Answer: 3
Step-by-step explanation:
The 3D vector consists of 3 axes, let's say x, y and z.
Now, a vector P lies in all of them.
So, the angle it makes with x axis is α
The angle it makes with y axis is β
The angle it makes with z axis is γ
So, to determine the Cartesian components or to resolve the vector into it's Cartesian components we need 3 angles with each axis.
40 feet or 13 yards and 1 foot
using the conversion
1 yard = 3 feet then 1 yard 2 feet = 5 feet ← material for 1 pillow, hence
8 pillows require 8 × 5 = 40 feet
Answer:
x > - 1
Step-by-step explanation:
Given
- 3x - 5 < - 2 ( add 5 to both sides )
- 3x < 3
Divide both sides by - 3, reversing the symbol as a result of dividing by a negative quantity
x > - 1
Answer:
The slope will be 1/2.
Step-by-step explanation:
Sine the lines are perpendicular, the slope of the green line will be the negative reciprocal of the slope of the red line. To find the negative reciprocal of -2, first change the sign. Since the slope is negative, make it positive 2. Then to find it's reciprocal, divide 1 by your answer. 1 divided by 2 is one half, s that is your answer.
Answer:
138 pounds
Step-by-step explanation:
Let the required weight of the patient be x pounds.
We have that,
156 milligrams of medicine is required for a patient weighing 104 pounds.
Then, 207 milligrams of medicine will be required for a patient having weight as shown below,
Weight of the patient = 
i.e. x = 
i.e. x = 
Hence, the patient needing 207 milligrams of medicine will have the weight 138 pounds.