Answer:
The total of the sales price and sales tax is $ 588.35 .
Step-by-step explanation:
As given
$543.51 be the subtotal .
8.25% is the sales tax .
8.25% is written in the decimal form.

= 0.0825
Sales tax price = 0.0825 × 543.51
= $ 44.84 (Approx)
Total of sales price with sales tax = Sale price + Sales tax price
Putting the values in the above
= $543.51 + $44.84
= $ 588.35
Therefore the total of the sales price and sales tax is $ 588.35 .
Answer: There are 69 adults and 72 children went to the concert.
Step-by-step explanation:
Let x be the number of adults, and y be the number of children.
x + y = 141
3.5x + 2.5y = 421.5
x + y =141
x = 141 - y
3.5(141 - y) + 2.5y = 421.5
493.5 - 3.5y + 2.5y = 421.5
493.5 - y = 421.5
-y = -72
y = 72
x + y = 141
x + 72 = 141
x = 69
y is
. This is because in a 30-60-90 triangle, the side facing the 30° is always half of the side facing the 90°
x is always √3 times y, so x=24. Therefore, the answer is the second answer choice.
Given:


To find:
The quadrant of the terminal side of
and find the value of
.
Solution:
We know that,
In Quadrant I, all trigonometric ratios are positive.
In Quadrant II: Only sin and cosec are positive.
In Quadrant III: Only tan and cot are positive.
In Quadrant IV: Only cos and sec are positive.
It is given that,


Here cos is positive and sine is negative. So,
must be lies in Quadrant IV.
We know that,



It is only negative because
lies in Quadrant IV. So,

After substituting
, we get





Therefore, the correct option is B.