Answer:
Step-by-step explanation:
![7- \sqrt[3]{2-x} =12](https://tex.z-dn.net/?f=7-%20%5Csqrt%5B3%5D%7B2-x%7D%20%3D12)
we have to just keep in mind to do the same operation to both sides of the equal sign
![7-7- \sqrt[3]{2-x} =12-7](https://tex.z-dn.net/?f=7-7-%20%5Csqrt%5B3%5D%7B2-x%7D%20%3D12-7)
; subtract 7 from both sides
![- \sqrt[3]{2-x} = 5](https://tex.z-dn.net/?f=-%20%5Csqrt%5B3%5D%7B2-x%7D%20%3D%205)
; multiply both sides by -1
![\sqrt[3]{2-x} = -5](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B2-x%7D%20%3D%20-5)
; raise both sides to the power 3
2-x = (-5)³
2-x = -125 ; subtract 2 from both sides
-x = -125-2
-x =-127; multiply both sides by -1
x= 127
Given:
A figure of a triangular prism.
Height of triangular base = 
yd
Base of triangular base = 4 yd
Height of prism = 4 yd.
To find:
The volume of the triangular prism.
Solution:
Volume of a triangular prism is:
...(i)
Where, B is the area of triangular base and h is the height of the prism.
Area of triangular base is:
Putting and h=4 in (i), we get
The volume of the triangular prism is 77.3 cubic yards. Therefore, the correct option is 2.
Answer:
x = 20
y = 26
Step-by-step explanation:
40 and 2x are vertical angles, so they're equal to each other.
40 = 2x
Divide both sides by 2
x = 20
We see that 40 and 5y + 10 are a linear pair, which means they add up to 180.
5y + 10 + 40 = 180
5y + 50 = 180
5y = 130
y = 26
Answer:
x = 8
Step-by-step explanation:
6x - 5 = 5x + 3
6x - 5x = 3 + 5 (combining like-terms)
x = 8
Hope this helps!
Answer:
22 m
Step-by-step explanation:
The computation of the how much far does the boat travel is as follows:
sin 43 degrees = 15 ÷ d
d = 15 ÷sin 43 degrees
= 15 ÷ 0.6820
= 21.99
= 22 m
Hence, the how much far does the boat travel is 22 m
We simply applied the above formula so that the correct value could come
The same is to be considered
