On a right triangle, to find one missing side you can use this equation
a^2 + b^2 = c^2
a and b are the sides next to the right angle, and c is the hypotenuse (side not connected to right angle).
You first need to find the length of the dotted line before finding x. This is because to be able to use the above formula, you have to know the length of two out of three of the sides.
To solve the length of the dotted line, note that it also makes a triangle with the 5 unit line and the 5 √5 unit line. You can plug these numbers into the formula.
(5)^2+b^2=(5 √5)^2
25+b^2=125
b^2=100
b=10
Now that you know the length of the dotted line is 10 units, you can now solve for x
(20)^2+(10)^2=x^2
400+100=x^2
500=x^2
x= √500, which equals 22.361
Answer: D
Step-by-step explanation:
Look at the exponents first and order them from least to greatest
Answer: First Option
Step-by-step explanation:
The formula to calculate the volume of a cylinder is:
Where d is the diameter of the cylinder and h is the height.
Notice that the term d is squared. This means that to increase the volume of a cylinder it is more efficient to increase its diameter as well. Therefore, look for the cylinder with the largest diameter among the options.
The first cylinder is 90 ft in diameter and 40 ft in height and its volume is
You can verify that it is the tank that has the highest volume
Number of candles =(total volumes used by the company)/(volume of one candle)
volume of one candle =5cm*2cm*12cm=120cm^3
hence number of candles =5040/120
, ,=42candles
