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3 years ago

Liam sits on a merry-go-round at the local fair. He completes 12 revolutions in 4

Mathematics

1 answer:

Musya8 [376]3 years ago

7 0

Answer:

1/3 min ( = 20 seconds)

Step-by-step explanation:

The period of the ride is the time he takes to complete 1 revolution

We are given:

12 revolutions -------> takes 4 min

1 revolution ------> takes 4/12 = 1/3 min (= 20 seconds)

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At the grand opening, every 8th customer received a free coffee mug, and every 12th customer received a free baseball cap. How m

goldenfox [79]

8 people received a Baseball Cap

12 people received a Coffee Mug

Hope this helped!

7 0

3 years ago

Points E(-1, -2) and F(4, -2) are the vertices of a square. Give the coordinates of three possible pairs of points for the other

777dan777 [17]

The vertices of a square are its endpoints

The coordinates of the other pairs are: (-1, 3), (4, 3) and (-1, -7), (4, -7)

The given parameters are:

$\mathbf{E = (-1,-2)}$

$\mathbf{F = (4,-2)}$

Calculate the distance EF

$\mathbf{EF = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}}$

So, we have:

$\mathbf{EF = \sqrt{(-1 - 4)^2 + (-2 - -2)^2}}$

$\mathbf{EF = \sqrt{25}}$

$\mathbf{EF = 5}$

Add 5 to the y-coordinates of E and F

$\mathbf{C = (-1,-2+5)}$

$\mathbf{C = (-1,3)}$

$\mathbf{D = (4,-2+5)}$

$\mathbf{D = (4,3)}$

Subtract 5 to the y-coordinates of E and F

$\mathbf{C = (-1,-2-5)}$

$\mathbf{C = (-1,-7)}$

$\mathbf{D = (4,-2-5)}$

$\mathbf{D = (4,-7)}$

Hence, the coordinates of the other pairs are: (-1, 3), (4, 3) and (-1, -7), (4, -7)

There is no third pair

Read more about vertices at:

brainly.com/question/2791243

5 0

2 years ago

Given the following geometric sequence, find the common ratio: {225, 45, 9...}

Tom [10]

Answer:

$\frac{1}{5}$ is the common ratio

Step-by-step explanation:

Common ratio(r) states that the ratio of each term of a geometric sequence to the term preceding it.

$r = \frac{a_2}{a_1} =\frac{a_3}{a_2}........\frac{a_{n+1}}{a_n}$

Given the sequence:

225, 45, 9, .........

Here,

$a_1 = 225$

$a_2 = 45$

$a_3 = 9$ and so on...

Using definition to find r.

$r = \frac{45}{225}=\frac{9}{45}......$

After solving we get;

$r = \frac{1}{5}$

Therefore, the common ratio is, $\frac{1}{5}$

8 0

3 years ago

Read 2 more answers

(a) Simplify the expression: (4x - 6) - (x + 5)

Liono4ka [1.6K]

Answer:

a) 3x - 11

b) 10x + 4

Step-by-step explanation:

a) The negative sign before the (x+5) means to subtract those values. Reverse the signs. Then combine like terms:

4x –6 –x –5. 4x–x–6–5

3x –11

b) Put all the x terms together.

Put all the integers together.

Add. Adding a negative is the same as subtracting.

4x+x+5x = 10x

+6-2 = 4

Combine them:

10x + 4

8 0

3 years ago

What valur of x makes the equation below true? 9^5 * 9^7=9^x

klasskru [66]

Answer:

x=12

Step-by-step explanation:

(9^5)(9^7)=9^x

282429536481=9^x

Step 1: Flip the equation.

9^x=282429536481

Step 2: Solve Exponent.

9^x=282429536481

log(9^x)=log(282429536481)(Take log of both sides)

x*(log(9))=log(282429536481)

x=log(282429536481)/log(9)

x=12

8 0

2 years ago