9514 1404 393
Answer:
52°, 40°, 88°
Step-by-step explanation:
Let x represent "one angle". This is 30% larger than "the other", so we have ...
x = "the other" × (1 +30%)
x/1.30 = "the other"
If x is 36° smaller than the third, then the third is x+36.
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The sum of the angles is 180°.
x + x/1.3 + (x +36) = 180
x(2 +1/1.3) = 144
x = 144/(2 +1/1.3) = 52
x/1.3 = 52/1.3 = 40
x +36 = 88
The angles of the triangle are 52°, 40°, and 88°.
Answer:
x = 16 feet
Step-by-step explanation:
I'm guessing the shape given is a rectangle? Anyways, to find the area we multiply the sides, this gives us the equation:
(x - 12)(x - 5) = 44
We can distribute to get
x^2 - 12x - 5x + 60 = 44
x^2 - 17x + 60 = 44
Now, to get the equation equal to zero, we can subtract 44 from both sides:
x^2 - 17x + 16 = 0
To factor this, we are looking for two numbers that multiply to 16 and add up to -17. These two numbers are -1 & -16, therefore, the factored form is:
(x - 1)(x - 16) = 0
We can use the zero product property to say x = 1 and x = 16. We can cross out the solution x = 1, because when plugged in, we get side lengths less than one. So the sole answer is x = 16.
100+25x=250
Subtract 100 from both sides
25x=150
X=6
6 people
The data points that fall within the mean absolute deviation are 2.9 and 3.1.
<h3>What is the mean absolute deviation?</h3>
The mean absolute deviation is the mean average distance between every data point and the mean of the data set.
From the information given:
- Mean of the data set = 5.3
- Mean absolute deviation = 2
The mean absolute deviation is:
= (|5.3 - 2|)/1
= 3.3
Thus, the data points that fall within the mean absolute deviation are 2.9 and 3.1.
Learn more about mean absolute deviation here:
brainly.com/question/447169
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