Answer: 12 inches
Step-by-step explanation: In this problem, since we're asked to find the length of the median, let's use our formula for the area of a trapezoid that involves the median which is shown below.
Area = median · height
We know that the area is 144 and the height is 9 so we can set up the equation 144 = M · 12. Now to solve for <em>m</em>, we divide both sides of the equation by 12 and we find that 12 = M.
So the length of the median of the trapezoid is 12 inches.
Answer:
58.75 degreeF
Step-by-step explanation:
The initial temperature of the Soda = 40degreeF
The temperature outside is steady at 99 degreeF
The temperature of the soda became 50 degreeF after 8 minutes
In 8 minutes, the Soda gained
(50 - 40)degreeF
= 10 degreeF
If the soda gains 10 degreeF in 8 minutes, in 1 minute, it will gain 10/8degreeF
Therefore in 7 minutes, the soda will gain (10/8)*7
= 70/8
= 8.75 degreeF
The expected temperature of soda after an additional 7 minutes = 50 + 8.75
= 58.75degreeF
In order to get the area of a triangle using sides, the formula that we are going to use is Heron's formula. This is after from "Hero of Alexandria".
So here is the step by step process:
First, we calculate for s (half of the triangles perimeter) s = a+b+c divided by 2.
s = 6 + 10 + 12 / 2
s =28/2
s = 14
Now that we have the s, we can now calculate for the area.
A = square root of s(s-a)(s-b)(s-c)
A= square root of 14 x 8 x 4 x 2
A= square root of 896
A = 29.93
The area of triangle DEF is 29.93 square feet or 30 square feet. Hope this answer helps.
B 9x+10, this is because you just simply combine like terms
