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3 years ago

13

A Ferris wheel has a diameter of 90 feet. If a rider starts at the bottom of the wheel, how many feet does the rider travel afte

r one full turn of the wheel? Record your answer in the boxes. Then fill in the bubbles. Be sure to use the correct place value.

1 answer:

neonofarm [45]3 years ago

7 0

Answer:

I dont get the question :(

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Functions Question (image attached)

zzz [600]

Answer:

$x {}^{2} \times + 4x$

Step-by-step explanation:

$f(x + 4) = (x + 4) {}^{2} - 3(x + 4) - 4 \\ = x {}^{2} + 8x + 16 - 3x - 12 - 4 \\ = x {}^{2} + 4x$

5 0

3 years ago

Your task is to build a road joining a ranch to a highway that enables drivers to reach the city in the shortest time. The perpe

lubasha [3.4K]

Answer:

(a)In the attachment

(b)The road of length 35.79 km should be built such that it joins the highway at 19.52km from the perpendicular point P.

Step-by-step explanation:

(a)In the attachment

(b)The distance that enables the driver to reach the city in the shortest time is denoted by the Straight Line RM (from the Ranch to Point M)

First, let us determine length of line RM.

Using Pythagoras theorem

$|RM|^{2}=30^2+x^2\\|RM|=\sqrt{30^2+x^2}$

The Speed limit on the Road is 60 km/h and 110 km/h on the highway.

Time Taken = Distance/Time

Time taken on the road $=\frac{\sqrt{30^2+x^2}}{60}$

Time taken on the highway $=\frac{50-x}{110}$

Total time taken to travel, T $=\frac{\sqrt{30^2+x^2}}{60}+\frac{50-x}{110}$

Minimum time taken occurs when the derivative of T equals 0.

$T^{'}=\frac{x}{60\sqrt{30^2+x^2}}-\frac{1}{110}\\\frac{x}{60\sqrt{30^2+x^2}}-\frac{1}{110}=0\\\frac{x}{60\sqrt{30^2+x^2}}=\frac{1}{110}\\110x=60\sqrt{30^2+x^2}\\$

Square both sides

$12100x^2=3600(30^2+x^2)\\12100x^2=3240000+3600x^2\\12100x^2-3600x^2=3240000\\8500x^2=3240000\\x^2=\frac{3240000}{8500} =381.18\\x=\sqrt{381.18} =19.52$

The road should be built such that it joins the highway at 19.52km from the point P.

In fact,

$|RM|=\sqrt{30^2+19.52^2}=35.79km$

4 0

4 years ago

The spinner is divided into 8 equal parts. Find the theoretical probability

ella [17]

1/8 are you chances for all the colors

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3 years ago

Help out please thank you

Helga [31]

Answer:

x = 26

Step-by-step explanation:

The three angles form a straight line, so they will sum to 180

4x - 8 + 34 + 76- x = 180

Combine like terms

3x+ 102 = 180

Subtract 102 from each side

3x+102-102 = 180-102

3x= 78

Divide each side by 3

3x/3 = 78/3

x = 26

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3 years ago

Simplify 9 log9 (7) is the answer 7

Aleks04 [339]

$log_ab=c\ \ \ \Leftrightarrow\ \ \ a^c=b\\\\log_97=x\ \ \ \Leftrightarrow\ \ \ 9^x=7\\\\9^x=7\ \ \ (and \ \ \ x=log_97)\ \ \ \Rightarrow\ \ \ 9^{\big{log_97}}=7$

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4 years ago