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kumpel [21]
3 years ago
13

Find the distance traveled by the tip of the second hand of a clock in one minute if the hand is 6cm long.

Mathematics
1 answer:
gayaneshka [121]3 years ago
4 0
The circumference of a circle with radius 6 inches is 12π inches. 15 minutes is 1/4 of the circle which is 60 minutes Therefore the tip moves 1/4 of 12π = 3π inches In 25 minutes the tip moves (25/60)12π = 5π inches Yes, you can also use the formula s = rθ θ is the angle of rotation. 15 minutes is equivalent to 90 degrees or π/2 radians Therefore s = 6 inches(π/2) = 3π inches 25 minutes is equivalent to 25/60 x 360 degrees = 150 degrees = 5π/6 radians 
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The sum of two numbers is -3 and their difference is 9 find the numbers​
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Answer:

-6 and 3

Step-by-step explanation:

3-(-6)=3 +6=9  (two negative signs= positive sign)

-6 +3 = -3

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3 years ago
A swimming pool and deck are built in a rectangle with length 40 ft and width 18 ft. If the pool itself is 320 square feet, what
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The vertices of a square are located at:
vivado [14]

Answer:

(4,4), (10,4), (10,10), (4,10)

Step-by-step explanation:

(2,2) x2 -> (4,4)

(5,2) x2 -> (10,4)

(5,5) x2 -> (10,10)

(2,5) x2 ->  (4,10)

Hope that helps!

5 0
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Read 2 more answers
Rectangle A measures 10 inches by 8 inches. Rectangle B is an enlarged copy of Rectangle A. Select all of the measurement pairs
Fudgin [204]

Answer:

See Explanation

Step-by-step explanation:

Given

Rectangle A:

Length: 10\ in

Width: 8\ in

Required

Determine the possible dimensions of Rectangle B

<em>The question has missing options; however, the question can still be solved.</em>

<em></em>

Rectangle B being an enlarged copy of A implies that the dimension of A A is enlarged in equal proportion to form B

Take for instance, the measurements of Rectangle B are

Length: 15 in

Width: 12 in

Divide the corresponding lengths of B by A to get the enlargement ratio

Ratio = \frac{B}{A}

For length:

Ratio = \frac{15}{10}

Ratio = 1.5

For width

Ratio = \frac{12}{8}

Ratio = 1.5

Notice that both ratios are the same.

For this measurement of B, we can conclude that B is an enlargement of A

Assume another measurements for B

Length: 20\ in

Width: 10\ in

Calculate Ratios

Ratio = \frac{B}{A}

For length:

Ratio = \frac{20}{10}

Ratio = 2

For width

Ratio = \frac{10}{8}

Ratio = 1.25

Notice that, both ratios are not equal.

For this measurement of B, we can conclude that B is not an enlargement of A

<em>Conclusively, all you have to do is: determine the ratios of the dimensions of B to A, if the result are equal then B is an enlarged copy of A; if otherwise, then B is not an enlarged copy</em>

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The letter will cost $1.98.
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