8. When you’re making subsets, you have two options for each element in the original set: you can either include it or not. This gives you 2 x 2 x 2 = 8 possible ways you can put a subset together from the three elements in {3, 4, 5}.
The best approximation for the measure of angle XYZ is 39.8° ⇒ 2nd answer
Step-by-step explanation:
Let us revise the trigonometry ratios in the right triangle ABC, where B is the right angle, AC is the hypotenuse, AB and BC are the legs of the triangle
The trigonometry ratios of the angle BAC, the opposite side to this angle is BC and the adjacent side to it is AB are
In Δ XYZ
∵ ∠ YXZ is a right angle
∴ The hypotenuse is YZ
∵ The adjacent side to ∠XYZ is XY
∵ The opposite side to ∠XYZ is XZ
∵ YX = 12 units
∵ XZ = 10 units
- Use tan ratio to find the measure of the angle because you
have the adjacent and opposite sides of the angle XYZ
∵ m∠XYZ is x
∵ 
∴
- To find x use the inverse of tan(x)
∵
∴ x = 39.8°
∴ m∠XYZ = 39.81°
The best approximation for the measure of angle XYZ is 39.8°
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You can learn more about the trigonometry ratios in brainly.com/question/4924817
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Answer:
34.5
Step-by-step explanation:
17 + 70/x when x = 14.
substitute x for 14
17 + 70/4
17 + 17.5
34.5
Answer:
1,000 ft³
Step-by-step explanation:
The volume is given by ...
V = Bh
where B is the area of the base, and h is the height. For the given dimensions, the volume is ...
V = (200 ft²)(5 ft) = 1000 ft³
Let's first find how many students bring their lunch to school. This is 30% of 300. To find this value, convert the percentage to a fraction (or decimal) and multiply:

Since 90 students bring their lunch to school, we can say 210 students do not bring their lunch to school. (300 - 90 = 210)