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Tcecarenko [31]
3 years ago
14

What is the total radian measure of the angle the minute hand travels in 4 full rotations?

Mathematics
2 answers:
Alchen [17]3 years ago
8 0
The answer is 8π radians
babymother [125]3 years ago
8 0

Answer:

The angle the minute hand travels in 4 full rotations is 8\ pi\ radians

Step-by-step explanation:

We know that one complete rotation is given by :

1\ rotation=1\ hour

and 1\ hour=60\ minutes=2\ \pi    

So, 1\ rotation=2\ \pi

Using unitary method we can find the minute hand travel in 4 rotations.

\because 1\ rotation=2\ \pi\ radians

So,  4\ rotation=8\ \pi\ radians

Hence, this is the required solution.

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A rectangle has a length of 45 inches less than 4 times its width. if the area of the rectangle is 3325 square inches, find the
Maru [420]

The length of the rectangle is based on its width, so let's call width w and put the length in terms of the width. We are told that the width is 45 less than 4 times the width, so the length is 4w - 45. Area is found by multiplying length times width and we are given the area as 3325. So we will set up length times width and solve for w, which we will then use to solve for l. 3325 = (4w - 45)(w). Multiplying out we have 3325=4w^2-45w. Move the constant over by subtraction and then we will have a quadratic that can be factored to solve for w. 4w^2-45w-3325=0. We would put that through the quadratic formula to solve for w. When we do that we get that w = 35 and w = -23.75. The 2 things in math that will never EVER be negative is time and distance/length, so -23.75 is out. That means that the width is 35. The length is 4(35) - 45 which is 95. The dimensions of your rectangle are length is 95 and width is 35. There you go!

8 0
2 years ago
Compute delta y/delta x for the interval [2,5], where y = 4x - 9.
Kamila [148]
We have to compute: Δ y / Δ x.
The interval is [ 2, 5 ] and y = 4 x - 9.
y 1 = 4 · 2 - 9 = 8 - 9 = - 1
y 2 = 4 · 5 - 9 = 20 - 9 = 11
Δ y / Δ x = ( y 2 - y 1 ) / ( x 2 - x 1 ) =
= ( 11 - ( - 1 ) ) / ( 5 - 2 ) = ( 11 + 1 ) / 3 = 12 / 3 = 4
Answer:
Δ y / Δ x = 4

3 0
3 years ago
The total price for 7 movie tickets is 92.40 . If each ticket costs the same amount, how much does one movie ticket cost?
horsena [70]

Answer:

$13.20

Step-by-step explanation:

total cost of tickets = $92.40

total number of tickets = 7

cost of each ticket

= total cost of tickets ÷ total number of tickets

= 92.40 ÷ 7

= $13.20

hope this helps

8 0
3 years ago
Read 2 more answers
The area of this parallelogram is 120 ft2 find the value of h
Free_Kalibri [48]

Answer: 60

Step-by-step explanation:

3 0
3 years ago
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How many solutions does the equation -6y+13+9y=8y-3
Lina20 [59]

Answer:

Single Solution of 3.2 (16/5)

Step-by-step explanation:

3x = 8x -16 <--- I combine like terms.

-5x = -16

-16/-5 = x

x = 3.2

BTW Negative times a Negative equals a positive.

3 0
2 years ago
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