Hypotenuse = guy wire
cos 45 = adj / hyp
cos 45 = 10 / hyp
hypotenuse = 10 / 0.42262
hypotenuse =
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23.6619185084
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Answer:
She will need 3.5 pounds of cheese to make the 28 casseroles
Step-by-step explanation:
In this question, we are tasked with calculating the amount of cheese in pounds needed to make 28 casseroles.
In the revised recipe, she intends using 1/2 of what is supposed to be used in the original recipe. Mathematically, since each original casseroles is meant to take 4 ounces of cheese, the revised recipe taking half will have 1/2 × 4 = 2 ounces of cheese per casserole
Now for 28 casseroles based on the revised recipe, the total amount of cheese to be used mathematically is equal to 28 × 2 = 56 ounces of casserole
The questions asks that our answer be in pounds
Mathematically, 1 ounce = 0.0625 pounds
Hence, 56 ounces of casseroles will be 56 × 0.0625 = 3.5 pounds of cheese
Answer:
(a) ∠HIK and ∠GFD
Step-by-step explanation:
In this geometry, there are only two pairs of alternate exterior angles:
∠HIK and ∠GFD
∠JIK and ∠EFD
Of these, only the first pair is among the answer choices.
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Alternate exterior angles are ones that are outside the parallel lines, and on opposite sides of the transversal.
Answer:
g>-3
Step-by-step explanation:
You divide -5 on both sides to get -3.
The third side is 4
So Pythagorean's theorem is the following
From here we can input the following information that we know
