Answer: 108°
Step-by-step explanation:
A pie is 360°.
From the question, Frank cut a pie into 10 equal slices. This means each pie will be:
360° ÷ 10 = 36°
Since 3 slices are left, that means that the total measure of the angle of the 3 slices left will be:
= 36° × 3
= 108°
The measure of the total angle for 3 slices that are left is 108°.
Answer:
Upstream 1.1 hours and down stream 0.6875 hours.
Step-by-step explanation:
Jen motorboat travels at a speed of 13 mph in still water.
Now, the speed of river flows is 3 mph.
Therefore, the upstream speed of the boat is (13 - 3) = 10 mph and the downstream speed of the boat will be (13 + 3) = 16 mph.
Therefore, to travel 11 miles upstream Jen will take hours.
And to travel 11 miles down stream Jen will take hours. (Answer)
For this case we have the following expression:
We must rationalize the expression, so we multiply by:
So, we have:
Thus, the correct option is option B.
Answer:
OPTION B
Answer:
B.
Step-by-step explanation:
To simplify something that looks like you would multiply the top and bottom by the conjugate of the bottom. So you multiply the top and bottom for this problem I just made by:
.
If you had , then you would multiply top and bottom the conjugate of which is .
The conjugate of a+b is a-b.
These have a term for it because when you multiply them something special happens. The middle terms cancel so you only have to really multiply the first terms and the last terms.
Let's see:
(a+b)(a-b)
I'm going to use foil:
First: a(a)=a^2
Outer: a(-b)=-ab
Inner: b(a)=ab
Last: b(-b)=-b^2
--------------------------Adding.
a^2-b^2
See -ab+ab canceled so all you had to do was the "first" and "last" of foil.
This would get rid of square roots if a and b had them because they are being squared.
Anyways the conjugate of is
.
This is the thing we are multiplying and top and bottom.