Answer:
Step-by-step explanation:
<h3><u>Given data:</u></h3>
Theta = θ = 35°
Radius = r = 10 ft.
<h3><u>Required:</u></h3>
Arc length = ?
<h3><u>Formula:</u></h3>
<h3><u>Solution:</u></h3>
Put the givens in the above formula
![\displaystyle Arc \ length = 2 (3.14)(10)(\frac{35}{360} )\\\\Arc \ length = 2(3.14)(10)(0.097)\\\\Arc \ length = 6.11 \ ft.\\\\\rule[225]{225}{2}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20Arc%20%5C%20length%20%3D%202%20%283.14%29%2810%29%28%5Cfrac%7B35%7D%7B360%7D%20%29%5C%5C%5C%5CArc%20%5C%20length%20%3D%202%283.14%29%2810%29%280.097%29%5C%5C%5C%5CArc%20%5C%20length%20%3D%206.11%20%5C%20ft.%5C%5C%5C%5C%5Crule%5B225%5D%7B225%7D%7B2%7D)
Answer:
12
Step-by-step explanation:
2d+24+3d=84
2d+3d=60
5d=60
d=12
Answer:
z = -12
Step-by-step explanation:
Rewritting the equations, we have:
x + y = xy (eq1)
2x + 2z = xz (eq2)
3y + 3z = yz (eq3)
From the first equation:
x = y/(y-1) (eq4)
From the third equation:
y = 3z/(z - 3) (eq5)
Using the value of y from (eq5) in (eq4), we have:
x = [3z/(z - 3)] / [3z/(z - 3) - 1]
x = [3z/(z - 3)] / [(3z - z + 3)/(z - 3)]
x = 3z / (2z + 3) (eq6)
Using the value of x from (eq6) in (eq2), we have:
6z / (2z + 3) + 2z = (3z / (2z + 3))*z
(6z + 4z^2 + 6z) / (2z + 3) = 3z^2 / (2z + 3)
12z + 4z^2 = 3z^2
z^2 = -12z
z = -12
This one is my real answer 5{10+3]=40 The other one you can use for extra this one 5{10+25]=35
Answer:
a. 42%
b. 16%
Step-by-step explanation:
a. According to the curve, the bottom 80% of families has about 58% of the income, so the top 20% has about 42%.
b. The bottom 60% of families have about 32% of the income, and the bottom 40% of families have about 16% of the income. So the third quintile has about 32% − 16% = 16%.
