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vagabundo [1.1K]
2 years ago
10

Find the value of each variable

Mathematics
1 answer:
Inessa [10]2 years ago
4 0

Answer:

x = 7

y = 7√3

Step-by-step explanation:

Formulas : -

sin θ = opposite side / hypotenuse

When θ = 60,

Opposite side = y

Hypotenuse = 14

sin 60 = y / 14

√3 / 2 = y / 14

y = √3 x 14 / 2

= √3 x 7

y = 7√3

When θ = 30,

Opposite side = x

Hypotenuse = 14

sin 30 = x / 14

1 / 2 = y / 14

x = 1 x 14 / 2

= 1 x 7

x = 7

Note : -

The value of,

sin 30 = 1 / 2

cos 60 = 7√3

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Show me how to work the equation 30-f+8f=30​
ELEN [110]

30-f+8f=30​

30+7f=30

Move +30 to the right side. Sign changes from +30 to -30.

30-30+7f=30-30

7f=0

Divde by 7

7f/7=0/7

Cross out 7 and 7, divide by 7. Becomes 1*1*f=f

f=0

Answer: f=0

4 0
3 years ago
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Find the next term in the sequence 15 , 34 , 55 , 78 , 103
omeli [17]

The next term in the sequence will be increased by 27. The difference between 15 and 34 is 19 The difference between 34 and 55 is 21 The difference between 55 and 78 is 23 The difference between 78 and 103 is 25 Following this pattern, the next number will be 130

6 0
3 years ago
nikhil has RS 80000 from this,he gives 30% to his wife and 20% to his father. Find the amount received by wife and father​
muminat

Answer:

Amount received by wife = RS 24000

Amount received by father = RS 16000

Step-by-step explanation:

His income is RS 80000

He gave 30% of his income to his wife

That's

\frac{30}{100}   \times RS  \:  \: 80000

Which is RS 24000

He gave 20% of his income to his father

That's

\frac{20}{100}  \times RS  \:  \: 80000

Which is RS 16000

Hope this helps you

8 0
3 years ago
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Point D is in the interior of
Natalija [7]

Answer:

Angle ABC,

Step-by-step explanation:

Please give more detail to your question, this doesn't help at all...

6 0
3 years ago
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If a car reaches speeds of 0-100 mph in 0.8 seconds, how many mph will it reach in 1 second?
zvonat [6]

Answer:

125 mph

Step-by-step explanation:

This can be calculated as a simple rule of 3.

In rule of 3 problems, you need to first identify the measures and whether they are direct or inverse to each other.

If they are direct to each other, if one value increases the other will increase too. For example, lets suppose that the Buffalo Bills have won 3 of 4 games. When there are 8 games, then will have won 6, keeping this proportion. Here, the measures are the number of games and the number of Buffalo Bills wins.

Now if they are inverse to each other, if one value increases the other will decrease. For example, if you travel at 60 mph, you will need 6 hours to arrive at your destination. At 80 mph, you will need less time. So, a the average speed increases, the time you need will decrease.

In this case the speeds is proportional to the time. So, if the time increases, the speed will increase too. It can be calculated by the following rule of 3.

   Speed               Time

 100 mph - 0.8 seconds

 x mph      -  1 second

x = 100/0.8 = 125 mph.

4 0
3 years ago
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