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Juliette [100K]

3 years ago

8

Find the general solution for cos x = 0, where n is an integer.

1 answer:

Romashka-Z-Leto [24]3 years ago

6 0

First we solve this equation:
x = cos^-1(0) = pi/2 and 3pi/2

Now, this is the answer for angles between 0 and 2pi

but there are "negative angles" and angles larger than 2pi
so the general solution that includes all of these cases is:

x = pi/2 + n*pi

here n is any integer.

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The product of a number and 9 is -450

Softa [21]

Answer:

-50

Well to get the answer of the product of a number and 9 is -450. You must divide 9 by -450 using long divison.

6 0

3 years ago

Please answer the question

maw [93]

The answer would be 208 if you find the area of each quadrilateral and add them together.

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3 years ago

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The senior class want to play a practical joke on the principal, who was a former college basketball star. They want to fill his

steposvetlana [31]

The number of basketball that will fill up the entire office is <u>approximately 16,615.</u>

<em><u>Recall:</u></em>

Volume of a spherical shape = $\frac{4}{3} \pi r^3$

Volume of a rectangular prism = $l \times w \times h$

<em><u>Given:</u></em>

Diameter of basketball = 9.5 in.

Radius of the ball = 1/2 of 9.5 = 4.75 in.

Radius of the ball in ft = 0.4 ft (12 inches = 1 ft)

Dimension of the office (rectangular prism) = 20 ft by 18 ft by 12 ft

First, find the volume of the basketball:

Volume of ball = $\frac{4}{3} \pi r^3 = \frac{4}{3} \times \pi \times 4.75^3\\$

Volume of basketball = $448.92 $ in^3$

Convert to $ft^3$

$1728 $ in.^3 = 1 $ ft^3$

<em>Therefore,</em>

Volume of basketball = $\frac{448.92}{1728} = 0.26 $ ft^3$

Find the volume of the office (rectangular prism):

Volume of the office = $20 \times 18 \times 12 = 4,320 $ ft^3$

Number of basket ball that will fill the office = Volume of office / volume of basketball

<em>Thus:</em>

Number of basket ball that will fill the office = $\frac{4,320}{0.26} = 16,615$

Therefore, it will take approximately <u>16,615 balls</u><u> to fill up the entire office</u>.

Learn more here:

brainly.com/question/16098833

6 0

3 years ago

A pet store sells tropical fish. One week they sell 15 anglefish, 9 tetras, 42 guppies. The owner uses ratios of sales to compar

Ivahew [28]

Answer: 15:42or simplified 5:14

Step-by-step explanation:

15 angelfish to 42 guppies

15/3= 5

42/3=14

so the ratio of 15:42 is equal to 5:14

5 0

3 years ago

Jerry wants to buy 4 Michelin tires. Each tire costs $213.99. Calculate his total price if the tax rate is 7.25%.

arlik [135]

Answer:

$918.02

Step-by-step explanation:

As each tire costs $213.99, you will be multiplying that by 4:

$213.99*4 = $855.96

Now you will have to add the tax to the price. You will do the following:

$855.96*.0725 = 62.0571

You will round that to $62.06

$855.96+$62.06

The total would be $918.02

3 0

3 years ago