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3 years ago

A clock has a second hand that is 8 inches in length. What is the linear velocity of the second hand?

Mathematics

1 answer:

quester [9]3 years ago

6 0

Answer:

6π inches/min

Step-by-step explanation:

he tip of the second hand makes a complete circle in

60 sec, or 1min

The length of this circle is the circumference, C

C=2πr

Given: r=8 in

C= 2π×8 =16π

C= 16π

The linear velocity is 6π/1 = 6π inches/min

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Describe the transformation in the figure below

Keith_Richards [23]

Answer:

A) Reflection.

Step-by-step explanation:

From the figure shown, we can see that the blue triangle is flipped about the x-axis to form the red triangle.

When an object is flipped about a line, then this transformation is called reflection about that line.

Thus, we can say that reflection is taking place in the figure shown in which the x-axis is acting like a mirror. The blue triangle is the pre-image and the red triangle is the image after reflection.

The reflection about x-axis is given by:

$Pre-image(x,y)\rightarrow Image(x,-y)$

We can check the co-ordinates of the triangles and confirm the the transformation occurring

Points of pre-image triangle:

$(0,2),(4,5),(6,2)$

Points of image triangle

$(0,-2),(4,-5),(6,-2)$

Thus, the transformation is reflection.

3 0

4 years ago

Subtract the following polynomials

sukhopar [10]

subtracting term by term

(3.1x - 4.3x ) + (2.8z - (- 1.2z ) )

= - 1.2x + (2.8z + 1.2z ) = - 1.2x + 5z

6 0

3 years ago

HELP

hodyreva [135]

The answer is D: 16,800 because you multiply the principal ($6,000), rate (7%), and time (4 years) to get the interest

4 0

4 years ago

Four consecutive even integers add up to 372. What are the integers

stepan [7]

Answer:

90, 92, 94, 96

Step-by-step explanation:

Let the three consecutive even integers be x, (x + 2), (x +4) & (x + 6)

$\therefore \: x + (x + 2) + (x + 4) +(x +6)= 372 \\ \therefore \:4x + 12 = 372\\ \therefore \:4x = 372 - 12 \\ \therefore \:4x = 360 \\ \therefore \:x = \frac{360}{4} \\ \therefore \:x =90 \\ x + 2 = 90 + 2 = 92 \\ x + 4 = 90 + 4 = 94\\x + 6= 90 + 6= 96 \\$

Hence, the three consecutive even integers are 90, 92, 94, 96.

7 0

3 years ago

What is five eighth times seven eleventh?

Ipatiy [6.2K]

Five eighths times seven elevenths =
5/8 x 7/11 =
35/88

4 0

4 years ago