Answer:
SA ≈ 1134 cm²
General Formulas and Concepts:
<u>Math</u>
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Geometry</u>
- Radius: r = d/2
- Surface Area of a Sphere: SA = 4πr²
Step-by-step explanation:
<u>Step 1: Define</u>
d = 19 cm
<u>Step 2: Find </u><em><u>SA</u></em>
- Substitute [R]: r = 19 cm/2
- Divide: r = 9.5 cm
- Substitute [SAS]: SA = 4π(9.5 cm)²
- Exponents: SA = 4π(90.25 cm²)
- Multiply: SA = 361π cm²
- Multiply: SA = 1134.11 cm²
- Round: SA ≈ 1134 cm²
Seventy Thousand plus Four Hundred Thousand plus Ten Thousand plus Eight Thousand plus Five Hundred plus Thirty plus Nine.
G(f(x)) = g(2x +7) = -3(2x +7) +9 = -6x -21 +9
g(f(x)) = -6x -12
Answer:
27 miles in the morning and 85 miles in the afternoon.
Explanation:
Let m be the number of miles they rode in the morning. They rode 4 more than 3 times this many in the afternoon; this gives us the expression
3m+4
to represent the miles ridden in the afternoon.
Together they rode 112 miles; this means we add the morning miles, m, to the afternoon miles, 3m+4, and get 112:
m+3m+4 = 112
Combine like terms:
4m+4 = 112
Subtract 4 from each side:
4m+4-4= 112-4
4m = 108
Divide both sides by 4:
4m/4 = 108/4
m = 27
They rode 27 miles in the morning.
That means in the afternoon, they rode
3m+4 = 3(27)+4 = 81+4 = 85 miles.
ANSWER : QR is the answer