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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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What can probabilities be written as?

vredina [299]

Answer:

Probabilities can be written as fractions, ratios, or as a percentage.

Step-by-step explanation:

If someone asks to flip a coin for heads or tails it has a probability of 1:2, 1/2, or 50% to land on either sides.. They all mean the same value.

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3 years ago

Evaluate the surface integral S F · dS for the given vector field F and the oriented surface S. In other words, find the flux of

slega [8]

<span>Let r(x,y) = (x, y, 9 - x^2 - y^2)

So, dr/dx x dr/dy = (2x, 2y, 1)

So, integral(S) F * dS
= integral(x in [0,1], y in [0,1]) (xy, y(9 - x^2 - y^2), x(9 - x^2 - y^2)) * (2x, 2y, 1) dy dx
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6 0

3 years ago

Data is collected to perform the following the hypothesis test:

nekit [7.7K]

Answer:

option f is right

Step-by-step explanation:

Given that data is collected to perform the following hypothesis test.

$H_0: \mu = 5.5\\H_a: \mu >5.5$

(right tailed test)

Sample mean = 5.4

p value = 0.1034

when p value = 0.1034 we normally accept null hypothesis. i.e chances of null hypothesis true is the probability of obtaining test results at least as extreme as the results actually observed during the test, assuming that the null hypothesis is correct

f) If the mean µ does not differ significantly from 5.5 (that is, if the null hypothesis is true), then the probability of obtaining a sample mean y as far or farther from 5.5 than 5.4 is .1034.

5 0

3 years ago

What expression is equivalent to -2x + 7

NARA [144]

I think that’s the answer

3 0

3 years ago

Help! This is due today!

bulgar [2K]

Answer:

27π

Step-by-step explanation:

area of circle = πr^2

= π × 6^2

= 36π

36/4

= 9

36 - 9

= 27π units squared

4 0

3 years ago