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3 years ago

Find the volume for each rectangular prism

Mathematics

2 answers:

Elden [556K]3 years ago

6 0

Answer: 385 cm

Step-by-step explanation: V= l*w*h

V= 7*5*11

= 385

-Dominant- [34]3 years ago

3 0

Answer:

385

Step-by-step explanation:

L=Length

W=Width

H=Height

L=7

W=11

H=5

7 x 11 x 5

7 x 11 = 77

77 x 5 = 385

Rearranging to check my work:

11 x 5 x 7

11 x 5 = 55

55 x 7 = 385

I was right.

Hope this answers your question.

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Doug hits a baseball straight towards a 15 ft high fence that is 400 ft from home plate. The ball is hit 2.5ft above the ground

Scorpion4ik [409]

Answer:

$125.4\ \text{m/s}$

Step-by-step explanation:

u = Initial velocity of baseball

$\theta$ = Angle of hit = $30^{\circ}$

x = Displacement in x direction = 400 ft

y = Displacement in y direction = 15 ft

$y_0$ = Height of hit = 2.5 ft

$a_y$ = g = Acceleration due to gravity = $32.2\ \text{ft/s}^2$

t = Time taken

Displacement in x direction

$x=u_xt\\\Rightarrow x=u\cos\theta t\\\Rightarrow t=\dfrac{x}{u\cos\theta}\\\Rightarrow t=\dfrac{400}{u\cos30^{\circ}}\\\Rightarrow t=\dfrac{400}{u\dfrac{\sqrt{3}}{2}}\\\Rightarrow t=\dfrac{800}{u\sqrt{3}}$

Displacement in y direction

$y=y_0+u_yt+\dfrac{1}{2}a_yt^2\\\Rightarrow y=y_0+u\sin\theta t+\dfrac{1}{2}a_yt^2\\\Rightarrow 15=2.5+u\sin30^{\circ}(\dfrac{800}{u\sqrt{3}})+\dfrac{1}{2}\times -32.2\times (\dfrac{800}{u\sqrt{3}})^2\\\Rightarrow \dfrac{400}{\sqrt{3}}-\dfrac{10304000}{3u^2}-12.5=0\\\Rightarrow 218.44=\dfrac{10304000}{3u^2}\\\Rightarrow u=\sqrt{\dfrac{10304000}{3\times218.44}}\\\Rightarrow u=125.4\ \text{m/s}$

The minimum initial velocity needed for the ball to clear the fence is $125.4\ \text{m/s}$

5 0

3 years ago

The length of a paper clip chain is directly proportional to the number of paper clips. If a chain with 65 paper clips has a len

Ghella [55]

Answer:

The length of a paper clip chain is directly proportional to the number of paper clips. If a chain with 65 paper clips has a length of 97.5 inches then the length of chain with 14 paper clips is 21 inches.

Solution:

Given that the length of a paper clip chain is directly proportional to the number of paper clips. Directly propotional means when the length of paper clip increases, then the number of paper clips also increases in same ratio.

Hence, by above definition, we get

$\frac{l_{1}}{l_{2}} = \frac{n_{1}}{n_{2}}$ ------- eqn 1

From question, for a chain with 65 paper clips has a length of 97.5 inches, we get

$l_{1} = 97.5 \text { and } n_{1} = 65$

Similarly, for a chain with 14 paper clips with length to be found, we get

$n_{2}=14 \text { and } l_{2} = ?$

Now by using eqn 1, we can calculate the length of 14 paper clips is,

$\frac{97.5}{65}=\frac{l_{2}}{14}$

Rearranging the terms we get,

$l_{2 }= \frac{97.5 \times 14}{65}$

$l_{2}=21 \text { inches }$

Hence the length of chain with 14 paper clips is 21 inches.

3 0

3 years ago

Observe the sequences below. I. 3, 6, 9, 12, ... II. 3, 9, 27, 81, III. 2, 4, 8, 16, ... IV. 3, 5, 7, 9, Which of these are geom

Sholpan [36]

Observe the sequences below. I. 3, 6, 9, 12, ... II. 3, 9, 27, 81, III. 2, 4, 8, 16, ... IV. 3, 5, 7, 9, Which of these are geometric sequences? III only O Il and me II and IV O I and

3 0

2 years ago

Question 18 of 25 What is tan 45°?

Artist 52 [7]

Answer:

Tan 45° = 1.

it is always one.

5 0

2 years ago

A box contains 5 red marbles, 6 white marbles, and 4 blue marbles. find p(red or blue)

Stells [14]

for the red it is 5out of 15 or 3/5

and for the blue it is 4/15

and if it wants it together it is 9/15 or 3/5

hope this helps

3 0

3 years ago

Read 2 more answers