All categories

3 years ago

Q7 Q7.) Find the unit vector in the same direction as v.

Mathematics

2 answers:

igor_vitrenko [27]3 years ago

7 0

Use Pythagorean theorem:

9i-j = sqrt (9^2 - 1^2) = sqrt(81-1) = sqrt80

now divide both terms in V by that:

u = 9/sqrt(80)i - 1/sqrt(80)j

see attached picture:

Tju [1.3M]3 years ago

6 0

|v| = sqrt(9^2+(-1)^2)=sqrt(82)

u = v/|v| = 9/sqrt(82) i - 1/sqrt(82) j

You might be interested in

For student spent $12 on school lunch at this rate find the amount 10 students would spend on the same school lunch?

ASHA 777 [7]

12 / 4 = 3
3 * 10 = 30

6 0

3 years ago

Read 2 more answers

The formula for converting the temperature in Fahrenheit to degrees Celsius is given by the formula C=5/9(F-32), where c is the

nikitadnepr [17]

Answer:

(C * 9/5) + 32

Step-by-step explanation:

Basically, going from fahrenheit to celcius, you have to Deduct 32, then multiply by 5/9. So just reverse it, instead, you multiple it by the reciprocal, which is "9/5" then you add 32. Simple. :)

7 0

3 years ago

What is the volume, in cubic cm, of a cylinder with a height of 8cm and a base radius of 7cm, to the nearest tenths place?

FromTheMoon [43]

Answer:

Volume of the cylinder = $1230.88\,cm^3$

Step-by-step explanation:

Height(h) of the cylinder = $8 cm$

Radius(r) of the base= $7cm$

Volume of a cylinder is:

= $\pi \times r^2\times h$

As,

$\pi =\dfrac{22}{7} = 3.14$

Putting the values in the formula:

Volume is:

$=3.14\times(7\times7)\times8\\\\=3.14\times49\times8\\\\=3.14\times392\\\\=1230.88\,cm^3$

The volume of the cylinder is : $1230.88\,cm^3$

7 0

3 years ago

Write an expression that represents the volume of a rectangular-shaped box with a length 3 inches less than its height and a wid

AfilCa [17]

The expression that represents the volume of a rectangular-shaped box is: A. x³ + x² - 12x.

<h3>What is the Volume of a Rectangular Prism?</h3>

A rectangular-shaped box is a rectangular prism. To find the volume of a rectangular-shaped box, we would apply the formula of the volume of a rectangular prism, which is expressed as: V = (length)(width)(height).

We are given the following dimensions of the rectangular-shaped box:

Let the height be represented as x

Height of the rectangular-shaped box = x in.

Length of the rectangular-shaped box = (x - 3) in.

Width of the rectangular-shaped box = (x + 4) in.

Plug in the values into the volume formula:

Volume of the rectangular-shaped box = (x - 3)(x)(x + 4)

Expand (x - 3)(x)(x + 4)

Volume of the rectangular-shaped box = x³ + x² - 12x.

Therefore, the expression that represents the volume of a rectangular-shaped box with the given dimensions is: A. x³ + x² - 12x.

Learn more about the volume of rectangular prism on:

brainly.com/question/12917973

#SPJ1

5 0

2 years ago

A jar contains only pennies, nickels, dimes, and quarters. There are 16 pennies, 18 dimes, and 28 quarters. The rest of the

tatyana61 [14]

Answer:

I hope this helps you

Step-by-step explanation:

84-16=68

68-18=50

50-28=22

n=22

equation:84-(16+18+28)

6 0

3 years ago

Read 2 more answers