check the picture below.
bearing in mind that there are 60 minutes in 1 degree, then 16°18' will be 16.3° and likewise 48°51' will be 48.85° if we convert those to degrees only.

ANSWER

EXPLANATION
We want to evaluate

Use indices to rewrite the expression as:

We know that

So we rewrite the expression to obtain;

This gives us;

This simplifies to


Answer:
7) circumference = 11.78 ft
8) arc NMP = 198° or 27.63 ft
Step-by-step explanation:
7) circumference = πd = (3.14) (3 3/4) = 11.78 ft
8) radius = 8 ft
diameter = 2 x 8 = 16 ft
arc NM + arc QP = 360° - 162° - 162° = 36°
arc NM = arc QP because they are arcs of vertical angles.
arc QP = 18°
arc NMQ = 180°
arc NMP = 180° + 18° = 198°
circumference = πd = (3.14)(16) = 50.24 ft
(198°/360°)(50.24) = 27.63 ft
Same question and answer as yours!
Answer:
a. Kito has been billed correctly
Step-by-step explanation:
We simply need to check Kito's work to see if his price is accurate.
First, we can add the prices together to find the price before the sales tax is applied: 39.99 + 24.99 + 26.99 = $91.97
We can use this formula to figure out the total cost, C, after the sales tax, t is added:
C = l + (l * (t / 100)), where l = the price before applying the sales tax
C = 91.97 + (91.97 * (6 / 100)) = 97.4882 = $97.49
We know that the total cost lies between the 50 and 100 and that Kito chose the express shipping. Thus we add: 97.49 + 8.20 = $105.69.
If we did not round before, we would still get the same answer when rounding: 97.4882 + 8.20 = 105.6882 = $105.69