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
Answer:
Step-by-step explanation:
The far right side of the triangle is 17 cm, which is the height.
The base would be 34 minus 17 because whole length of the rectangle is 34 and the triangle covers all but 17 of it.
So then you would take 1/2 of 17.
Then multiply it by 17 to get 160.5
Do you notice anything strange about those points ?
(0, 1),
(1, 2),
(2, 4),
(3, 8).
The y-coordinate of each point is (2) raised to the power of the x-coordinate.
First point: x=0, y=2⁰ = 1
Second point: x=1, y=2¹ = 2
Third point: x=2, y=2² = 4
Fourth point: x=3, y=2³ = 8
The equation of the curve appears to be
y = 2 ^ x .
So, after 10 hours, x=10, and y = 2¹⁰ = 1,024 .
Answer:
I think the answer is 22% but I am not sure
Step-by-step explanation:
Percentage solution with steps:
Step 1: We make the assumption that 50 is 100% since it is our output value.
Step 2: We next represent the value we seek with X
Step 3: From step 1, it follows that 100%=50
Step 4: In the same vein, x%=11.
Step 5: This gives us a pair of simple equations:
100%=50(1).
X%=11(2).
Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the left hand side of both equations have the same unit; we have
100% / X% = 11 / 50
X = 22%
Step 7: Taking the inverse (or reciprocal) of both sides yields
X% / 100% = 11 / 50
Therefore, 11 is 22% of 50.
