Answer:
Step-by-step explanation:
Set this up as a proportion, with inches on the top and feet on the bottom for our scale. We will find the actual length first, then we'll find the width.
Cross multiply to get that the actual length is 5(2.5) = 12.5 feet. Now for the width:
Cross multiply to get that the actual width is 5(3) = 15 feet.
If you want the area of the room, multiply the length times the width to get
A = 15(12.5)
A = 187.5 feet squared
A system of linear inequalities in two variables consists of at least two linear inequalities in the same variables. The solution of a linear inequality is the ordered pair that is a solution to all inequalities in the system and the graph of the linear inequality is the graph of all solutions of the system.
Is the same as the one you just did.
keep in mind that, going against the current, the current's speed erodes speed from your regular speed, whilst if you're going with the current, the current's speed adds to it.
now, in this case, you row 5mph, going upstream you're only doing 3mph, whatever happened to the other 2mph? well, the current speed eroded them, meaning the speed of the river is 2mph.
now, going downstream with the current, your regular speed is 5mph, and the current is 2mph, since the current adds to yours, then you're going 5 + 2, mph.
Answer:
x = 2.8
y = 2
Step-by-step explanation:
Reference angle = 45°
Opposite = 2
Hypotenuse = x
Adjacent = y
✔️To find x, apply the trigonometric function SOH:
Sin 45 = Opp/Hyp
Sin 45 = 2/x
x*Sin 45 = 2
x = 2/Sin 45
x = 2.82842712 ≈ 2.8 (nearest tenth)
✔️To find y, apply the trigonometric function TOA:
Tan 45 = Opp/Adj
Tan 45 = 2/y
y*Tan 45 = 2
y = 2/Tan 45
y = 2
Answer:
- x² - 8x + 12
- x³ + 2x² - 15x - 36
- x³ -2x² - 15x
Step-by-step explanation:
#1) Find the polynomial with roots at 2 and 6
-
(x -2)(x - 6) = x² - 8x + 12
#2) Find the polynomial with a double root at -3 and another root at 4
-
(x+3)(x+3)(x-4) = (x²+6x+9)(x-4) = x³ + 2x² - 15x - 36
#3) Find the polynomial with roots 0, -3 and 5
- (x -0)(x+3)(x-5) = x(x²-2x - 15) = x³ -2x² - 15x
