Can somebody plz help and try answering these word problems correctly thanks!

Mathematics

2 answers:

konstantin123 [22]2 years ago

6 0

Answer:

21. $18.00

22. $75.00

Step-by-step explanation:

21. you can first start by seeing that since two pairs of socks are $6, then one pair must be $3. So, by multiplying 6 by 3, you would get 18 which would show that the socks would cost $18.

22. By dividing 15 by 3, you can deduce that an hour of cleaning would yield $5. So, by multiplying that by 15, she would earn $75.

Hope this helped!

Nookie1986 [14]2 years ago

5 0

Answer:

21. is 18 dollars

22. is 75 dollars

Step-by-step explanation:

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wlad13 [49]

Answer:

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2 years ago

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If for two non-zero vectors a,b : ∣a+b∣=∣a−b∣ then angle between them is:______a. 0b. 45c. 60d. 90

Eddi Din [679]

Answer:

$90^\circ$

Step-by-step explanation:

Given two non zero vectors, $\vec a, \vec b$ .

Let the angle between the two vectors = $\theta$

Given that:

$|\vec a+\vec b|=|\vec a-\vec b|$

Let us have a look at the formula for magnitude of addition of two vectors:

$|\vec x+\vec y|=\sqrt{x^2+y^2+2xycos\theta}$

Where $\theta$ is the angle between the two vectors.

formula for magnitude of subtraction of two vectors:

$|\vec x-\vec y|=\sqrt{x^2+y^2-2xycos\theta}$

As per the given condition:

$\sqrt{a^2+b^2+2abcos\theta}=\sqrt{a^2+b^2-2abcos\theta}$

Squaring both sides:

$a^2+b^2+2abcos\theta=a^2+b^2-2abcos\theta\\\Rightarrow 2abcos\theta=-2abcos\theta\\\Rightarrow cos\theta = -cos\theta\\\Rightarrow 2cos\theta = 0\\\Rightarrow cos\theta = 0\\\Rightarrow \theta = 90^\circ$