I have 100 pennies in a box. 20 of the pennies were minted in the 1990s, 20 were minted in the 1980s, 40 were minted before the 1980s and the rest were minted in this century.

What is the probability of choosing a penny that was minted in this century?

Answer:

The length of the arc is 2.25 units.

Step-by-step explanation:

The circumference of a circle is [tex]2\pi r[/tex], where r is radius of the circle.

Total angle of a circle in degree is 360°.

Length of central angle formula

[tex]\textrm{Arc length}=\frac{2\pi r}{360^\circ}\times \textrm{central angle degree}[/tex]

[tex]\Rightarrow \textrm{Arc length}=\frac{\textrm{circumference}}{360^\circ}\times \textrm{central angle degree}[/tex]

Given that,

A circle has a circumference of 5 units.An arc in the circle has a central angle of 162°.

Then,

[tex]\textrm{Arc length}=\frac{\textrm{circumference}}{360^\circ}\times \textrm{central angle degree}[/tex]

[tex]\textrm{Arc length}=\frac{5}{360^\circ}\times162^\circ[/tex]

                 [tex]=\frac{810}{360}[/tex]

                 [tex]=\frac{9}{4}[/tex]

                 =2.25 units.

The length of the arc is 2.25 units.

Answer:

14.14 units

Step-by-step explanation:

Klan Academy - i checked and it was correct.

Answer:

Fraction 2/3 has greatest value among the fractions 1/3,  2/3, and 2/9.

Greatest fraction to be determine among the fractions 1/3,  2/3, and 2/9.

What is the fraction?

Fraction is defined as the number of composition constitute the Whole.

Here,

1/3 = 0.33, 2/3 = 0.66 and 2/9 = 0.22.

2/3>1/3>2/9

Thus, fraction 2/3 has greatest value among the fractions 1/3,  2/3, and 2/9.

there is 2 definitions math and technical

Step-by-step explanation:

math=the magnitude of a real number without regard to its sign.

technical=the actual magnitude of a numerical value or measurement, irrespective of its relation to other values.

hope this helped

Answer: "distance from zero on a number line"

Explanation: Absolute value means "distance from zero" on a number line.

Since distance can either be 0 or positive,

absolute value is either 0 or positive.

Absolute value is represented with vertical bars on either side of the number.

An example is shown below, we have the absolute value of -5.

The absolute value of a number is just

the positive version of that number.

So the positive version of -5 is 5.

Answer:

.

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

[tex]\pi (5^{2})(13)+\frac{1}{3} \pi (5^{2})(12)[/tex]

The expression that represents the volume of the composite figure is Pi(5^2)(13) + One-third pi (5^2)(12).

The volume of the composite figure is the sum of the volume of the cone and the volume of the cylinder.

A cone is stacked on top of a cylinder.

They both share a circular base.

The total height of the composite figure is 25.

The height of the cylinder is 13 and the radius is 5.

The expression represents the volume, in cubic units, of the composite figure;

The volume of a cylinder = πr²h

π = 22/7

r = radius = 5

h = height = 13

The volume of a cylinder = π(5²)(13)

The volume of a cone = 1/3(πr²h)

π = 22/7

r = radius

h = height = 25 - 13 = 12

The volume of a cone = (1/3)(π(5²)(12)

The expression represents the volume, in cubic units, of the composite figure is;

= Pi(5^2)(13) + One-third pi (5^2)(12).

Hence, the expression that represents the volume of the composite figure is Pi(5^2)(13) + One-third pi (5^2)(12).

To learn more about the volume of a cone, please check: brainly.com/question/13705125

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c. 24/25

Step-by-step explanation:

[tex] \bigg(\frac{7}{25}, \: \frac{24}{25}\bigg) =\bigg(x, \: y\bigg) \\

\therefore x = \frac{7}{25}, \:\: y= \frac{24}{25}, \: r = 1\\

\because \sin \theta = \frac{y}{r}\\

\therefore \sin \theta = \frac{ \frac{24}{25}}{1}\\

\huge \purple {\boxed {\therefore \sin \theta =\frac{24}{25}}} [/tex]

Answer:

37

Step-by-step explanation:

To find the side length in the middle is 12. This is because A(12) squared + B(5) squared = C(13) squared.

Now that we know the side length, we can find x. A(35) squared + B(12) squared = C(x) squared.

35*35=1225.

12*12=144.

1225+144=1369

The root of 1369 is 37, so the value of x is 37.

Given:

The diameter of the circle P is 30 cm.

The radius of the circle P is 15 cm.

The measure of ∠RPS is 125°

We need to determine the arc length of QR.

Measure of ∠QPR:

The angles QPR and RPS are linear pairs.

Thus, we have;

[tex]\angle QPR + \angle RPS=180^{\circ}[/tex]

Substituting the values, we have;

[tex]\angle QPR + 125^{\circ}=180^{\circ}[/tex]

          [tex]\angle QPR =55^{\circ}[/tex]

Thus, the measure of ∠QPR is 55°

Arc length of QR:

The arc length of QR can be determined using the formula,

[tex]Arc \ length =(\frac{\theta}{360})2 \pi r[/tex]

Substituting [tex]\theta=55[/tex] and r =15, we get;

[tex]Arc \ length =(\frac{55}{360})2 (3.14)(15)[/tex]

[tex]Arc\ length = \frac{5181}{360}[/tex]

[tex]Arc \ length =14.4 \ cm[/tex]

Thus, the arc length of QR is 14.4 cm.

Hence, Option d is the correct answer.

Answer:

Parks, then dental offices, and finally diners

Step-by-step explanation:

Parks = 50%

Diners = 20%

Dental offices = 30%

Order the place in order of decreasing probability.

If this answer is correct, please make me Brainliest!

Answer:

1) Parks,

2) Dental offices,

3) Diners

Step-by-step explanation:

½ = 0.5

20% = 0.2

0.5 > 0.3 > 0.2

Parks, Dental offices, Diners

Answer:

6(x^2-3)

Step-by-step explanation:

I'm pretty sure the better deal would be shirt a

if I'm wrong don't get mad

Answer:

[tex]a^{11}[/tex]

Step-by-step explanation:

In solving for a⁵ × (a³)², we need to follow the rules of PEMDAS

Therefore, your equation would look like this:

a⁵ × (a³)² = a⁵ × [tex]a^{6\\[/tex]

When two variables are the same, we add their exponents when multiplying and we would subtract them if we divided.

With that information, your final answer would be

[tex]a^{11}[/tex] as 5+6 = 11

Hope this Helps!

In mathematics, the expression a⁵ × (a³)² simplifies to a¹¹ by following rules of exponents. Simplify within parentheses first to get a⁶, then combine to get a¹¹.

The term a⁵ × (a³)² represents the product of a number 'a' raised to the power of 5 and 'a' raised to the power of 3, squared. To simplify an expression like this, use the rule of exponents that states: aⁿ * aᵐ = aⁿ+ᵐ and for (a^n)^m, this equates as a^(n*m).

Start by simplifying the exponent in the parentheses first: (a³)² = a^(3*2) = a⁶. Then you're left with a⁵ × a⁶. Using the rules of exponents again, you add the powers together: a^(5+6) which simplifies to a¹¹.

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Answer:

b.[tex]9\sqrt{3}in[/tex]

Step-by-step explanation:

We are given that

Length of equilateral triangle=a=18 in

Base of oblique pyramid is an equilateral triangle.

We have to find the height of the triangular base of the pyramid

Height of the triangular base of the pyramid,h=[tex]acos\theta[/tex]

We know that each angle of equilateral triangle =60 degree

[tex]\theta=\frac{60}{2}=30^{\circ}[/tex]

Substitute the values

Height of triangular base of the pyramid,h=[tex]18cos30=18\times \frac{\sqrt 3}{2}[/tex]in

Using the value of

[tex]cos30^{\circ}=\frac{\sqrt 3}{2}[/tex]

Height of triangular base of the pyramid,h=[tex]9\sqrt{3}in[/tex]

Option b is true.

Answer:

It's the second option 9 √ 3 in

Step-by-step explanation:

just did it on edge

Answer:

n=23/30

Step-by-step explanation:

n-1/10=2/3

n=1/10+2/3

n=3/30+20/30

n=23/30

Answer:

N=23/30

Step-by-step explanation:

n-1/10=2/3

n=1/10+2/3

n=3/30+20/30

n=23/30

Answer:

The y- axis

Step-by-step explanation:

If it was (0,0) then the x and y would not matter but in this cause the answer is the y axis because it has a point to it but not the x. It is not Quadrant 2 or 1 because it does not matter what box it is in all that matters is where the points are located

oops I mest upStep-by-step explanation:

Answer:

6d+3.25c=42.50

d+c=8

Step-by-step explanation:

let's say d is for drinks and c is for candy.

each drink is $6

each candy is $3.25

the porblem told us our total $42.50

so if we mulitpy the cost of each drink and candy together

6d+3.25c=42.50

and

Since he bought a total of 8 drinks and candies, we know that d+c=8

Answer:

Let d = the number of drinks

Let c = the number of candies

​

6d+3.25c=42.50

d+c=8

​

Answer:

B & C

Step-by-step explanation:

Use the Pythagorean Theorem:   a^2 + b^2 = c^2

A) 18^2 + 24^2 = 2,088   |   42^2 = 1,764     [NOT A]

B) 33^2 +56^2 = 4,225   |   65^2 = 4,225     [B IS CORRECT]

C) 19^2 + 180^2 = (32,761) = 181^2 = (32,761)     [C IS CORRECT]

D) 3^2 + 4^2 = 25  |   7^2 = 49     [NOT D]

I hope this helped you ! In return, please deem this the most brainliest answer.

Answer:

4x+3=12

Step-by-step explanation:

Answer:

I think its 12.0 not sure

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

11.9781

This is simple if its 1-4 it goes down a number 5-9 it goes up

its 7 is the one to the right so the 9 to the left goes up which makes the whole number round up so the answer is 12 :)

I hope this helps :)

Answer:

The answer is 4.3

1.8 + 2.5 = 4.3

Hope it helped :)

Step-by-step explanation:

Please mark brainliest :)

Answer:

C

Step-by-step explanation:

Answer:

39.6

Step-by-step explanation:

Answer:

24cm

Step-by-step explanation:

The photo stays the same, the card changes. They must be proportional to each other.

15 by x cm means the 30 is going to be shortened, since it is being cut.

16 / 10 = 1.6

1.6 x 30 = 24

        or

[tex]\frac{16}{10} = \frac{x}{15} \\\\Divide\\\\\frac{16}{10} *\frac{15}{x} = \frac{240}{10x} = 24[/tex]

Answer:

the answer would be B because median is the middle. think of it like the middle of the highway where it has the small trees, thats called the median. therefore 5 is the number in the middle of the number sequence

Answer:

B

Step-by-step explanation:

Answer: (x+18)(x-3)

Step-by-step explanation:

It matched (sorry for no explanation)

The equivalent form of the given expression of the function is [tex]g(x)=(x+18)(x-3)[/tex].

Given information:

The given expression of the function is [tex]g(x) = x^2 + 15x -54[/tex].

We have solve the expression of function to get a relevant expression.

The function is a quadratic polynomial function. So, here we can factorize it as,

[tex]g(x) = x^2 + 15x -54\\g(x)=x^2+18x-3x-54\\g(x)=x(x+18)-3(x+18)\\g(x)=(x+18)(x-3)[/tex]

Therefore, the equivalent form of the given expression of the function is [tex]g(x)=(x+18)(x-3)[/tex].

For more details about polynomial, refer to the link:

https://brainly.com/question/3204522

Answer:

Bryan pizza slices: x

Daniel pizza slices: y

Total slices: 24

[tex]y=7x\\y+x=24\\\\7x+x=24\\8x=24\\x=3[/tex]

Daniel ate 21 slices of pizza.

Bryan ate 3 slices of pizza.

Answer:

d

Step-by-step explanation:

Answer:

122

Step-by-step explanation:

hope thats itbecause i just times 16x7 \_(^-^)_/

Answer:

8 schools

Step-by-step explanation:

read