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sdas [7]
3 years ago
14

Find the missing side or angle. Round to the nearest tenth.

Mathematics
2 answers:
olga_2 [115]3 years ago
7 0

Answer:

<h2>a = 4.1</h2>

Step-by-step explanation:

To find the missing side in the question, we use the cosine rule

That's

Since we are finding a we use the formula

<h3>a² = b² + c² - 2(b)(c) cos A</h3>

From the question

b = 2

c = 4

A = 78°

Substitute the values into the above formula

We have

a² = 2² + 4² - 2(2)(4) cos 78

a² = 4 + 16 - 16 cos 78

a² = 20 - 16cos 78

a² = 16.67341

Find the square root of both sides

a = 4.0833

We have the final answer as

<h3>a = 4.1 to the nearest tenth</h3>

Hope this helps you

statuscvo [17]3 years ago
3 0
Cosine law
a^2 = b^2 + c^2 - 2(b)(c)cosA
a^2 = 2^2 + 4^2 - 2(2)(4)cos78
a = 4.08
a = 4.1
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-3/2

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We can use the two points to calculate rise (y value change) and run (x value change)

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Is (1, 2) a solution of 6x-y &gt; 3?
nikdorinn [45]

Answer:

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Step-by-step explanation:

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5/8 of the staff are male 5/12 of the staff works part time at the aquarium what is the fraction of the staff being female
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3 years ago
If h(-8), find 1/3*h(x) = x^2-5x+7
Lynna [10]

The value is 333

<h3>How to determine the function</h3>

From the information given, we have:

  • x = - 8
  • 1/3*h(x) = x^2-5x+7

Now, let's substitute the value of 'x' in the function:

1/3*h(x) = x^2-5x+7

1/ 3 × h(-8) = ( - 8)² - 5 ( -8) + 7

Make 'h ( -8)' the subject of formula

h ( -8) = \frac{( -8)^2 - 5(-8) + 7}{1/ 3}

h ( -8) = \frac{64 + 40+ 7 }{1/ 3}

Take the sum of the numerator

h ( -8) = \frac{111}{1/3}

Take the inverse of the denominator and multiply

h ( -8) = 111 × 3/ 1

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We can see that through the substitute of the value of x as - 8, we get 333

Thus, the value is 333

Learn more about algebraic expressions here:

brainly.com/question/723406

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