Answer: 48
Step-by-step explanation:
The number of Pokemon cards in Steven's collection = x
The number of cards in Bob's collection is 4 times the amount in Steven's collection= 4x
The total number of Pokemon cards in both collections = 240
x + 4x = 240
5x = 240
x = 240/5
x = 48
The number of cards in Steven's collection is 48
<h3>
<u>Answer:</u></h3>

<h3>
<u>Step-by-step explanation:</u></h3>
In the given parallelogram we can see that , <B is 5x° and <C is equal to 2x + 12°.
And these two are co - interior angles . And sum of co - interior angles is 180°.
Hence , here

<h3>
<u>Hence the value of x is 24°</u><u>.</u></h3>

Answer: Hi!
First, UxV = sin(a)*IUI*IVI
where a is the angle between U and V, in this case 45°.
First, the cross product of UxV points:
Here you can use the right hand method,
Put your hand flat, so the point of your fingers point in the same direction that the first vector, in this case U, so your fingers will point to the north.
Now roll your fingers in the direction of the second vector, so here you will roll your fingers in the northeast direction. Now you will see that your thumb is pointing down, so the cross product of UxV points down.
And the magnitude is 6*5*sin(45) = 21.213
Answer:
Step-by-step explanation:
Let the males = x
Let the females = 8x
Let the total in the class = x + 8x = 9x
Females = 8x / 9x = 8/9
If you want the decimal, it is .889