<u>Answer</u>
48
<u>Explanation</u>
The product of the secant and the extension of the chord is normally equivalent to square of the tangent.
From the diagram given,
The length of the secant = 2+6
= 8
Length of the extension of the chord = 6
length of the tangent = x
∴ x² = 8 × 6
= 48
You can divide 110 by 1 to see how many 1's go in 110:
110/1 = 110
This means that there are 110 1's in 110.
Hope this helps! :)
The first one
this is random stuff to fill up the 20 character minimum
Answer:
No, the maximum height that the balloon can reach is 9ft.
Step-by-step explanation:
Hi, to answer this question we have to analyze the information given:
The function h(x) =-0.5(x-4)² +9, is a Quadratic Function in the Vertex form.
Vertex form: f (x) = a(x - h) 2 + k
Where:
- (h, k) is the vertex of the parabola-
- h is the horizontal shift (how far left, or right, the graph has shifted from x = 0).
- k represents the vertical shift (how far up, or down, the graph has shifted from y = 0).
In this case a = -0.5, it means that the parabola opens downward and has a maximum point at the vertex.
So, the maximum height that the balloon can reach is k=9ft.
9 ∠ 12
The balloon will not hit the ceiling 12 ft above the pool.
Feel free to ask for more if needed or if you did not understand something.
We have been given that an account is opened with a balance of $3,000 and relative growth rate for a certain type of mutual fund is 15% per year.
In order to tackle this problem we have to find the value of mutual fund after 5 years. For our purpose we will use compound interest formula.
,where A= amount after t years, P= principal amount, r= interest rate (decimal) and t= number of years.
After substituting our given values in above formula we will get
Now we will solve for A
Therefore, after 5 years mutual fund is worth $6034.07.
