we know that
Area of the circle is equal to

where
r is the radius
in this problem



therefore
the answer is the option
d. 113.04 sq. in.
The fourth graders raised 175 more than 1,000 for the local animal shelter.
First, let us identify the given.
- Target value to raise= 1,000
- Profit from bake sale= 465
- Profit from t-shirt sales= 710
How much money did the fourth graders raise? The sum of the profit from the bake sale and t-shirt sales determines the total money raised.
Total money= Profit from bake sale + Profit from t-shirt sales
Total money= 465 + 710
Total money= 1175
How much more than 1,000 have the fourth graders raised? This amount is equivalent to the difference between the total money raised and the target amount, 1,000.
Total money-target amount
1175-1000= 175
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Answer:
Step-by-step explanation:
new length=15+x
width=19+x
then area=(15+x)×(19+x)=285+15x+19x+x²=x²+34x+285 ft²
original area=15×19=285 ft²
then 285+98=x²+34x+285
or
x²+34x-98=0
x²+34x+17²=98+17²
(x+17)²=98+289=387
x+17=√387=3√43
x=3√43-17 ft
Procedure:
1) calculate the number of diferent teams of four members that can be formed (with the ten persons)
2) calculate the number of teams tha meet the specification (two girls and two boys)
3) Divide the positive events by the total number of events: this is the result of 2) by the result in 1)
Solution
1) the number of teams of four members that can be formed are:
10*9*8*7 / (4*3*2*1) = 210
2) Number of different teams with 2 boys and 2 girls = ways of chosing 2 boys * ways of chosing 2 girls
Ways of chosing 2 boys = 6*5/2 = 15
Ways of chosing 2 girls = 4*3/2 = 6
Number of different teams with 2 boys and 2 girls = 15 * 6 = 90
3) probability of choosing one of the 90 teams formed by 2 boys and 2 girls:
90/210 = 3/7