Suppose a ferris wheel is moving at a constant rate of 8 inches per second. if the diameter of the wheel is 60 feet, how long will it take the ferris wheel to make a complete revolution ?

Answer:

Step-by-step explanation:

Solve as requested in the question, round each number:

The sum is:

Answer:

8000

Step-by-step explanation:

⇒ 3008 + 5243 ≈ 3000 + 5000

⇒ 3000 + 5000 = 8000

Answer:

she saves $40

Step-by-step explanation:

first of all, you find 20% of $50, that is,

(20/100) * $50

then you get: $10

next step is to subtract this answer from the $50, that is: $50 - $10 = $40

have a great day!!

We get the amount of price removed as a result of free coupon as below:

[tex] \frac{20}{100 } \times 50 = \frac{1000}{100} = 10 \\ coupon = 10dollars[/tex]

Therefore, Sonya saved $10

Answer:

C. (5, 8, 9)

Step-by-step explanation:

Put the triples into the Pythagorean Theorem and see if they come out true.

a² + b² = c²

5² + 12² = 13²

25 + 144 = 169

169 = 169

5, 12, and 13 are a Pythagorean Triple.

a² + b² + c²

8² + 15² = 17²

64 + 225 = 289

289 = 289

8, 15, and 17 are a Pythagorean Triple.

a² + b² = c²

5² + 8² = 9²

25 + 64 = 81

89 ≠ 81

5, 8, and 9 are NOT a Pythagorean Triple.

a² + b² = c²

6² + 8² = 10²

36 + 64 = 100

100 = 100

6, 8, and 10 are a Pythagorean Triple.

Answer: 0.15

Step-by-step explanation:

Answer:

0.15

Step-by-step explanation:

3/20=15% so that means its 0.15

Answer:

The answer is 270

Step-by-step explanation:

5×54=270

Answer:

get better maybe

Step-by-step explanation:

just pay attention in class

Answer:

30.7%, 0.3, or 4/13

Step-by-step explanation:

The correct procedure for this problem is:

Answer:

21,42/2,-(42/-2)

Step-by-step explanation:

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The cost to cover the cirular region with mud is about $2940

The circumference of the circular region is about 157 feet. Hence:

circumference = 2π * radius

157 = 2π * radius

Radius = 78.5 / π

The area is given as:

Area = π * radius² = π(78.5 / π)² = 1961.5 ft²

Cost = $1.5 * 1961.5 = $2940

The cost to cover the cirular region with mud is about $2940

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Let's see

Area

[tex]\\ \rm\rightarrowtail \dfrac{1}{2}\times Base\times Height [/tex]

[tex]\\ \rm\rightarrowtail \dfrac{1}{2}(6xy^5)(4x^2y)[/tex]

[tex]\\ \rm\rightarrowtail 3xy^5(4x^2y)[/tex]

[tex]\\ \rm\rightarrowtail 12x^3y^6[/tex]

[tex]\text{Area of triangle} = \dfrac 12 \times \text{Height} \times \text{Base} \\\\~~~~~~~~~~~~~~~~~~~~~~=\dfrac 12 \cdot 6xy^5\cdot 4x^2y\\\\~~~~~~~~~~~~~~~~~~~~~~=12x^3y^6 ~ \text{units}^2[/tex]

Answer:

You are right

Step-by-step explanation:

By solving a simple linear equation, we conclude that the length of the second lawn is 10 meters.

We know that one of the lawns is 5 meters long and 4 meters wide, then its area is:

A = 4m*5m = 20m^2

The other is two times as big, so its area is 40m^2 and has the same width as the first one (4 meters), so if we define the length as L we can write:

40m^2 = 4m*L

Solving for L we get:

(40 m^2)/4m = L = 10m

The length is 10 meters.

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Answer:

A: 45 5/16

B: The present of the area as 83%

Step-by-step explanation:

(a)

35= 3+3+3.2x+3.2x+3.2x+3.2x

35= 6 + 12.8

29/12.8 +12.8x/12.8

X=2.265625 = 2/12/64

1x = 2 17/64 * 4 + 9 1/16

P = 45 5/16

(b)

The present of the area as 83%

35 – the bases or 6 = 29

29/35 + 0.82857142857

0.82857142857 * 100 = 82.8571428571

Rounded to the nearest whole number is 83%

Answer:

42cm³

Step-by-step explanation:

7*2*3=42

7*2=14

14*3=42

42

The amount of plastic covering needed to cover the window is 25.71.

The window consists of a semi circle and a rectangle. The circumference and the perimeter of the semi circle and a rectangle has to be determined.

Circumference of the semi circle = 1/2πd + d

Where:

π = 3.14

d = diameter = 3

1/2 x 3.14 x 3 + 3 = 7.71

Perimeter of the rectangle = 2(length + width)

2x (6 + 3) = 18

18 + 7.71 = 25.71

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Answer:

3

Step-by-step explanation:

these are 2 similar triangles (all 3 pairs of corresponding angles are equal in their pair, and the lengths of corresponding sides have the same ratio in every pair of corresponding sides and other lengths).

and they are also right-angled triangles.

so, what else do we know about them ?

PQ = 18

RT = 6

ST = QT + 9

therefore

QT = ST - 9

and

QR = QT + RT = ST - 9 + 6 = ST - 3

due to the principles of cumulative triangles

PQ/ST = QR/RT = 18/ST = (ST - 3)/6

108/ST = (ST - 3)

108 = (ST - 3)ST = ST² - 3ST

ST² - 3ST - 108 = 0

we can the write

x² - 3x - 108 = 0

and the solution for such a squared equation is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

a = 1

b = -3

c = -108

x = (3 ± sqrt(9 - 4×1×-108))/2 = (3 ± sqrt(441))/2 =

= (3 ± 21)/2

x1 = (3+21)/2 = 24/2 = 12

x2 = (3-21)/2 = -18/2 = -9

a negative solution for real lengths is not valid, so we know

x = ST = 12

so,

QR = ST - 3 = 12 - 3 = 9

and then

QT = QR - RT = 9 - 6 = 3

Answer:

(B) is the answer of your question

Answer: 200 students gave their speeches.

Explanation;

240 ÷ 6 = 40

40 x 5 = 200

Answer:

44 campers chose basketball

Answer: c+229

Explanation: c represents and unknown variable and since you are just trying to find the sum of the two years, you simply need to add the two together.

The diameter of a sphere with a volume of 397 meter cube to the nearest tenth of a meter is 9.1 meters

volume of a sphere = 4 / 3 πr³

where

Therefore,

volume = 397m³

Diameter = radius  × 2

Hence,

volume of a sphere = 4 / 3 πr³

volume of a sphere = 4 / 3 × 3.14 × r³

397 = 12.56 / 3 r³

cross multiply

397 × 3 = 12.56 r³

1191 = 12.56 r³

divide both sides by 12.56

r³ = 1191 / 12.56

r = ∛94.8248407643

r = 4.56009658

Hence,

diameter = 4.56009658 × 2 = 9.12 = 9.1 meters

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Answer:

The rule for this question should be an=10*(-3)^(n-1)

Step-by-step explanation:

Because 10, -30, 90, and -270 divide (for example -30/10, 90/-30 and -270/90 which means the ratio equals -3) To find the ratio, you must divide by its previous term.

Then, the equation for the ratio would be a1 (first term in the sequence) multiplied by the ratio, then to the power of the number subtracted by 1. an=a1*r^(n-1) This is the formula to find the nth term of a geometric sequence.

Hope this helped!

= 12 + 10 + 12 + 10

= 2x12 + 2x10

= 24 + 20

= 44 feet of borders

Answer:

its 44

Step-by-step explanation:

add 10+10 then add 12+12

Answer: 42.0

Step-by-step explanation:

Sorry but no speek English

Answer:

3 and 4

Step-by-step explanation:

3.5 ounces is 7/2 so if they eat the same amount they would both eat 3.5 ounces.

Step-by-step explanation:

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