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stira [4]
3 years ago
11

Find the maximum height of the baseball. I think 68. If it's wrong or right then please explain!

Mathematics
1 answer:
Alex17521 [72]3 years ago
7 0

The coordinates of the problem are (2,68)

you are correct!

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Rachel is bowling with her friends. her bowling ball has a radius of 4 inches. as she bowls she tracks the location of the finge
Goshia [24]

Question Continuation

The finger hole changes by 45 degrees.

Define a function, f, that gives the height of the finger hole above the ground (in inches) in terms of the angle of rotation (measured in radians) it has swept out from the 12 o'clock position.

Answer:

f(θ) = r(1 + cos(θ)) for 0 ≤ θ ≤ π/4

Step-by-step explanation:

Given

Let represent radius

r = 4 inches

Considering that she starts tracking the location when the finger hole is at the 12 o'clock; this means that the angle measurement at this point is 0°.

Let θ represent the angle

At 12 o'clock mark

θ = 0

When the finger hole changes by 45 degrees

θ = 45°

Convert 45° to radians

θ = 45° * π/180

θ = π/4

So, angle θ is such that θ∈[0, π/4]

This can be represented as

0 ≤ θ ≤ π/4

Calculating the measure of f(θ) in polar coordinates

When θ = 0, f(θ) = r (i.e. the current position of the bowl)

When θ = π/2, f(θ) = rcosθ

This is so because f(θ), being the function of the height is a measure of the radius* cos(θ)

Taking measurement of f(θ) from 0 to π/2

f(θ) = r + rcosθ

f(θ) = r(1 + cos(θ))

So, f(θ) = r(1 + cos(θ)) for 0 ≤ θ ≤ π/4

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3 years ago
-25 - 6k + 7=6(1+ 3k)<br><br> Solve the equation for The Variable
dmitriy555 [2]

Answer: Isolate the variable by dividing each side by factors that don't contain the variable.

k = −1

6 0
3 years ago
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Determine the slope of the line represented by y=5x-7 ?
Reptile [31]

Step-by-step explanation:

that is totally easy.

in the slope intercept form of a line equation the factor of x is always the slope.

in general

y = ax + b

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so, in our case here

y = 5x - 7

5 is the slope.

and -7 is the y intercept (at what point does the line intercept the y-axis; that is the y value when x = 0).

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3 years ago
Linda has a shelf that is 56 over 5 inches wide. how many catalogs can linda arrange on the shelf if each catalog is 4 over 5 of
Ierofanga [76]
First point to be noted here is, the shelf and the book are 5 inches wide. So it is perfect to hold the book.

The shelf is 56 inches tall and the book is 4 inches thick. To find the number of books Linda can arrange on the shelf, just divide 56 by 4

Number of books Linda can arrange on the shelf = 56 ÷ 4 = 14 books
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WILL GIVE BRAINLIEST. Need an answer ASAP!
Ksivusya [100]

Answer:

BE=12 units

Step-by-step explanation:

We\ know\ that,\\In\ a\ rectangle\ all\ diagonals\ are\ equal\ and\ bisect\ each\ other.\\Hence,\\In\ Rectangle\ ABCD,\\AE=EC\\Hence,\\Substituting\ the\ values\ we\ get:\\x+4=3x-12\\Hence,\\-2x=-16\\x=\frac{-16}{-2}=8\\Now,\\We\ also\ know\ that,\\ AC=DB\\Hence,\\\frac{AC}{2}=\frac{DB}{2} \\Hence,\\DE=EB=AE=EC\\Hence,\\Since\ AE=BE,\\BE=x+4\\We\ already\ know\ that\ x=8.\\Hence, BE=8+4=12

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