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3 years ago

Geometry question please help, any help is appreciated!

Mathematics

1 answer:

raketka [301]3 years ago

6 0

Equation of the circle is
(x-h)² + (y-k)² = r²,

where (h, k) are coordinates of the center of the circle.
(h,k)= (0,-2)
radius r= 6

(x-0)² +(y-(-2))²=6²

x² + (y+2)² = 36

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Verizon offers two billing plans for local calls. Plan 1 charges $30 per month for unlimited calls, and Plan 2 charges $11 per m

rodikova [14]

Answer:

Number of monthly calls = 475

Step-by-step explanation:

Given:

Plan 1 = $30 per month unlimited calls

Plan 2 = $11 + $0.04(per call)

Find:

Number of monthly calls, plan 1 better than plan 2

Computation:

Plan 1 (Cost) < Plan 2 (Cost)

30 < 11 + 0.04(x)

19 < 0.04(x)

475 < (x)

Number of monthly calls = 475

6 0

2 years ago

Prove that sin20sin40sin60sin80=3/16

never [62]

We'll use the following properties of sine and cosine to prove this:

$sin(a)\cdot sin(b) = \frac12(cos(a-b) - cos(a+b))$

$cos(a)\cdot cos(b) = \frac12(cos(a+b) + cos(a-b))$

$cos(180+a) = cos(180-a)$

Then it's just a matter of filling it in...

sin20sin40 * sin60sin80 = 1/2(cos20 - cos60) * 1/2 (cos20 - cos140) =

1/8( cos40 + 1 - cos160 - cos120 - cos40 - cos80 + cos80 + cos200) =

1/8(1 - cos160 - cos120 + cos200) =

1/8(1 - cos160 - cos120 + cos160) =

1/8(1 - cos120 ) = 1/8( 1 + 1/2 ) = 3/16

5 0

3 years ago

Su Ling started an art project with 1 yard felt. She used 5/6 yard. How much felt does Su Ling have left?

damaskus [11]

Answer:

1/6 yard of felt

Step-by-step explanation:

Su Ling started with one yard, and she used 5/6 of it, which means five-sixths of the yard of felt get taken away. Now you have the last sixth of the yard left over - 1/6 of a yard of felt. One equals six sixths, so here's the math -

1yd = 6/6 yd

6/6 yd - 5/6 yd = 1/6 yd

7 0

2 years ago

Product of the square of a number eight

8090 [49]

The product a number with its square is equal to 8. Find the number.

Answer:

the number is 2

Step-by-step explanation:

Let us assume the number to x.

So, according to the equation:

$\textrm{x}\times\textrm{x}^{2}=8\\ \textrm{x}^{3}=8\\ \textrm{x}=\sqrt[3]{8}\\ \therefore \textrm{x}=2$

5 0

3 years ago

Solve for n<br><br><br> 8+8+n-4=3n-2n

____ [38]

Answer:

No solution

Step-by-step explanation:

8+8-4 = 12

12+ n = 3n-2n

3n-2n

12+n3n-2n

subtract n on both sides

12=0n

This makes it no solution

8 0

3 years ago