The area of the park without fountain is about 819.76 square yards.
Answer:p = 28.36
q = 31.78
Step-by-step explanation:
Considering the smaller right angle triangle, with 50° as the reference angle, the opposite side is q and the adjacent side is 55 - p
Applying the tangent trigonometric ratio which is expressed as
Tan θ = opposite side/adjacent side
Tan 50 = q/(55 - p)
1.1918(55 - p) = q - - - - - - - - - 1
Considering the bigger right angle triangle, with 30° as the reference angle, the opposite side is q and the adjacent side is 55
Applying the tangent trigonometric ratio which is expressed as
Tan θ = opposite side/adjacent side
Tan 30 = q/55
0.5774 = q/55
q = 55 × 0.5774
q = 31.757
Substituting q = 31.757 into equation 1, it becomes
1.1918(55 - p) = 31.757
65.549 - 1.1918p = 31.757
1.1918p = 65.549 - 31.757
1.1918p = 33.792
p = 33.792/1.1918
p = 28.36
Answer:
17/25
Step-by-step explanation:
In this case we are asked for the probability that a random point is chosen in the lower grid in the shaded area, we must count the total number and amount of shaded squares.
In total there are 25 squares and 17 shaded ones.
This means that the answer is 17/25, the answer is not within the options, but if it is 8/25, which would be the probability of choosing a random point in a non-shaded or white area
Let's say that y is the weight of the mother and x is the weight of the baby.
We know that the baby is 7437 pounds less than the mother, which means you need to add 7437 pounds to the baby's weight to get the mother's.
We can show it like this:
x+7437=y.
We know what the baby's weight is (1400 lbs), so just sub it in:
1400+7437=y
y=8837 lbs
The mom weighs 8837 pounds.
If you assume the sequence is geometric, then the common ratio will be
Then the boxes left-to-right are
.. 8p, -(5 1/3)p, ..., -(2 10/27)p
I don't know how you've been taught to describe the pattern, but it amounts to
.. A → (-2/3)×A