(-11/6) + m = -2/9
Add 11/6 to both sides
m= -2/9 + 11/6
Have both fraction have the same common denominator
m= -4/18 + 33/18
Add the numerators by keeping the denominator the same
Final Answer: 29/18
A=#nickels, b=#quarters
5a + 25b = 410 total value
5(a + 5b) = 410
a + 5b = 82
a + b = 30 total no. of coins
subtracting . . . 4b = 52
thus b = 13 and a = 17
13 quarters and 17 nickels = 13*25 + 17*5 = 410 = $4.10
Answer:
Heptagon = 84 ft²
Octagon = 186 yd²
Triangle = 48√3 m²
Step-by-step explanation:

where:
= length of apothem
= perimeter
<u>Heptagon</u>
a = 5.0 ft
p = 33.6 ft
⇒ area = 1/2 x 5.0 x 33.6 = 84 ft²
<u>Octagon</u>
a = 7.5 yd
p = 8 x 6.2 = 49.6 yd
⇒ area = 1/2 x 7.5 x 49.6 = 186 yd²
<u>Triangle</u>
Formula for the apothem of an equilateral triangle :
where
= side length
a = 4, so:


Now we know the side length, we can calculate the perimeter (p):
p = 3 x 8√3 = 24√3
⇒ area = 1/2 x 4 x 24√3 = 48√3 m²
1 1/6 hrs.....1 hr = 60 minutes......1/6 hr = 1/6(60) = 60/6 = 10 minutes....therefore, 1 1/6 hrs = 70 minutes
(7/8) / 70 = x / 1....7/8 of the wall to 70 minutes = x wall in 1 minute
cross multiply
(70)(x) = (7/8)(1)
70x = 7/8
x = (7/8) / 70
x = 7/8 * 1/70
x = 7 / 560 reduces to 1/80 <== she paints 1/80 of the wall in 1 minute
Answer:
18.8496 units (rounded o1ff to four decimal places)
Step-by-step explanation:
Arc length = 2 × π × r × 
r (radius) = 12 units ÷ 2 = 6 units
Central angle = 180°
For our semicircle, the arc length = 2 × π × 6 ×
= 18.8495559215 units
Or 18.8496 units (rounded o1ff to four decimal places)