The 2 angles at a vertex are supplementary (one interior and one exterior) the exterior angle is = the sum of the 2 remote interior angles - I hope this helps.
Answer:
x = 12
Step-by-step explanation:
Reference angle = 45°
Opposite side length = x
Hypotenuse = 12√2
Thus, to find x, apply trigonometric ratio.
Multiply both sides by 12√2
(sin 45 = 1/√2)
12 = x
x = 12
Answer:
<h2>
$1,280</h2>
Step-by-step explanation:
Since the rate is constant, we can do the following method.
= $160 is saved per week.
Now, multiply the amount of money for 1 week by 8.
$160 × 8 = $1,280
<em>I hope this helps! I would really appreciate it if you would please make me brainliest! Have a blessed day!</em>
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Answer:
The interval [2.5, 12.5]
Step-by-step explanation:
<em>Tchebysheff’s Theorem states that for any distribution of probabilities if k ≥ 1, at least </em>
of the data will lie within k standard deviations of the mean.
We need then to find a k greater or equal than 1 such that
or the equivalent equation
Finding the value of k
So, applying Tchebysheff’s Theorem, the manager can assure that the number of employees that can be absent in a given day, lies in the interval
[7.5-2*2.5, 7.5+2*2.5] = [2.5, 12.5]
Put 4:3 into a fraction like 4/3 and make it equal to the number of boys
4/3=216/x
(find x by cross multiplying)
x=162 girls