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2 years ago

Calculate the circumference of the following circles. Give your answers to 1 decimal place.

Mathematics

2 answers:

prisoha [69]2 years ago

8 0

Answer:

a) 31.4 cm b) 22.0 cm c) 9.4 mm d) 18.8 m e) 1.6 m f) 28.3 cm g) 78.5 cm h) 9.7 m

Step-by-step explanation:

All it really is multiply the diameter which is the straight line through the center of the circle

C = d × \pi

DedPeter [7]2 years ago

4 0

The answers above are all correct

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5. g(x) = 7x, find g(-7)

kompoz [17]

Answer:

just plug in

g(x)=7x

g(-7)=7*(-7)

7*(-7)=-49

Step-by-step explanation:

3 0

3 years ago

If n is a positive integer, how many 5-tuples of integers from 1 through n can be formed in which the elements of the 5-tuple ar

erma4kov [3.2K]

Answer:

$\frac{(n+4)*(n+3)*(n+2)*(n+1)*n}{120}$

Step-by-step explanation:

Given

5 tuples implies that:

$n = 5$

$(h,i,j,k,m)$ implies that:

$r = 5$

Required

How many 5-tuples of integers $(h, i, j, k,m)$ are there such that $n\ge h\ge i\ge j\ge k\ge m\ge 1$

From the question, the order of the integers h, i, j, k and m does not matter. This implies that, we make use of combination to solve this problem.

Also considering that repetition is allowed: This implies that, a number can be repeated in more than 1 location

So, there are n + 4 items to make selection from

The selection becomes:

$^{n}C_r => ^{n + 4}C_5$

$^{n + 4}C_5 = \frac{(n+4)!}{(n+4-5)!5!}$

$^{n + 4}C_5 = \frac{(n+4)!}{(n-1)!5!}$

Expand the numerator

$^{n + 4}C_5 = \frac{(n+4)!(n+3)*(n+2)*(n+1)*n*(n-1)!}{(n-1)!5!}$

$^{n + 4}C_5 = \frac{(n+4)*(n+3)*(n+2)*(n+1)*n}{5!}$

$^{n + 4}C_5 = \frac{(n+4)*(n+3)*(n+2)*(n+1)*n}{5*4*3*2*1}$

$^{n + 4}C_5 = \frac{(n+4)*(n+3)*(n+2)*(n+1)*n}{120}$

<u><em>Solved</em></u>

6 0

3 years ago

why does the multiplication property of equality not allow us to divide both sides of an equation by zero

AlladinOne [14]

I’m not sure you can look this up

5 0

3 years ago

Which of the following steps can be performed so that the square root property may easily be applied to 2x2 = 16? (1 point)

Ivan

Answer:

$\Large \boxed{\mathrm{Option \ 2}}$

Step-by-step explanation:

$2x^2 =16$

The square root property requires a quantity squared by itself on one side of the equation. The only quantity squared is x, so divide both sides by 2 before applying the square root property.

The x variable should be isolated on one side of the equation. The x variable is squared so before performing the square root property where we take the square root of both sides, we divide both sides by 2, then take the square root of both sides.

Dividing both sides by 2.

$\displaystyle \frac{2x^2 }{2} =\frac{16}{2}$

$x^2 =8$

Taking the square root of both sides.

$\sqrt{x^2 } =\pm \sqrt{8}$

$x=\pm 2\sqrt{2}$

7 0

3 years ago

Read 2 more answers

Sales tax in Harris County is 7%. If the sales tax on a new car was $1400, what was the selling price of the car?

Dahasolnce [82]

Answer:

Bill of sale is not itemized or no sales tax has been paid to the state where the vehicle was purchased Sales tax is calculated using the following formula: (Vehicle Price – Trade in Value) x 6.25.

Step-by-step explanation:

3 0

3 years ago

Calculate the circumference of the following circles. Give your answers to 1 decimal place.​

Calculate the circumference of the following circles. Give your answers to 1 decimal place.