Answer:
93.99
Step-by-step explanation:
sin rule is:
sin A ÷ a = sin B ÷ b = sin C ÷ c
A B C are angles
a b c are the lengths opposite to each angle
to find angle opposite to x:
180- (90+57) = 33°
180: sum of angles in a traingle
90: since its a right angle traingle
to find x:
sin 57 ÷ 41 = sin 33 ÷ x
rearrange:
x= (sin 33 x 41) ÷ sin 57
x= 93.99 (2 d.p/2 decimal places)
To find the volume of the smaller cylinder you will need to determine the scale factor by comparing the 2 cylinders. The scale factor is 1:2. This means that each dimension will be divided by 2 when going from the larger to the smaller figure.
Because volume is a three dimensional measurement, you need to divide 9648 by 2, three times.
9648/2=4824
4824/2=2412
2412/2=1206 cubic inches
The volume of the smaller container is 1206 cubic inches.
Answer:

Step-by-step explanation:

hope this helps you.
Answer:
21,800
Step-by-step explanation:
I'm assuming you meant 2.18 x 10^4
Since the exponent is positive, you will move the decimal point 4 spaces to the right.
Simplifying what you said in your question would be x/6 - 18 = -22.
Therefore, you can solve the equation by adding 18 to both sides: x/6 = -4
Now, multiply each side by 6: x = -24. Check your answer by substituting -24 into the original equation and you will get -24 = -24