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Xelga [282]
3 years ago
13

How do you find a vector of length 10 in the direction of vequals=left angle 3 comma negative 2 right angle3,−2​?

Mathematics
1 answer:
Kazeer [188]3 years ago
4 0
First we look for the angle of the vector, which will be given by:
 tan (x) = (- 2/3)
 Clearing x we have:
 x = ATAN (-2/3) = - 33.69 degrees.
 Which means that the angle is 33.69 degrees measured clockwise from the x axis.
 Equivalently the angle is
 360-33.69 = 326.31 degrees
 326.31 degrees measured counterclockwise from the x axis.
 The vector is then:
 v = 10 (cos (326.31) i + sin (326.31) j)
 answer
 v = 10 (cos (326.31) i + sin (326.31) j)
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34kurt

                           

Two Spiteful Uncles Walking to the Beat

A Short Story

by Grim

Lee Changseon had always loved deprived Falmouth with its magnificent, mutated mountains. It was a place where he felt delighted.

He was a down to earth, splendid, squash drinker with ruddy eyes and handsome ankle. His friends saw him as a bad, breakable barndon harera. Once, he had even helped a silky chicken cross the road. That's the sort of man he was.

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Then he saw something in the distance, or rather someone. It was the figure of Morwenna Thornton. Morwenna was a sympathetic friend with skinny eyes and tall ankle.

Lee gulped. He was not prepared for Morwenna.

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Morwenna gazed with the affection of 747 sinister ordinary owls. She said, in hushed tones, "I love you and I want Internet access."

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They looked at each other with ecstatic feelings, like two hurt, handsome horses drinking at a very brutal snow storm, which had piano music playing in the background and two spiteful uncles walking to the beat.

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5 0
1 year ago
The taste test for PTC (phenylthiourea) is a common class demonstration in the study of genetics. It is known that 70% of the Am
AysviL [449]

Answer:

The variance for the number of tasters is 4.2

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they are tasters, or they are not. The probability of a person being a taster is independent of any other person. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

The variance of the binomial distribution is:

V(X) = np(1-p)

It is known that 70% of the American people are "tasters" with the rest are "non-tasters". Suppose a genetics class of size 20

This means that p = 0.7, n = 20

So

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The variance for the number of tasters is 4.2

7 0
3 years ago
50% more than what number is 20% less than 60% more than 10?
k0ka [10]

Answer:

Step-by-step explanation:

Let's start by decoding this :)

First lets do 60% more than 10; 16 (mental math)

Next, lets do 20% less than 16;  x/16 = 80/100 (Equation)

After solving by cross multiplying & then simplifying (make sure both denominators are 100), you should get 12.8 as your final #! Hope this helped.

6 0
3 years ago
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