Answer:

Step-by-step explanation:
The figure shows a right triangle.
To calculate the measure of the angle A, you can use the inverse trigonometric function arctangent:

Identify the angle
, the opposite side and the adjacent side:

Substitute into
.
The measure of the angle A is:

Rounded to the nerarest hundreth:

Given that, a sphere has a surface area of about 999 square millimeters.
Formula to find the surface area of sphere is,
S= 4πr² Where r = radius of the sphere and S= surface area.
Given S= 999 square millimeters.
So, we can write:
4πr² = 999
4 * 3.14 * r² = 999 Since, π = 3.14
12.56 *r² = 999
Divide each sides by 12.56.
r² = 79.53821656
r = √79.53821656 Taking square root to each sides of equation.
r = 8.918420071
So, r = 8.918 Rounded to nearest thousandth.
So, radius of the sphere is 8.918 millimeters.
Hope this helps you!
Answer:
432 yd squared
Step-by-step explanation:
This is a parallelogram. The area of a parallelogram is denoted by: A = bh, where b is the base and h is the height. Here, the base is b = 19 1/5 and the height is h = 22 1/2. Plug these in:
A = bh = (19 1/5) * (22 1/2)
To make this simpler, let's convert the numbers into decimals. 1/5 is just 0.2 so 19 1/5 is 19.2. 1/2 is just 0.5, so 22 1/2 is 22.5. Now we have:
A = 19.2 * 22.5 = 432
Thus the area is 432 yd squared.
Hope this helps!
Answer:a
Step-by-step explanation:
h(x)=x-12
h(x)=4x-48
h(x)=-1(4x-48)
h(x)=-4x+48
h(x)=48-4x
Answer:
3/4
Step-by-step explanation:
Difference means subtraction
12/8 - 3/4
We need a common denominator of 8
12/8 - 3/4 * 2/2
12/8 - 6/8
6/8
Divide by 2 in the numerator and denominator
3/4