Answer:
Step-by-step explanation:
7) Area = 615.75 sq. km
πr² = 615.75
3.14*r² = 615.75
r² = 615.75/3.14 = 196
r = √196
r = 14 km
8) circumference = 15.71 yards
πd = 15.71
3.14*d = 15.71
d = 15.71/3.14 = 5 yards
9)Area = 415.48 sq.inches
πr² = 415.48
3.14*r² = 415.48
r² = 415.48/3.14 = 132.31
r = √132.31
r = 11.5 inches
diameter = 11.5*2 = 23 inches
Answer:
Check step-by-step.
Step-by-step explanation:
Okay, so. She gets 5 dollars and she does 15 chores. You would multiply it.
5 * 15 = $75
Then you would subtract 112 and 75.
112 - 75 = 37.
She will get $75. Then, she will need to gather $37
Answer:
see explanation
Step-by-step explanation:
Using the trigonometric identity
• 1 + cot²x = csc²x
Consider the left side
x - 
x
Factorise as a difference of squares
= (csc²x - cot²x)(csc²x + cot²x)
= (1 + cot²x - cot²x)(csc²x + cot²x)
= csc²x + cot²x
= csc²x + csc²x - 1
= 2csc²x - 1 = right side ⇒ verified
Answer:
The range is from 147 to 153 orders per day
Step-by-step explanation:
orders varies by 2% means that orders can be LOWER THAN THE AVERAGE, or HIGHER THAN THE AVERAGE.
That is, by 2%.
First, we need to find the decimal of 2%, so
2/100 = 0.02
We multiply this with the average number of order, 150, to get the varying amount:
0.02 * 150 = 3
Thus, the range would be:
150 - 3 = 147
150 + 3 = 153
The range is from 147 to 153 orders per day
2745
Step-by-step explanation:
solve it like simultaneously
180x+120y greater than 5145
180x+120y greater than 2400
eliminate x
y will now be greater than 2745
