The answer:
first of all, we should know that the expression of a vector V (a, b) can be written as follow:
V = r (Vx i + Vyj), where r is the length of the vector, it is r = sqrt(V²x + V²y)
Vx is the component lying on the x-axis and Vy on the y-axis
<span>v ⃗ lies in Quadrant II, means Vx is less than 0 (negative)
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so Vx= -r sin30° and Vy= rcos30°
r= <span>‖v ⃗ ‖=4√3
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so we have v = - 4√3sin30° i + 4√3 cos30° j
the components are
v(- 4√3sin30°, 4√3 cos30°) = (-2√3, 4√3 cos30°)
Answer: You can double the volume of te right prism by doubling either the height of the area of the base because if you do that it will either get double the height, therefore being double the size, or double the width, therefore being double the size as well. So the volume will also be double.
Step-by-step explanation:
Hi!
In this case, 'r' needs to be bigger than 19. So, basically any number over 19 will work! Even 19.00000000001284247 would work XD
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A good way to remember inequalities is this tale:
An alligator is hunting his prey. He looks around, and sees two numbers: 20 and 47. Both are delicious. But, 47 is bigger, a lot bigger.
Well, he ate 47. How do we know?
47>20
You can see him eating 47. Poor 47... 20 ran away 'cuz alligators are scary.
He's even picky! He'll always eat the number that's bigger. Like, wow:
13>12.999999
He'll even settle for letters if he knows they're bigger.
4x>2y (he found out from a gossiping 35 that x=3. That makes it 12. A lot bigger and tastier to the alligator.)
The alligator is still on the prowl. If you seem him, be sure to call him out on it, and make sure the inequality is balanced and makes sense.
If you found this especially helpful, I'd appreciate if you'd vote me Brainliest for your answer, if other people did not provide a helpful answer (but, I'm sure they did!). I want to be able to assist more users one-on-one! :)
Answer:
1=1
Step-by-step explanation:
x = theta
[cos(x) * 1/sin(x) * sin(x)/cos(x)] / [sin(x) * 1/cos(x) * cos(x)/sin(x)] = [cos(x)/cos(x) * sin(x)/sin(x)] / [sin(x)/sin(x) * cos(x)/cos(x)] = [1*1]/[1*1] = 1
Because csec(x) = 1/sin(x) , sec(x) = 1/cos(x), tan(x) = sin(x)/cos(x) & cot(x) = cos(x)/sin(x)
