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Genrish500 [490]
2 years ago
13

A Ferris wheel contains 16 cars evenly spaced on a circle with a radius of 20 feet. What is the distance between any two cars on

the Ferris wheel?

Mathematics
2 answers:
Mnenie [13.5K]2 years ago
8 0

Answer:

230.4

feet

Explanation:

arc length  

=

circumference  

×

fraction of circle

×

×

×

×

=

2

π

r

×

165

360

×

×

×

×

=

2

×

π

×

80

×

165

360

×

×

×

×

=

230.4

feet to nearest tenth

RSB [31]2 years ago
3 0

Answer:

23

Step-by-step explanation:

the answer is 22.5 but rounded to the nearest whole which is 23

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Sav [38]

Answer:14

Step-by-step explanation:

7 0
3 years ago
suppose that you have 3000$ to invest. which investment yields the greater return over a 10 year period: 8.04% compounded daily
Ksenya-84 [330]

Answer:  Option A: 8.04% compounded daily

<u>Step-by-step explanation:</u>

A = P\bigg(1+\dfrac{r}{n}\bigg)^{nt}\qquad where\\\\\bullet A = \text{accrued amount (principal plus interest earned)}\\\bullet P = \text{principal (amount invested)}\\\bullet r = \text{rate (in decimal form)}\\\bullet n=\text{number of times compounded in one year}\\\bullet t=\text{time (number of years)}\\\\\\Option\ A:\\A = \text{unknown}\\P=3000\\r=8.04\%\rightarrow 0.0804\\n=\text{daily}\rightarrow 365\\t=10\\\\A=3000\bigg(1+\dfrac{0.0804}{365}\bigg)^{365\times 10}\\\\.\ =\$ 6,702.79

Option\ B:\\A = \text{unknown}\\P=3000\\r=8.1\%\rightarrow 0.081\\n=\text{quarterly}\rightarrow 4\\t=10\\\\A=3000\bigg(1+\dfrac{0.081}{4}\bigg)^{4\times 10}\\\\.\ =\$ 6,689.37

Option A results in the greater amount of money.

7 0
4 years ago
I need help understanding square roots
Vlad [161]

I wonder if you mean to write \sqrt[3]{256} in place of 3\sqrt{256}...

If you meant what you wrote, then we have

\sqrt{256}=\sqrt{16^2}=16

3\sqrt{256}=3\cdot16=48

If you meant to write \sqrt[3]{256} (the cube root of 256), then we could go on to have

\sqrt[3]{256}=\sqrt[3]{16^2}=\sqrt[3]{(4^2)^2}=\sqrt[3]{4^4}=\sqrt[3]{4^3\cdot4}=4\sqrt[3]4

6 0
3 years ago
(English to algebra) twice K is the same as three times k plus one
ryzh [129]

2k = 3k + 1



BTW k = -1

7 0
3 years ago
Read 2 more answers
1. Find the slope of the line that goes through the points (2, 5) and (6, 7)
ella [17]

Answer:

\displaystyle m = \frac{1}{2}

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right<u> </u>

<u>Algebra I</u>

  • Coordinates (x, y)
  • Slope Formula: \displaystyle m = \frac{y_2-y_1}{x_2-x_1}

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

Point (2, 5)

Point (6, 7)

<u>Step 2: Find slope </u><em><u>m</u></em>

  1. Substitute in points [Slope Formula]:                                                              \displaystyle m = \frac{7-5}{6-2}
  2. [Fraction] Subtract:                                                                                           \displaystyle m = \frac{2}{4}
  3. [Fraction] Simplify:                                                                                            \displaystyle m = \frac{1}{2}
7 0
3 years ago
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