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givi [52]
3 years ago
15

Find the value of a. Round the nearest tenth.

Mathematics
1 answer:
forsale [732]3 years ago
7 0

Answer:

a = 24.0

Step-by-step explanation:

We can use the law of sines to solve

sin 150       sin 12

---------- = ----------

a                    10

Using cross products

10 sin 150 = a sin 12

10 sin 150 / sin 12 = a

a=24.04867

To the nearest tenth

a = 24.0

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Ostrovityanka [42]

Answer:

Spelling word questions = 10

vocabulary word questions = 16

Step-by-step explanation:

Let

Spelling word questions = x

vocabulary word questions = y

Total points = 100

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x + y = 26 (1)

2x + 5y = 100 (2)

From (1)

x = 26 - y

Substitute x = 26 - y into

2x + 5y = 100

2(26 - y) + 5y = 100

52 - 2y + 5y = 100

- 2y + 5y = 100 - 52

3y = 48

y = 48 / 3

= 16

y = 16

Substitute y = 16 into

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x + 16 = 26

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vocabulary word questions = 16

7 0
3 years ago
Two smoothies and an ice cream cone cost $7.50. Three smoothies and two ice cream cones cost $12. Calculate the cost of a smooth
anygoal [31]

Answer:

Smoothie = 3

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Step-by-step explanation:

2s + i = 7.5

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subtract the equations

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If s = 3, then i is 1.5 (4.5 - 3.5)

To check, plug 3 and 1.5 into s and i.

2(3) + 1.5 = 7.5

6 + 1.5 = 7.5

7.5 = 7.5

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Step-by-step explanation:

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Sue bought two shirts on sale. She would have to pay $20.00 for each shirt, but she got them for 25% off. The two shirts also ha
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