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3 years ago

12

a box shaped like a rectangular prism has a length of 8 inches and a width of 8 inches. its volume is 512 cubic inches. what is

the height of the box

1 answer:

Roman55 [17]3 years ago

7 0

Answer:

8 inches

Step-by-step explanation:

the volume is length x width x height

so the equation would be 8 x 8 x (height) = 512

8x8 is 64, and you divide 512 by 64 which is 8

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Tickets for a concert cost $8 online plus a $3

mash [69]

Answer:

3 tickets

Step-by-step explanation:

8x+3 = 9x

x = 3

6 0

2 years ago

But, during the same summer, teachers stopped wearing high heels; each of them became 4% shorter. Copy and fill in the chart. Te

alexgriva [62]

Answer:

It is given that,

'When the teachers stopped wearing heels, they became 4% shorter'.

So, the relation becomes,

<em>Height without heels = Height with heels - 4% of height with heels</em>

Then, we have,

1. Ms. Mathey is 190 cm with heels.

So, Ms. Mathey = 190-4% of 190 = 190 - 7.6 = 182.4 cm without heels

2. Mrs. Meansy is 162.5 cm with heels.

So, Mrs. Meansy = 162.5-4% of 162.5 = 162.5 - 6.5 = 156 cm without heels

3. Ms. Cool is 140 cm with heels.

So, Ms. Cool = 140-4% of 140 = 140 - 5.6 = 134.4 cm without heels

Also, the relation can be written as,

<em>Height with heels = Height without heels + 4% of height without heels</em>

4. Miss Short is 155.1 cm without heels

So, Miss Short = 155.1+4% of 155.1 = 155.1+6.2 = 161.3 cm with heels

5. Miss Lora is 159.8 cm without heels

So, Miss Lora = 159.8+4% of 159.8 = 159.8+6.4 = 166.2 cm with heels

Thus, the final table is,

Height with Heels Height without Heels

Ms. Mathey 190 cm 182.4 cm

Mrs. Meansy 162.5 cm 156 cm

Ms. Cool 140 cm 134.4 cm

Miss Short 161.3 cm 155.1 cm

Miss Lora 166.2 cm 159.8 cm

8 0

3 years ago

How many times greater is the value 34.3 than the value 3.43? Explain your thinking

e-lub [12.9K]

It would 10 times great since 3.43 x 10= 34.3

3 0

3 years ago

If a projectile is fired with an initial speed of vo ft/s at an angle α above the horizontal, then its position after t seconds

Elena L [17]

Answer:

a) The bullet hits the ground after 64 seconds.

b) The bullet hits the ground 113,511.7 feet away.

c) The maximum height attained by the bullet is of 16,384 feet.

Step-by-step explanation:

Equations of motion:

The equations of motion for the bullet are:

$x(t) = (v_0\cos{\alpha})t$

$y(t) = (v_0\sin{\alpha})t - 16t^2$

In which $v_0$ is the initial speed and $\alpha$ is the angle.

Initial speed of 2048 ft/s at an angle of 30o to the horizontal.

This means that $v_0 = 2048, \alpha = 30$ .

So

$x(t) = (v_0\cos{\alpha})t = (2048\cos{30})t = 1773.62t$

$y(t) = (v_0\sin{\alpha})t - 16t^2 = (2048\sin{30})t - 16t^2 = 1024t - 16t^2$

(a) After how many seconds will the bullet hit the ground?

It hits the ground when $y(t) = 0$ . So

$1024t - 16t^2 = 0$

$16t^2 - 1024t = 0$

$16t(t - 64) = 0$

16t = 0 -> t = 0 or t - 64 = 0 -> t = 64

The bullet hits the ground after 64 seconds.

(b) How far from the gun will the bullet hit the ground?

This is the horizontal distance, that is, the x value, x(64).

$x(64) = 1773.62(64) = 113511.7$

The bullet hits the ground 113,511.7 feet away.

(c) What is the maximum height attained by the bullet?

This is the value of y when it's derivative is 0.

We have that:

$y^{\prime}(t) = 1024 - 32t$

$1024 - 32t = 0$

$32t = 1024$

$t = \frac{1024}{32} = 32$

At this instant, the height is:

$y(32) = 1024(32) - 16(32)^2 = 16384$

The maximum height attained by the bullet is of 16,384 feet.

7 0

3 years ago

What is 4/9 - 1/12 least common moltiple

levacccp [35]

Answer:

36

Step-by-step explanation:

The LCM of 4, 9, and 12 is the product of all prime numbers on the left, i.e. LCM(4, 9, 12) by division method = 2 × 2 × 3 × 3 = 36.

3 0

3 years ago

Read 2 more answers