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4 years ago

Can someone help with 8&10

Mathematics

1 answer:

stiv31 [10]4 years ago

3 0

8. Answer: (C) 101.3

Step-by-step explanation:

Use the Law of Cosines:

c² = a² + b² - 2ab·cos C

28.2² = 16.9² + 19.5² - 2(16.9)(19.5)·cos C

795.24 = 285.61 + 380.25 - 659.1 cos C

795.24 = 665.76 - 659.1 cos C

129.38 = - 659.1 cos C

-0.196 = cos C

cos⁻¹ (-0.196) = cos⁻¹ (cos C)

101.3 = C

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10. Answer: (A) 27.9

Step-by-step explanation:

Use the Law of Cosines:

c² = a² + b² - 2ab·cos C

c² = 25² + 18² - 2(25)(18)·cos 79

c² = 625 + 324 - 900 cos 79

c² = 949 - 171.7

c² = 777.3

√c² = √777.3

c = 27.9

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Of 7 Express in the form n : 1. Give n as a fully simplified fraction. 6:14

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Answer:

The ratio is;

3/7 : 1

Step-by-step explanation:

Here, we want to express the given ratio in the form n:1 where n is a fully simplified fraction

Mathematically, we have this by dividing both numbers by 14

That would be ;

6/14 : 14/14

= 3/7 : 1

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V=1/3Ah If V = 16 when A = 24, find h

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V=1/3Ah. If V = 16 when A = 24, h is equal to 2

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4 years ago

You deposit $400 in an account. The account earns $18 simple interest in 9 months. What is the annual interest rate

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3 years ago

Underline all the ordered pairs (x,y) that are solutions to the equation y=2x+1.

Romashka [77]

Answer:

(3,7) (7,3) (−1,14) (0,1) (12,25)

(5,11) (0,12) (1,8) (12,0) (−1,−1)

Step-by-step explanation:

We have the following function:

$y = 2x+1$ .

We are going to check if each ordered pair is a solution.

(3,7)

If when $x = 3, y = 7$ , it is a solution.

$y = 2x + 1 = 2(3) + 1 = 7$

This ordered pair is a solution.

(7,3)

If when $x = 7, y = 3$ , it is a solution.

$y = 2x + 1 = 2(7) + 1 = 15$

This ordered pair is not a solution.

(-1,14)

If when $x = -1, y = 14$ , it is a solution.

$y = 2x + 1 = 2(-1) + 1 = -1$

This ordered pair is not a solution.

(0,1)

If when $x = 0, y = 1$ , it is a solution.

$y = 2x + 1 = 2(0) + 1 = 1$

This ordered pair is a solution.

(12,25)

If when $x = 12, y = 25$ , it is a solution.

$y = 2x + 1 = 2(12) + 1 = 25$

This ordered pair is a solution.

(5,11)

If when $x = 5, y = 11$ , it is a solution.

$y = 2x + 1 = 2(5) + 1 = 11$

This ordered pair is a solution.

(0,12)

If when $x = 0, y = 12$ , it is a solution.

$y = 2x + 1 = 2(0) + 1 = 1$

This ordered pair is not a solution.

(1,8)

If when $x = 1, y = 8$ , it is a solution.

$y = 2x + 1 = 2(1) + 1 = 3$

This ordered pair is not a solution.

(12,0)

If when $x = 12, y = 0$ , it is a solution.

$y = 2x + 1 = 2(12) + 1 = 25$

This ordered pair is not a solution.

(-1,-1)

If when $x = -1, y = -1$ , it is a solution.

$y = 2x + 1 = 2(-1) + 1 = -1$

This ordered pair is a solution.

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3 years ago