All categories

3 years ago

What is 32 = 3.2c so what is the letter c

2 answers:

5 0

C = 10

because if you multiply 3.2 times 10, the decimal will move one place to the right, making the equation true. 32 = 32.

Elena-2011 [213]3 years ago

4 0

Whatever you do to one side, you have to do to the other.
32=3.2c
We need c by itself, so we need to divide both sides by 3.2.
32/3.2=10
C=10
Let’s make sure c equals ten by putting in ten for c.
3.2(10)=32
32=32
C=10

You might be interested in

The three circles are all centered at the center of the board and are of radii 1, 2, and 3, respectively.Darts landing within th

FromTheMoon [43]

Answer:

a) P=0.262

b) P=0.349

c) P=0.215

d) E(x)=12.217

e) P=0.603

Step-by-step explanation:

The question is incomplete.

Complete question: "The three circles are all centered at the center of the board (square of side 6) and are of radii 1, 2, and 3, respectively.Darts landing within the circle of radius 1 score 30 points, those landing outside this circle, butwithin the circle of radius 2, are worth 20 points, and those landing outside the circle of radius2, but within the circle of radius 3, are worth 10 points. Darts that do not land within the circleof radius 3 do not score any points. Assume that each dart that you throw will land on a point uniformly distributed in the square, find the probabilities of the accompanying events"

(a) You score 20 on a throw of the dart.

(b) You score at least 20 on a throw of a dart.

(d) The expected value on a throw of a dart.

(e) Both of your first two throws score at least 10.

(f) Your total score after two throws is 30.

As the probabilities are uniformly distributed within the area of the board, the probabilities are proportional to the area occupied by the segment.

(a) To score 20 in one throw, the probabilities are

$P(x=20)=P(x=20\&30)-P(x=30)=\frac{\pi r_2^2}{L^2} -\frac{\pi r_1^2}{L^2}\\\\P(x=20)=\frac{\pi(r_2^2-r_1^2)}{L^2}=\frac{3.14*(2^2-1^2)}{6^2}=\frac{3.14*3}{36} =0.262$

(b) To score at least 20 in one throw, the probabilities are:

$P(x\geq 20)=P(x=20\&30)=\frac{\pi r_2^2}{L^2}=\frac{3.14*2^2}{6^2} =0.349$

$P(x=0)=1-P(x>0)=1-\frac{\pi r_3^2}{L^2} =1-\frac{3.14*3^2}{6^2} =1-0.785=0.215$

(d) Expected value

$E(x)=P(0)*0+P(10)*10+P(20)*20+P(30)*30\\\\E(x)=0+\frac{\pi(r_3^2-r_2^2)}{L^2}*10+ \frac{\pi(r_2^2-r_1^2)}{L^2}*20+\frac{\pi(r_1^2)}{L^2}*30\\\\E(x)=\pi[\frac{(3^2-2^2)}{6^2}*10+\frac{(2^2-1^2)}{6^2}*20+\frac{1^2}{6^2}*30]\\\\E(x)=\pi[1.389+1.667+0.833]=3.889\pi=12.217$

(e) Both of the first throws score at least 10:

$P(x_1\geq 10; x_2\geq 10)=P(x\geq 10)^2=(\frac{\pi r_3^2}{L^2} )^2=(\frac{3.14*3^2}{6^2} )^2=0.785^2=0.616$

(f) Your total score after two throws is 30.

This can happen as:

1- 1st score: 30, 2nd score: 0.

2- 1st score: 0, 2nd score: 30.

3- 1st score: 10, 2nd score: 20.

4- 1st score: 20, 2nd score: 10.

1 and 2 have the same probability, as do 3 and 4, so we can add them.

$P(2x=30)=2*P(x_1=30;x_2=0)+2*P(x_1=20;x_2=10)\\\\P(2x=30)=2*P(x_1=30)P(x_2=0)+2*P(x_1=20)P(x_2=10)\\\\P(2x=30)=2*\frac{\pi r_1^2}{L^2}*(1-\frac{\pi r_3^2}{L^2})+2*\frac{\pi(r_2^2-r_1^2)}{L^2}*\frac{\pi(r_3^2-r_2^2)}{L^2}\\\\P(2x=30)=2*\frac{\pi*1^2}{6^2}*(1-\frac{\pi*3^2}{6^2})+2*\frac{\pi(2^2-1^2)}{6^2}*\frac{\pi(3^2-2^2)}{6^2}\\\\P(2x=30)=2*0.872*0.215+2*0.262*0.436=0.375+0.228=0.603$

6 0

3 years ago

The flag of a country contains an isosceles triangle (recall that an isosceles triangle contains two angles with the same measur

tiny-mole [99]

Two angles are 67.5 degrees and the 3rd angle is 45 degrees.

Formula: 2x + 45 = 180

3 0

3 years ago

A shape is made of 12 right triangles of equal size each right triangle has a base of 4 centimeters and a height a 5-cm what is

mart [117]

Answer:

$120\ cm^2$

Step-by-step explanation:

The area $(A_t)$ of a triangle is equal to half the product of its length (L) because of its height (h).

$A_t = 0.5h*L$

The base of the triangles is $L = 4\ cm$

The height of the triangles is $h = 5\ cm$

Then the area of one of the triangles is:

$A_t = 0.5(4)(5)\\A_t = 10\ cm^2$

The figure is formed by 12 equal triangles, then the area of the figure $(A_f)$ is:

$A_f = 12(A_t)\\A_f = 12(10)\\A_f = 120\ cm^2$

3 0

3 years ago

Read 2 more answers

ms rivera went to the store and spent $10.00 on apples. apples are on sale for $2.00 per pound. how many pounds did ms rivera bu

MaRussiya [10]

Answer:

She bought 5 pounds.

Step-by-step explanation:

if she spent 10 dollars and its 2 dollars per pound that means that you have to divide 10 by 2 in order to get how many pounds you can buy for 10 dollars.

If you think about it if you want 2 pounds then you multiply 2 by 2 to get four because its 2 dollars per pound and you need 2 pounds. so since you don't know the number of pounds you fill in the blanks and do 10/2 to get 5.

4 0

2 years ago

Read 2 more answers

A store sells boxes of juice in equal size package Garth bought 18 boxes Rico Ball 36 boxes in my 45 boxes what is the greatest

monitta

I'm not sure I'm understanding the wording of the question, but if it's this:

Juice boxes come in a package with multiple juice boxes in each package. Three people bought 18, 36, and 45 juice boxes. What is the largest possible number of juice boxes per package?

Then the problem is just an involved way of asking what the greatest common factor of 18, 36, and 45 is, and the answer is 9, the difference between 36 and 45, which are both multiples of 9. Note that 18 is also a multiple of 9. One way to find the greatest common factor of three numbers is to factor all of them and find which prime factors they have in common.

7 0

3 years ago