Answer:
200 cm²
Step-by-step explanation:
Find the areas of all of the faces
17 × 2 = 34 (Top Face)
8 × 15 = 120 (Both Triangles)
15 × 3 = 30 (Bottom Face)
8 × 2 = 16 (Back Face)
Add them all together
120 + 34 + 30 + 16 = 200 cm²
<h2><em>If you put and label the three points in a line, you will see that RS + ST = RT.
</em></h2><h2><em>
</em></h2><h2><em>Then you only need to substitue with the expressions given for RS and ST to find RT.
</em></h2><h2><em>
</em></h2><h2><em>RT = x +1 + 2x - 2 = 3x - 1
</em></h2><h2><em>
</em></h2><h2><em>Also, RT = 5x - 5
</em></h2><h2><em>
</em></h2><h2><em>Then, 3x - 1 = 5x - 5
</em></h2><h2><em>
</em></h2><h2><em>5x - 3x = 5 - 1
</em></h2><h2><em>
</em></h2><h2><em>2x = 4
</em></h2><h2><em>
</em></h2><h2><em>x = 4/2 = 2
</em></h2><h2><em>
</em></h2><h2><u><em>X=2</em></u></h2>
Understand that a function<span> is a rule that assigns to each input exactly one output. The graph of a </span>function<span> is the set of ordered pairs consisting of an input and the corresponding output.</span>
Problem 37
<h3>Answer: B. 4 & 1/4 gallons</h3>
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Work Shown:
The 3/4 and 1/2 add up to (3/4)+(1/2) = (3/4)+(2/4) = 5/4 = 1&1/4
The whole part 1 is then added to the other whole parts 1 and 2 to get 1+2+1 = 4
Overall, the grand total is 4 & 1/4
An alternative way is to convert each mixed number to a decimal to get 1&1/2 = 1+1/2 = 1+0.5 = 1.5 and 2&3/4 = 2+3/4 = 2+0.75 = 2.75
Add up those decimals 1.5+2.75 = 4.25
then convert that result to a mixed number: 4.25 = 4+0.25 = 4+1/4 = 4&1/4
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Problem 38
<h3>Answer: C. Cubic feet</h3>
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The units for volume follow the template "Cubic _____" where you'll write "feet", "inches", "centimeters" or whatever unit you are using in the blank.
Some other examples:
* cubic miles
* cubic meters
* cubic yards
