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3 years ago

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Rectangle ABCD has vertices A(1, 2) , B(4, 2) , C(1, −2) , and D(4, −2) . A dilation with a scale factor of 6 and centered at th

e origin is applied to the rectangle.
Which vertex in the dilated image has coordinates of (24, 12)

A.A′

B.B′

C.C′

D.D′

2 answers:

iogann1982 [59]3 years ago

8 0

B because its ratio matches the (4,2)

Strike441 [17]3 years ago

5 0

Answer:

B.B′

Step-by-step explanation:

In a dilation, the coordinates of each point are multiplied by the scale factor.

For a point to have an image at (24, 12) with a scale factor of 6, we would have begun at

(24/6, 12/6) = (4, 2)

These are the coordinates of B, so the image point would be B'.

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a rectangular prism with a volume of 10 cubic units is filled with cubes with side lenghts of 1/2 unit how many 1/2 unit cubes d

Pachacha [2.7K]

Answer:

Step-by-step explanation:

The volume of a cube is

V=s^3, we are told the volume is 10u^3 and that it will be filled with cubes having a side of 1/2 so

n(1/2)^3=10, where n will be the number of these small cubes

n(1/8)=10 upon multiplying each side by 8

n=80

So it will take 80 cubes of side length 1/2 to have a volume equal to 10u^3

6 0

2 years ago

Please help thanks so much

Umnica [9.8K]

The formula for the volume of a sphere is the following:

$V= \dfrac{4}{3} \pi r^3$

Plug in V=5000π and solve for the radius.

$5000 \pi = \dfrac{4}{3} \pi r^3$

Divide both sides by $\pi$

$5000 = \dfrac{4}{3} r^3$

Multiply both sides by 3/4 (to eliminate the 4/3 on the right side)
Also, flip the equation so we have the unknown variable on the left side (math etiquette).

$r^3=3750$

Take the cube root of both sides

$r \approx 15.5$

Now, calculate the surface area since now we know the radius.
The formula for the surface area is the following:

$S=4 \pi r^2$

Plug in r=15.5

$S \approx 3033$

The second choice is your answer.

5 0

2 years ago

AveGali [126]

Answer:

Total time taken by walking, running and cycling = 22 minutes.

Step-by-step explanation:

Let the speed of walking = x

As given,

The distance of walking = 1

Now,

As $Time = \frac{Distance }{Speed}$

⇒ Time traveled by walking = $\frac{1}{x}$

Now,

Given that - He runs twice as fast as he walks

⇒Speed of running = 2x

Also given distance traveled by running = 1

Time traveled by running = $\frac{1}{2x}$

Now,

Given that - he cycles one and a half times as fast as he runs.

⇒Speed of cycling = $\frac{3}{2}$ (2x) = 3x

Also given distance traveled by cycling = 1

Time traveled by cycling = $\frac{1}{3x}$

Now,

Total time traveled = Time traveled by walking + running + cycling

= $\frac{1}{x}$ + $\frac{1}{2x}$ + $\frac{1}{3x}$

= $\frac{6+3+2}{6x} = \frac{11}{6x}$

If he cycled the three mile , then total time taken = $\frac{1}{3x}$ + $\frac{1}{3x}$ + $\frac{1}{3x}$ = x

Given,

He takes ten minutes longer than he would do if he cycled the three miles

⇒x + 10 = $\frac{11}{6} x$

⇒ $x - \frac{11}{6} x = -10$

⇒ $-\frac{5}{6}x = -10$

⇒x = $\frac{60}{5}$ = 12

⇒x = 12

∴ we get

Total time traveled by walking + running + cycling = $\frac{11}{6} x = \frac{11}{6} (12) = 11 (2) = 22$ min

7 0

2 years ago

Algebra 1 help! •giving brainliest!

Alexxx [7]

Compound interest:

$A=P\left(1+\dfrac rn\right)^{nt}$

where $P$ is the amount you start with, $r$ is the interest rate, $n$ is the number of times interest is compounded per year, and $t$ is amount of time that passes.

$4272\left(1+\dfrac{0.12}1\right)^{1\times3}=4272\times1.12^3\approx6001.85$

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3 years ago

Stan made 14 of 20 free throws in basketball practice. Predict the number of free throws he would make if he attempted 100 free

Scilla [17]

Answer:

okay, so you put 14/20 as a fraction, and find out the percent. that is 70%. then you find 70% of 100, which is 70.

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2 years ago