Answer:
Step-by-step explanation:
a . possible
b. ehhh
c. possible
d. possible
choose one
Answer:
The answer to your question is Yes.
Step-by-step explanation:
The math in this problem is that we need to use the Pythagorean theorem to solve it. Pythagorean theorem is part of trigonometry a branch of Maths.
Data
base = 9 ft
length = 37 ft
height = ?
Pythagorean theorem
c² = a² + b²
length = c
base = a
height = b
37² = 9² + b²
-Solve for b
b² = 37² - 9²
-Simplify
b² = 1369 - 81
b² = 1288
-Result
b = 35.88
-Conclusion
The ladder will reach a height higher than 35 ft.
Answer:
9.57 inch
Step-by-step explanation:
(4/3)×pi×8³ = 14×16×h
h = (4/3)×pi×8³ ÷ (14×16)
h = 64pi/21 inch
Or, 9.57 inch (3 sf)
Answer:
If m is nonnegative (ie not allowed to be negative), then the answer is m^3
If m is allowed to be negative, then the answer is either |m^3| or |m|^3
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Explanation:
There are two ways to get this answer. The quickest is to simply divide the exponent 6 by 2 to get 6/2 = 3. This value of 3 is the final exponent over the base m. Why do we divide by 2? Because the square root is the same as having an exponent of 1/2 = 0.5, so
sqrt(m^6) = (m^6)^(1/2) = m^(6*1/2) = m^(6/2) = m^3
This assumes that m is nonnegative.
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A slightly longer method is to break up the square root into factors of m^2 each and then apply the rule that sqrt(x^2) = x, where x is nonnegative
sqrt(m^6) = sqrt(m^2*m^2*m^2)
sqrt(m^6) = sqrt(m^2)*sqrt(m^2)*sqrt(m^2)
sqrt(m^6) = m*m*m
sqrt(m^6) = m^3
where m is nonnegative
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If we allow m to be negative, then the final result would be either |m^3| or |m|^3.
The reason for the absolute value is to ensure that the expression m^3 is nonnegative. Keep in mind that m^6 is always nonnegative, so sqrt(m^6) is also always nonnegative. In order for sqrt(m^6) = m^3 to be true, the right side must be nonnegative.
Example: Let's say m = -2
m^6 = (-2)^6 = 64
sqrt(m^6) = sqrt(64) = 8
m^3 = (-2)^3 = -8
Without the absolute value, sqrt(m^6) = m^3 is false when m = -2
Answer:
Step-by-step explanation:
the angles of a triangle add up to180.
70 plus 30 plus x = 180
100 plus x =180
x=80
