Answer:
The component form of the vector that represents the velocity of the airplane is 
Step-by-step explanation:
Given;
velocity of the airplane, v = 75 mph
direction of the plane, θ = 9°
The vertical component of the velocity is given by;

The horizontal component of the velocity is given by;

Therefore, the component form of the vector that represents the velocity of the airplane is given as;

6 x 89 is 534
6 x (90 - 1) is 534. BUT you have to subtract 90 from 1 and that's 89. So then you multiply 6 by 89.
6 x 90 is 540 and 6 x 1 is 6. you take 540 subtract 6 and that's 534.
540 - 6 is 534.
Answer:
32
Step-by-step explanation:
Let's say n such books make up the stack.
If each book is 3/4 inch thick, it contributes 3/4 to the total height of the stack – 24 inches.
==> number of books × 3/4 = 24
(<em>to</em><em> </em><em>get</em><em> </em><em>this</em><em> </em><em>result</em><em> </em><em>add</em><em> </em><em>the</em><em> </em><em>heights</em><em> </em><em>of</em><em> </em><em>n</em><em> </em><em>such</em><em> </em><em>book</em><em>,</em><em> </em><em>and</em><em> </em><em>equate</em><em> </em><em>it</em><em> </em><em>to</em><em> </em><em>2</em><em>4</em><em>.</em><em> </em><em>You'll</em><em> </em><em>get</em><em> </em><em>something</em><em> </em><em>like</em><em>:</em>
<u><em>3</em><em>/</em><em>4</em><em> </em><em>+</em><em> </em><em>3</em><em>/</em><em>4</em><em> </em><em>+</em><em>.</em><em> </em><em>.</em><em> </em><em>.</em><em> </em><em>.</em><em> </em><em>n</em><em> </em><em>times</em><em> </em><em>=</em><em> </em><em>2</em><em>4</em></u>
<em>And</em><em> </em><em>that's</em><em> </em><em>what's</em><em> </em><em>meant</em><em> </em><em>by</em><em> </em><em>3</em><em>/</em><em>4</em><em> </em><em>×</em><em> </em><em>n</em><em> </em><em>=</em><em> </em><em>2</em><em>4</em><em>)</em>
==> n × 3/4 = 24
<em>multiply</em><em> </em><em>both</em><em> </em><em>sides</em><em> </em><em>by</em><em> </em><em>4</em>
<em>=</em><em>=</em><em>></em><em> </em>n × 3 = 24 × 4
<em>divide</em><em> </em><em>both</em><em> </em><em>sides</em><em> </em><em>by</em><em> </em><em>3</em>
==> n = (24 × 4)/3
==> n = 8 × 4
==> n = 32
We assumed the number of books to be n.
so the answer is:
<u> <em>32</em></u> books, each if height 3/4 inch, are required to build a stack 24 inches high.
Using the distributive property to factorize the equation 3x² + 24x = 0, you get 3x(x + 8) = 0 and the solution of the equation is x = -8
<h3>How to factorize the expression?</h3>
The expression is given as:
3x² + 24x = 0
Factor out 3x
3x(x + 8) = 0
Divide both sides by 3x
x + 8 = 0
Subtract 8 from both sides
x = -8
Hence, the solution of the equation is x = -8
Read more about factorized expressions at:
brainly.com/question/7438300
Answer:
For producing 90° rotation clockwise abut origin we have to multiply with -i
Step-by-step explanation:
We know that when we multiply with i in an number then it will give 90° counterclockwise rotation
We have to find the quantity after which it will produce 90° clockwise rotation
Generally we take counterclockwise as positive angle and clockwise as negative angle
So basically we have to produce -90° angle
For producing 90° rotation clockwise abut origin we have to multiply with -i