Answer:
the length is 12 and the width is 9.
Step-by-step explanation:
The first step is always to assign letters to the variables. We can call length L and width W.
Since all units are in cm, unit conversion is unnecessary.
Next, set up some equations. L=2W-6 because of the first sentence of the problem. Length times width equals area, so L*W=108.
Now that there are two equations and two variables, the next step is to solve the system. I'm going to solve it by plugging in the right side of the first equation in for L in the second equation. This gives me (2W-6)*W=108. Distributing the W gives me 2W^2-6W=108, or W^2-3W-54=0. Using the quadratic formula, I get that W=9. Using the first equation, L=2*9-6=12. So the length is 12 and the width is 9.
Answer:
100 Cos 40° + 100 Sin 40° ≈ 141 yards
Step-by-step explanation:
From the diagram, side x is adjacent to the angle 40° while side y is the opposite to that same angle
This means that;
Cos 40° = x/100
x = 100 Cos 40°
Sin 40° = y/100
y = 100 Sin 40°
Therefore, total distance walked = x + y
" = 100 Cos 40° + 100 Sin 40° ≈ 141 yards
The probability of getting heads on the first toss is 1/2 .
Then, the probability of getting heads on the second toss is 1/2 .
Then, the probability of getting heads on the third toss is 1/2 .
The probability of all three things happening is ...
(1/2) x (1/2) x (1/2) = 1/8 = 0.125 = 12.5% .
Answer:
Step-by-step explanation:
Given
4 - 10 + 7 ( add the coefficients of the terms )
= (4 - 10 + 7)
= 1
=
Answer: 10
Step-by-step explanation:
