Answer: the shaded region = 69.66mm^2
Explanation:
Assume shaded region is X
Then :
X + Area of circle = area of square
X = area of square - area of circle
Find area of square:
Side length = 18mm
Area = 18 x 18 = 324
Find area of circle:
Side length of a square = the diameter of the circle = 18mm
And r(radius) = d/2 = 18/2 = 9
Area = pi x 9^2 = 254.34
Now find X
X = 324 - 254.34 = 69.66
Answer: 85
Step-by-step explanation:
Add all the numbers together than
divide by 8
Answer:
-21
Step-by-step explanation:
We are told to find f(x) + g(x) for x= -3. Therefore, we must evaluate f(-3) and g(-3), then add them together.
First, evaluate f(-3).
f(x)=4x-7
To find f(-3), we need to substitute -3 in for x.
f(-3)= 4(-3)-7
Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction First, multiply 4 and -3.
f(-3)= -12-7
Next, subtract 7 from -12
f(-3)= -19
Next, find g(-3).
g(x)=2x+4
To find g(-3), substitute -3 in for x.
g(-3)= 2(-3)+4
Solve according to PEMDAS. First, multiply 2 and -3.
g(-3)= -6+4
Next, add -6 and 4
g(-3)= -2
Now, we can add f(-3) and g(-3) together.
f(-3) + g(-3)
f(-3)= -19
g(-3)= -2
-19 + -2
Add
-21
Answer:
<h3>46.</h3>
<u>Total number in favour:</u>
<u>Probability:</u>
- P(favour, A) = 128/224 = 4/7
<h3>47.</h3>
<u>Total number in against:</u>
<u>Probability:</u>
- P(against, not B) = 32/80 = 2/5