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Step2247 [10]
3 years ago
7

The volume of a rectangular prism is 72 cubic centimeters. The prism is 2 centimeters wide and 4 centimeters high. What is the l

ength of the prism?
Mathematics
1 answer:
skelet666 [1.2K]3 years ago
6 0

Answer:

The length of prism is  <u>9 centimetres</u>.

Step-by-step explanation:

Given:

The volume of a rectangular prism is 72 cubic centimeters.

The prism is 2 centimeters wide and 4 centimeters high.

Now, to find the length of prism:

Let the length be l.

Width = 2 centimeters.

Height = 4 centimeters.

Volume = 72 cubic centimeters.

So, putting the formula to get the length of prism:

Volume = length\times width\times height

72=l\times 2\times 4

72=l\times 8

Dividing both sides by 8 we get:

9=l

Length = 9 centimetres.

Therefore, the length of prism is  9 centimetres.

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The angle of the elevation of the sun is 34 degrees. Find the length, l, of a shadow cast by a tree that is 53 feet tall. Round
gulaghasi [49]
\tan{34^o}= \frac{53}{x} &#10;\\&#10;\\x= \frac{53}{\tan{34^o}} &#10;\\&#10;\\x \approx 78.58

8 0
3 years ago
Need help doing this, please show steps. :)
Pavel [41]

Answer:

75.02 ft

Step-by-step explanation:

Split the problem into 2 different part. The bottom part of the tree is 5 feet because that's where your eye levels are, so you just have to solve the top part of the tree.

The top part of the tree is solved by finding the height of the triangle. If you remember SohCahToa, the opposite side of the angle is solved using tangent.

tan(angle) = opposite/adjacent

tan(35) = x/100,   x is just the unknown height of the tree.

multiply 100 on both side to get x by itself.

x = 100tan(35)

x = 70.02

add that top height of the tree(70.02ft) with the bottom height of the tree(5ft).

70.02+5 = 75.02 ft

6 0
3 years ago
Read 2 more answers
HELP FAST WILL MARK BRAINLEIST
ValentinkaMS [17]

Step-by-step explanation:

The given inequality is

10 + 5x \leqslant 35

Subtract 10 from both sides

5x \leqslant 35 - 10

5x \leqslant 25

Divide both sides by 5 to get:

x \leqslant 5

We draw a closed circle at 5 and draw the arrow to the left.

See it in the attachment.

3 0
3 years ago
What is the value of x to the nearest tenth?
lord [1]

check the picture below.


so x = b + b = √(180) + √(180).

4 0
3 years ago
Where does the graph of y = –3x – 18 intersect the x-axis?
Naya [18.7K]

Answer:

b) (-6, 0)

Step-by-step explanation:

The quickest method to use is to put "0" in for <em>y</em><em>,</em><em> </em>then figure out which term for <em>x</em> would make the equation authentic, or genuine.

5 0
3 years ago
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