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777dan777 [17]
3 years ago
14

A rectangular prism is 7 centimeters long, 5 centimeters wide, and 4 centimeters tall. Which values are the areas of cross secti

ons that are parallel to a face (or base) of the prism?
12 square centimeters
16 square centimeters
20 square centimeters
28 square centimeters
35 square centimeters
49 square centimeters
25 square centimeters
Mathematics
2 answers:
VladimirAG [237]3 years ago
3 0
Cross section is the area you make when you make a cut across a shape. In this case, the cut must be parallel to the base. Hence, the cut shape would be same to that of the base. The base's dimensions are 7 cm long x 5 cm wide. Thus, the cross section area is 35 square centimeters.
fgiga [73]3 years ago
3 0

20 square centimeters, 28 square centimeters, and 35 square centimeters.

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Evaluate the expression 4 × (3 + 52) ÷ 2. Show your work.
STatiana [176]

Answer:

110

Step-by-step explanation:

4 x ( 3+ 52) ÷ 2

4 x 55 ÷ 2

220 ÷ 2 = 110

4 0
3 years ago
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The measure of the exterior angle of the triangle is ___
mr_godi [17]

Answer: 114°

Step-by-step explanation:

<h2>Concept: </h2>

Here, we need to know the idea of the "Exterior Angle theorem".

<u>The exterior angle theorem</u> states that the measure of an exterior angle of a triangle is equal to the sum of the measures of the two opposite interior angles of the triangle.

If you are still confused, then refer to the attachment below for a graphical explanation.

<h2>Solve:</h2>

Given

24 + (2x + 18) = 3x + 6

Put like terms together

24 + 18 + 2x = 3x + 6

Combine like terms

42 + 2x = 3x + 6

Subtract 6 on both sides

42 + 2x - 6 = 3x + 6 - 6

36 + 2x = 3x

Subtract 2x on both sides

36 + 2x - 2x = 3x - 2x

x = 36

Exterior angle = 3x + 6 = 3(36) + 6 = 114°

Hope this helps!! :)

Please let me know if you have any questions

4 0
3 years ago
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What is the perimeter of the circle with a missing sector of 40% and a radius of 3? 16.74 units 18.84 units 2.09 units d 22.74 u
Sergio039 [100]

Answer:

11.3097335 seems to have nothing with the question so the answer is

B) 18.8495559

Step-by-step explanation:

to find the perimeter (circumference?) do 2pi(r)

2 pi 3 = pi 6 = 18.8495559

since there is 40 percent missing, multiply the perimeter by 60% (part not missing)

18.8495559 * 60%

11.3097335

8 0
3 years ago
A climber is on a hike. after 2 hours he is at an altitude of 400 feet. After 6 hours, he is at an altitude of of 700 feet. What
lora16 [44]

Answer:

75 feet per hour

Step-by-step explanation:

Here, you are essentially given two points on a graph, only they are not graphed. You can visualize (2, 400) and (6, 700), and use the rate of change formula to find the average rate of change.

Then, simplify until you arrive at your solution.

\frac{y_{2} -y_{1} }{x_{2} -x_{1}} =\frac{700-400}{6-2} =\frac{300}{4} = 75  feet per hour

8 0
3 years ago
9 - x = 6; x = 15 6x = 24; x = 6 35 = 5x; x = 7 x + 10 = 21; x = 31 <br> which one is right
ycow [4]

Answer:

35 = 5x ; x = 7

Step-by-step explanation:

plug 7 in for x

35 = 5(7)

35 = 35

hope this helps!!!

6 0
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