Answer: b is the answer
Step-by-step explanation:
Answer:
Bobby around 131 minutes and Billy around 111 minutes
Step-by-step explanation:
To solve the problem it is important to raise equations regarding what happens.
They tell us that Billy (Bi) and Bobby (Bo) can mow the lawn in 60 minutes. That is to say that what they prune in a minute is giving as follows:
1 / Bo + 1 / Bi = 1/60 (1)
They say Billy could mow the lawn only in 20 minutes less than it would take Bobby, therefore
1 / Bi = 1 / (Bo-20) (2)
Replacing (2) in (1) we have:
1 / Bo + 1 / (Bo-20) = 1/60
Resolving
(Bo - 20 + B0) / (Bo * (Bo-20) = 1/60
120 * Bo - 1200 = Bo ^ 2 - 20Bo
Rearranging:
Bo ^ 2 - 140Bo -1200 = 0
Now applying the general equation
Bo = 130.82 or Bo = 9.17, <em>this last value cannot be because Billy took 20 minutes less and neither can he prune faster than the two together</em>, therefore Bobby only takes around 131 minutes and Billy around 111 minutes
Checking with equation 1:
1/131 +1/111 = ~ 1/60
Answer:
(1;-2)
Step-by-step explanation:
x=-2y-3
2(2y+3)=-6y-9-5
10y=-20
y=-2
x=4-3=1
Sin = opposite/hypothenuse
Given opposite = 16
Hypothenuse = ?
Use Pythagorean theorem to find hypothenuse
12^2 + 16^2 = h^2
144 + 256 = h^2
h^2 = 400, h = 20
You know hypothenuse is 20
Opposite/hypothenuse
Solution: 16/20
Simplify if you need to (4/5)
Answer:
Step-by-step explanation:
1). Since, m∠1 + m∠2 = 180° [Supplementary angles]
If m∠2 = 120°
m∠1 + 120° = 180°
m∠1 = 180° - 120°
m∠1 = 60°
2). If a transversal intersects two parallel lines on the top and middle,
∠1 and ∠5 will be corresponding angles.
3). Since, m∠1 = m∠5 = 60° (Corresponding angles)
Therefore, both the lines on top and middle will be parallel.
4). Since, m∠9 + m∠11 = 180° [Supplementary angles]
If m∠11 = 120°
m∠9 + 120° = 180°
m∠9 = 60°
Since, m∠1 = m∠9 = 60° [Corresponding angles]
Therefore, both the lines on the top and bottom shelves will be parallel.
5). Since, m∠5 = m∠9 = 60° [Corresponding angles]
Therefore, middle and bottom shelves will be parallel.
