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valina [46]
3 years ago
8

A seat’s position on a Ferris wheel can be modelled by the function y = 18 cos 2.8(x + 1.2) + 21, where y represents the height

in feet and x represents the time in minutes. Determine the diameter of the Ferris wheel.
Mathematics
2 answers:
jeka57 [31]3 years ago
8 0
Step by step expression
Hitman42 [59]3 years ago
6 0

Step-by-step explanation:

A ball is thrown straight up from a rooftop 320 feet high. The formula below describes the ball's height above the ground, h, in feet, t seconds after it was thrown. The ball misses the rooftop on its way down and eventually strikes the ground. How long will it take for the ball to hit the ground? Use this information to provide tick marks with appropriate numbers along the horizontal axis in the figure shown.

h=-16t^2+16t+320

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Sunny_sXe [5.5K]

Answer:

5.4 is rational. 5.4 divide by 2 is 2.45 5.3 and 5 3 are irrational, as it cant be divided easily

8 0
3 years ago
PLEASE HELP WILL GIVE 1ST RIGHT ANSWER AS BRAINIEST
Ne4ueva [31]

Answer:

26π

Step-by-step explanation:

Hmm... This one is a little hard to understand because of the LaTeX.

Any way, way back to the question.  A useful piece of information:

<u>The formula for finding the circumference of a circle is 2πr or π · d :</u>

We first need to find out what x is.

Since 2 times the radius is the diameter, we can set up our equation like this:

2(x + 6) = 3x + 5

Solving gives:

2x + 12 = 3x + 5.

We subtract 2x from both sides:

+12 = x + 5

Subtract 5:

So x = 7.

Now we can plug-and-chug:

7 + 6 = 13 times 2pi (this is the radius)

21 + 5 = 26 times pi.

<u>Check:</u>

When we check 13 (radius) times 2 should equal the diameter(26)

13 * 2 = 26.

So we are correct. The answer 26π is correct.

8 0
3 years ago
Read 2 more answers
Solve the following integral.<br><br> <img src="https://tex.z-dn.net/?f=%5Cint4x%5Ccos%282-3x%29dx" id="TexFormula1" title="\int
bagirrra123 [75]

Hi there!

\boxed{-\frac{4x}{3}sin(2-3x) + \frac{4}{9}cos(2-3x) + C}

To find the indefinite integral, we must integrate by parts.

Let "u" be the expression most easily differentiated, and "dv" the remaining expression. Take the derivative of "u" and the integral of "dv":

u = 4x

du = 4

dv = cos(2 - 3x)

v = 1/3sin(2 - 3x)

Write into the format:

∫udv = uv - ∫vdu

Thus, utilize the solved for expressions above:

4x · (-1/3sin(2 - 3x)) -∫ 4(1/3sin(2 - 3x))dx

Simplify:

-4x/3 sin(2 - 3x) - ∫ 4/3sin(2 - 3x)dx

Integrate the integral:

∫4/3(sin(2 - 3x)dx

u = 2 - 3x

du = -3dx ⇒ -1/3du = dx

-1/3∫ 4/3(sin(2 - 3x)dx ⇒ -4/9cos(2 - 3x) + C

Combine:

-\frac{4x}{3}sin(2-3x) + \frac{4}{9}cos(2-3x) + C

7 0
2 years ago
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Is 2x=4y a linear equation?
almond37 [142]
Si it is a linear eqaution
6 0
3 years ago
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The ratio of adult cat to kitten at a pet care center on Thursday was 4:3. There were 12 kittens there that day. Tuesday , 17 ad
emmainna [20.7K]

Answer:

1 adult cat

Step-by-step explanation:

<u>Thursday:</u>

The ratio of adult cat to kitten at a pet care center on Thursday was 4:3.

Number of adult cats = 4x

Number of kitten cats = 3x

There were 12 kittens, then

3x=12\\ \\x=\dfrac{12}{3}\\ \\x=4\\ \\4x=4\cdot 4=16

There were 16 adult cats

<u>Tuesday:</u>

17 adult cats were at the pet care center.

<u>Difference:</u>

17-16=1 adult cat

5 0
3 years ago
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