Answer:
450 minutes
Step-by-step explanation:
Given
w = 45000 - 100t
Required
Determine how long it'll take to empty the pool
Being empty means there's no water in the pool.
So, we have to set w to 0 to get the value of t
i.e w = 0
Substitute 0 for w in w = 45000 - 100t
0 = 45000 - 100t
Collect Like Terms
100t = 45000
Divide through by 100.
t = 450
Hence, it'll take 450 minutes to empty the pool
Answer:
The correct option is;
r = √(x² + y²)
θ = tan⁻¹(y/x)
Step-by-step explanation:
The rectangular coordinate of a complex number on the complex plane is given as (x, y)
Given that the complex number is represented by a point on the plane, we have;
The distance, r, of the point from the origin, (0, 0) is r = √(x² + y²)
The direction, θ, by which we rotate to be in line with the point on the complex number is given by tan⁻¹(y/x)
Answer:
C. 85 degrees
Step-by-step explanation:
Step 1: Set up equation
x + 57 + 96 + x = 131
Step 2: Solve for <em>x</em>
2x + 153 = 131
2x = -22
x = -11
Step 3: Find m∠RQU
m∠RQU = 96 + <em>x</em>
m∠RQU = 96 - 11
m∠RQU = 85°
3.174 is closer to 3.2 because, when rounding, 0.07 rounds up to 0.2.
9514 1404 393
Answer:
Step-by-step explanation:
Write the power of ten in standard form and do the multiplication.
2.09 × 10^5 = 2.09 × 100,000 = 209,000
9.4387 × 10^4 = 9.4387 × 10,000 = 94,387
1.3 × 10^-3 = 1.3 × 0.001 = 0.0013
