Answer:
x = 6, ∠B = 50°
Step-by-step explanation:
a) 8x + 2 + 70 + 60 = 180
8x + 132 = 180
8x = 180 - 132 = 48
x = 48/8 = 6
b) ∠B = 180 - 70 - 60 = 50°
or 8x + 2 = 8*6 + 2 = 50°
3x + 1 = 1/3x + 9 Multiply through by 3
<span>9x + 3 = x + 27 Subtract x </span>
<span>8x + 3 = 27 Subtract 3 </span>
<span>8x = 24 </span>
<span>x = 3 </span>
<span>AK = 3*3 + 1 = 10 </span>
<span>AB = 2*AK = 20</span>
56.52 ÷ pi(3.14) = 18
18 ÷ 2 =9
A = pi(3.14)r^2
A = 3.14 × 9^2
A = 3.14 × 81
A = 254.34in^2
Answer:
The total cost of the ink supplies can be represented in two different ways, as follows:
a. 3p (1+r)
b. p * (1+ r) * 3
Step-by-step explanation:
a) Data and Calculations:
Number of printer cartridges bought = 3
Sales tax rate = 7%
The total cost can be represented as:
Total cost = 3p (1+r)
where p = the price of a printer cartridge
and r = the sales tax rate
Alternatively, the total cost can be represented as:
Total cost = p * (1+ r) * 3
b) Whichever expression is used, the total cost derived will remain the same. The first expression includes the sales tax in the total cost, while the second expression includes the sales tax in the cost of the unit before arriving at the total cost.
To calculate this we should firstly calculate that how many laps can he do in an hour. So assuming that he does all the laps at the same rate he must do 120 laps in an hour.
Now because he burns 1200 calories per hour we can see how many number of hours it would take him to burn 15000 calories. So it would take him around 15000 / 1200 = 12.5 hours. So now we will multiply 12.5 by 120 laps as that is the number laps he can do in an hour. So that is around 1500 laps a day.
