Answer: (x - 1)² + (y - 1)² = 25
<u>Step-by-step explanation:</u>
The formula for a circle is (x - h)² + (y - k)² = r² where
- (h, k) is the center
- r is the radius
Typically, you are given the center and the radius. In this problem, you are given (x, y) so you must plug that into the equation to find r².
Given: (x, y) = (-3, 4) and (h, k) = (1, 1)
(-3 - 1)² + (4 - 1)² = r²
(-4)² + (3)² = r²
16 + 9 = r²
25 = r²
Next, input (h, k) and r² into the equation
(x - 1)² + (y - 1)² = 25
Answer:
sin(B) = 
cos(B) = 
tan(B) =
Step-by-step explanation:
I always find it easiest to model out the triangle: Angle B will be at the converging point of a and c.
Using SOH CAH TOA, we know that the Sin of an angle will be its opposite over hypotenuse. The opposite is 15, and the hypotenuse is 17.
So
is the sin of B.
We also know that the cosine of B will be it's adjacent over hypotenuse. The adjacent is 8 and the hypotenuse is 17, so

Lastly, we know the tangent of B will be it's opposite over adjacent. The opposite of B is 15, and it's adjacent is 8, so
is the tangent of B.
Hope this helped!
Answer:
24x-5
Step-by-step explanation:
x= number of batches
24x -5
Have you learned PEMDAS? (Parenthesis, exponents, multiplication, division, addition, subtraction). That is what I am going to do here.
The first parenthesis, let's solve. 7*10=70-5=65
The second parentheisis: I am assuming the negative sign is a typo, and this answer will be off if it is not. Sorry. 5*10=50
65*50=3250
I hope this helps, and let me know if you need further assistance.
8,1/8 = 65/8
5,3/4 = 23/4
Multiply 65/8 by 23/4
= 1495/32
= 46 23/32 square feet (if they want it kept as a fraction)
Or 46.72 square feet (if they want a decimal)