The Pythagorean Theorem says that in a right triangle each of the legs squared add up to equal the hypotenuse squared. The converse says that a triangle is a right triangle if each of the legs squared added together equal the square of the hypotenuse. For your particular problem, square the legs and add them together and they should equal the hypotenuse squared. One thing you have to know to get through this is that, no matter what, in a right triangle the hypotenuse will ALWAYS and forever be the longest length.
Answer:
Step-by-step explanation:
AR = QR = RS = (1/2) QS = 3
So ....by the Pythagorean Theorem, AS = AQ =
√ [3^2 + 3^2] = √[9 + 9 ] = √18
And the area of the two semi-circles= the area of a circle with a radius of AS/2 =
pi [AS/2]^2 =
pi [√18/2]^2 = 18pi/4 = (9/2)pi units^2
And the area of the rest of the figure is just that of a rhombus =
The product of the diagonals / 2 =
AB*QS/2 = 9 * 6 / 2 = 27 units^2
So....the total area =
[(9/2) pi + 27] units^2 = about = 41.1 units^2 [rounded]
Answer:
The total number of members are 128 members
Step-by-step explanation:
From the question, mixing the ratio of children to adult, we have ;
7:9
There are 16 more adult members
So if there are x children, then there are 16 + x adults
Thus, the total number of members will be;
16 + x + x = 2x + 16
Now, we have that;
7/16 * (2x + 16) = x
7(2x + 16) = 16x
14x + 112 = 16x
16x-14x = 112
2x = 112
x = 112/2
x = 56
The total number of members is thus;
2(56) + 16 = 128
<h2>
Answer:</h2>
A circle
<h2>
Step-by-step explanation:</h2>
The representation of this problem is shown below. The cross-section is the name for a slice that cuts through a solid. If we move around the height of the cone through its volume, we will find that at every point the cross section will be a circle. The radius of that circle will depend on the point we are on. On the base of the cone, the circle will have the same radius of the cone and the radius will be decreasing when moving until we get to the apex.
Answer: Multiple Answers...
Step-by-step explanation:
It will be 3x the volume of the original prism. Since I can't see the prism, that's the best I can tell you.
Dimensional-wise, I don't have an answer, as I dont fully understand.
