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Illusion [34]
3 years ago
11

In ΔUVW, u = 44 inches, ∠W=56° and ∠U=117°. Find the length of v, to the nearest inch.

Mathematics
2 answers:
Arisa [49]3 years ago
4 0

Answer:

The length of v is 6 inches

Step-by-step explanation:

Here, we want to calculate the length of v to the nearest inch

The best way to go about this is to use the sine rule

But before we proceed, we need the measure of angle V

Mathematically, since we have a triangle

W + U + V = 180

This is the sum of angles in a triangle

56 + 117 + V = 180

V = 180-56-117

V = 7 degrees

so we proceed to use sine rule to get the length of v

Mathematically;

v/Sin V = u/Sin U

Thus;

v/sin 7 = 44/sin 117

v = 44sin 7/sin 117

v = 6.018

This is approximately 6 inches

boyakko [2]3 years ago
3 0

Answer:

6

Step-by-step explanation:

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Answer:

The total number of games won by Unicorn is 40.

Step-by-step explanation:

  • We are given with a word problem
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         Step 1: Finding the win percentage

         Step 2: Finding the number of unicorns played during the season

Step 1 of 2

Let the number of games played by unicorn be x.The unicorn won 60% of the first x-10 games That is $\frac{60}{100} \times(x-10)$

Combining the 8 games we get,

$$\begin{gathered}\frac{60}{100}(x-10)+8=\frac{60}{100} \times x-\frac{60}{100} \times 10+8 \\0.6 x-6+8=0.6 x+2\end{gathered}$$

Step 2 of 2

The unicorn totally won 65% of the games played.

That is $\frac{65}{100} \times x=0.65 x$

Equating both the equation gives

$$\begin{gathered}0.6 x+2=0.65 x \\2=0.65 x-0.6 x \\2=0.05 x \\\frac{2}{0.05}=x \\40=x\end{gathered}$$

5 0
2 years ago
-2x-6=10<br> Solve it because I don’t get it
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Answer:

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Step-by-step explanation:

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3 years ago
At the start of the diet keirin weighted 14 stone 13 pounds three months later he weighted 13 stone 10 pounds there are 14 pound
WINSTONCH [101]

Answer:

The amount of weight he has lost in 3 months is 1.215 stone or 1 stone 3 pounds

Step-by-step explanation:

From the above question, we are to calculate the amount of weight he has lost in three months

1 stone = 14 pounds

Let's convert all the weight lost to stone

At the start of the diet keirin weighted 14 stone 13 pounds

14 pounds = 1 stone

13 pounds = x

Cross Multiply

14x = 13

x = 13/14

x = 0.9285714286 stone

Approximately = 0.929 stone

Hence:

14 stone 13 pounds = 14 + 0.929 = 14.929 stone

Three months later he weighted 13 stone 10 pounds

14 pounds = 1 stone

10pounds = x

Cross Multiply

14x = 10

x = 10/14

x = 0.7142857143 stone

Approximately = 0.714 stone

Hence:

13 stone 10 pounds = 13 + 0.714 = 13.714 stone

The amount of weight he has lost is calculated as:

14.929 stone - 13.714 stone = 1.215 stone or 1 stone 3 pounds

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Answer:

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Step-by-step explanation:

6 0
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