MATHEMATICS HIGH SCHOOL

IF the navy pier ferris wheel in chicago has a circumference that is 56% of the circunference of the first ferris wheel built in 1893. a. What is the radius of the navy pier wheel?
b. what was the radius of the first ferris wheel?
c. The first ferri wheel took nine minutes to make a complete revolution. how fast was the wheel moving?

Answers

Answer 1

Answer:

Answer:

a. The radius of the navy pier wheel is 56% of the radius of the first ferris wheel

b. The radius of the first ferris wheel was 179% of the radius of the navy pier ferris wheel

c. The wheel was moving at 0.70 $(rad)/(min)$

Step-by-step explanation:

Navy pier wheel circumference = Cn

First ferris wheel circumference = Cf

Cn = 0.56*Cf

Circumference Perimeter = 2*π*Radius

Navy pier wheel radius = Rn

First ferris wheel radius = Rf

Cn = 0.56*Cf

2*π*Rn = 0,56*2*π*Rf (equation 1)

dividing both sides by 2π

Rn = 0,56*Rf

From equation 1

2*π*Rn = 0,56*2*π*Rf

dividing both sides by 2π

Rn = 0.56*Rf

dividing both sides by 0.56

Rf = $(1)/(0.56)$ *Rn

Rf = 1.79*Rn

9 minutes / revolution

1 revolution = 2π radians

The wheel makes 2π radians in 9 minutes

Wheel velocity = $(2\pi )/(9) (rad)/(min)$

Wheel velocity = 0.70 $(rad)/(min)$

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Henry is making a corn grits recipe that calls for 1/4 cup of corn grits for every 1/2 cup of water. How much water will he need if he uses 1 1/2 cups of corn grits? Enter the number in the box.

Answers

The quantity of water that would be needed if he uses $1(1)/(2)$ cup of corn grits is 3 cups of water.

Given the following data:

Quantity of corn A = $(1)/(4)$ cup of corn

Quantity of water A= $(1)/(2)$ cup of water

Quantity of corn B = $1(1)/(2)$ cup of corn

To determine the quantity of water that would be needed if he uses $1(1)/(2)$ cup of corn grits, we would apply direct proportion:

By direct proportion:

$(1)/(4)$ cup of corn = $(1)/(2)$ cup of water

$1(1)/(2)$ cup of corn = X cup of water

Note: $1(1)/(2)=(3)/(2)$

Cross-multiplying, we have:

$X * (1)/(4) = (1)/(2) * (3)/(2) \n\n(X)/(4) = (3)/(4) \n\n4X = 12\n\nX=(12)/(4)$

X = 3 cups of water

Answer: 3 cups of water will be needed .

Step-by-step explanation:

Since we have given that

$(1)/(4)\text{ cups of corn grits for every }(1)/(2)\text{ cups of water}$

so,

$\text{ For every }(1)/(4)\text{ cups of corn grits, cup of water is needed }=(1)/(2)$

$\text{ For every }1\text{ cup of corn grits, cup of water is needed }=((1)/(2))/((1)/(4))=2$

$\text{ For every }1(1)/(2)=(3)/(2)\text{ cups of corn grits, cup of water is needed }=(3)/(2)* 2=3$

Hence, 3 cups of water will be needed .

When h has the value 12 calculate 5h - 2

Answers

58
(5x12) = 60
60 - 2 = 58

5(12)-2 distribution
60-2 subtraction
58 answer

Which description is represented by a discrete graph

Answers

Hey there,

continuous function allows the x-values to be ANY points in the interval, including fractions, decimals, and irrational values. Adiscrete function allows the x-values to be only certain points in the interval, usually only integers or whole numbers.: Graph the continuous function: y = x2 for all Reals.

Answer:

Step-by-step explanation:

b took the test

Find the circumference of the circle. Round your answer to the nearest hundredthin the center of the circle is 4.5 ft.
a 14.14
b 15.90
c 16.82
d 17.43

Answers

Answer:

a. 14.14 ft²

Step-by-step explanation:

The measurement given refers to the diameter of the circle. The formula for the circumference and area uses the radius of a circle, therefore it is always safer to use radius instead of diameter

The radius is half of the diameter, which is 2.25 ft.

$A=2*r*\pi \nA=2*2.25*\pi \nA=14.14ft^(2)$

2* π *radius

or

π*diameter

What are the solutions for the equation 2z^2+4z+2=0

Answers

undistribute 2
2(z^2+2z+1)=0
factor
2(z+1)(z+1)=0
se to zero
2=0 false
z+1=0
z=-1

solution is z=-1

The regular price of a watch is $28.25. during a sale, the watch was marked 12% off. what was the price of the watch during the sale? $2.35 $3.39 $16.25 $24.86

Answers

The price of the watch during the sale will be $ 24.86. Then the correct option is D.

What is the percentage?

The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio. Per 100 is what the term percent signifies. The symbol 'percent' is used to symbolize it.

The regular price of a watch is $28.25.

During a sale, the watch was marked 12% off.

Then the price of the watch during the sale will be

Cost = $ 28.25 x (1 - 0.12)

Cost = $ 28.25 x 0.88

Cost = $ 24.86

Thus, the correct option is D.

More about the percentage link is given below.

brainly.com/question/8011401

#SPJ2

Answer:

D) $24.86