<u>Answer:</u>
The plane's resultant vector is 890.3 miles, at an angle of 59.5° west of north.
<u>Step-by-step explanation:</u>
• To find the magnitude of the resultant vector, we have to use Pythagoras's theorem:
where:
a ⇒ hypotenuse (= resultant vector = ? mi)
b, c ⇒ the two other sides of the right-angled triangle (= 452 mil North, 767 mi West).
Using the formula:
resultant² = 
⇒ resultant = 
⇒ resultant = 890.3 mi
• To find the direction, we can find the angle (labeled <em>x</em> in diagram) that the resultant makes with the north direction:
⇒ 
⇒ 
∴ The plane's resultant vector is 890.3 miles, at an angle of 59.5° west of north .
In the 
plane, we have 
everywhere. So in the equation of the sphere, we have
which is a circle centered at (2, -10, 0) of radius 4.
In the 
plane, we have 
, which gives
But any squared real quantity is positive, so there is no intersection between the sphere and this plane.
In the 
plane, 
, so
which is a circle centered at (0, -10, 3) of radius 
.
Clint randomly picks a card from a collection of eight hearts and two spades. Which situation can he represent with this simulation?
I think the correct answer for this question is :
A) randomly picking a napkin from a collection of four white napkins and one blue one
As you can see the probabilities are the same and that's how you figure your answer out.
Hope this helps!
8/8
I added them together since they say " Altogether "
Answer:
-78
Step-by-step explanation:
-78 - 20 = -98 which is less than -37,
im sorry this answer might be wrong i tried my best
