<h3>
Answer: Approximately 23.0 cm</h3>
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Work Shown:
a = 20.3
b = unknown
c = 30.7
Apply the pythagorean theorem to find b
a^2 + b^2 = c^2
(20.3)^2 + b^2 = (30.7)^2
412.09 + b^2 = 942.49
b^2 = 942.49-412.09
b^2 = 530.4
b = sqrt(530.4)
b = 23.0304146727757 value is approximate
b = 23.0
I rounded to one decimal place because the other values (20.3 and 30.7) were to one decimal place.
Answer:
Solution: x = 2, y = -1 or (2, -1)
Step-by-step explanation:
Equation 1: 2x + y = 3
Equation 2: 5x - 2y = 12
Using the substitution method:
Transform the Equation 1 into its slope-intercept form:
2x + y = 3
2x - 2x + y = -2x + 3
y = 2x + 3
Substitute the value of y = -2x + 3 into Equation 2:
5x - 2y = 12
5x - 2(-2x + 3) = 12
5x + 4x - 6 = 12
9x - 6 = 12
9x - 6 + 6 = 12 + 6
9x = 18
9x/9 = 18/9
x = 2
Substitute the value of x = 2 into Equation 2 to solve for y:
5x - 2y = 12
5(2) - 2y = 12
10 - 2y = 12
10 - 10 - 2y = 12 - 10
-2y = 2
-2y/-2 = 2/-2
y = -1
Double-check whether the values for x and y will provide a true statement for both equations:
Equation 1: 2x + y = 3
2(2) + (-1) = 3
4 - 1 = 3
3 = 3 (True statement)
Equation 2: 5x - 2y = 12
5(2) - 2(-1) = 12
10 + 2 = 12
12 = 12 (True statement)
Therefore, the correct answers are: x = 2; y = -1 or (2, -1).
Answer:
461.8
Step-by-step explanation:
V=(1/3) πr^2h
V=(1/3)π(7^2)9
V=461.8
Sorry inputed wrong in calculator first time
Answer:
Step-by-step explanation:
k = 4/24 = 1/6
