A Ferris wheel has a diameter of 56 ft. how far will a rider travel during a 4-minute ride if the wheel rotates once every 20 seconds? use 22/7 for pi

Answers

Answer 1
Answer: First calculate the circumference. Usually this is the diameter times pi, but since we are told to estimate pi, the circumference equals 56 * 22/7 or 176 feet.
In 4 minutes, 4 * 60 = 240 seconds pass. In this time, a 20 second period will occur 240/20 = 12 times.
So we know that the rider rotates 12 times and each rotation takes them 176 feet, meaning that they will travel 12 * 176 =  2112 feet

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The cost of a length of fabric is proportional to the number of yards purchased. The graph shows this relationship.What is the unit rate for cost per yard?

Answers

Unit rate means how much does it cost for 1 item for example...if you can download 2 songs for $5 how much did it cost to download 1 song...you would simply take $5 divided by 2 to get $2.50

In this case we have 5 yards of fabric for $18 so all we have to do is take $18 divided by 5 to find out how much just 1 yard costs.

so $18 divided by 5 is $3.60  so the unit rate cost per yard is $3.60 

to make sure this is correct you can check your answer like this.  If it is $3.60 for 1 yard how much would it be for 5 yards?  Multiply $3.60 and 5 if we get $18 then our answer is correct.  $3.60 x 5 does equal $18 so we were correct

(x − 2) is a factor of x4 + 2x3 − 7x2 − 8x + 12. The other factors are ___, ___, and ___.

Answers

The all other 3 factors of the equation  x⁴ + 2x³ − 7x² − 8x + 12 will b e(x + 2),(x - 1) and (x + 3).

What are the roots of an equation?

Roots of an equation are the solution of that equation since an equation consists of hidden values of the variable to determine them by different processes and then the resultant is called roots.

For example root of x -4 = 0 is x = 4 so 4 will be the only root of this linear equation.

Given the equation,

x⁴ + 2x³ − 7x² − 8x + 12

If (x - 2) is a factor of the equation then it should be divisible by it.

So,

(x⁴ + 2x³ − 7x² − 8x + 12) / (x - 2) = (x³ + 4x² + x - 6)

Now divide by (x - 1) of  (x³ + 4x² + x - 6)

(x³ + 4x² + x - 6) / (x - 1) = x² + 5x + 6

So,

⇒ (x - 2)(x - 1)(x² + 5x + 6)

⇒  (x - 2)(x - 1)( x² + 2x + 3x + 6)

⇒   (x - 2)(x - 1)[ x(x + 2) + 3(x + 2) ]

⇒  (x - 2)(x - 1)(x + 2)(x + 3)

Hence "The all other 3 factors of the equation  x⁴ + 2x³ − 7x² − 8x + 12 will b e(x + 2),(x - 1) and (x + 3)".

To learn more about the roots of an equation,

brainly.com/question/12029673

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Answer:

Step-by-step explanation:

The given equation is:

x^4+2x^3-7x^2-8x+12

Now, (x-2) is a factor of the given equation, therefore

(x-2)(x^3+4x^2+x-6)

(x-2)(x-1)(x^2+5x+6)

(x-2)(x-1)(x^2+3x+2x+6)

(x-2)(x-1)(x(x+3)+2(x+3))

(x-2)(x-1)(x+2)(x+3)

Therefore, the other factors are (x-1), (x+2) and (x+3).

Matthew is going to drive from Salt Lake City, Utah, to Las Vegas, Nevada. His car travels a consistentnumber of miles

per gallon of gasoline and he has some gasoline in his tank already. Matthew writes the

equation 25(x + 3) = 424, where x represents the number of gallons of gasoline he will need to purchase to

complete the trip.

Identify the meaning of each of the constants in Matthew's equation in the context of the problem, then solve

the equation to determine how many gallons of gasoline he must purchase.

Answers

Answer: 14 gallons of gasoline.

Step-by-step explanation:

given data:

25(x + 3) = 424

where x is the number of gallon of gasoline needed to purchase.

Solution.

25(x + 3) = 424

first we open the bracket

25x + 75 = 424

collect like terms

25x = 424 – 75

25x = 349

divide both sides by 25

25x/25 = 349/25

x = 13.96

x = 14

mathew needs to get 14 gallons of gasoline.

5. A real estate company purchased a vast area of lakefront property. The company plans to divide the area intoseveral lots so that customers can purchase a lot and build a home. The length of each lot is represented by the
function below, where w represents the width of each lot. The minimum length of a lot will be 51 feet, and the
maximum length of a lot will be 204 feet.
L(W)=3W-15
WHAT IS THE DOMAIN OF L(W)

Answers

51+15<=3w-15+15<=204+15    66<=3w<=219   66/3<=3w/w<=219/3   the answer22<=w<=73  all real number between and including 22 and 73

Given: x + 2 < -5. Choose the solution set.

Answers

the answer for ur question is 
x+2<-5
x<-5-2
x<-8

hope this help!!!!


^_^ HAPPY TO HELP U ^_^





you ansewer will be x= -8

Solve (tan x)(2 sin x + 1) = 0 given that 0 < x < 2pi

Answers

Answer:

Step-by-step explanation:

hello :

here is an solution ....