Hanukkah, because that is what holiday it is used for. (Though I'm Christian and I don't know what the heck a creche is) but it says Christmas, so yeah. Hanukkah.
Answer: approximately <u>188.07</u> feet
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Explanation:
Refer to the diagram below. Note that the 62 degree angle is from the fact that 90-28 = 62.
With the reference angle 62 degrees in mind, we have an unknown opposite side x feet and a known adjacent side 100 feet.
Use the tangent trig ratio to tie the two sides together, and then solve for x.
tan(angle) = opposite/adjacent
tan(62) = x/100
100*tan(62) = x
x = 100*tan(62)
x = 188.072646534633 approximately
x = 188.07 feet approximately
Your calculator needs to be in degree mode. One way to check is to compute something like tan(45) and the result should be 1.
49+2x
Increase means “go up” which is another way to say addition
Twice means “two times” or “doubled”
A number would be a variable since it’s unknown
Hopefully this helps...
The answer is 12.64 cm.
We work backward from the probability given to us. We look this probability up in a z-table (http://www.z-table.com). Since it does not imply directionality, the score could be above or below the mean distance from center. We divide 25%, 0.25, by 2 and get 0.125. We look up 0.125 in the z-table and find that the score associated with it is -1.15.
The formula for a z-score is z=(X-μ)/σ. Substituting our known information we have
-1.15 = (X-20)/6.4
Cancel the 6.4 by multiplying both sides:
-1.15(6.4) = (X-20)/6.4 * 6.4
-7.36 = X - 20
Now add 20 to both sides:
-7.36 + 20 = X - 20 + 20
12.64 = X.
