Answer:
in terms of pi: 4500π units^3
decimal: 14137.16694 units^3 (ROUND TO THE NEAREST DECIMAL POINT BASED OFF OF THE QUESTION PROMPT!)
Step-by-step explanation:
FOR “IN TERMS OF PI” =
V = (4/3) (π) (15^3)
V = (4/3) (π) (3375)
V=4500π
FOR ACTUAL DECIMAL=
V = (4/3) (π) (15^3)
V = (4/3) (π) (3375)
V=4500π
V= 14137.16694 units^3
hope this helps! :)
(please mark brainliest if you can! ty :D)
Answer:
multiplication by d=> 2d^3, 11d^2, -4d
multiplication by -9=>-18d^2,-99d, 36
The answers are in order from left to right.
Step-by-step explanation:
mark me as brainliest plz
Answer:
y = 1/2x + 1
In order to evaluate a slope that is perpendicular to the given equation, you need to find the opposite reciprocal of the original slope. This means you take the original slope, flip the numerator and the denominator, and change the sign in front.
-2 ⇒ 1/2
Next, we need to substitute the information given into the point-slope formula.
The point-slope formula is:
y - y₁ = m(x - x₁)
y - 1 = 1/2(x - 0)
y - 1 = 1/2x
y = 1/2x + 1
Therefore, the line perpendicular to y = -2x + 2 is y = 1/2x + 1.
Answer:
The unit vector u is (-5/√29) i - (2/√29) j
Step-by-step explanation:
* Lets revise the meaning of unit vector
- The unit vector is the vector ÷ the magnitude of the vector
- If the vector w = xi + yj
- Its magnitude IwI = √(x² + y²) ⇒ the length of the vector w
- The unit vector u in the direction of w is u = w/IwI
- The unit vector u = (xi + yj)/√(x² + y²)
- The unit vector u = [x/√(x² + y²)] i + [y/√(x² + y²)] j
* Now lets solve the problem
∵ v = -5i - 2j
∴ IvI = √[(-5)² +(-2)²] = √[25 + 4] = √29
- The unit vector u = v/IvI
∴ u = (-5i - 2j)/√29 ⇒ spilt the terms
∴ u = (-5/√29) i - (2/√29) j
* The unit vector u is (-5/√29) i - (2/√29) j
Answer:
(-4,3)
Step-by-step explanation:
