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cupoosta [38]
3 years ago
13

The minute hand of a clock is 6 inches long and moves from 12 to 4 o'clock. How far does the tip of the minute hand move? Expres

s your answer in terms of pi and then round to 2 decimal places.
Mathematics
1 answer:
Masja [62]3 years ago
7 0

Answer: 12.56 inches

Step-by-step explanation: First, when know the following:

A clock is a circle, so the total movement, from 12 to 12 is 360° or 2π.

It is also know that a circle circunference (The total size of the circle on a straight line) is 2π * Radius

The minute hand does a circle on its travel, that circle radius is equal to 6 inches.

The movement from 12 to 4 is a third (4/12 = 1/3). Knowing this:

120° = (1/3) * 360° = (1/3) * 2π = (2/3) * π

So the travel from 12 to 4 is (2/3)π

To know the distance on inches, we multiply the distance on radians per the radius.

Total distance = 6 * (2/3)π

Total distance = 4π inches

Total distance = 12.56 inches

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for an 8 foot ramp need to be elevated at an angle measure 10 degree to level with a step approximately how far does the ramp ne
d1i1m1o1n [39]

Answer:

7.878 ft far

Step-by-step explanation:

Given:

- A ramp is to be lifted to an angle Q = 10 degrees

- The total length of the ramp L = 8 ft

Find:

- how far does the ramp need to be away to hit the edge of the step

Solution:

- The question asks in "other words" the horizontal distance (d) from the ramp pivot on the floor to the edge of the step when it is lifted 10 degrees.

- We will use trigonometry to solve a right angle triangle: The horizontal distance is a projection of Length L on to the flat ground surface. Hence, we have:

                                        cos(Q) = d / L

                                         d = L*cos(Q)

- Plug in values:

                                         d = 8*cos(10)

Answer:                            d = 7.878 ft

8 0
3 years ago
Suppose you and three friends are equally sharing the total cost C of a mean, and you pay $7. Which equation represents this sit
Brrunno [24]
The equation would be c÷3=7 (haha i think thats the answer)
7 0
3 years ago
Please help!! This topic is incredibly confusing and assistance is very much needed & appreciated! Thanks :)
Artyom0805 [142]
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7 0
3 years ago
If x=3 y=4 z=6 then 4x+8yz+3y equals
guapka [62]

Answer:

216

Step-by-step explanation:

4x+8yz+3y

Let x=3 y=4 z=6

Substitute the values into the expression

4(3)+8(4)(6)+3(4)

Multiply first

12+192+12

Then add

216

5 0
2 years ago
 m∠A = 42 and m∠C = 57. Find m∠B.<br>A. 81<br><br> B. 99<br><br> C. 132<br><br> D. 147
faltersainse [42]
A.
because the total distance of every triangle 180. Add the two other angles so 42+ 57 =99. Then you have to subtract those two combined angles to find the missing one from the total distance, which is 180. 180-99=81. the answer is A. 81
5 0
3 years ago
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