Answer:
128.605 m²
Step-by-step explanation:
Find the areas of the top triangle, and the bottom triangle and add them together.
The top triangle consists of 2 smaller triangles. Look at the larger one, the height is 4.93 and the base is 17. The area is...
A = (1/2)(17)(4.93)
A = 41.905 m²
The bottom triangle consists of 2 smaller triangles. Look at the larger one, the height is 10.2 and the base is 17. The area is...
A = (1/2)(17)(10.2)
A = 86.7 m²
The total area is 41.905 m² + 86.7 m² = 128.605 m²
Answer:
Part 1)
Bob's mistake was to have used the cosine instead of the sine
The measure of the missing angle is 
Part 2) The surface area of the pyramid is 
Step-by-step explanation:
Part 1)
Let
x----> the missing angle
we know that
In the right triangle o the figure
The sine of angle x is equal to divide the opposite side angle x to the hypotenuse of the right triangle
Bob's mistake was to have used the cosine instead of the sine
Part 2) we know that
The surface area of the square pyramid is equal to the area of the square base plus the area of its four lateral triangular faces
so
![SA=b^{2}+4[\frac{1}{2}(b)(h)]](https://tex.z-dn.net/?f=SA%3Db%5E%7B2%7D%2B4%5B%5Cfrac%7B1%7D%7B2%7D%28b%29%28h%29%5D)
where
b is the length side of the square
h is the height of the triangular lateral face
In this problem
-------> by an 45° angle
so
Find the value of b
Find the surface area
![SA=12^{2}+4[\frac{1}{2}(12)(6)]=288\ cm^{2}](https://tex.z-dn.net/?f=SA%3D12%5E%7B2%7D%2B4%5B%5Cfrac%7B1%7D%7B2%7D%2812%29%286%29%5D%3D288%5C%20cm%5E%7B2%7D)
Answer:
55°
Step-by-step explanation:
x+x-20=90[Complementary angle]
or, 2x-20=90
or, 2x=90+20
or, 2x=110
or, x=110/2
x=55°
X+y=6
x-y=4
using these equations we solve for either x or y in one and plug it into that variable in the other equation.
x=y+4 so y+4+y=6 so 2y=2 so y=1
now using y=1 put into first equation. x+1=6 so x=5
so we know our graph goes through the coordinate point (5,1) then just make an x table and use some values to find the corresponding y coordinate and then do that for at least three points or more if needed to find the best fit for graph. Hope this helps walk you through it! Any questions please just ask! Thank you!
