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3 years ago

Find the area and the circumference of the circle with the radius 6yd.

Mathematics

1 answer:

fgiga [73]3 years ago

3 0

Answer:

Step-by-step explanation:

The formula of an area of a circle:

$A=\pi r^2$

The formula of a circumference of a circle:

$C=2\pi r$

r - radius

We have r = 6yd.

Substitute:

$A=\pi(6^2)=36\pi\ yd^2$

$C=2\pi(6)=12\pi\ yd$

If you want round the answers, then use π ≈ 3.14

$A\approx(36)(3.14)=113.04\ yd^2$

$C\approx(12)(3.14)=37.68\ yd$

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Item 1 A bag contains 7 blue cards, 4 green cards, 6 red cards, and 8 yellow cards. You randomly choose a card. a. How many poss

egoroff_w [7]

Answer:

4 possible outcomes

Step-by-step explanation:

we know that

The probability of an event is the ratio of the size of the event space to the size of the sample space.

The size of the sample space is the total number of possible outcomes

The event space is the number of outcomes in the event you are interested in.

Let

x------> size of the event space

y-----> size of the sample space

$P=\frac{x}{y}$

In this problem

The probability of choose a blue card is

$x=7$

$y=7+4+6+8=25$

substitute

$P=\frac{7}{25}$

The probability of choose a green card is

$x=4$

$y=7+4+6+8=25$

substitute

$P=\frac{4}{25}$

The probability of choose a red card is

$x=6$

$y=7+4+6+8=25$

substitute

$P=\frac{6}{25}$

The probability of choose a yellow card is

$x=8$

$y=7+4+6+8=25$

substitute

$P=\frac{8}{25}$

The sum of the probabilities of the 4 possible outcomes is equal to

$\frac{7}{25}+\frac{4}{25}+\frac{6}{25}+\frac{8}{25}=\frac{25}{25}$ ----> represent the 100%

4 0

3 years ago

9x + Зу = -3 2х - у = -4

Irina18 [472]

Answer: (-1, 2)

explanation:

3(2x-y=-4)
6x-3y=-12

9x+3y=-3
6x-3y=-12

15x=-15
x=-1

2(-1) - y = -4
-2-y=-4
-y=-2
y=2

5 0

2 years ago

Peter is buying office supplies he is able to buy three packages of paper in for staplers for $40 or he is able to buy five pack

Damm [24]

Answer:

Cost of package of paper = 4$

Cost of stapler = 7$

Explanation:

Consider the cost of package of paper = x and that of stapler = y.

Now, we are given that cost of 3 paper packages and 4 staplers = 40$

Hence we get, 3x + 4y = 40 as 1st equation.

we are also given, cost of 5 paper packages and 6 staplers = 62$

Hence, the second equation is 5x + 6y = 62

Now, solving the two equations by method of elimination, we first equate coefficients of any one variable say x by multiplying 1st equation by 5 and second by 3 we get ->

15x + 20y = 200

15x + 18y= 186

Subtracting the two we get y = 7 and substituting this value of y in first equation we get x = 4

which gives the required cost of one paper package = x = 4$

and one stapler = y = 7$

7 0

3 years ago

Convert. 23 ft = yd ft

liq [111]

Answer:

7 yards converted {}

8 0

3 years ago

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tangare [24]

Answer:

-2,9

Step-by-step explanation:

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8 0

2 years ago