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2 years ago

Solve the equation: sin(2x)= sin x

Mathematics

1 answer:

Anna [14]2 years ago

3 0

Answer:

Below

Step-by-step explanation:

sin(2x) = 2 ×cos(x)× sin(x)

● sin(x) = 2 × cos(x) × sin(x)

● 2 × cos(x) = 1

● cos (x) = 1/2

So we can deduce that:

● x = Pi/3 + 2*k*Pi

● or x = -Pi/3 + 2*k*Pi

K is an integer

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Find the length of the arc, s, intercepted by the given central angle, thetaθ, in a circle of radius, r. θ=30 rad; r=18 m.

Charra [1.4K]

Answer:

540 m

Step-by-step explanation:

We are given that

Central angle, $\theta=30$ rad

Radius of circle=18 m

We have to find the length of the arc s.

We know that

Length of arc, $s=r\theta$

Using the formula then, we get

Length of arc, $s=18\times 30=540 m$

Hence, the length of arc=540 m

7 0

3 years ago

What’s the answer to this problem?

Vedmedyk [2.9K]

Answer:

D 28x+40

Step-by-step explanation:

To find the perimeter, we add all the sides

2x+2x+5x+8+4x+10+5x+8+x+2+2x+7x+12 = P

Combine like terms

2x+2x+5x+4x+5x+x+2x+7x+10+8+8+2+12

28x +40

7 0

3 years ago

The Colosseum in Rome, Italy, is about 1,950 years old. The Giza Pyramids in Cairo, Egypt, are about 2,550 years older. How old

andrezito [222]

Answer: 2550

Step-by-step explanation:

it literally says it in the question

3 0

1 year ago

Read 2 more answers

Is 3(b+c) equivalent expressions?<br><br>A. True <br><br>B. False

andre [41]

Answer:

Is 3(b+c) equivalent expressions?

A. True

8 0

2 years ago

Read 2 more answers

A jeweler had a fixed amount of gold to make bracelets and necklaces. The amount of gold in each bracelet is 6 grams and the amo

nikitadnepr [17]

Answer:

The jeweler made 11 bracelets and 7 necklaces.

Step-by-step explanation:

Given that a jeweler had a fixed amount of gold to make bracelets and necklaces, and the amount of gold in each bracelet is 6 grams and the amount of gold in each necklace is 16 grams, knowing that the jeweler used 178 grams of gold and made 7 more necklaces than bracelets, to determine a system of equations that could be used to determine the number of bracelets made and the number of necklaces made, the following mathematical reasoning should be considered:

(16 - 6) x 7 = 70

178 - 70 = 108

108/6 = 18

18 - 7 = 11

(11 x 6) + (7 x 16) = X

66 + 112 = X

178 = X

Thus, the jeweler made 11 bracelets and 7 necklaces.

4 0

2 years ago