Answer:
11
Step-by-step explanation:
If two chords intersect in a circle, the product of the lengths of the segments of one chord equal the product of the segments of the other.
AC *CB = CD CE
4 * (10-4) = CD * 8
4 * 6 = 8 *CD
24 = 8 CD
Divide each side by 8
24/8 = CD
3 = CD
We want the length DE
DE = CD + CE
= 3 + 8
DE = 11
This is an incomplete question, here is a complete question.
What is a peregrine falcon's maximum speed while diving to catch prey 200 miles per hour in feet per second? (Round your answer to the nearest whole number. (1 mile = 5280 feet)
Answer : The speed in feet per second is, 293 feet/s
Step-by-step explanation :
As we are given that the speed of peregrine falcon's is 200 miles per hour. Now we have to determine the speed in feet per second.
As we know that:
1 mile = 5280 feet
1 hour = 3600 second
So,
1 mile/hr = 1.4667 feet/s
As, 1 mile/hr = 1.4667 feet/s
So, 200 mile/hr = 
= 293.34 feet/s ≈ 293 feet/s
Therefore, the speed in feet per second is, 293 feet/s
There are four rectangles and 2 squares.
Let’s start with the four rectangles.
4 [ 2x(x)]
4 [ (2*7)(7)] = 392 cm^2
______________
Next, let’s find the SA for the two squares.
2 [(2x)^2]
** I need to be clear that both the 2 and the x in the parentheses are squared because the square, of course, is a “perfect square”. This was probably obvious and needless to say, haha oh well.
Next step: plug in values
2 [ [2(7)]^2 ] = 392 cm^2
TOTAL: 392+392 = 784 cm^2
Wow I should have realized the the 4 rectangles are the area as the two squares.
Good luck to you!
If you have any other math questions, I can try my best to answer them. Just send me a comment or whatever works.
Answer:
43.407 years
Step-by-step explanation:
Zoe invest $600 in college savings account. The account earns 5.7% interest compounded quarterly. How many years will it take for Zoe's account to reach $7,000?
We are asked to find time t in a compound interest formula
The formula is given as:
t = log(A/P) / n[log(1 + r/n)]
A = Total amount = $7000
P = Principal = $600
n = number of times interest is compounded = Quarterly =4
r = Interest rate = 5.7% = 0.057
Hence,
t = log(7000/600) /4[log (1 + 0.057/4)]
t = 43.407 years
