^n=1/square root of 59 (535) ,if that makes sense its hard to type it
Answer: 43.6 (Rounded to the tenth)
Explanation: Use the method of: SOH CAH TOA.
Using TOA, T = Tangent.
tan(71) = x/15. Using the butterfly method you can just do the following equation:
15 tan(71) = 43.56 (Rounded to tenth) —> 43.6
Answer:
Step-by-step explanation:
Perimeter of a triangle equals side 1 plus side 2 plus side 2
P = s1 + s2 + s3 side 1 = side 2 = x
x/side 3 = 5 / 3
x = (5/3) side 3
x (3/5) = side 3
perimeter = 65 slove for x
65 = x + x + 3x/5
325 = 5x + 5x + 3x
325 = 13X
25 = x equal side 1 and side 2
side 3 = 25(3/5) = 15
Answer: 
Step-by-step explanation:
1. If you join the top part and the bottom part of the figure, you obtain a sphere. Then, you must apply the formula for calculate the surface area of a sphere:

Where r is the radius (
)
2. Then:

3. The formula for calculate the suface area of the red part, which is a cylinder, is:

Where h is the height (h=32mm)
4. Then:

5. So, the total surface area is:

Here the line passes through (0,0) and (1,3).
First we need to find the slope , and for that we need to use the following formula

On substituting the values from the point, we will get

Now we will use slope intercept form, which is

Where m is the slope and b is the y intercept
And on substituting the values of x and y from the point (1,3) and slope, m = 3, we will get


b =0
Substituting the values of m and b in the slope intercept form, we will get
