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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 years ago
A population of rabbits on a farm grows by 12% each year. Assume that this increase occurs as new baby rabbits at the beginning
jolli1 [7]

Answer:

a) r₁₂ = 104.36

In general, rₙ = arⁿ⁻¹

b)

- rabbit food consumed during the 10th year is approximately 832 pounds

- rabbit food consumed in total for the 1st through 10th years is approximately 5265 pounds

Step-by-step explanation:

Given that:

r1 = 30 and a farm grows by 12%

a = 30 and the common ratio r = 1.12

now

n           r

1        30.00

2       33.60

3       37.63

4       42.15

5       47.21

6       52.87

7       59.21

8       66.32

9       74.28

10      83.19

11       93.18

12      104.36

Therefore r₁₂ = 104.36

In general, rₙ = arⁿ⁻¹

b)

if each rabbit consume 10 lbs of rabbit food each year

n           r                food consumed(lbs)

1        30.00               300

2       33.60               336

3       37.63                376

4       42.15                422

5       47.21                472

6       52.87               529

7       59.21                592

8       66.32               663

9       74.28               743

10      83.19                832

total                          5265

Therefore, the rabbit food consumed during the 10th year is approximately 832 pounds

And the rabbit food consumed in total for the 1st through 10th years is approximately 5265 pounds

6 0
2 years ago
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yulyashka [42]

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If she did all 3of them today then you subtract a day from each one then it would look like this

5+4+15=24

4 0
3 years ago
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FromTheMoon [43]

Answer:

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k = 0.1229

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e^(-0.1229t) = 12.5/25

e^(-0.1229t) = 0.5

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How can you 24 with the numbers 6,6,2,1
Andreas93 [3]

Add 6 + 6 = 12

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5 0
3 years ago
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