Answer: The area of the sector formed by central angle AOB is 5/8 th of the total area of the circle.
Step-by-step explanation:
Let r be the radius of the circle having the center O,
⇒ The area of the circle = 
square unit.
And, the central angle AOB = 
( since, 
= 180° )
Hence, the area of sector AOB
square unit.
Now,
⇒ Area of sector AOB = 5/8 × Area of the circle.
Hence, the area of the sector formed by central angle AOB is 5/8 th of the total area of the circle.
Answers:
Rent = 750
Savings = 750
Groceries = 625 (you are correct)
Other = 375
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Explanation:
Convert each percent to decimal form. You do this by moving the decimal point 2 spots to the left.
Rent has 30% turn into 0.30, which multiplies with 2500 to get 0.30*2500 = 750
For savings, the same multiplier is used because we also have 30% here as well. So the same amount is devoted to savings.
You have the correct answer for groceries. Multiply 0.25 with 2500 to get 625. Nice work on getting the correct answer here.
Finally, we have 15% devoted to other, so we multiply 0.15 by 2500 and we get 0.15*2500 = 375
As a check, we can add up the subtotals 750, 750, 625, 375 to get 750+750+625+375 = 2500 which helps us confirm our answers.
Answer:
104 miles (nearest whole number)
Step-by-step explanation:
Applying Pythagorean theorem which is: c² = a² + b². Where,
c = distance between the two planes = ?
a = distance of the first plane from the airport = 80 - 1 = 79 miles
b = distance of the second plane from the airport = 68 - 1 = 67 miles
c² = 79² + 67²
c² = 10,730
c = √10,730
c = 103.585713
c = 104 miles (nearest whole number)
To find this out we have to add 5 tens and 13 ones.
5 tens is equal to
10 + 10 + 10 + 10 + 10 = 50
And 13 ones is equal to
1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 = 13
Now add 50 and 13
50 + 13 = 63
So your answer is 63
good Luck! :)
