Mike purchases a round wall clock. The clock’s radius is 10m. What is the circumference of the clock?

Mathematics

1 answer:

Kitty [74]2 years ago

3 0

20π or 62.8 roughly

Step-by-step explanation:

Hello!

The formula for finding the circumference of a circle is 2rπ:

In that case, all we have to do is substitute 10m for our r.

2 × 10 = 20.

So circumference will be 20π.

Using 3.14 for π:

We get that 62.8 is a rough estimate for the circumference.

Really, it's 62.831..... going on forever since π is irrational.

Thus, the answer exactly is .

Hope this helps!

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Factor the algebraic expression below in terms of a single trigonometric function. sin 2x + sin x - 2

Pie

Answer:

The factored form is (sin x +2)(sin x-1)

Step-by-step explanation:

We have been given the trigonometric function $\sin^2 x +\sinx-2$

We can factor this by AC method. In AC method we multiply the term a and c and then write the middle term b in such a way that the sum/difference is equal to the product 'ac'

Using the method, we can write sinx as 2sinx -sinx

$\sin^2 x +2\sinx-\sin x-2$

Now, we group the first two terms and the last two terms

$(\sin^2 x +2\sinx)+(-\sin x-2)$

Now, we take GCF from each group

$\sin x(\sin x +2)-1(\sin x+2)$

Factor out (sinx+2)

$(\sin x +2)(\sin x-1)$

Therefore, the factored form is (sin x +2)(sin x-1)

7 0

3 years ago

Read 2 more answers

Solve the system of two equations 2y=8 and 15y=2x-4

damaskus [11]

To find y, divide the first equation by 2.
y = 4

To find x, use that value for y in the second equation. Add 4, then divide by 2.
15·4 = 2x -4
60 +4 = 2x
64/2 = x = 32

The solution is (x, y) = (32, 4).