Answer:
⦿ (7, 2)
Step-by-step explanation:
Try each solution in both inequalities and see which solution makes both inequalities true.
4x + 2y > 8
x - y ≥ 2
A. (2, 4)
4(2) + 2(4) > 8
16 > 8 True
2 - 4 ≥ 2
-2 ≥ 2 False
B. (4, 0)
4(-4) + 2(0) > 8
-16 > 8 False
C. (7, 2)
4(7) + 2(2) > 8
32 > 8 True
7 - 2 ≥ 2
5 ≥ 2 True
D. (1, -3)
4(1) + 2(-3) > 8
-2 > 8 False
Answer: C.
The answer to how many times can 4 go into 110 is 27.5
Using the formula:
V= 1/6 πd^3
V ≈ 1838.78
Answer:
A = .785 inches ^2
Step-by-step explanation:
C = pi *d
We know the diameter = 2*r
C = pi*2*r
Substituting pi = 3.14 we can solve for r
3.14 = 2*pi*r
3.14 = 2*3.14 *r
Divide by 3.14 on each side
3.14/3.14 = 2*3.14 *r/3.14
1 = 2r
Divide by 2
1/2 =2r/2
1/2 =r
Now we can find the area
A = pi *r^2
A = 3.14 *(1/2)^2
A= 3.14 *1/4
A = .785 inches ^2
Answer:
16.2
Step-by-step explanation:
The angle internal to the triangle at B is the supplement of the one shown, so is 65°. That is equal to the angle internal to the triangle at D. Since the vertical angles at C are congruent, the two triangles are similar by the AA theorem.
Corresponding sides of similar triangles are proportional, so we can write the proportion shown in the attachment:
BC/FC = DC/AC
BC = FC(DC/AC) = 21.6(7.2/9.6)
BC = 16.2 . . . . matches the first choice
