Answer: 6.3
Step-by-step explanation:
The formula for geometric mean is given as :
G.m =
Therefore , the geometric mean between 4 and 10 will be :
G.m =
=
= 2
= 6.3
Answer:
B. 5 ft, 8 ft, 9 ft
Step-by-step explanation:
Which measurements could represent the side lengths of a right triangle?
4 m, 6 m, 10 m
5 ft, 8 ft, 9 ft
16 cm, 30 cm, 34 cm
18 in., 24 in., 42 in.
A right triangle has 3 sides; the hypotenuse, opposite and adjacent sides
Hypotenuse ² = opposite ² + adjacent ²
The hypotenuse is the largest side
Check all options
A. 4 m, 6 m, 10 m
Hypotenuse ² = opposite ² + adjacent ²
10² = 6² + 4²
100 = 36 + 16
100 m is not equal 52 m
NOT CORRECT
B. 5 ft, 8 ft, 9 ft
Hypotenuse ² = opposite ² + adjacent ²
9² = 8² + 5²
81 = 64 + 25
81 ft is not equal to 89 ft
NOT CORRECT
C. 16 cm, 30 cm, 34 cm
Hypotenuse ² = opposite ² + adjacent ²
34² = 30² + 16²
1,156 = 900 + 256
1,156 cm = 1,156 cm
CORRECT
D. 18 in., 24 in., 42 in.
Hypotenuse ² = opposite ² + adjacent ²
42² = 24² + 18²
1,764 = 576 + 324
1,764 in is not equal to 900 in
NOT CORRECT
B. 5 ft, 8 ft, 9 ft is the correct answer
Answer:
y = 2x + 10
Step-by-step explanation:
The rate is 2 and the y coordinate starts at 10. You use the y = mx + b formula
Answer:
x = 20
Step-by-step explanation:
Simplifying
1250 + 27.50x = 1400 + 20x
Solving
1250 + 27.50x = 1400 + 20x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-20x' to each side of the equation.
1250 + 27.50x + -20x = 1400 + 20x + -20x
Combine like terms: 27.50x + -20x = 7.5x
1250 + 7.5x = 1400 + 20x + -20x
Combine like terms: 20x + -20x = 0
1250 + 7.5x = 1400 + 0
1250 + 7.5x = 1400
Add '-1250' to each side of the equation.
1250 + -1250 + 7.5x = 1400 + -1250
Combine like terms: 1250 + -1250 = 0
0 + 7.5x = 1400 + -1250
7.5x = 1400 + -1250
Combine like terms: 1400 + -1250 = 150
7.5x = 150
Divide each side by '7.5'.
x = 20
Simplifying
x = 20