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3 years ago

Coterminal angle help

Mathematics

1 answer:

makkiz [27]3 years ago

7 0

Answer: 320

Step-by-step explanation:

Coterminal means it is in the same place on the Unit Circle but with one or more rotations clockwise or counterclockwise.

Note: one rotation is 360°

-760 + 360 = -400

-400 + 360 = -40

-40 + 360 = 320

320 is between 0 and 360 so this is the angle we are looking for!

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sdas [7]

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21: 3 740: 222 5 GCF: The Greates Common Factor (GCF) is: 1

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4 years ago

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3 years ago

Given that P = (-5, 5) and Q = (-13, 6), find the component form and magnitude of 2vector PQ

Andreyy89

ANSWER

Component form:

$\binom{ - 16}{2}$

2. Magnitude

$2\sqrt{65}$

EXPLANATION

Given that P = (-5, 5) and Q = (-13, 6),

Vector PQ

$= \binom{ - 13}{6} - \binom{ - 5}{5}$

$= \binom{ - 13 + 5}{6 - 5}$

$= \binom{ - 8}{1}$

2 vector PQ

$= 2 \binom{ - 8}{1}$

$= \binom{ - 16}{2}$

This is the component form.

The magnitude is given by

$= \sqrt{ {x}^{2} + {y}^{2} }$

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$= \sqrt{256 + 4}$

$= \sqrt{260}$

$= 2\sqrt{65}$

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3 years ago

What is the approximate volume of a cone with a height of 9 ft and radius of 3 ft?

tensa zangetsu [6.8K]

Volume of a cone=1/3 times height times area of base
area of base=area of circle=pi times r^2
r=3
aprox pi to 3.14
height=9

so we have
volume=1/3 times 9 times 3.14 times 3^2
3^2=9
1/3 times 9 times 3.14 times 9
3 times 3.14 time s9
9.42 times 9
84.78
nearest tenth
0.78=0.8

answer is 84.8 ft^3

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