Answer:
-15804
Step-by-step explanation:
Answer:
7 sqrt(2)
Step-by-step explanation:
We can use trig functions
sin theta = opposite side/ hypotenuse
sin 45 = 7/x
Multiply each side by x
x sin 45 = 7
Divide each side by sin 45
x = 7 / sin 45
x = 7 (sqrt(2) /2)
x = 14 / sqrt(2)
We do not leave square roots in the denominator
x = 14 / sqrt(2) * sqrt(2)/ sqrt(2)
12 sqrt(2)/ 2
= 7 sqrt(2)
Answer:
A. 27 π cubic inches
Step-by-step explanation:
The volume of a cylinder is calculated using the formula;

From the given information, the smallest candle has a radius of 0.5 inches and a height of 3 inches.
We substitute
and
into the given formula.
The vlume of the smallest candle is


from the given information, the other two candles are scaled versions of the smallest, with scale factors of 2 and 3.
The volume of the other two candles will be
and
The wax needed to create one set of candle is

The correct answer is A
So the way to answer this question is to convert minute to seconds
We know that a minute has 60 seconds
The problem states that the hummingbird flaps its wings 80 times per second
So 80 times per second x 60 seconds = 4800 times would be the final answer.
Answer: The correct answer is Choice C 29.3%.
To find the percent change, we place the amount of change over the original amount.
The change is: 26450 - 20450 = 6000
Now, we can write our fraction and change it to a percent.
6000 / 20450 x 100 = 29.3%