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lana66690 [7]
1 year ago
10

A Ferris wheel car moves from point C to point D on the circle shown below: Circle A is shown with points C and D on the circle

and the central angle C A D marked 42 degrees. The diameter is 30 feet. What is the arc length the car traveled, to the nearest hundredth?
Mathematics
1 answer:
natali 33 [55]1 year ago
7 0

Answer:

10.99 feet

Step-by-step explanation:

The arc length when an angle of 360° is made is the perimeter of the circle.

Perimeter = π*Diameter = π*30 = 94.25 ft

To know the arc length when an angle of 42° is made, we need to use the following proportion

94.25 ft / x ft = 360° / 42°

x = 42/360*94.25

x = 10.99 ft

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Complete the equation of the line through (-6,5)(−6,5)left parenthesis, minus, 6, comma, 5, right parenthesis and (-3,-3)(−3,−3)
goldenfox [79]

Answer:

The answer to your question is:   y = -8/3 x - 11

Step-by-step explanation:

A (-6, 5)

B (-3, -3)

Process

1.- Find the slope of the line

Formula

             m = \frac{y2 - y1}{x2 - x1}

Substitution

             m = \frac{-3 - 5}{-3 + 6}

Simplifying

            m = \frac{- 8 }{3}

2.- Find the equation of the line

Formula

              ( y - y1) = m(x - x1)                    

Substitution

             ( y + 3) = -8/3 (x + 3)

Simplifying

              y + 3 = -8/3 x - 8

              y = -8/3 x - 8 - 3

              y = -8/3 x - 11

4 0
1 year ago
Answer below these questions
timurjin [86]

Answer:

A: 6x⁸y⁵

B: 4x⁵z⁸

C: 48a¹²b⁵

D: 6s⁹t³

Step-by-step explanation:

When you multiply 2 exponents together, you add them. When you power an exponent, you multiply the 2 exponents together,

3x²2y⁴(2x⁶y)

6x⁸y⁵

xz³(4x⁴z⁵)

4x⁵z⁸

(4a³)²(3a⁶b⁵)

16a⁶(3a⁶b⁵)

48a¹²b⁵

6s⁵t(s⁴t²)

6s⁹t³

3 0
2 years ago
Casey deposited $1,450 in a bank account with an interest rate of 4% How much simple interest was earned in two years? Is the an
pantera1 [17]

Answer:

The simple interest was earned is $116

Yes; the answer is $116

Step-by-step explanation:

- The rule of the simple interest is:

→ <em>I = P r t</em>, where I is the interest, P is the money invested, r is the rate

of interest in decimal, and t is the time of investment

- Casey deposited $1,450 in a bank account with an interest rate of 4%

- We need to find the amount of interest Casey earned in two years

- The interest is simple

∵ P = $1450

∵ r = 4% = 4/100 = 0.04

∵ t = 2 years

∵ The interest is simple

∴ <em>I = Prt</em>

- Substitute the values of P , r , t in the rule

∴ I = 1450 × 0.04 × 2 = 116

∴ <em>The simple interest was earned is $116</em>

* <em>Yes; the answer is $116</em>

7 0
1 year ago
On a coordinate plane, a parabola opens up. It starts in quadrant 1, crosses the x axis where the vertex is in quadrant 4, and c
andrew-mc [135]
F(x) = (x - 8)2-6

if you simplify the equation you’re left with f(x) = (x - 8) - 4. there are two transformations that can be derived from this equation: translate horizontally right 8 and translate vertically down 4. because the parabola starts in quadrant 1, the parabola needs to be translated right opposed to left to match this. since the parabola’s vertex is in the negative quadrant 4, the function needs to be moved down which matches the second vertical translation the equation gives us.
6 0
1 year ago
Read 2 more answers
John is 4 years older than Becky, and John’s and Becky’s combined ages is 58. How old are Becky and John?A. Becky is 26; John is
Levart [38]

Answer:

Answer C: Becky is 27; John is 31

Step-by-step explanation:

1. John is 4 years older than Becky--27(Becky's age)+ 4=31(John's age)

2. Sum of their ages is 58--27(Becky's age)+31(John's age)=58

So, the correct answer is Answer C.

3 0
1 year ago
Read 2 more answers
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