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3 years ago

A minute-hand is 16 in long. Find the distance traveled by the tip of the minute-hand in one hour.

Mathematics

2 answers:

ser-zykov [4K]3 years ago

8 0

Circumference = $d \pi$

$16 \pi = 50.27$

The minute-hand traveled 50 inches in one hour.

ella [17]3 years ago

4 0

consider the length of the minute hand the radius of a circle

the diameter would be 16*2 = 32 inches

circumference ( distance around the circle) =

PI *32

using 3.14 for PI

3.14 *32 = 100.48 inches Round the answer as needed

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The officers of a high school senior class are planning to rent buses and vans for a class trip. Each bus can transport 63 stud

sp2606 [1]

Min Cost = $12,200
Number of buses needed = 7
Number of vans needed = 24

8 0

3 years ago

HELP NOW!!!!

VMariaS [17]

Using the concept of probability and the arrangements formula, there is a

0.002 = 0.2% probability that the first 8 people in line are teachers.

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A probability is the number of desired outcomes divided by the number of total outcomes.
The order in which they are positioned is important, and all people will be positioned, and thus, the arrangements formula is used to find the number of outcomes.

The number of possible arrangements from a set of n elements is given by:

$A_n = n!$

----------------------------------

The desired outcomes are:

First 8 people are teachers, in 8! possible ways.
Last 4 are students, in 4! possible ways.

Thus, $D = 8! \times 4!$

----------------------------------

For the total outcomes, number of arrangements of 12 people, thus:

$T = 12!$

The probability is:

$p = \frac{D}{T} = \frac{8! \times 4!}{12!} = 0.002$

0.002 = 0.2% probability that the first 8 people in line are teachers.

A similar problem is given at brainly.com/question/24650047

7 0

3 years ago

Find all points on the x-axis that are 14 units from the point (6,-7) All points on the x-axis that are 14 units from the point

Maksim231197 [3]

Answer: $(6+7\sqrt{3},0)\text{ and }(6-7\sqrt{3},0)$ are the required points.

or (18.124,0) and ( -6.124,0) are the required points.

Step-by-step explanation:

Let (x,0) be the point on x -axis that are 14 units from the point (6,-7) .

Then by distance formula , we have

$\sqrt{(x-6)^2+(0-(-7))^2}=14\ \ \ [\ \because distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}]$

Taking square on both the sides , we get

$(x-6)^2+7^2=14^2\\\\\Rightarrow\ x^2+6^2-2(6)x+49=196\\\\\Rightarrow\ x^2+36-12x=147\\\\\Rightarrow\ x^2-12x=111\\\\\Rightarrow\ x^2-12x-111=0$

Using quadratic formula : $x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}$

$x=\dfrac{12\pm\sqrt{(-12)^2-4(1)(-111)}}{2}\\\\\Rightarrow\ x=\dfrac{12\pm\sqrt{144+444}}{2}\\\\\Rightarrow\ x=\dfrac{12\pm\sqrt{588}}{2}\\\\\Rightarrow\ x=\dfrac{12\pm\sqrt{2^2\times7^2\times3}}{2}\\\\\Rightarrow\ x=\dfrac{12\pm14\sqrt{3}}{2}\\\\\Rightarrow\ x=6\pm7\sqrt{3}$

so, $(6+7\sqrt{3},0)\text{ and }(6-7\sqrt{3},0)$ are the required points.

since $\sqrt{3}=1.732$

so, $(6+7(1.732),0)\text{ and }(6-7(1.732),0)$ are the required points.

i.e. (18.124,0) and ( -6.124,0) are the required points.

3 0

3 years ago

Mplete the solution of the equation. Find the

Alex777 [14]

Answer:

-2

Step-by-step explanation:

If x=0

-3(0)+2y=-4

-0+2y=-4

We can say

2y-0=-4

2y=-4

Dividing both side by 2,

y=-2

5 0

2 years ago

Sydney has 3 3/5 yards of ribbon to make bows. Each bow is made from a piece of ribbon that is 2/5. How many bows can Sydney mak

Zielflug [23.3K]

Answer:

Step-by-step explanation:

2/5 x 2 = 4/5

4/5 x 2, or 2/5 x 4 = 1 3/5

1 3/5 x 2, or 2/5 x 8 = 3 1/5

3 1/5 + 2/5, or 2/5 x 9 = 3 3/5

8 0

3 years ago