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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alisha [4.7K]

The 16th term is: 53

Further explanation:

We have to find the general formula first

The general form is:

$a_n=a_1+(n-1)d\\Given\\a_1=8\\d=3\\Putting\ the\ values\ in\ the\ formula\\a_n=8+(n-1)(3)\\a_n=8+3n-3\\a_n=5+3n\\For\ 16th\ term, put\ n=16\\a_n=5+3(16)\\a_n=5+48\\a_n=53$

The 16th term is: 53

Keywords: Arithmetic sequence, Common Difference

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#LearnwithBrainly

4 0

3 years ago

The area of a square is given by x2, where x is the length of one side. Mary's original garden was in the shape of a square. She

Vinil7 [7]

Answer:

$128\text{ ft}^{2}$

Step-by-step explanation:

We have been given that the area of a square is given by $x^2$ , where x is the length of one side.

Mary's original garden was in the shape of a square. She has decided to double the area of her garden. So the new area of Mary's garden will be 2 times the area of original garden.

We can represent this information in an equation as:

$\text{Area of Mary's new garden}=2x^{2}$