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3 years ago

Find the value of the variables in each figure. explain your reasoning

Mathematics

1 answer:

V125BC [204]3 years ago

7 0

Answer:

x=24

y=144

Step-by-step explanation:

y= 144(corresponding angle)

y =(x+12) ( straight angle)

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Zachary is making dumplings. If he uses cup of dough for each dumpling, how

LekaFEV [45]

Answer:

11 cups of dough

Step-by-step explanation:

1 cup x 11 dumplings = 11 cups of dough needed

6 0

3 years ago

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Find the volume of a cylinder with a diameter of 6 inches and a height that is three times the radius. Use pi on your calculator

Virty [35]

ANSWER
$V=254.47in^3$

EXPLANATION

The volume of a cylinder is given by the formula:

$V=\pi \: {r}^{2} h$

The given cylinder has diameter 6. This means that, the radius is

$r = \frac{6}{2}$

$r = 3cm$

The is height is

$h = 3r$

$h = 3(3) = 9cm$

We substitute the values into the formula to obtain;

$V=\pi \: {3}^{2} \times 9$

$V=81\pi$

$V=254.46900494$

The volume is $254.47in^3$ to the nearest hundredth

7 0

3 years ago

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Find the radius of a circle with an area of 27 pie cm

hram777 [196]

Area of a circle is = PI x r^2

Area = 27 PI

This means the radius would be the square root of 27:

√27 = 3√3

The answer is F.

8 0

3 years ago

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What is the inverse of cube root x/3 +1

Ostrovityanka [42]

Answer:

${f}^{ - 1} (x) = 3 {x}^{2} - 3$

Step-by-step explanation:

We want to find the inverse of

$y = \sqrt[3]{ \frac{x}{3} + 1}$

We interchange x and y to get:

$x= \sqrt[3]{ \frac{y}{3} + 1}$

We solve for y;

${x}^{2} = \frac{y}{3} + 1$

Multiply through by 3

$3 {x}^{2} = y + 3$

Subtract 1 from both sides:

$y = 3 {x}^{2} - 3$

Therefore the inverse is

${f}^{ - 1} (x) = 3 {x}^{2} - 3$

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3 years ago

One fifth as a percentage

Sidana [21]

When dealing with percentages it is often much easier to convert it to a decimal (mostly because a lot of people are uncomfortable working with fractions) but in this case, I suggest dividing 1 into 5 [hint hint fractions are just glorified division in the long run] and after you have done that multiply by 100. This will get you your answer.

4 0

3 years ago