Answer:
Component Form: v = <-1,6>
Magnitude of v: ||v|| = √37
Direction of v: θv = 100° (to the nearest degree)
Step-by-step explanation:
Component Form: v = <(5-6),(3-(-3))> = <-1,6>
Magnitude of v: ||v|| = √[(-1)²+(6)²] = √(1+36) = √37
Direction of v: α = tan⁻¹|6/-1| = tan⁻¹|-6| = tan⁻¹(6) = 80.53° which is your reference angle, but to verify that the angle is in the second quadrant, you'll need to do θv = 180° - 80.53° = 99.47°, therefore your direction angle is θv=100° to the nearest degree.
Answer:
x=5
Step-by-step explanation:

add 11 to both sides

Divide 4 on both sides

Take the square root of both sides to eliminate the power of two from x

Simplify

Answer:
320 square feet
Step-by-step explanation:
To find the space you can cover with 1-pound bag of fertilizer, we need to divide 1,200 by 3.75. It makes things easier to think of how 3.75 ÷ 3.75 = 1. Anyways, 1,200 ÷ 3.75 = 320. Therefore, you can cover 320 square feet with a 1-pound bag of fertilizer.
The volume of the pyramid with the given length, width and height is 165in³.
<h3>What is the volume of the pyramid?</h3>
The volume of a right rectangular pyramid is expressed as;
V = ( L × W × H ) / 3
Given that;
- Length L = 11in
- Width W = 9in
- Height H = 5in
We substitute into the equation above.
V = ( L × W × H ) / 3
V = ( 11in × 9in × 5in ) / 3
V = 495in³ / 3
V = 165in³
The volume of the pyramid with the given length, width and height is 165in³.
Learn more about volume of pyramid here: brainly.com/question/17615619
#SPJ1
Answer:
60
Step-by-step explanation: