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2 years ago

PLEASE HELP ASAP

Mathematics

1 answer:

Mashutka [201]2 years ago

3 0

Answer:

Step-by-step explanation:

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Find the angle between u = (-2,-5) and v = (5,2)

OleMash [197]

The angle between u = (-2,-5) and v = (5,2) is 134 degrees approximately.

<u>Solution:</u>

Given, two vectors are u = (-2, -5) and v = (5, 2)

We have to find the angle between two vectors.

We know that,

$a. b=\|a\| .\|b\| \times \cos \theta$

where $\theta$ is angle between vectors a and b

$\text { Now vectors are }(-2 \vec{\imath}-5 \vec{\jmath}) \text { and }(5 \vec{\imath}+2 \vec{\jmath})$

$(-2 \vec{\imath}-5 \vec{\jmath}) \cdot(5 \vec{\imath}+2 \vec{\jmath})=\sqrt{(-2)^{2}+(-5)^{2}} \times \sqrt{5^{2}+2^{2}} \times \cos \theta$

$\text { since }\|a\|=\sqrt{x^{2}+y^{2}} \text { for } a=x \vec{\imath}+y \vec{\jmath}$

$\begin{array}{l}{-10-10=\sqrt{29} \times \sqrt{29} \times \cos \theta} \\\\ {-20=29 \times \cos \theta} \\\\ {\cos \theta=\frac{-20}{29}} \\\\ {\theta=\cos ^{-1} \frac{-20}{29}} \\\\ {\theta=133.60}\end{array}$

Hence, the angle between given two vectors is 134 degrees approximately.

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3 years ago

Geometry- Solve the portion. Question#4<br>

kotykmax [81]

Answer:

$d=18$

Step-by-step explanation:

<h3>First let's write our equation</h3><h3 /><h3> $\frac{6}{d-6} =\frac{4}{8}$ </h3><h3 /><h3>Reduce</h3>

<em>Definition - </em><em>reduction refers to the rewriting of an expression into a simpler form</em>

<h3 />

We can reduce $\frac{4}{8}$ to $\frac{1}{2}$

Our equation is now $\frac{6}{d-6} =\frac{1}{2}$

Now we can cross multiply

<em>Definition - </em><em>given an equation between two fractions or rational expressions, one can cross-multiply to simplify the equation or determine the value of a variable.</em>

$d-6=12$

We are adding because we want our variable to be on one side of the equation

$d=18$

<h3>To check we can show our equation but instead of d we have 18</h3><h3 />

$\frac{6}{18-6} =\frac{1}{2}$

Subtract and we get

$\frac{6}{12} =\frac{1}{2}$

Which makes it true

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2 years ago

Perimeter of a square is (12x-2y). What is the algebraic expression for the length of the side of the square?

sashaice [31]

Answer:

s = 3x - (1/2)y

Step-by-step explanation:

The perimeter of a square is 4s, where s is the side length. Here,

12x - 2y = 4s, and so s = 3x - (1/2)y

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3 years ago

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Answer:

Step-by-step explanation:

3*(3)^2-16

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pishuonlain [190]

Answer:

the answer will be 40.18

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All the best ！！

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