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Serjik [45]
2 years ago
12

What is the ratio for the surface areas of the rectangular prisms shown below,

Mathematics
1 answer:
lawyer [7]2 years ago
5 0
Calculating surface area
Big Prism-
7*14*2=196
7*21*2=294
14*21*2=588
196+294+588=1078

Small prism
3*6*2=36
3*9*2=54
6*9*2=108
36+54+108=198

1078:198
Simplify(divide by common factors)
(Divide2)
539:99
(Divide 11)
49:9

C is your answer

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Quadrilateral QRST is a rectangle. RT = 5x + 1 and QS = 6x – 3. Find QS.
Kaylis [27]

Answer:

21.

Step-by-step explanation:

RT and QS are diagonals of the rectangle and are equal in length.

5x + 1 = 6x - 3

-x = -4

x = 4

So QS = 6(4) - 3

= 21.

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Answer:

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Answer:

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Step-by-step explanation:

since m ||n

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3 years ago
Describe lengths of three segments that could not be used to form a triangle. Segments with lengths of 5 in., 5 in., and ______
Vesna [10]

Answer:

c = 11

Step-by-step explanation:

Given

Let the three sides be a, b and c

Such that:

a = b= 5

Required

Find c such that a, b and c do not form a triangle

To do this, we make use of the following triangle inequality theorem

a + b > c

a + c > b

b + c > a

To get a valid triangle, the above inequalities must be true.

To get an invalid triangle, at least one must not be true.

Substitute: a = b= 5

5 + 5 > c ===> 10 > c

5 + c > 5  ===> c > 5 - 5 ===> c > 0

5 + c > 5  ===> c > 5 - 5 ===> c > 0

The results of the inequality is: 10 > c and c > 0

Rewrite as: c > 0 and c < 10

0 < c < 10

This means that, the values of c that make a valid triangle are 1 to 9 (inclusive)

Any value outside this range, cannot form a triangle

So, we can say:

c = 11, since no options are given

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