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louie8656
30.11.2019 •
Mathematics
Need brainliest+20
a triangular lot in a park has a base with a measure that is 4 more than twice the height of the lot. the area of the lot is 99 square feet. since the area of a triangle is found by using the formula a=1/2 bh, the area for this lot can be represented by the equation 99=1/2(2h+4)h, where h represents the height of the triangle.
what is the height of the lot?
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Ответ:
Simplify the equation they gave you: 99 = 1/2*(2h + 4)*h; first multiply
99 = (h + 2)*h
99 = h² + 2h; subtract h² + 2h from both sides
99 - h² - 2h = 0; rearrange
-h² - 2h + 99 = 0; factor
(-h + 9)(h + 11) = 0; set each factor equal to 0
-h + 9 = 0 → h = 9 h + 11 = 0 → h = -11
The value of h has to be positive so lets go with 9. Plug it ito the equation to make sure.
99 = 1/2*(2(9) + 4)*9
99 = 1/2*22*9
99 = 99; that means that the answer was right → 9 is the height
I hope this helps you!
Ответ:
when a man loves a woman they have sex
Step-by-step explanation:
Ответ:
16% of his phone bills are more than $76
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 65
Standard deviation = 11
What percentage of his phone bills are more than $76?
76 = 65 + 11
So 76 is one standard deviation above the mean.
By the Empirical Rule, 68% of the measures are within 1 standard deviation of the mean. The other 100-68 = 32% are more than 1 standard deviation from the mean. Since the normal probability distribution is symmetric, 16% of them are more than 1 standard deviation below the mean and 16% are more than 1 standard deviation above the mean. So
16% of his phone bills are more than $76