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Veseljchak [2.6K]
3 years ago
10

20. Find the missing side. Round to the nearest tenth.

Mathematics
1 answer:
nikdorinn [45]3 years ago
8 0

Answer:

A

Step-by-step explanation:

Note

One thing you should automatically notice is that x is larger, much larger than 20. x is the hypotenuse of a right triangle

Formula

Sin(18) = opposite side / hypotenuse

Givens

Sin(18) = 0.30902

opposite = 20

hypotenuse = x

Solution

sin(18) = 20 / x                            Multiply both sides by x

x sin(18) = 20*x /x

x sin(18) = 20                              Divide by sin(18)

x sin(18) / sin18 = 20/sin(18)

x = 20 / 0.30902

answer: x = 64.72

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domain: all real numbers

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Answer:

The simplest EXACT answer is \sqrt{\frac{244}{9}.

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Step-by-step explanation:

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Find the least common denominator. Then express each fraction using the least common denominator.
Rudiy27

Answer:

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Step-by-step explanation:

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3 years ago
please help me with my question due tomorrow morning I will like and mark as brainliest for the first correct answer please​
galina1969 [7]

Answer:

p = (2k + 1)i + j

q = 25i + (k + 4)j

p . q = 11

Find the dot product of p and q

(2k + 1)(25) + (k + 4) = 11

50k + 25 + k + 4 = 11

51k = -18

k = - 18/51 = –6/17.✅

b) p.q = |p||q|cos∅

p= (2k + 1)i + j = [2(-6/17) + 1)i + j ]= 5/17i + j

|p| = √ (5/17)² + 1²

|p| = √314/ 17 ( The square root doesn't cover the 17) = 1.0424

q = 25i + (k + 4)j = 25i + ( -6/17 + 4)j

q = 25i + 62/17 j

|q| = √ 25² + (62/17)²

= 25.2646

Now applying them to the formula above

We already have p.q = 11 from the question.

11 = (1.0424)(25.2646)Cos∅

11 = 26.3358Cos∅

Cos∅ = 11/26.3358

Cos∅ = 0.4177

∅ = 65.31°.

This should be it.

Hope it helps

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3 years ago
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