Answer:
The coordinates of the midpoints are the average coordinates of the endpoints. Suppose (x1,y1) and (x2,y2) are the endpoints and (xm,ym) is the midpoint, we have xm=x1+x22 and ym=y1+y22 . Therefore, 2xm=x1+x2 and 2ym=y1+y2 . From there, we should be able to figure the other endpoint out given an endpoint and the midpoint.
0.14 pounds (rounded; 0.135 unrounded); To calculate the % of something, divide it by 100 and multiply the result by the percentage you want to find.
0.0450 (=1%)
0.0450 x 3 = 0.135
Part 1: should be C. Because the question said 1.2 added to a number.
Part 2:16.8
I believe the answer is 5x^3/8
Answer:12.59
Step-by-step explanation:
enter image source here
From the diagram you can see that we have constructed a right triangle, with height A and base 15.
Length of shadow = 15 feet.
Height of flagpole = A.
We know the angle of elevation is
40
∘
. Using this angle and the tangent ratio, we can find A.
tan
(
40
∘
)
=
opposite
adjacent
=
A
15
∴
tan
(
40
∘
)
=
A
15
Rearranging:
A
=
15
tan
(
40
∘
)
By calculator:
A
=
12.59
feet. ( 2 d.p.)
