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3 years ago

The measure of angle pace is 110 what is the measure of angle qcr

Mathematics

1 answer:

Maksim231197 [3]3 years ago

4 0

Answer:

I can't help you in this question because there isn't enough information and i cant see numbers

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If Vector u=(5,-7) and v=(-11,3), 2v-6u=_____ and ||2v-6u||≈_____

Sauron [17]

<h2>Answer:</h2>

$2\vec{v}-6\vec{u}=(-52,48) \\ \\ ||2\vec{v}-6\vec{u}||=75.28}$

<h2>Step-by-step explanation:</h2>

In this problem we have two vectors:

$\vec{u}=(5,-7) \ and \ \vec{v}=(-11,3)$

So we need to find two things:

$2\vec{v}-6\vec{u}$

and:

$||2\vec{v}-6\vec{u}||$

FIRST:

In this case we have the multiplication of vectors by scalars. A scalar is a simple number, so:

$2\vec{v}-6\vec{u} \\ \\ Replace \ \vec{v} \ and \ \vec{u} \ by \ the \ given \ vectors: \\ \\ 2(-11,3)-6(5,-7) \\ \\ Multiply \ each \ component \ by \ the \ corresponding \ scalar:\\ \\ (2\times (-11),2\times 3)+(-6\times 5,-6\times (-7)) \\ \\ (-22,6)+(-30,42) \\ \\ Sum \ of \ vectors: \\ \\ (-22-30,6+42) \\ \\ \therefore \boxed{(-52,48)}$

SECOND:

If we name:

$\vec{w}=2\vec{v}-6\vec{u}$

Then, $||2\vec{v}-6\vec{u}||$ is the magnitude of the vector $\vec{w}$ . Therefore:

$||\vec{w}||=||2\vec{v}-6\vec{u}|| \\ \\ ||\vec{w}||=||(-52,48)|| \\ \\ ||\vec{w}||=\sqrt{(-58)^2+48^2} \\ \\ ||\vec{w}||=\sqrt{3364+2304} \\ \\ ||\vec{w}||=\sqrt{5668} \\ \\ \boxed{||\vec{w}||=75.28}$

5 0

2 years ago

Read 2 more answers

How to find Lateral area of this rectangular prism??<br><br>Plzz help me it is due tomorrow!!

yaroslaw [1]

Answer:

132 square millimeters

Step-by-step explanation:

THe <u>lateral area</u> of a rectangular prism is the side areas. That is

all 4 sides of the rectangular prism (that are rectangles each).

So, we find each side area and add them up.

The area of a rectangle is:

Area = length * width

The left side (in gray) is 9 mm x 3mm, so area:

area = 9 * 3 = 27

The right side rectangle is same, so that would have an area of:

area = 9 * 3 = 27

Now, the front side's measurement is 3 x 13, so the area is:

Area = 3 * 13 = 39

THe back is same, so the area would be:

Area = 3 * 13 = 39

<u>Total Surface Area = 27 + 27 + 39 + 39 = 132 square millimeters</u>

6 0

3 years ago

Which of the following are solutions of the equation ? + 18 = 82?

vazorg [7]

Answer:

Step-by-step explanation:

if you do 64 + 18 you will get 82.

4 0

3 years ago

Enrique and Yolanda collected 500 pieces of candy on Halloween. They gave half of their candy to charity. Yolanda took 180 piece

777dan777 [17]

The answer would be C. (He counted Yolanda's candy as his own).

This is found by multiplying 500 (starting number of candy) and .64 (percentage divided by a hundred). Thjs would guve you 320, which you would then subtract from the starting number of candy (500) to get 180. 180 is Yolanda's number of candy, which gives you the answer.

4 0

3 years ago

What is the value of<br> –4.00<br> –0.25<br> 1.51<br> 2.41

soldier1979 [14.2K]

For this case we must resolve the following expression: $log_ {0.5} (16)$