Answer:
6.3feet
Step-by-step explanation:
Given data
Radius= 4feet
The expression for the circumference of a circle is
C= 2πr
Substitute
C=2*3.142*4
C=25.136 feet
Also, a 90° arc is 1/4 of the circumference of a circle
Hence the length of the 90° arc is
=25.136/4
=6.284 feet
=6.3feet
Step-by-step explanation:
1. Ratio(White to black) = 12 / [52 - 12]
Ratio(White to black) = 12 / [40]
Ratio(White to black) = 3 / 10 = 3:10
2. Ratio(Blue triangle to all) = 5 / [5+80]
Ratio(Blue triangle to all) = 5 / [85]
Ratio(Blue triangle to all) = 1 / 17 = 1:17
3. Ratio(Circle to all) = 76 / [22+76]
Ratio(Blue triangle to all) = 76 / [98]
Ratio(Blue triangle to all) = 38 / 49 = 38:49
4. Ratio(Yellow triangle to blue) = 18 / 14
Ratio(Yellow triangle to blue) = 9 / 7 = 9:7
5. Ratio(Yellow triangle to blue) = 42 / 6
Ratio(Yellow triangle to blue) = 7 / 1 = 7:1
6.Ratio(Boys to all) = 63 / [27 + 63]
Ratio(Boys to all) = 63 / 90
Ratio(Boys to all) = 7 / 9 = 7:9
Answer:
268°
Step-by-step explanation:
AB is diameter.
So, 
are semicircular arcs.
Answer:
c. Susan's debt-to-income ratio decreased by about 15%
Step-by-step explanation:
Susan's previous salary = $52,000
Susan's new salary = $68,000
Susan's mortgage = $1,500
The total of three minimum credit card payment = $350
Her lease payment = $280
Her student loan payment = $250
Her personal loan payment = $325
Therefore, her total debt = $1,500 + $350 + $280 + $250 + $325 = $2,705
Her new Debt to loan ratio = (Her total deb)/(Her total new income) = 2705/68000 = 3.9779 %
Her previous to loan ratio = (Her total deb)/(Her total previous income) = 2705/52000 = 5.2%
The percentage change in her debt to income ratio = (5.202 - 3.9779)/5.202 ≈ 23% decrease
Therefore, the best option is Susan's debt-to-income ratio decreased by about 15%.
Answer:
The correct answer for this question is that the unit rate is 5:1.
Step-by-step explanation:
We can work this out by simplifying down the 2 commercials to every 10 songs ration, so that 10:2 becomes 5:1. We can work this out by halving the original ratio to simplify it.
