Answer:
option 3
Step-by-step explanation:
divide the diameter by 2 to get the radius.
pi×r^2
3.14×42^2=5538.96 km^2
Answer: Complementary angles
Step-by-step explanation:
wxy is making a 90 degree angle which is a complementary. A supplementary is a 180 degree angle
Answer:
20
Step-by-step explanation:
Answer:
7. r = -5
8. x = -1
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
Step-by-step explanation:
<u>Step 1: Define</u>
r + 2 - 8r = -3 - 8r
<u>Step 2: Solve for </u><em><u>r</u></em>
- Combine like terms: -7r + 2 = -3 - 8r
- Add 8r to both sides: r + 2 = -3
- Subtract 2 on both sides: r = -5
<u>Step 3: Check</u>
<em>Plug in r into the original equation to verify it's a solution.</em>
- Substitute in <em>r</em>: -5 + 2 - 8(-5) = -3 - 8(-5)
- Multiply: -5 + 2 + 40 = -3 + 40
- Add: -3 + 40 = -3 + 40
- Add: 37 = 37
Here we see that 37 does indeed equal 37.
∴ r = -5 is a solution of the equation.
<u>Step 4: Define equation</u>
-4x = x + 5
<u>Step 5: Solve for </u><em><u>x</u></em>
- Subtract <em>x</em> on both sides: -5x = 5
- Divide -5 on both sides: x = -1
<u>Step 6: Check</u>
<em>Plug in x into the original equation to verify it's a solution.</em>
- Substitute in <em>x</em>: -4(-1) = -1 + 5
- Multiply: 4 = -1 + 5
- Add: 4 = 4
Here we see that 4 does indeed equal 4.
∴ x = -1 is a solution of the equation.
Answer: 0.4987
Step-by-step explanation:
Given : The weights of newborn baby boys born at a local hospital are believed to have a normal distribution with
Mean : 
Standard deviation : 
Let X be the random variable that represents the weight of randomly selected student .
Z score : 
For x = 5 lbs
For x = 11 lbs
By using the standard normal distribution table , the probability that the weight of the newborn baby boy will be between 5 lbs and 11 lbs :-
Hence, the probability that the weight of the newborn baby boy will be between 5 lbs and 11 lbs =0.4987
