54/x = 6...multiply both sides by x
54 = 6x...divide both sides by 6
54/6 = x
9 = x
S(p)=D(p)
400-4p+0.00002p4=2,800-0.0012p3
Solve for p
P=96.24
Answer:

Step-by-step explanation:
we know that
Triangles MNP and MAB are similar by AAA theorem
If two figures are similar, then the ratio of its corresponding sides is equal
so

substitute the values



Solution-
89.50/2 = 44.75
44.75 is the amount he spent to buy his nephew the pair of shoes.
Now, we are going to add the amount he spent for himself and his nephew together.
89.50 + 44.75= 134.25
134.25 is the amount he spent in total, now we need to find the final amount with sales tax included.
We can do this by multiplying the total price by .075
134.25 * .075 = 10.07 (I rounded this to the nearest hundredths because we are dealing with money)
Now we need to add the two number together.
134.25 + 10.07 = 144.32
Answer-
The total amount Kyle spent is $144.32
Answer:
1011.05
Step-by-step explanation:
Let's use 3 as an example.
The angle of depression is the one directly under the ballon.
You also know that the 53 degree angle is part of a 90 degree angle.
so the angle inside the triangle directly under the balloon is 37 degrees.
You know the angle and you know the side from the balloon to the ground is 1680. This is the hypotenuse of the triangle.
So which trig function could you use to determine how high the balloon is from the ground?
SOH CAH TOA
cos 37 = a/1680
a = 1341.71