Question:
The parallelogram shown below has an area of 40 units squared.
Find the missing base.
Answer:
See Explanation Below
Step-by-step explanation:
The question is incomplete as the diagram which shows the dimension of the parallelogram is not attached.
However, I'll give a general explanation on how to get the base of the parallelogram. If you follow this explanation, you'll get the right answer regarding your question.
The area of a parallelogram is calculated as thus.
Area = Base * Height
Given that the area = 40 units²
Let's assume the height of the parallelogram is 10 unit.
All you need to do is to plug in these values in the formula above..
Area = Base * Height becomes
40 = Base * 10
Divide both sides by 10
40/10 = Base * 10/10
4 = Base
Hence, Base = 4 units
Or take for instance the height is 5 units.
You'll still follow the simple steps as it is above.
Area = Base * Height becomes
40 = Base * 5
Divide both sides by 5
40/5 = Base * 5/5
8 = Base
Hence, Base = 8 units
Answer:
B) 47.1°
Step-by-step explanation:
The tangent relation is useful here.
Tan = Opposite/Adjacent
The original height of the tree is the side of the triangle that is opposite the angle of elevation:
Opposite = Adjacent × Tan
original height = (25 ft)×tan(34°) ≈ 16.863 ft
__
After growing an additional 10 ft, the tree has a height of ...
16.863 ft + 10 ft = 26.863 ft
Then the angle of elevation is found from ...
tan(angle) = (26.863 ft)/(25 ft) ≈ 1.07451
angle of elevation = arctan(1.07451) ≈ 47.057°
The angle of elevation to the top of the tree is about 47.1°.
Answer:
30 yellow m&m's
Step-by-step explanation:
Q2. mean [ with 140 in place is] = 436/ 6 = 72 and 2/3rds.
mean [without 140 in place = 296/5 = 59.2
that means the mean would definitely decrease.
will get back to you in a moment.
Answer:
36 minutes when both pipes are working together
Step-by-step explanation:
capacity of tank = 5400 liters
Pipe A flow per mint. = 5400/90 = 60 liters per mint.
Pipe B flow per mint. = 5400/60 = 90 liters per mint.
Flow of A + B per mint. 60 + 90 = 150 liter per mint.
Therefore, 5400 / 150 = 36 minutes to fill the tank
