Answer:
79/9 * pi
Step-by-step explanation:
First find the circumference of the entire circle
C = 2 pi r
C = 2* pi* 5
C = 10 pi
The degree of MPN is 360 - 44 = 316
The fraction of the circle is 316/360 =79/90
Multiply that by the total circumference
79/90 * 10 pi
79/9 * pi
Answer:
180
Step-by-step explanation:
I think it is 180
Answer:
The correct answer is B.
Step-by-step explanation:
We need to start calculating the total volume of water. This is, the sum of the three cube-shaped aquariums, that are 5in on each side. As the three aquariums are equal, the total volume of water is V=3V', where V' is the volume of one of those three aquariums.
We know that the volume of a cube is the third power of its side: V'=(5in)^3 = 125 in^3. Then, the total volume of water in the three aquariums is
V=3*125 in^3=325 in^3.
Now we only need to compare with the volumes of the given aquariums. Recall that the 50% is just the half of the volume of the larger aquarium.
(A) If the side of the aquarium is 6.9 in, its volume is 328.509 in^3. This volume is less that the amount of water we have from the initial three aquariums.
(B) If the side of the aquarium is 8.4 in, its volume is 592.704 in^3. It is not difficult to see that 325>592.704/2.
(C) If the side of the aquarium is 9.5 in, its volume is 857.375 in^3. Here it is not hard to check that 325<857.375/2.
Okay, so lets break this down.
First of all, we have the rectangular garden with a length of 15ft and a width of 12feet. We need to find the area of this which is pretty simple. This would be 15ft times 12ft which is 180ft².
Okay, now time for the triangle. The way that it words it may be confusing but I can draw you a picture of what it looks like (its a quick draw so it looks kinda bad).
But, for the triangle we are going to extend the 12ft line (shorter side; width) and create a line that is 7 feet long. Then, we are going to find the midpoint of the 15ft side and connect that with the end point of the triangle.
Since its on the longer side and its the midpoint, the triangle is going to have a base of 7.5ft (half of 15). Then, the height is 7ft as included in the question.
Now to solve the area of a
right triangle, you can use 1/2(bh). So 1/2 of the base times height.
This is 1/2 of (7.5*7) which is 1/2(52.5) and finally the area of the triangle is 26.25ft².
Now, all you gotta do is add the 26.25ft² and the 180ft² together and you get 206.25ft²
Answer:
113 feet away
Step-by-step explanation:
This one is just simple maths! 36 + 77.
Hava a great day!