Break the shape into 2 along the perforated line. now you have two rectangular prisms. find the volume of each and add them together to get your answer.
Rectangular prism: length*width*height
RP1) 10*8*14=1120
RP2) 10*10*8=800
total: 1920
He needs 160 5-star reviews in a role. We can write a function to solve this problem. His current total stars is 4.4*160=704. Suppose he needs x more 5-star reviews, then his total stars will be 704+5x. 160+x is the new number of reviews, and the new average will be 4.7, so 4.7*(160+x)=704+5x. The solution is 160. Besides, if you want to get the answer really fast, you can see that 4.7 is right in the middle of 4.4 and 5, so you can immediately guess that the number of new 5-star reviews should be equal to the number of current reviews.
The correct order would be:
5/64 x 3, 1/16 x 3, 3/32 x 4, 11/64 x 4, 7/16 x 3, 3/4 x 2, 3/8 x 4, 1 7/8 x 4, 2.25 x 2, 1.5 x 4, 3 3/8 x 3, 3.75 x 3
First we have to take all of the numbers and do the multiplication. It's often easiest to turn them in to decimals so that you have a common form.
3/32 x 4 = 3/8 = .375
3/4 x 2 = 3/2 = 1.5
1 7/8 x 4 = 15/4 = 3.75
2.25 x 2 = 4.5
1.5 x 4 = 6
3/8 x 4 = 3/2 = 1.5
5/64 x 3 = 5/32 = .156
3.75 x 3 = 11.25
1/16 x 3 = 3/16 = .1875
7/16 x 3 = 21/16 = 1.31
3 3/8 x 3 = 81/8 = 10.125
11/64 x 4 = 11/16 = .687
Now we can use those to put in order.
5/64 x 3 = 5/32 = .156
1/16 x 3 = 3/16 = .1875
3/32 x 4 = 3/8 = .375
11/64 x 4 = 11/16 = .687
7/16 x 3 = 21/16 = 1.31
3/4 x 2 = 3/2 = 1.5
3/8 x 4 = 3/2 = 1.5
1 7/8 x 4 = 15/4 = 3.75
2.25 x 2 = 4.5
1.5 x 4 = 6
3 3/8 x 3 = 81/8 = 10.125
3.75 x 3 = 11.25
Which if you are looking for without the extra terms, you can check the answer at the top.
<em>Answer</em><em>:</em><em> </em><em>3</em><em>7</em>
<em>Step</em><em> </em><em>by</em><em> </em><em>step</em><em> </em><em>explanation</em><em>:</em>
<em>y</em><em>+</em><em>2</em><em>9</em><em>+</em><em>4</em><em>0</em><em>+</em><em>2</em><em>y</em><em>=</em><em>1</em><em>8</em><em>0</em><em>°</em><em>(</em><em> </em><em>sum</em><em> </em><em>of</em><em> </em><em>angle</em><em> </em><em>in</em><em> </em><em>stra</em><em>ight</em><em> </em><em>line</em><em>)</em>
<em>or</em><em>,</em><em> </em><em>y</em><em>+</em><em>2</em><em>y</em><em>+</em><em>2</em><em>9</em><em>+</em><em>4</em><em>0</em><em>=</em><em>1</em><em>8</em><em>0</em><em>°</em>
<em>or</em><em>,</em><em>3</em><em>y</em><em>+</em><em>6</em><em>9</em><em>=</em><em>1</em><em>8</em><em>0</em>
<em>or</em><em>,</em><em>3</em><em>y</em><em>=</em><em>1</em><em>8</em><em>0</em><em>-</em><em>6</em><em>9</em>
<em>or</em><em>,</em><em>3</em><em>y</em><em>=</em><em>1</em><em>1</em><em>1</em>
<em>or</em><em>,</em><em>y</em><em>=</em><em>1</em><em>1</em><em>1</em><em>/</em><em>3</em>
<em>y</em><em>=</em><em>3</em><em>7</em>
<em>hope</em><em> </em><em>it</em><em> </em><em>helps</em>
<em>Good</em><em> </em><em>luck</em><em> on</em><em> your</em><em> assignment</em>
