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Vanyuwa [196]
3 years ago
14

The Ferris wheel has a radius of 70 feet. The distance between the wheel and the ground is 4 feet. The rectangular coordinate sy

stem shown has its origin on the ground directly below the center of the wheel. Write the equation of the circular wheel. (JUSTIFY)
Mathematics
1 answer:
Gemiola [76]3 years ago
7 0

Answer:

x² + (y-74)² = 4900

Step-by-step explanation:

Circle equation: (x-h)² + (y-k)² = r²

"h" refers to horizontal shifts while "k" refers to vertical shifts. If the center of the wheel is directly above the origin of the rectangular plane and the entire wheel is 4 ft. from the ground then:

  • h = 0
  • k = 74 (the radius + 4 ft.)
  • r = 70

So plugging those into the equation of circles, we get the answer above.

You might be interested in
An educational psychologist wishes to know the mean number of words a third grader can read per minute.
Rama09 [41]

Answer: 208.

Step-by-step explanation:

The formula to find the minimum sample size is given by :-

n= (\dfrac{z^*\times \sigma}{E})^2                                    (1)

, where z* = critical z-value (two tailed).                                                                      

\sigma = Standard deviation ( from prior study ) and E = Margin of error.

As per given , we have

Margin of error : E= 0.29

Confidence level = 85%

Significance level =\alpha=1-0.85=0.15

Using z-table , the critical value (two -tailed)=z^*=z_{\alpha/2}=z_{0.15/2}=z_{0.075}=1.439

As per previous study , Variance =\sigma^2=8.41

\sigma=\sqrt{8.41}=2.9

Now, the required minimum sample size = n= (\dfrac{(1.439)\times (2.9)}{0.29})^2   [Substitute the values in formula (1)]

n=(14.39)^2

n=207.0721\approx208  [ Round to the next integer]

Hence, the minimum number of third graders that must be included in a sample = 208.

5 0
3 years ago
What is 339.12 rounded to the nearest tenth
Yakvenalex [24]
The answer should be 339.1
4 0
3 years ago
What is the solution to this equation? 2x - 5 + 3x = 35 A. x = 6 B. x = 8 C. x = 20 D. x = 15
maxonik [38]

Answer:

B. x = 8

Step-by-step explanation:

6 0
3 years ago
Suppose that you had two squares, a small one and a large one. The area of the large square is twice that of the small square. H
WARRIOR [948]

Answer:

The side length of the large square is √2 times larger than the side length of the small square.

Step-by-step explanation:

Suppose we have a small square (square 1) and a large square (square 2). The area of the large square is twice that of the small square, that is,

A₂ = 2 A₁

A₂/A₁ = 2 [1]

The area of a square is equal to the length of the side (l) raised to the second power.

A = l²

l = √A

The ratio of l₂ to l₁ is:

l₂/l₁ = √A₂ / √A₁ = √(A₂/A₁)

We can replace [1] in the previous expression.

l₂/l₁ = √2

The side length of the large square is √2 times larger than the side length of the small square.

7 0
3 years ago
Use synthetic division to solve (x^3 + 1) ÷ (x – 1). What is the quotient?
timurjin [86]

Answer:

(x^{2} +x+1)(x-1)+2

Step-by-step explanation:

The synthetic division can be used to divide a polynomial function by a binomial of the form x-c, determining zeros in the polynomial.

step 1:  Establish the synthetic division, placing the polynomial coefficients in the first row (if any term does not appear, assign a zero coefficient) and to the extreme left the value of c.

1 |     1   0   0   1

step 2: Lower the main coefficient to the third row.

1 |     1   0   0   1

       1

Step 3: Multiply 1 by the main coefficient 1.

1 |     1   0   0   1

            1

       1

step 4: Add the elements of the second column.

1 |     1   0   0   1

            1

       1    1

step 5: Then repeat step 4 until the constant term 1 is reached.

1 |     1   0   0   1

            1    1    1

       1    1   1     2

step 6: Enter the quotient and remainder

quotient:  x^{2} + x + 1

remainder:  2

Solution:   x^{2} + x + 1 (x+1)  + 2

3 0
3 years ago
Read 2 more answers
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