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3 years ago

Basketball A basketball player makes 8 of 12 free throws

1 answer:

4 0

She will make 10 out of the 15 free throws.

Work:
8/12 = x/15

- Cross-multiply
12 • x = 12x
8 • 15 = 120

- Divide
12x ÷ 12 = x
120 ÷ 12 = 10

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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)

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

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

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

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3 years ago

A big cruise ship dropped anchor off the Caribbean island of Barbuda. The heavy anchor was released from a height of

WINSTONCH [101]

54+9= 63 m = distance and time=35 sec hence, speed= 63/35=9/5=1.8 m/s

time taken to reach water surface= distance/speed=54/1.8=30 sec

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3 years ago

One tank is filling at a rate of 5 gallon per 7 hour. A second tank is 8 10

seraphim [82]

Answer:

the second one

Step-by-step explanation:

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3 years ago

When written in standard form, the product of (3+x) and (2x-5)

Mariulka [41]

Answer:

2x^2+x-15

Step-by-step explanation:

6x-15+2x^2-5x

2x^2+x-15

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3 years ago

Hector surveyed all the sixth graders at his school about their favorite after-school activity.The table shows the results that

sergejj [24]

Ok first add all of the results together 44+55+55+66=220 Then found out how many percent each number is of 220. 44 is 20% of 220, 55 is 25%, 55 is 25%, 66 is 30%

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3 years ago