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2 years ago

SMART PPL PLEASE HELP ,Explain how you know the expression represents the area of shaded part of the rectangle.

Mathematics

2 answers:

MrRa [10]2 years ago

5 0

Answer:

6(m-2)

Step-by-step explanation:

Alright. Let's start by finding the length of this shaded area. The full length of the rectangle is 'm', and the part that is not shaded has a length of '2', so if we subtract the full length and the non-shaded length, we will get the shaded part's length. This is 'm-2'. The width/height we already know...it is 6, so-

Answer is: 6(m-2)

andrey2020 [161]2 years ago

4 0

Answer:

6(m-2)

Step-by-step explanation:

it is 6(m-2) because you would do the whole length of m minus 2.

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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.

3 0

3 years ago

Carter was given a box of assorted chocolates for his birthday. Each night, Carter treated himself to some chocolates. Carter at

yanalaym [24]

C(t) = 30 - 5t ur very much welcome

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2 years ago

50 inches tall last year and this year you are 60 inches tall. How much did you grow in the 1 year?

DiKsa [7]

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You grew 5 feet this year because you know that 1 foot is = to 12 inches. Divide 12 by 60 and you get 5.

Therefore, your answer is 5.

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3 years ago

What is the midpoint of a segment with endpoints at (−4, −8) and (8, 10)? A.(−6, −9) B.(−6, 1) C.(2, −9) D.(2, 1)

spayn [35]

$\text{The formula of the midpoint of segment AB:}\\\\\left(\dfrac{x_A+x_B}{2};\ \dfrac{y_A+y_B}{2}\right).\\\\\text{We have the points}\ A(-4,\ -8)\ \text{and}\ B(8,\ 10).\ \text{Substitute:}\\\\x=\dfrac{-4+8}{2}=\dfrac{4}{2}=2\\\\y=\dfrac{-8+10}{2}=\dfrac{2}{2}=1\\\\Answer:\ \boxed{D.\ (2,\ 1)}$

3 0

3 years ago

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lana66690 [7]

Answer:

Yep!

Step-by-step explanation:

I'm not 100% sure if your first one is correct, but I know the second one is! Great job :)

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