Answer:
A =315 cm^2
Step-by-step explanation:
The area of a trapezoid is found by
A = 1/2 (b1+b2) *h
where b1 and b2 are the lengths of the bases and h is the height
A = 1/2 ( 13+29) *15
A = 1/2 (42)* 15
A =315 cm^2
Answer:
D is 117
Step-by-step explanation:
Let the measure of angle C be x
The measure of D is 9 less than twice C
Mathematically that is 2x-9
If both are supplementary, they add up to be 180
Thus;
x + 2x - 9 = 180
3x = 180 + 9
x = 189/3
x = 63
Recall;
D = 2x-9= 2(63) -9 = 126 -9 = 117
Answer:
37.699 cubic inches of water
Step-by-step explanation:
Volume of a cone is V= 1/3 pi r^2 h
We are given that the height is 5 in and the radius is 2 in.
Plug that into the formula: V= 1/3 pi 2^2 9
1/3 x 4 x 9 = 12
Now we are left with 12 pi.
Use a calculator and multiply 12 by pi to get:
37.699
Answer:
x = 5
Step-by-step explanation:
sin theta = opposite side / hypotenuse
sin 53 = 4/x
Multiply each side by x
x sin 53 = 4/x *x
x sin 53 = 4
Divide each side by sin 53
x sin 53 / sin 53 = 4 / sin 53
x = 4 /sin 53
x = 5.008542633
To the nearest whole number
x = 5
Answer:
Step-by-step explanation:
Let x, y , and z be the numbers.
Then the geometric sequence is 
Recall that term of a geometric sequence are generally in the form:
This implies that:
a=32 and 
Substitute a=32 and solve for r.
Take the fourth root to get:
![r=\sqrt[4]{\frac{81}{256} }](https://tex.z-dn.net/?f=r%3D%5Csqrt%5B4%5D%7B%5Cfrac%7B81%7D%7B256%7D%20%7D)
Therefore 
