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3 years ago

How much fabric is needed to make a tent in the shape of a triangular prism with the following measures?

Mathematics

2 answers:

makvit [3.9K]3 years ago

5 1

Answer:

The fabric needs 196.4 ft²

Step-by-step explanation:

∵ The tent formed formed from 4 faces

two equilateral triangles with side length 7 ft

two rectangles with dimensions 11 ft and 7 ft

∵ Area equilateral Δ = 1/4 S²√3

∵ Area rectangle = L × W

∴ The area of the prism = 2 × 1/4 × (7)²√3 + 2 × 7 × 11

= 196.4 ft²

Note:

If you find the area of the triangle by the rule 1/2 × base × height

∴ Area Δ = 1/2 × (7) × 6 = 21 ft²

∴ Area tent = 2 × 21 + 2 × 77 = 196 ft²

Two answer very closed

ycow [4]3 years ago

4 0

Answer:

273 ft^2 (apparently you have to cover the ground)

Step-by-step explanation:

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The recycling bin in the shape of a rectangular prism is 15.5 inches long, 8 inches wide and 7 inches high. The recycling bins n

Viktor [21]

Answer:

694 cubic inches

Step-by-step explanation:

Dimension of prism

Length = 15.5 inches

width = 8 inches

height = 7 inches

Volume of regular prism is given by area of base * height

area of base = length * width ( as bin is rectangular)

area of base = 15.5 * 8 square inches = 124 square inches

Volume of regular prism = area of base * height

= 124 * 7 cubic inches = 868 cubic inches

_________________________________________________

868 cubic inches is the full capacity of the recycling bin

it is given that recycling bins need to be emptied when it is 80% full

so we need to find the 80% capacity of recycling bin

80% capacity of recycling bin = 80/100 * full capacity of the recycling bin

= 0.8 * 868 cubic inches = 694.4 cubic inches

694.4 cubic inches is the amount needed before the recycle bin is ready to empty .

But question says answer should in nearest cubic inch

hence answer is 694 cubic inches

3 0

3 years ago

Can someone help please?????

frutty [35]

The answer is 13 you have to add the top and bottom

8 0

3 years ago

the sum of four consecutive integers is 2174. what are the integers? (continuation) the smallest of four consecutive integers is

timofeeve [1]

The smallest of the four numbers is x.
Since the four numbers are consecutive, this means that each number is one more than the previous.
Therefore, the four numbers are:
x
x + 1
x+1 + 1 = x+2
x+2 + 1 = x+3

Now, we are given that the sum (s) of the four numbers is 2174
This means that:
s = x+x+1+x+2+x+3
s = 4x + 6

We are given that s = 2174. Substitute with s in the above equation and solve for x as follows:
2174 = 4x + 6
4x = 2174 - 6
4x = 2168
x = 2168 / 4
x = 542

Based on the above calculations, the four numbers are:
542, 543, 544 and 555

7 0

3 years ago

Read 2 more answers

One morning during the spring break, Jose ran 13 miles up hill in the rain. That afternoon Jose ran up the hill 3 2/3 faster whe

netineya [11]

Answer:

The answer to your question is 13 miles

Step-by-step explanation:

In the question is not mentioned the distance that Jose one during the afternoon, it is only mentioned that he ran faster than in the morning so we can imply that the distance was the same in both occasions, just he ran faster in the afternoon because there was no rain.

6 0

3 years ago

As the end of the term approached, Hakim became increasingly anxious about failing calculus and losing his scholarship His best

Alex787 [66]

Answer:

D.Appraisal support

Step-by-step explanation:

Social relationships are upheld through offering social supports with intention of being helpful to the receiver.It can be in form of emotional ., instrumental, informational and appraisal.

In emotional social support, the sender expresses his empathy, love and care to the receiver.Occurs when you give hope to a friend by offering a listening ear.

Instrumental social support involves offering a tangible help or service to the receiver.You can decide to perform dishes while your sister attends a salon appointment to fix her hair.

Informational support is all about giving advise, information and suggestions concerning the issue.

Appraisal social support is where you offer information vital for self-evaluation.For example, Hakim's best friend reminds Hakim that his performance in the previous Calculus exams was good so he should be positive about passing the final exam as it will cover similar topics.

6 0

3 years ago