Answer:Area of the shaded region is 73.6 cm^2
Step-by-step explanation:
The circle is divided into two sectors. The Smaller sector contains the triangle. The angle that the smaller sector subtends at the center of the circle is 80 degrees. Since the total angle at the center of the circle is 360 degrees, it means that the angle that the larger sector subtends at the center would be 360 - 80 = 280 degrees
Area of a sector is expressed as
Area of sector = #/360 × πr^2
# = 280
r = 5 cm
Area of sector = 280/360 × 3.14 × 5^2
Area of sector = 61.06 cm^2
Area of the triangle is expressed as
1/2bh = 1/2 × 5 × 5 = 12.5
Area of the shaded region = 61.06 +
12.5 = 73.6
Answer:
The time it would take them to fill 750 gallons
= 200 minutes or 3 hours 20 minutes
Step-by-step explanation:
Step 1 :
We calculate the rate at which the hoses fill for Andre and His neighbor
For Andre
The garden hose at Andre's house can fill a 5-gallon bucket in 2 minutes.
The rate is calculated as:
5 gallon/2 minutes
= 2.5 gallons/minute
For His neighbor
The hose at his next-door neighbor's house can fill a 10-gallon bucket in 8
minutes.
= 10 gallon/8 minutes
= 1.25 gallon/minute
Step 2
Hence:
If they use both their garden hoses at the same time, and the hoses continue working at the same rate, the sum of their rate =
2.5 + 1.25 = 3.75 gallons per minute.
Step 3
The time it would take them to fill 750 gallons =
750 gallons ÷ 3.75 gallons per minute
= 200 minutes
= 3 hours 20 minutes
Answer:
2408.55 cubic yards
Step-by-step explanation:
use pi times radius squared times height, then divide by 3
Answer:
X^2-x- 8/x+4
Step-by-step explanation:
X+4 becomes a negative 4
Then multiply -4 by the first number which is 1 so -4×1 is -4. Then subtract -4 by the second number 3. This gives you -1 so multiply that by 4 which is -4. Then subtract 4 from the third number -4. So that'll give you -8. Then add an x-value to every number except the very last number as that number will be you remainder.
Answer:
ies
Step-by-step explanation:
