Let's apply the Law of Cosines here. We want the measure of the angle opposite the side with length 16.
Call that angle C.
Then 16^2 = 36^2 + 28^2 - 2(36)(28)cos C.
Solving for C: cos C = 16^2 - 36^2 - 28^2
------------------------- = 0.904, and C = 0.44 rad
-2(28)(36) or C = 25.21 degrees
So each of the 2 equal angles shown has the measure 25.21 degrees.
Unfortunately, I don't know the direction we should go from this point on.
The greatest common factor between 50 and 40 is 10.
Answer:
7(1-8n)=0
We simplify the equation to the form, which is simple to understand
7(1-8n)=0
Reorder the terms in parentheses
+(+7-56n)=0
Remove unnecessary parentheses
+7-56n=0
We move all terms containing n to the left and all other terms to the right.
-56n=0-7
We simplify left and right side of the equation.
-56n=-7
We divide both sides of the equation by -56 to get n.
n=0.125
The answer is 10 i believe
Answer:
Answer: 40 sq. in.
Step-by-step explanation:
First we gotta find the area of triangle part of the shape, we can see the left side of the shape is 5 in. , so we subtract the 3 from 5 which gives 2 the height of the triangle.
Now, we find the length for the base of the triangle, the top part of the shape is 7 in. , so we subtract 7 from 12 which gives us 5 in. as the base
Now, we find the area of the triangle:
A = b × h
A = ( × 5 in,) × 2 in
A = 5 sq. in.
Now we find the area for the rectangle:
A = b × h
A = 5 x 7
A = 35 sq. in
Finally, we add the areas together
35 sq. in. + 5 sq. in. = 40 sq. in.
We get our answer 40 sq. in,