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Mnenie [13.5K]
3 years ago
5

Please help me with part c! Thank you!

Mathematics
1 answer:
Alecsey [184]3 years ago
7 0

Answer:

15√3/14.

Step-by-step explanation:

C.  The longest side x + 2 = 7 is opposite the largest angle 120 degrees. The other 2 sides are of length 3 and 5.

Using the Sine Law:

sin 120 = √3/ 2 = sin A'

7 / sin 120 = 5/ sin B

sin B =  5 sin 120 / 7 =  5√3/14.

7 / sin 120 = 3 / sin C

sin C =  3 sin 120 / 7 =  3√3 / 14

sin A + sin B + sin C =   √3/ 2  +   5√3/14 +  3√3 / 14

=  7√3/ 14  +   5√3/14 +  3√3 / 14

= 15√3/14.

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Tia is making lemonade for a baseball tournament. The recipe calls for 2/3 cup of strawberries for each gallon of lemonade. She
antoniya [11.8K]

Given:

The recipe calls for \dfrac{2}{3} cup of strawberries for each gallon of lemonade.

Tia has 6 cups of strawberries.

To find:

The number of gallons of lemonade she can make.

Solution:

We have,

\dfrac{2}{3} cup of strawberries for = 1 gallon of lemonade

1 cup of strawberries for = \dfrac{1}{\frac{2}{3}} gallons of lemonade

                                        = 1\times \dfrac{3}{2} gallons of lemonade

                                       = \dfrac{3}{2} gallons of lemonade

6 cup of strawberries for = 6\times \dfrac{3}{2} gallons of lemonade

                                         = \dfrac{18}{2} gallons of lemonade

                                        = 9 gallons of lemonade

Therefore, 9 gallons of lemonade she can make by using 6 cups of strawberries.

7 0
2 years ago
The dimensions of a triangular prism are shown.
Serhud [2]

9514 1404 393

Answer:

  B.  32 square inches

Step-by-step explanation:

Each of the two triangular faces has an area of ...

  A = (1/2)bh = (1//2)(6 in)(4 in) = 12 in²

The lateral surface area is the product of the prism height (0.5 in) and the perimeter of the base.

  LA = (0.5 in)(5 in +5 in + 6 in) = 8 in²

So, the total area is the area of the two base and the lateral area:

  SA = 2A +LA

  SA = 2(12 in²) +8 in² = 32 in²

The surface area of the prism is 32 square inches.

7 0
3 years ago
Read 2 more answers
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Kamila [148]
V or x is something so if you add 9 to get 8 then you must subtract 9 from 8 to get -1 which would be your answer

7 0
3 years ago
Read 2 more answers
Help me thank you <br> .......
katrin2010 [14]

Answer:

$2.71

Step-by-step explanation:

$2 dollars in ones + $0.50 in quarters + $0.20 in dimes + $0.01 in pennies equals out to $2.71

8 0
3 years ago
Write a compound interest function to model each situation. Then find the balance after the given number of years.
andriy [413]

Answer:

See explanation

Step-by-step explanation:

The standard compound interest formula is A = P(1+\frac{r}{n})^{nt} where:

P is the principal amount

r is the interest rate (typically as a percentage)

t is the time

n is the times compounded per unit of time

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You should check my answers though, I may have mixed up some terms.

3 0
3 years ago
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