Answer:
Step-by-step explanation:
Perimeter of a semicircle with diameter d = πd/2 + d
Answer:
1
Step-by-step explanation:
5=3d+2
subtract the 2 on both sides
3=3d
divide 3 on both sides
you get 1
Answer:
t = 25.05761543°
Step-by-step explanation:
sin (x) = 36/85 = 0.423529412
sin (x) = 0.423529412
x = sin^-1(0.423529412)
x = 25.05761543°
Answer:
<em>h = 8.54 units</em>
Step-by-step explanation:
<u>The Law of Cosines
</u>
It relates the length of the sides of a triangle with one of its internal angles.
Let a,b, and c be the length of the sides of a given triangle, and x the included angle between sides a and b, then the following relation applies:

Since we know the values of all three side lengths, we solve the equation for x:

For the triangle ABC in the image, a=10, b=15, c=13, thus:



Thus, A = 58.67°
For the right triangle of height h and hypotenuse 10, we use the sine ratio:

Solving for h:

h = 8.54 units
Question 6
first multiply the numerator and
denominator by 9+(2)^1/2
Question 7