Answer:
200
Step-by-step explanation:
this is a 3-4-5 triangle so since 120/3 and 160/4 = 40 which are the two sides the ladder is 5*40=200
Answer:
3
Step-by-step explanation:
X+y=7
xy=4
in xy=4, divide both sides by any variable (lets say i divide it y y)
xy=4
x=4/y
Now substitute it to the 1st equation
x+y=7
4/y+y=7
Multiply both sides by y
4+y^2=7y
Change to standard form
y^2-7y=4
Use the square of something...
y^2-7y+49/4=4+49/4
(y+7/2)^2=65/4
Squareroot both sides
y+7/2=posinega(sqrt of 65)/2
y=(sqrt of 65)/2-7/2
or y=-(sqrt of 65)/2-7/2
The probability is 1/12.
There are two outcomes for flipping a coin and 6 for rolling a 6-sided number cube. The sample space is:
(H, 1), (H, 2), (H, 3), (H, 4), (H, 5), (H, 6)
(T, 1), (T, 2), (T, 3), (T, 4), (T, 5), (T, 6)
There are 12 total outcomes. Only one has heads and a 2, so the probability is 1/12.
Answer:
70.1 yards
Step-by-step explanation:
See the attached diagram.
Let AC is the reservoir with A as the bottom and C is the top.
Now, B is the position of Howard which is 109 yards from A i.e. AB = 109 yards.
Again, the angle elevation from B to C is 50 degrees.
So, ∠ ABC = 50°
Now, 
⇒ x = 109 cos 50 = 70.1 yards.
Therefore, the distance between the top of the reservoir and Howard i.e. BC is equal to 70.1 yards. (Answer)
