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german
3 years ago
12

24^2= 20^2+34^2-2(20)(34)cos(Q)

Mathematics
1 answer:
Vanyuwa [196]3 years ago
3 0

Answer: 50 degrees.

Step-by-step explanation:

To find the measure of the angle Q, you need to follow these steps:

- Knowing that:

-980= -(1,360)cos(Q)

You can divide both sides of the equation by -1,360:

\frac{-980}{-1,360}=\frac{-1,360cos(Q)}{-1,360}\\\\\frac{49}{68}=cos(Q)

- Finally, using  the inverse function of the cosine, Arccosine, we get:

Q=Arcos(\frac{49}{68})\\\\Q=49.89\°

To the nearest whole degree, this is:

Q=50\°

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10. Use the properties of exponents to simplify the expression:
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<h3><u>Answer</u> :</h3>

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7 0
3 years ago
Bly makes fleece scarves and sells them for $11 each. The supplies cost her $5 per scarf. Last month, Bly had a profit of $139.
seraphim [82]

Bly sold 29 scarves last month

<em><u>Solution:</u></em>

Let "x" be the number of scarves sold

Bly made 7 more scarves than she sold

Then, number of scarves made = x + 7

Bly makes fleece scarves and sells them for $11 each

Thus for selling "x" scraves , he will get 11x dollars

Total sales revenue = 11x

number of scarves made = x + 7

The supplies cost her $5 per scarf

Therefore, cost for scarves made = 5(x + 7)

Therefore,

profit = Total sales revenue - cost for scarves made

profit = 11x - 5(x + 7)

profit = 11x - 5x - 35

profit = 6x - 35

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5 0
3 years ago
What is RS? Please help will give Brainlyest.
IceJOKER [234]

Answer:

<h2>         RS = 47</h2>

Step-by-step explanation:

RV=VU and SW=WT    ⇒    VW=\dfrac{RS+UT}{2}

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3x+5=\dfrac{2x+15+6x-37}{2}\\\\3x+5=\dfrac{8x-22}{2}

3x + 5 = 4x - 11        {subtract 5 from both sides)

3x = 4x - 16             {subtract 4x from both sides)

-x = -16                   {divide both sides by (-1)}

x=16

So:

RS = 2x + 15 = 2×16 + 15 = 32 + 15 = 47

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2 years ago
A car la 160 inches long <br><br>A truck is 7percentage longer thanks they car​
FromTheMoon [43]

Answer:

171.2

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7% x 160 = 11.2

11.2 + 160 = 171.2

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3 years ago
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