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Nat2105 [25]
3 years ago
8

Evaluate 48 + 24 ÷ 8 − 2^2. (1 point)

Mathematics
1 answer:
Amanda [17]3 years ago
5 0

Answer:

<h2>47</h2>

Step-by-step explanation:

48+24\div \:8-2^2\\Follow\:the\:PEMDAS\:order\:of\:operations\\=48+24\div \:8-4\\=48+3-4\\=47

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The answers in my textbook show that using Soh Cah Toa is not right. Unless I'm doing it wrong. Can someone help me please?
Fiesta28 [93]

Answer:

(a) α = 60°, β = 30°

(b) α ≈ 67.4°, β ≈ 22.6°

Step-by-step explanation:

I'll do (a) and (b) as examples.  Make sure your calculator is set to degrees, not radians.

(a) For α, we're given the opposite and adjacent sides, so use tangent.

tangent = opposite / adjacent

tan α = √300 / 10

tan α = √3

α = 60°

Since angles of a triangle add up to 180°, we know that β = 30°.  But we can use tangent again to prove it:

tan β = 10 / √300

tan β = 1 / √3

tan β = √3 / 3

β = 30°

(b) For α, we're given the adjacent side and the hypotenuse.  So use cosine.

cos α = adjacent / hypotenuse

cos α = 15 / 39

cos α = 5 / 13

α ≈ 67.4°

Again, we know that β = 22.6°, but let's show it using trig.  We're given the opposite side and hypotenuse, so use sine:

sin β = 15 / 39

sin β = 5 / 13

β ≈ 22.6°

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What word best fits this definition
postnew [5]

Answer:

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Step-by-step explanation:

We have been given  a crossword puzzle in the figure

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Hannah buys two and a half pound of dried fruit for $1.15 how much is she paying for one pounds of dried fruit
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All we have to do here is divide how much she paid ($1.15) by how many pounds of dried fruit she bought (2.5 pounds)

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