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2 years ago

The end of a minute hand on a clock is 5.5 inches from the center. How far will the minute hand travel over three days

Mathematics

1 answer:

pashok25 [27]2 years ago

6 0

Answer:

Step-by-step explanation:

Given :

Radius, r = Length of hour hand = 5.5 inches

A complete cycle is traveled in 24 hours ;

C = 2πr

C = 2 * π * 5.5 = 34.557519 inches

In 3 days : It will travel 3 full cycles

3 * C = 3 * 34.557519 inches

= 103.672557 inches

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Find the coordinates of the image of a triangle with vertices A(0, – 3), B(3, 0), and

lora16 [44]

Answer:

A'(-3,0), B'(0,-3) and C'(4,7)

Step-by-step explanation:

We are given that the vertices of triangle are A(0,-3), B(3,0) and C(-7,4).

We have to find the coordinates of the image of triangle under a rotation of 90° clockwise about the origin.

90° clockwise about the origin

Rule: $(x,y)\rightarrow (y,-x)$

Using the rule

The coordinates of A'

$A(0,-3)\rightarrow A'(-3,0)$

The coordinates of B'

$B(3,0)\rightarrow B'(0,-3)$

The coordinates of C'

$C(-7,4)\rightarrow C'(4,7)$

Hence, the vertices of image of triangle is given by

A'(-3,0), B'(0,-3) and C'(4,7)

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