrac{180}{60}\ hrs = 3 \ hrs$

$t_2 = \dfrac{180}{36}\ hrs = 5\ hrs$

So, the answer is:

$t_1+t_2 = \bold{8\ hrs}$

8 0

3 years ago

② The complement of an<br> angle. is 10 more<br> than 3 times the<br> angle. Find both

Mrac [35]

Let x be the angle. The complement is 3x + 10. The sum of two complementary angles is 90. So,
x + 3x + 10 = 90
4x + 10 = 90
4x = 80
x = 20
Plug x into the complement
3(20) + 10 = 70

The angle is 20 degrees and the complement is 70 degrees

4 0

3 years ago

Cost per mile is calculated by dividing total cost by total miles. Using the notation P = cost per mile, C = total cost, and M =

lutik1710 [3]

Cost per mile P- total cost (C) divided by total miles (M).
P= C/M

6 0

3 years ago

Read 2 more answers