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3 years ago

Triangle RST is rotated 90° in a clockwise direction. What is the name of the image after the rotation?

1 answer:

7 0

When the triangle RST is rotated by <span>90° in a clockwise direction, the name of the image after the rotation would be SRT.

The reason you get a name like this is because you're not only rotating the triangle, you also rotating the letters along with the image.</span>

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Each side of a square is increased 3 inches. When this happens, the area is multiplied by 25. How many inches in the side of the

grin007 [14]

Answer:

s = 0.75 inches

Step-by-step explanation:

Let s = side length of the original square

s + 3 = side length of the new square

Area of a square = s²

A = s²

A = (s+3)²

A = s² + 6s + 9

Area multiplied by 25 = 25 * s²

So,

s² + 6s + 9 = 25s²

25s² - s² - 6s - 9 = 0

24s² - 6s - 9 = 0

8s² - 2s - 3 = 0

a = 8

b = -2

c = -3

s = -b ± √b² - 4ac / 2a

= -(-2) ± √(-2)² - 4(8)(-3) / 2(8)

= 2 ± √4 - (-96) / 16

= 2 ± √100 / 16

= 2 ± 10/16

s = 2 + 10/16 or 2-10/16

= 12/16 or -8/16

= 0.75 or -0.5

side length can not be negative

Therefore, s = 0.75

A = s²

A = (0.75)²

= 0.5625

A = (s+3)²

= (0.75+3)²

= 3.75²

= 13.95

3 0

3 years ago

Find the slope of the line shown

Oduvanchick [21]

Answer:

<h2>The slope m = -1</h2>

Step-by-step explanation:

Look at the picture.

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

From the graph we have the points (-5, 2) and (-3, 0). Substitute:

$m=\dfrac{0-2}{-3-(-5)}=\dfrac{-2}{2}=-1$

8 0

3 years ago

A rectangle is 3 times as long as it is wide, and its perimeter is 80 centimeters. Find its dimensions

Free_Kalibri [48]

Say the width is W and the length is L

L=3W (and of course W=W)

Now you use the perimeter formula P=2L+2W

80=2(3W) + 2W)

80=6W+2W

80=8W Divide both sides by 8

W=10

Now that you know the width, substitute it back into L=3W to find the length

L=3(10)

L=30

The dimensions are length: 30 cm and width: 10 cm

8 0

4 years ago

Pleaseee helppp answer correctly !!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!!!!!!

inna [77]

Answer:

2t+2u+2v+4w

Step-by-step explanation:

Add up all of the terms

8 0

3 years ago

Si mi disco duro tiene una capacidad de 1.5 Terabytes ¿ cuántas llaves de 32 Gigabits caben en ese disco duro?

Art [367]

Answer:

The number of 32 Gigabit keys that can be fitted on the hard drive is 375.

Step-by-step explanation:

The question is:

If my hard drive has a capacity of 1.5 Terabytes, how many 32 Gigabit keys can fit on that hard drive?

Solution:

1 Terabyte = 8000 Gigabits

Then 1.5 Terabytes in Gigabits is:

1.5 Terabytes = (8000 × 1.5) Gigabits

= 12000 Gigabits

One key is of 32 Gigabits.

Compute the number of 32 Gigabit keys that can be fitted on the hard drive as follows:

$\text{Number of 32 Gigabit keys}=\frac{12000}{32}=375$

Thus, the number of 32 Gigabit keys that can be fitted on the hard drive is 375.

4 0

4 years ago