<span>Answer: -4.88691778Solution:1.Write down the number of degrees you want to convert to radians Given Degree = -280° The formula to convert degrees to radian measure is:Radian = degree x π/180 2. Multiply the number of degrees by π/180. Think of it like multiplying two fractions: the first fraction has the number of degrees in the numerator and "1" in the denominator, and the second fraction has π in the numerator and 180 in the denominator. -280 x π/180 = -280π/1803. Find the largest number that can evenly divide into the numerator and denominator of each fraction and use it to simplify each fraction. The largest number for 280 is 20.-280 x π/180 = -280π/180 ÷ 20/20 = -14π /9 4. Then multiply the numerator by 3.14159 because pi or π is equivalent to 3.14159, -14x 3.14159= -43.982265. To get the radian measure, we will divide -43.98226 by 9. -43.98226/9= -4.88691778
</span>
The averages for each category can be calculated by taking the sum of the values and dividing by the number of values .
Jan Feb March
1)
wages <span>$2,100.00 $2,300.00 $2,000.00
sum of the values = 2100 + 2300 + 2000 = 6400
number of values = 3
average = 6400/3 = $ 2133.33
</span><span>2)
donations $210.00 $230.00 $200.00
</span><span>average = (210 + 230 + 200)/3
= $ 213.33
3)
mortgage $590.50 $590.50 $590.50
</span><span>average = ( 590.50 + 590.50 + 590.50)/3
= $ 590.50
4)
electricity $101.25 $89.75 $80.00
</span><span>average = (101.25 + 89.75 + 80.00)/3
= 271/3
= $ 90.33
5)
water $20.10 $22.30 $24.55
</span><span>average = (20.10 + 22.30 + 24.55)/3
= 66.95/3
= $ 22.32
6)
car loan $172.54 $172.54 $172.54
</span><span>average = (172.54 + 172.54 + 172.54)/3
= $ 172.54
7)
food $200.25 $220.70 $205.50
</span><span>average = (200.25 + 220.70 + 205.50)/3
= $ 208.82
8)
insurance $310.50 $0.00 $0.00
</span><span>average = ( 310.50 + 0.00 + 0.00)/3
= $ 103.50
9)
clothes $0.00 $0.00 $75.00
average = (0.00 + 0.00 + 75.00)/3
= $ 25.00
</span><span>10)
car license fee $0.00 $120.90 $0.00
average = (0.00 + 120.90 + 0.00)/3
= $ 40.30
</span><span>11)
newspaper $0.00 $0.00 $45.00
average = (0.00 + 0.00 + 45.00)/3
= $ 15.00
</span><span>12)</span><span>movies $18.00 $0.00 $36.00
average = (18 + 0.00 + 36.0)/3
= $ 18.00
</span><span>13)
new car $100.00 $100.00 $100.00
average = (100 + 100 + 100)/3
= $ 100.00
</span><span>14)
gasoline $80.00 $70.00 $75.00
average = (80.00 + 70.00 + 75.00)
= $ 75.00
</span><span>15)
car repairs $0.00 $119.00 $0.00
average = (0.00 + 119.0 + 0)/3
= $ 39.67
</span><span>16)
miscellaneous $64.50 $59.25 $72.50
average = (64.50 + 59.25 + 72.50)/3
= 196.25/3
= $ 65.42
</span><span>17)
savings $140.00 $140.00 $140.00
</span>average = ( 140 + 140 + 140)/3
= $ 140.00
3b + 0.5a
the variables b and a are unknown values that represent the number of bananas and apples to be bought. These are next to each of its prices for it to be multiplied once we know the variable.
The costs of the fruits are to be added and you will end up with the total cost of fruits.
The surface area of any solid is the summation of all the areas of its faces. For a square prism, the surface area is therefore calculated through the equation,
A = 6e²
where A is area and e is the measure of the side.
From the given above, it is stated that the edge of the prism measures 6. Substituting this value to the equation above,
A = (6)(6²)
A = 216
Therefore, the surface area of the given prism is equal to 216 square units.
