Answer:
60π
Step-by-step explanation:
If the circle has radius of 30 units, substitute r=30 into the formula C = 2πr.
C = 2π(30)
C = 60π
We need to start from the innermost parenthesis and work our way out.
The first parenthesis is
. These are not like terms because one involves a variable, while the other is a constant term. Two terms are summable if they involve the same power(s) of the same variable(s).
So, we can take one step outwards, and we arrive to the square brackets. We have

and 2z and -13z are like terms, so we can sum them:

Finally we arrive to the whole expression, which is

Because, again, 5z and 11z were like terms.
Answer:
?=7
Step-by-step explanation:
Here is a cool trick that I believe only works with 9.
Add the numbers, 3+9+9+8+x= divisible by 9.
3+9+9+7+8 is 36 which is the only number divisible by 9.
Answer:
1/5 hours i.e 0.2 hours (which is 12 mins)
Step-by-step explanation:
First note that 12 1/2 = 12.5, and 2 1/2 = 2.5.
To work out how many hours it takes hime to drive one mile, we divide the number of hours (2.5) by the number of miles (12.5),
i.e 2.5 ÷ 12.5
which equals 1/5 = 0.2 hours (= 12 mins).
Step-by-step explanation:
<u>Step 1: List out all of the formulas for the trigonometric functions
</u>
<em>sin(x) </em>= opposite/hypotenuse
<em>cos(x)</em> = adjacent/hypotenuse
<em>tan(x) </em>= opposite/adjacent
<u>Step 2: Find the value of RS
</u>
cos(31) = RS/24.8 NOT 24.8/RS
sin(31) = QS/24.8 NOT RS/24.8
sin(31) = QS/24.8 NOT 24.8/RS
cos(31) = RS/24.8 WHICH IS SAME AS RS/24.8
Answer: The correct length would be given from Option D, cos(31) = RS/24.8