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Julli [10]
3 years ago
6

This unit focused, in part, on relationships in triangles. A triangle is the simplest type of polygon and is frequently used in

construction. Explain why triangles are often used to build bridges, roofs, buildings, and other structures. Which properties of a triangle make it a desirable geometric shape for these applications?
Mathematics
2 answers:
Sergeeva-Olga [200]3 years ago
7 0

Answer:

Triangles have been used extensively throughout history in construction due to their rigid shape and strength. Unlike a square, that can shift into a parallelogram when force is applied to one of its sides, an equilateral triangle's sides and angles are fixed.

Due to the rigidness of the triangle's shapes, high amounts of forces can be sustained without deformation. Triangles are often used as trusses in bridges, or other support structures in buildings. They can easily be fit together to provide strength and stability over a wide area. The most famous triangles in structures are the pyramids of Egypt, which are the largest pyramids in the world.

Step-by-step explanation:

Triangles are used in structures because a triangle is a very stable shape that cannot be stretched or squashed easily - unlike rectangles which can easily become parallelograms. It's angles are used to balance weight of any structure.

Contact [7]3 years ago
6 0

Answer:

Step-by-step explanation:

Because of their shape triangles  are stable and strong. Weight is evenly distributed  through a triangular structure when force is applied and the triangle retains its shape.

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Vlad [161]

Answer:

Step-by-step explanation:

angles x, 2x, and 23.7 add up to 180 degrees

x + 2x + 23.7 = 180

3x + 23.7 = 180

subtract 23.7 on both sides

3x + 23.7 - 23.7 = 180 - 23.7

3x = 156.3

divide both sides by 3

x = 52.1

Angle C is a straight line = 180 degrees

Angle B is found by adding 32.5 and x, and subtracting it from 180 degrees (since three angles in a triangle must add up to 180)

we found x = 52.1 degrees

so angle B = 180 - 32.5 - 52.1 = 95.4 degrees

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5 0
3 years ago
I need help please!
kirill115 [55]

Answer:

0.0466

Step-by-step explanation:

For a random variable X which follows a binomial distribution:

n = 7\\p = 0.35

Thus,

P(X=5)={7\choose5}(0.35)^5(1-0.35)^{7-5}\\P(X=5)={7\choose5}(0.35)^5(0.65)^{2}\\P(X=5)=0.0466

4 0
3 years ago
Suppose that the probability a seed will germinate is 85%. What is the probability that 7 of these seeds will germinate when 10
Neporo4naja [7]

Answer: The probability that 7 of these seeds will germinate when 10 are planted is 0.1298 .

Step-by-step explanation:

Let x be the number of seeds germinate .

Since each seed is independent from other , so we can use binomial over here.

Binomial probability formula : P(X=x)=^nC_xp^x(1-p)^{n-x} , where n= total trails and p is the probability of each success.

As per given : p= 0.85  , n= 10

Then, the probability that 7 of these seeds will germinate when 10 are planted will be :-

P(X=7)=^{10}C_7(0.85)^7(1-0.85)^3\\\\=\dfrac{10!}{7!3!}(0.85)^7(0.15)^3\\\\=0.129833720754\approx0.1298

Hence, the probability that 7 of these seeds will germinate when 10 are planted is 0.1298 .

5 0
3 years ago
A sheet custom size copy paper measures 8.5 in. by 10 in. if a ream (500 sheets) of this paper has a volume of 170 in to the thi
Snezhnost [94]

170 = 10(8.5)h

170 = 85h /:85

2 = H

The ream is 2 inches thick.

3 0
3 years ago
Mia credit card balance is less than -85 Does she owe more or less than 85
Crank
She owes more because the number is in the negatives
8 0
3 years ago
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