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3 years ago

If a cone-shaped water cup holds 23 cubic inches and has a radius of 1 inch, what is the height of the cup?

Mathematics

1 answer:

schepotkina [342]3 years ago

7 0

23 inches is the answer

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the walters backyard pool is rectangular the pool measures 10 feet long and 8 feet wide. If the length of the backyard is 35 fee

Vlad1618 [11]

Answer:28

Step-by-step explanation:

10×

5 0

3 years ago

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Convert from rectangular to polar coordinates: note: choose rr and θθ such that rr is nonnegative and 0≤θ<2π0≤θ<2π (a)(9,0

DochEvi [55]

Answer:

Step-by-step explanation:

Convert rectangle (x , y) to polar coordinates ( r , θ)

$x=r \cos \theta, y= r \sin \theta$

$r=\sqrt{x^2+y^2} , \theta =tan^-^1 (\frac{y}{x} )$

a) converts (9, 0) to polar coordinates ( r , θ)

$r=\sqrt{x^2+y^2} \\\\=\sqrt{9^2+0} \\\\=9$

$\theta= \tan^-^1 (\frac{0}{9} )\\\\=0$

b) Convert $(18,\frac{18}{\sqrt{3} } )$ to polar coordinates ( r, θ)

$r = \sqrt{18^2+(\frac{18}{\sqrt{3} })^2 } \\\\=\sqrt{324+108} \\\\=\sqrt{432}$

$\frac{x}{y} \theta = \tan^-^1(\frac{\frac{18}{\sqrt{3} } }{18} )\\\\= \tan ^-^1(\frac{1}{\sqrt{3} } )\\\\= \frac{\pi}{6}$

c) converts (-5, 5) to polar coordinates ( r , θ)

$r =\sqrt{(-5)^2+(5)^2} \\\\=\sqrt{50} \\\\=5\sqrt{2}$

$\theta=\tan^-^1(\frac{5}{-5} )\\\\= \tan^-^1(-1)\\\\=\frac{3\pi}{4}$

d) converts (-1, √3) to polar coordinates ( r , θ)

$r=\sqrt{(-1)^2+(\sqrt{3})^2 } \\\\= \sqrt{4} \\\\=2$

$\theta=\tan^-^1(\frac{\sqrt{3} }{-1} )\\\=\tan^-^1(-\sqrt{3} )\\\\=\frac{2\pi}{3}$

$= \frac{2\pi}{\sqrt{3} }$

6 0

3 years ago

Amit found and labeled the areas of each of the faces of Which area calculation did Amit calculate incorrectly?

Gelneren [198K]

Answer:

Step-by-step explanation: I got it right

5 0

3 years ago

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Last Saturday, Niki went on a bike ride from her house to the park. The total distance she travelled on her bike was 3 1/5 miles

Mnenie [13.5K]

Answer:

D. $\frac{16}{5}$

Step-by-step explanation:

$3\frac{1}{5}$

To rewrite a mixed number as an improper fraction, first, multiply the whole number by the denominator.

$3*5=15$

Then, add this number to the numerator.

$15+1=16$

This number is now the numerator of the fraction. The denominator stays the same.

$\frac{16}{5}$

I hope this helps!

5 0

3 years ago

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Josh buys cucumbers that cost $0.62 per pound. He pays $2.79 for the cucumbers. How many pounds of cucumbers does Josh have?

borishaifa [10]

Answer:

Josh bought 4.5 pounds of cucumbers.

Step-by-step explanation:

2.79 divided by the cost per pound, .62, is 4.5. Therefore he bought 4.5 pounds of cucumbers

6 0

3 years ago