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3 years ago

Write a fraction that is equivalent to 2/3.

1 answer:

6 0

8/12 is a fraction that is equivalent to 2/3.When simplified, the answer is 2/3 and when you multiply numerator and denominator by 4, the answer is 8/12

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If the area of a circular pool is 300 square yards, what is its radius?

elixir [45]

Answer:

<h2>radius = 9.77 yards</h2>

Step-by-step explanation:

Since the pool is circular

Area of a circle = πr²

where

r is the radius

From the question

Area = 300 square yards

To find the radius substitute the value of the area into the above formula and solve for the radius

That's

300 = πr²

Divide both sides by π

We have

${r}^{2} = \frac{300}{\pi}$

Find the square root of both sides

That's

$r = \sqrt{ \frac{300}{\pi} }$

r = 9.7720502

We have the final answer as

<h3>radius = 9.77 yards</h3>

Hope this helps you

4 0

3 years ago

Which of the following would be a good reason to place your money into a savings account? a. You can purchase stocks with a savi

mart [117]

Answer: B. a savings account earns interest

Step-by-step explanation: Money loses value over time as the rate of inflation increases. In this scenario, when you have some money to spare, the ideal is to seek some kind of investment that earns interest.

Saving is one such option. The money in savings earns interest and is highly liquid, meaning it can be used at any time. In addition, saving is a very...

8 0

3 years ago

What is the equation for the linear model in the scatter plot obtained by choosing the two points closest to the line?

HACTEHA [7]

Answer:

Option C is the answer.

Step-by-step explanation:

To find the equation of the straight line equation i.e, we must be given with the two points $\left (x_{1},y_{1} \right )$ and $\left (x_{2},y_{2}\right )$

Since from the graph the two points closest to the line are $\left ( 10,36 \right )$ and $\left ( 22,12 \right ).$

Equation of line with two points closest to the line :

$y-y_{1}=m\cdot \left ( x-x_{1} \right )$

where m is the slope.

First we find the slope(m)= $\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$m=\frac{12-36}{22-10}$

on simplify we get, $m=-2$ .

Now, to find the equation of the line: $y-y_{1}=m\cdot \left ( x-x_{1} \right )$

$y-36=\left ( -2 \right )\cdot \left ( x-10 \right )$

Apply distributive property on right hand side, we get

$y-36=-2\cdot x+20$

Adding both sides by 36, we get

$y=-2x+20+36$

$y=-2x+56$ .

The equation for the linear model in the scatter plot obtained by the two closest point $\left ( 10,36 \right ) and \left ( 22,12 \right )$ closest to the line is,

$y=-2x+56$

7 0

2 years ago

Read 2 more answers

Multiply and divide fractions

storchak [24]

Answer:

I would need to see the problem.

4 0

3 years ago

Read 2 more answers

Given right triangle jkl, what is the value of cos(l)? five-thirteenths five-twelfths twelve-thirteenths twelve-fifths

kykrilka [37]

The value of the cosine ratio cos(L) is 5/13

<h3>How to determine the cosine ratio?</h3>

The complete question is added as an attachment

Start by calculating the hypotenuse (h) using

h^2 = 5^2 + 12^2

Evaluate the exponent

h^2 = 25 + 144

Evaluate the sum

h^2 = 169

Evaluate the exponent of both sides

h = 13

The cosine ratio is then calculated as:

cos(L) = KL/h

This gives

cos(L) =5/13

Hence, the value of the cosine ratio cos(L) is 5/13