The Pythagorean theorem states that the square of the hypotenuse is equal to the sum of the squares of the legs:
The hypotenuse is the side with the greatest length.
Check all options:
1. c=5, a=3, b=4:
true.
2. c=14, a=4, b=11:
false.
3. c=17, a=9, b=14:
false.
4. c=16, a=8, b=14:
false.
5. c=17, a=8, b=15:
true.
Answer: correct options are A and E.
The store paid $17.00
Solution: $24.00 (selling price) - $7.00 (difference of what the store paid) = $17.00
Given:
Cylinder: radius = 8 yd; height = 4 yd
Surface Area = 2 π r h + 2 π r²
SA = 2 * 3.14 * 8 yd * 4yd + 2 * 3.14 * (8yd)²
SA = 200.96 yd² + 401.92 yd²
SA = 602.88 yd²
Volume = π r² h
V = 3.14 * (8yd)² * 4yd
V = 803.84 yd³
Dimension is cut in half. radius = 4yds ; height = 2yds
S.A = 2 * 3.14 * 4yd * 2yd + 2 * 3.14 * (4yd)²
S.A = 50.24 yd² + 100.48 yd²
SA = 150.72 yd²
V = 3.14 * (4yd)² * 2yd
V = 100.48 yd³
SA = 602.88 yd² - 150.72yd² = 452.16 yd²
V = 803.84 yd³ - 100.48 yd³ = 703.36 yd³
Answer:
$3,190.80
Step-by-step explanation:
yr 1:
27500 x .35 = 9625
27500 - 9625 = 17875
yr 2:
17875 x .35 = 6256.25
17875 - 6256.25 = 11618.75
yr 3:
11618.75 x .35 = 4066.5625
11618.75 - 4066.5625 = 7552.1875
yr 4:
7552.1875 x .35 = 2643.265625
7552.1875 - 2643.265625 = 4908.921875
yr 5:
4908.921875 x .35 = 1718.12265625
4908.921875 - 1718.12265625 = 3190.79921875
Answer:
z=-3
Step-by-step explanation:
42 = -7z+21
-7z=21
z=-3
