Any angles that emerge and end upon the same line add up to 180 degrees. This means that 116 + p = 180. To solve:
Subtract 116 from both sides:
p = 64 degrees
I Hope this Helps!
-Sinnamin
Answer:
2663 ft
Step-by-step explanation:
Using SOHCAHTOA:
![\sin(24.4) = \frac{1100}{x}](https://tex.z-dn.net/?f=%20%5Csin%2824.4%29%20%20%3D%20%20%5Cfrac%7B1100%7D%7Bx%7D)
Solve for x:
![x = \frac{1100}{ \sin(24.4)}](https://tex.z-dn.net/?f=x%20%3D%20%20%5Cfrac%7B1100%7D%7B%20%5Csin%2824.4%29%7D%20%20)
![x = 2662.765 \approx \: 2663ft](https://tex.z-dn.net/?f=x%20%3D%202662.765%20%20%5Capprox%20%5C%3A%202663ft)
Surface Area of the top and bottom = 2 x 8 x 3 = 48 in²
Surface Area of the lateral side rectangle = (8 + 8 + 3 + 3) x 5 = 110 in²
Total Surface Area = 48 + 110 = 158 in²
Answer: 158 in²
The side of the edge of the cube is 9. 9cm
<h3>How to determine the length</h3>
Given that the diagonal of a cube measures the square root of 294cm and the diagonal of a face measures 14cm
To find the edge of the face, we know that the face of the cube is a square
Formula for diagonal of a square = ![\sqrt{2a}](https://tex.z-dn.net/?f=%5Csqrt%7B2a%7D)
Where is the side of the square
We then have,
![\sqrt{2a} = 14](https://tex.z-dn.net/?f=%5Csqrt%7B2a%7D%20%20%3D%2014)
Make 'a' the subject
a = ![\frac{14}{\sqrt{2} }](https://tex.z-dn.net/?f=%5Cfrac%7B14%7D%7B%5Csqrt%7B2%7D%20%7D)
Simplify the surd
a =
× ![\frac{14}{\sqrt{2} }](https://tex.z-dn.net/?f=%5Cfrac%7B14%7D%7B%5Csqrt%7B2%7D%20%7D)
a = ![\frac{14\sqrt{2} }{2}](https://tex.z-dn.net/?f=%5Cfrac%7B14%5Csqrt%7B2%7D%20%7D%7B2%7D)
a = ![7\sqrt{2}](https://tex.z-dn.net/?f=7%5Csqrt%7B2%7D)
a = 9. 9cm
Therefore, the side of the edge of the cube is 9. 9cm
Learn more about a cube here:
brainly.com/question/1972490
#SPJ1
Answer:757.02
Step-by-step explanation: