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Advocard [28]
3 years ago
9

Mrs. Barto has a pet rabbit and wants to build a pen for it. She has 3 pieces of lumber: one is 3 ft, one is 7 ft, and the other

is 8 ft long. Can she build a closed triangular pen with these three boards (will the boards form a triangle)?
Mathematics
1 answer:
sammy [17]3 years ago
6 0

Answer:

Yes, it is possible

Step-by-step explanation:

In a triangle, the length of the longest side of the triangle cannot be larger than the sum of the lenghts of the two shortest sides.

In formula, this means that:

c\leq a+b

where

c is the length of the longest side

a, b are the lengths of the shortest side

In this problem, we want to build a triangle using 3 pieces of lumber, each of length:

a = 3 ft

b = 7 ft

c = 8 ft

We can verify that the length of the longest piece of lumber is less than the sum of the lengths of the other two sides, so:

8\leq 3+7 = 10

Therefore, yes, it is possible to build a closed triangular pen.

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Samuel has an ant farm with a volume of 375 cubic inches. The width of the ant farm is 2.5 inches and the length is 15 inches. W
Alexxandr [17]

Answer:

Step-by-step explanation:

From the given information, it is clear that the shape of ant form is rectangular prism.

Let us write formula for volume of rectangular prism (ant form)

V = l x w x h

Use the formula to write an equation.

Plug V = 375, w = 2.5 and l = 15

375 = 15 x 2.5 x h

375 = 37.5 x h

Divide both sides of the equation by 37.5

375/37.5 = (37.5 x h)/37.5

10 = h

Hence, the height of the form is 10 inches.

6 0
3 years ago
Amir has RM565. He spent all his money buying b pieces of clothing which cost Rm70 per piece and k pairs of shoes which cost RM9
agasfer [191]

Answer:

70b+95k=565. I think it's like this

6 0
2 years ago
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nalin [4]

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5 0
2 years ago
22. A test was given to a group of students. The grades and gender are summarized below
drek231 [11]

Answer:

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Step-by-step explanation:

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qwelly [4]
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