If the area of a circle is 64 pie square centimeters, then what is its radius

Step-by-step explanation:

Volume of Barrel : [pi x h(r² + 2R²)] / 3

Barrel A : 2pi(r² + 2R²)]/ 3

Barrel B : 5pi(r² + 2R²)]/ 3

Barrel A + Barrel B = 532

5pi(r² + 2R²)/3 + 2pi(r² + 2R²)/3 = 532

5pi(r² + 2R²) + 2pi(r² + 2R²) = 1596

7pi(r² + 2R²) = 1596

pi(r² + 2R²) = 228

Barrel A = 2 x 228/3 = 76 ft³ SMALLER

Barrel B = 5 x 228/3 = 380 ft³

hope it's helpful, I'm not sure if (r) and (R) are the same if the two barrels has a similar shape. but if they're the same, then the answer is correct

Answer:

( - y - 3 , - x - 1 )

Step-by-step explanation:

( x , y ) ----> ( - y , x ) ----> ( - y - 3 , x + 1 ) ----> ( - y - 3 , - x - 1 )

Answer:

$91.30

Step-by-step explanation:

Hours worked on Monday: 8.30 hours (4.15 in the morning and 4.15 in the afternoon)

8.30 hours x $11 per hour: $91.30

Answer:

21.75

Step-by-step explanation:

Because 6.00+6.25=12.25+7.00=19.75+8.00=27.75

Answer:

4 quarters

Step-by-step explanation:

4 quarters = $1

14 nickels = $0.70

Their sum of ages is 45

So

Therefore

Step-by-step explanation:

let the tala's age be x and nabil's be y

x+y=45(equation 1)

x=y+27

x-y=27(equation 2)

solving 1 and 2 equation

x+y=45

x-y=27

______

2x=18

x=9

therefore the talas age is 9

putting the value of x in equarion 1

9+y=45

y=45-9

y=36

Answer:

the answer is 56

Step-by-step explanation:

first off you need to add every number up which adds to be 336,

then you divide by the number of pieces in the data which in this case is 6,

366 divided by 6 is 56

I HOPE THIS HELPED!

Answer:

8p+5p

=13p

=6a-5b procesa

Answer:

B and B

Step-by-step explanation:

For the first problem, the range is simply the data set rearranged from smallest to largest.

For the second problem, you just have to cross multiply each variable in order to expand the equation and get an answer.

The answer for that one is [tex]12x^{3} -42x^{2} +8x+55[/tex]

Answer:

480 in^3

Step-by-step explanation:

Multiplying the length of each of the sides together gives the volume, so [tex]12*4*10=480[/tex]

The answer is B i took the quiz

Answer:

y=1/3x+2

Step-by-step explanation:

y=mx+b form is where m = the slop and b = the y interecept.

Y - Intercept

we can tell the y-intercept is 2 just by looking at the graph

Slope

For the slope, we can pick two points on the line, in this case, I will pick the points (0,2) and (3,3). Then, we can use the slope formula (y2-y1)/(x2-x1) to find the points, and after plugging the points in, we get 1/3, which is the slope

Plugging the numbers into slop intercept form

So we now know the slope is 1/3 and y-intercept is 2, so after plugging it into slope-intercept form (y=mx+b), we get y=1/3x+2

Answer:

8.60 inches

Step-by-step explanation:

The equation for circumference is 2πr. So we can solve for r (radius).

27inches=2πr

divide both sides by 2π :

r=4.299

The equation for diameter is 2*r so we just multiply

4.299 *2 = 8.598

since we have to round to the hundredth place the answer would be

8.60

The approximate diameter of the circular clock is 8.60 inches.

Circumference of a circle is defined as the total length of the boundary of the circle.

The concept is same as the perimeter for straight sided figures.

Given that,

Circumference of the clock = 27 inches

The formula to find the circumference is,

C = 2πr

where r is the radius.

2r is the diameter.

2πr = 27

2r = 27 / 3.14

2r = 8.5987 ≈ 8.60

Hence the diameter of the clock is 8.60 inches.

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Answer:

2, 0.2, 0.02

The first number is 2000.  The term to term rule is 'divide by 10'.

Step-by-step explanation:

To calculate the next term, divide the previous term by 10:

2000 ÷ 10 = 200

200 ÷ 10 = 20

Therefore, the next three terms will be:

20 ÷ 10 = 2

2 ÷ 10 = 0.2

2 ÷ 10 = 0.02

Term to term rule

To work out the term to term rule, give the initial number of the sequence and then describe the pattern:

The first number is 2000.  The term to term rule is 'divide by 10'.

Answer:

The correct answers are:

A.) 110 - 16 = 10h

B.) 110 = 16h + 10

Step-by-step explanation:

Sylvie needs $110 for a concert ticket and already has $16 in her pocket. She can make up the difference by working an additional 10 hours at her job.

To earn the $110 required for the concert ticket, she'll need to work 10 hours in addition to the $16 she already has.

As a result, the following calculation can be used to calculate her hourly rate:

110 = 16 + 10h

110 - 16 = 10h

I hope this helps! ^-^

Answer:

CD = 16

Step-by-step explanation:

Segments EF and EC are tangent and secant respectively to the circle drawn from external point E.

Thus, by tangent-secant theorem:

[tex]ED\times EC= EF^2[/tex]

[tex]\implies x(x+x+7)= (15)^2[/tex]

[tex]\implies 2x^2+7x= 225[/tex]

[tex]\implies 2x^2+7x-225=0[/tex]

Comparing above quadratic equation with [tex]ax^2+bx+c=0[/tex], we find:

a = 2, b = 7, c = -225

Now, we find the value of the discriminant

[tex]\implies b^2-4ac= (7)^2-4(2)(-225)= 1849[/tex]

Now, by quadratic formula:

[tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

[tex]\implies x=\frac{-7\pm\sqrt{1849}}{2(2)}[/tex]

[tex]\implies x=\frac{-7\pm (43)}{4}[/tex]

[tex]\implies x=\frac{-7+ 43}{4}\: or\:x=\frac{-7- 43}{4} [/tex]

[tex]\implies x=\frac{36}{4}\: or\:x=\frac{- 50}{4} [/tex]

[tex]\implies x=9\: or\:x=-12.5 [/tex]

x represents length, so it can't be negative.

[tex]\implies x\neq -12.5[/tex]

[tex]\implies x=9[/tex]

CD = x + 7

-> CD = 9 + 7

-> CD = 16

Step-by-step explanation:

Area =5m×11m=55m²

perimeter =(11m+5m)×2=52m

hope it helps!

Answer:

It is 1.1

Step-by-step explanation:

-hope this helps.

Answer:

19

Step-by-step explanation:

(5x+37)+(3x-9)=180

8x= 152

x=19

The length of the arc which subtends a [tex]\pi/3[/tex] radians angle on a circle with 6 ft radius is given by: Option C: 6.3 feet approximately.

[tex]2\pi^c = 360^\circ = \text{Full circumference}[/tex]

The superscript 'c' shows angle measured is in radians.

If radius of the circle is of r units, then:

[tex]1^c \: \rm covers \: \dfrac{circumference}{2\pi} = \dfrac{2\pi r}{2\pi} = r\\\\or\\\\\theta^c \: covers \:\:\: r \times \theta \: \rm \text{units of arc}[/tex]

For this case, we have:

Thus, if we take:

Length of the arc = L feet, then:

[tex]L =r \times \theta = 6 \times \dfrac{\pi}{3} = 2\pi \: \rm ft \approx 6.28 \approx 6.3 \: ft[/tex]

Thus, the length of the arc which subtends a [tex]\pi/3[/tex] radians angle on a circle with 6 ft radius is given by: Option C: 6.3 feet approximately.

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Answer:

c

Step-by-step explanation:

i did it and got it right

Answer:

craig had played approx 5 games..

Step-by-step explanation:

25 is the amount which craig have. 25-5.2=19.9 and when we divide 19.9 with 4 ie. 19.9÷4 = 4.9

[tex]\frac{1}{2a}[/tex]

Simplify or expand

[tex](2a)^{-1}[/tex]

Simplify using negative exponent rule [tex]a^{-n}=\frac{1}{a^n}[/tex]

[tex]\frac{1}{2a}[/tex]

I hope this helps you

:)

Answer:

55.75

Step by step explain:

33.00 divided by 4 equals 8.25

then multiply 8.25 by 7 which equals 55.75

Answer:

Step-by-step explanation:

the area of this rectangle is

(10 + 2x)(8 + 2x) = 168

80 + 20x + 16x + 4x² = 168

4x² + 36x = 88

Step-by-step explanation:

A quadratic equation is an equation whose leading coefficient is of the second degree. The correct option is A.

A quadratic equation is an equation whose leading coefficient is of second degree also the equation has only one unknown while it has 3 unknown numbers. It is written in the form of ax²+bx+c.

Let the width of the frame be represented by x. Therefore, the length and the breadth of the photographer be represented by (10+2x) inches and (8+2x) inches. Therefore, the total area of the photograph can be written as,

Area = Length × Breadth

168 inches² = (10+2x) inches × (8+2x)inches

168 = (10+2x)(8+2x)

168 = 80 + 20x + 16x + 4x²

0 = 80 + 20x + 16x + 4x² - 168

0 = 4x² + 36x - 88

4x² + 36x - 88 = 0

4x² + 36x = 88

Hence, the following quadratic equations that would be used when solving the width of the frame is 4x² + 36x = 88.

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Answer:

for x=5, x=4 , x=2

Step-by-step explanation:

zero points, the x values that make this formula to be zero.

5-5=0

4-4=0

2-2=0

these values satisfied

Answer:

A

Step-by-step explanation:

a quartic trinomial is a polynomial of degree 4 , with 3 terms

The only polynomial to fit this description is A

By using what we know about octagons, we will see that:

For an octagon of side length S, the area is:

A = 2*(1 + √2)*S^2

In this case, the area of the smaller octagon is:

19.28 in^2 =  2*(1 + √2)*S^2

Solving for S we get:

S = √( 19.28 in^2/(2*(1 + √2))) = 2.03 in

If we apply an enlargement of a factor 3.5, the new side length is:

S' = 3.5*2.03 in = 7.11 in

Then the area of the larger octagon is:

A' = 2*(1 + √2)*(7.11 in)^2 = 244.89 in^2

b) For an octagon of side length S, the radius is:

R = S*√(1 + 1/√2)

Then the radius of the larger octagon is:

R' = (7.11 in)*√(1 + 1/√2) = 9.29 in

Then the diameter of the box must be:

D = 2*R' = 2*9.29 in = 18.58 in

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