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lapo4ka [179]
3 years ago
8

The second hand on a clock is 8 \text{ cm}8 cm8, space, c, m long. What is the distance the tip of the second hand travels in 10

1010 minutes? Round your answer to the nearest \text{cm}cmc, m. \text{cm}cm
Mathematics
1 answer:
arsen [322]3 years ago
5 0

Answer:

The distance the tip of the second hand travels in 10 minutes is 502 cm.

Step-by-step explanation:

Given : The second hand on a clock is 8 cm long.

To find : What is the distance the tip of the second hand travels in 10 minutes?

Solution :

The circumference of clock is C=2\pi r

The radius is r=8 cm

C=2\times 8\times \pi

C=16\pi

i.e. in 1 minute it cover  16\pi

In 10 minutes it cover  16\pi\times 10

In 10 minutes it cover  160\times 3.14

In 10 minutes it cover  502.4

Therefore, the distance the tip of the second hand travels in 10 minutes is 502 cm.

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The endpoints of PQ are P(2, 0) and Q (4, 2). Find the coordinates of midpoint PQ.
lawyer [7]

Answer:

Step-by-step explanation:

Parameterize the ellipse as (acos∙,bsin∙). Take points P:=(acosp,bsinp) and Q:=(acosq,bsinq) on the ellipse, with midpoint M:=(P+Q)/2.

If |PQ|=2k, then

a2(cosp−cosq)2+b2(sinp−sinq)2=4k2

The coordinates of M are

xy==a2(cosp+cosq)b2(sinp+sinq)

4 0
4 years ago
Here are four questions A) 2/5 B) 2/3 C) 1/4 D) 1/10 put them in order
lara [203]

Answer:

1/10, 1/4, 2/5, 2/3.

Step-by-step explanation:

Convert the fractions into decimals.

2/5 = 0.4

2/3 ≈ 0.66666

1/4 = 0.25

1/10 = 0.1

Arrange from smallest to largest.

0.1, 0.25, 0.4, 0.6666

Change back to fraction form.

1/10, 1/4, 2/5, 2/3.

3 0
3 years ago
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Maxine bought items costing $5.25, $18.99, $2.99, and $17.50. She used a coupon worth $5.50. If Maxine had $60.00 before she wen
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The answer should be $20.77
6 0
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Where is the exact volume of the sphere
baherus [9]

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7 0
3 years ago
A transformation T : (x, y) → (x + 3, y + 1). Find the preimage of the point (4, 3) under the given transformation. (7, 4) (1, 2
motikmotik

Answer:

(1, 2)

Step-by-step explanation:

Remember that the final shape and position of a figure after a transformation is called the image, and the original shape and position of the figure is the pre-image.

In our case, our figure is just a point. We know that after the transformation T : (x, y) → (x + 3, y + 1), our image has coordinates (4, 3).

The transformation rule T : (x, y) → (x + 3, y + 1) means that we add 3 to the x-coordinate and add 1 to the y-coordinate of our pre-image. Now to find the pre-image of our point, we just need to reverse those operations; in other words, we will subtract 3 from the x-coordinate and subtract 1 from the y-coordinate.

So, our rule to find the pre-image of the point (4, 3) is:

T : (x, y) → (x - 3, y - 1)

We know that the x-coordinate of our image is 4 and its y-coordinate is 3.

Replacing values:

                (4 - 3, 3 - 1)

                (1, 2)

We can conclude that our pre-image is the point (1, 2).

6 0
3 years ago
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