Answer:
40
Step-by-step explanation:
To solve this, we can create an equation that represents this situation. Since Christopher score 7 more than twice what Mathew scored, the equation will be:
C = 2M + 7
(Variables are representative of the first letter of each name)
Seeing as Christopher scored 87, we can put that into the equation and solve for M.
So, the equation will be:
87 = 2M + 7
Subtract 7 from both sides in order to isolate variable M on the right side.
80 = 2M
Now solve for M, which is 40 (divide both sides by 2).
The formula or the area of a trapezoid is (a+b) divided by 2 times height so the answer is 128ft2
Answer:

Step-by-step explanation:
So we want to simplify:

Note that this is in the format:

And we know that this is the same as:

Let 2√5 be a and let √3 be b. Thus:

Simplify:

And this cannot be simplified any further.
Answer:
Step-by-step explanation:
Use the Law of Cosines for this. If we want the measure of angle B, then the equation is set up like this:

Filling in:
and simplifying a bit:
81 = 196 + 36 - 168cosB and a bit more:
81 = 232 - 168cosB and even more:
-151 = -168cosB and divide both sides by -168 to get
.9378881988 = cosB
Now use the 2nd button on your calculator along with the cos button to find the missing angle. Make sure your calculator is in degree mode first. Your angle should be 20.30012152