Answer:
solve or simplify? if solve, what is x
Step-by-step explanation:
Answer: 70.5°
Solution:
Call B, the measure of the angle CBA
cos(B) = adjacent-leg / hypotenuse = 3 / 9 = 1 / 3
=> B = arc cos (1/3) ≈ 70.5°
I will calculate other measures for you, trying to cover the most common ratios: sine, cosine, tangent
1) (segment CA)^2 + (segment BC)^2 = (hypotenuse)^2
=> (segment CA )^2 = (hypotenuse)^2 - (segment BC)^2 = 9^2 - 3^2 = 81 - 9 = 72
=> segment CA = √72 = 6√2
2) sin(B) = opposite-leg / hypotenuse = 6√2 / 9 =2√2 / 3
3) sin(A) = cos(B) = 1/3
4) cos(A) = sin(B) = 2√2 / 3
5) tan(B) = opposite-leg / adjacent-leg = (2√2 / 3 ) / 3 = 2√2 / 9
6) tang(A) = 3 / (2√2 /3) = 9 /( 2√2) = 9√2 / 4
It's a rectangle because all sides has 4 right angles. Also, they have 2 pairs of equal sides. It's also a parallelogram, quadrilateral.
The triangular pyramid is made of 4 congruent triangles. They all have the same shape and size, so they have the same area. The area of one triangle is
A = b*h/2
A = 5*4.3/2
A = 10.75
So four of them lead to a total surface area of 4*10.75 = 43 square meters
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The rectangular prism has the dimensions
L = 5
W = 5
H = 4.3
The surface area is found through the formula below
SA = 2*(L*W+L*H+W*H)
SA = 2*(5*5+5*4.3+5*4.3)
SA = 136
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So far we found that
surface area of pyramid = 43 square meters
surface area of prism = 136 square meters
Dividing the values, we get 136/43 = 3.16279 approximately. The result is not equal to 2, so Susan's statement is not correct. The prism has more than twice the surface area of the pyramid
The answer would be 2.6.
2 3/5 = 2 + 3/5
multiple = 20
3 * 20 over 5 * 20
60/100
0.6
(2.6)
