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option C

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Answer:

[tex]\fbox{Area = 1017.36 sq.cm.}[/tex]

Step-by-step explanation:

Given:

circumference of circular dinner plate= 113.04 cm

To find:

Area of dinner plate = ?

Solution:

circumference = 113.04 cm.

we know that circumference = 2πr

[tex]2 \pi r = 113.04 \: cm \\ r = \frac{113.04 }{2 \pi} \\ r = \frac{113.04 }{2 \times 3.14} \\r = \frac{113.04 }{6.28} \\ \fbox{r = 18 \: cm}[/tex]

We know that,

Area of circle = πr²

now substituting value of r in above formula,

[tex] \pi {r}^{2} = 3.14 \times 18 \times 18 = 1017.36 \: {cm}^{2} [/tex]

[tex] \fbox{Area = 1017.36 sq.cm.}[/tex]

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The expected value of the game is the mean value of the game

The expected value of the game is $1

There are 13 spades in a deck of card of 52

So, the probability of selecting a spade is:

P(Spade) = 13/52

Simplify

P(Spade) = 1/4

Winning = $7

The probability of not selecting a spade is:

P(Not spade) = 1 - 1/4

Simplify

P(Not spade) = 3/4

Lose = $1

The expected value of the game is:

[tex]E(x) = \sum x * P(x)[/tex]

This gives

[tex]E(x) = \frac 14 * 7 - 1 * \frac34[/tex]

Simplify

[tex]E(x) = \frac 74 - \frac34[/tex]

Evaluate

[tex]E(x) = 1[/tex]

Hence, the expected value of the game is $1

Read more about expected values at:

https://brainly.com/question/15858152

Expression: 5x + 12

Coefficients (The number directly next to the variable): 5

Variable (A letter that stands for a unknown number): x

Term (A single mathematical expression): 5x , 12

Constant (A term that has no attached variables): 12

Answer:

Step-by-step explanation:

Answer:

[tex] \frac{19}{3 } \: or \: 3 \frac{4}{5} [/tex]

Step-by-step explanation:

Change the mixed number into a regular fraction.

[tex] \frac{23}{5} - \frac{4}{5} [/tex]

Subtract the numerator.

[tex] \frac{19}{5} [/tex]

As a mixed number:

[tex]3 \frac{4}{5} [/tex]

Answer:

Richard= 16 years old

Teo= 7 years old

Step-by-step explanation:

Let Richard's and Teo's age be R and T years old respectively.

[tex]\textcolor{steelblue}{\text{Form 2 equations based on given information:}}[/tex]

R +T= 23 -----(1)

R= 2T +2 -----(2)

[tex]\textcolor{steelblue}{\text{Solving by substitution:}}[/tex]

Substitute (2) into (1):

(2T +2) +T= 23

3T +2= 23

3T= 23 -2

3T= 21

T= 21 ÷3

T= 7

Substitute T= 7 into (2):

R= 2(7) +2

R= 14 +2

R= 16

Thus, Richard is 16 years old and Teo is 7 years old.

Answer:

a = -2

b =3

c =2

Step-by-step explanation:

f(x) = 2 + 3x – 2x²

Rewrite in descending powers of x

-2x^2 +3x+2

The form is ax^2 +bx +c

a = -2

b =3

c =2

Answer:

m<BAC = 85°

Step-by-step explanation:

The measure of an inscribed angle is half the measure of its intercepted arc.

m<BAC = 170°/2

m<BAC = 85°

Answer: A (-7,-4)

Step-by-step explanation:

Took the same test

2. i) 1/2 × x

x/2

ii) 1/5 × x

x/5

iii)1-(1/2+1/5)

1- (5/10+2/10)

10/10- 7/10

3/10

3/10×x

3x/10

3. i)15× $p

15p

ii) cost for 4 bananas= $g

cost for 1 banana = $g÷4

cost for 16 bananas = $g/4 ×16

=$g×4

=4g

iii)

Cost for an orange= $p

Cost for 5 oranges = 5×$p

Cost for 1 banana= $g÷4

Cost for 2 bananas = 2× ($g÷4)

Add both of the expressions to get the total cost for 2 bananas and 5 oranges.

(2×$g÷4)+(5×$p)

($g×2/4)+(5×$p)

2/4 can be simplified as 1/2

g×1/2+5p

(g/2)+5p

Hope this helps!

for the answer most likey it would be from the range of 88 to 66 that would make a little sence corecct me if im wrong

Step-by-step explanation:

Answer:

I'm so confused. I don't get the question. I know the options are:

A) 3,4, 5

B) 2, 10, 4

C) 2, 10, 3

D) 2, 15, 2

but I don't understand the question. Could you maybe be a bit more specific?

Answer:

Step-by-step explanation:

4.5 ÷ 2

[tex]\frac{9}{2}[/tex]  ÷ 2

[tex]\frac{9}{2} * \frac{1}{2}[/tex]

9 / 4

Answer:

y is equal to 4 if that's what ur asking for

Answer:

16 if ur asking for y^2+4=20

Step-by-step explanation:

Answer:

x = 15

Step-by-step explanation:

x + 2x - 2 + 2x - 2 = 71

Solve for x, you get 15.

Answer:

Step-by-step explanation:

Considering a linear function for the radius, we have that:

A linear function is modeled by:

[tex]y = mx + b[/tex]

In which:

The volume of a sphere of radius r is given by:

[tex]V = \frac{4\pi r^3}{3}[/tex]

In this problem, radius r increases at the rate of 0.03 inches per second and that r=48, hence it is represented by the following linear function:

[tex]r(t) = 0.03t + 48[/tex]

Thus, the volume of the sphere is given by:

[tex]V = \frac{4\pi r(t)^3}{3}[/tex]

[tex]V(t) = \frac{4\pi(0.03t + 48)^3}{3}[/tex]

After 300 seconds, the volume in cubic inches is given by:

[tex]V(300) = \frac{4\pi(0.03(300) + 48)^3}{3} = 775735[/tex]

More can be learned about linear functions at https://brainly.com/question/24808124

Answer:

16 triangles I am pretty sure.

Step-by-step explanation:

Answer:

where is the figure

pls send it

Answer:

10%

Step-by-step explanation:

1/10  = 10%

Answer:

fourteen thousand six hundred and eighty nine

Step-by-step explanation:

1 is in the ten thousand group, four is in the thousands, six is in the hundreds, eight is in the tens, nine is in the ones. i hope this helped :)

Answer:

Fourteen-thousand and six-hundred eighty nine.

Step-by-step explanation:

Let the larger no be = a

Difference of the numbers = a - 32

As per the question;

(a + 32) = 5(a - 32)

⇒ a + 32 = 5a - 160

⇒ 128 = 4a

⇒ a = 32

∴ The larger no is 32.

Answer:

Ron owns 1.25% of shares.

Step-by-step explanation:

400/50000 comes out to 0.0125 which can be converted into a decimal by moving the decimal two places to the right.

Answer:

x = 15

Step-by-step explanation:

FD and AC are parallel because both are perpendicular to EB. Angle EDF and Angle DCA are congruent because they are corresponding angles. The measure of Angle DCA is also 3x because congruent angles have the same measure.

Now consider Triangle ACD. Because the sum of all three measures of the angles in a triangle add up to 180°.

x + 8x + 3x = 180°

12x = 180°

12x/12 = 180/12

x = 15

Cost is 6 USD

Selling price is 6 + markup

Markup = 6 * 120 /100 put this expression and check again selling price

Selling price =  6 + (6 * 120) / 100

= 13,2 usd

Step-by-step explanation: Range is where you put the numbers from greatest to least, I believe you can also do least to greatest. Mode is whenever you have your numbers in order form greatest to least the number that shows up the most is the mode.   HOPE THIS HELPED !!!

Answer:

theta= 1.085

Step-by-step explanation:

Answer:

20 years time

Step-by-step explanation:

Answer:

6.0

Step-by-step explanation:

practice many times