A minute hand of a large clock is 6 ft long. How far does the point move in an hour?

Answers

Answer 1
Answer:

The point will move 37.68 feet in a hour.

What is Circumference?

The circumference of the circle, also known as the perimeter of the circle, is the measurement of the circle's boundary. The area of a circle, on the other hand, defines the region it occupies. If we open a circle and draw a straight line through it, the length of the line is the circumference. It is typically measured in units such as centimetres or metres.

We have the minute hand is 6 ft long.

So, the radius = 6 feet

Then, the distance travelled by the tip is

= 2πr

= 2 x 3.14 x 6

= 12 x 3.14

= 37.68 feet

Thus, the minutes hand travel 37.68 feet.

Learn more about Circumference here:

brainly.com/question/28757341

#SPJ3

Answer 2
Answer: I have an answer of 73.4 following to the pi and doubled

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What is the experimental probability that the sum of the next two numbers rolled is greater than 5
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Which value of x makes the equation true? x – 5.1 = –7.6

Answers

x-5.1 = -7.6
 +5.1    +5.1
X= -2.5
 the answer is negative 25 because when you add -5.1 to both side you will get -2.5

What is the equation of a line that passes through the point (8,1) and is perpendicular to the line whose equation is y= -2/3 x + 5? A) 2X+3Y= 15
B) Y= -2/3x + 11
C) Y= 3/2x+ 11
D) y= 3/2x - 11

I am thinking its B but am not sure. I don't wanna retake this so I wanna be 100%. Thanks!!

Answers

Answer:

The equation of this line would be y = 3/2x - 11, which is the answer D.

Step-by-step explanation:

In order to find this equation we must first find the slope of the original line. The original slope (the coefficient of x) is -2/3, which means the new slope will also be 3/2 because perpendicular lines have opposite and reciprocal slopes. Now, we can use this slope along with the point in point-slope form to find the equation of the line.

y - y1 = m(x - x1)

y - 1 = 3/2(x - 8)

y - 1 = 3/2x - 12

y = 3/2x - 11

What is the solution to the following system of equations?

Answers

Answer:

The correct answer is first option (-5, 5)

Step-by-step explanation:

It is given that,

3x - 4y = -35 and 3x + 4y = 5

To find the solution

Let, 3x - 4y = -35   ------- (1)

      3x + 4y = 5    --------(2)

Eq(1) + (2) ⇒

6x = -35 + 5  = -30

x = -30/6 = -5

ex(1) ⇒  3x - 4y = -35  

3 *-5  - 4y = -35

-15 - 4y = -35

4y = -15 + 35 = 20

y = 20/4 = 5

Therefore x = -5 and y = 5

The correct answer is first option (-5, 5)

Express 17.16 as a mixed number in lowest terms

Answers

Answer:

17(4)/(25)

Step-by-step explanation:

First write 0.16 is a fraction. Start by dividing 16 by 100.

0.16\n=(16)/(100)\n=(16)/(100)*((1)/(4))/((1)/(4))\n=(4)/(25)

Now adding the 17 to that fraction that is equivalent to 0.16:

17+(4)/(25)\n=17(4)/(25)

I believe it is 17 4/25.
Hope this helps.

How would you write 60,000 in exponential notation?

Answers

Okay the answer is 6.0×10^4, you move the decimal point behind the first number and count all the spaces you moved. You moved four spaces so it would be to the power of 4. So 6.0×10^4 is the answer.
Exponential notation is basically just getting rid of zeroes!

It's really simple, promise.

60,000 has four zeroes
(All you have to do is count them)

Then you just have to apply the 6... 6 times 10^4

Hope I helped!

The ratio of the walking speeds of three peoplev in race walking is 3:4:5. If their walking
distances are the same, then the ratio of the
times taken is
A. 3:4:5.
B. 9:16:25.
c. 16:15:9.
D. 20:15:12​

Answers

3 : 4 : 5 = 3² : 4² : 5² = 9 : 16 : 25

The answer is B.

Hope this helps.