9514 1404 393
Answer:
55,637.8 square inches
Step-by-step explanation:
We can find side n using the Law of Sines:
n/sin(N) = p/sin(P)
n = p(sin(N)/sin(P)) = 600·sin(64°)/sin(96°)
n ≈ 542.246913 . . . . inches
The angle O is ...
O = 180° -N -P = 180° -64° -96° = 20°
Then the area is ...
A = 1/2·np·sin(O)
A = (1/2)(542.246913 in)(600 in)·sin(20°) ≈ 55,637.81008 in²
The area of ∆NOP is about 55,637.8 in².
Answer:
(since there is no percentage given i will provide two alternate answers one including percentage and one exclusive of percentage)
cost of TV inclusive of tax = $500
we first multiply the tax with total amount
$500 * 5.5
= $500 * 55/10
=$500 * 11/2
= $250 * 11
=$2750
original price of TV = $2750
alternate answer assuming there is a percentage sign with 5.5
the amount of tax on TV is 5.5%
we first multiply the percentage of tax with total amount
$500 * 5.5/100
=$27.5
original price of TV = $500 - $27.5
= $472.5
Step-by-step explanation:
(1) The train travels 4 miles per gallon.
(2) The slope of the graph is 
Explanation:
(1) The miles that train travels per gallon is given by
Dividing, we have,
Thus, the train travels 4 miles per gallon.
(2) To determine the slope, let us consider two points from the graph.
The coordinates are 
and 
Thus, substituting the coordinates in the slope formula, we get,
Simplifying, we have,
Thus, the slope of the graph is
Answer:
48x - 40y +24
Step-by-step explanation:
Answer:
Step-by-step explanation:
<u>Given equation</u>
- f(t) = 2^(kt)
- f - number of cells, t - number of months, k- coefficient
<u>We got 32 cells in the first month. It means:</u>
<u>Using these numbers we can find the coefficient k:</u>
- 32 = 2^(k*1)
- 2^5 = 2^k
- k = 5
<u>Then the equation becomes:</u>
<u>Average time is 9 months, we can calculate the number of cells:</u>
- f(9) = 2^(5*9) = 2^45 ≈ 3.5*10^13
