7) - 1
tan <BAD = BD / AD
BC = √(64 + 36)
BC = √100
BC = 10
now you can solve BD
BD/6 = 6/10
BD = 6*6 / 10
BD = 36/10
BD = 3.6
AD = √36 - 12.96
AD = √23.04
AD = 4.8
tan <BAD = BD / AD
tan <BAD = 3.6 / 4.8
tan <BAD = 0.75
7) - 2
cos <DAC + cos <DAB
as you know cos = Adj / Hypo
cos <DAC = AD/AC
cos <DAC = 4.8 / 8
cos <DAC = 0.6
cos <DAB = AD / AB
cos <DAB = 4.8/6
cos <DAB = 0.8
so
cos <DAC + cos <DAB = 0.6 + 0.8
cos <DAC + cos <DAB = 1.4
hope it helps
Answer:
<em>21(a) 8 cm</em>
<em>21(b) 1.6 cm/sec</em>
Step-by-step explanation:
21(a)
21 cm = 13 cm = 8 cm
21(b)
Increase in depth from 6 sec to 11 sec: 8 cm
Time from 6 sec to 11 sec: 11 sec - 6 sec = 5 sec
Rate = (8 cm)/(5 sec) = 1.6 cm/sec
Total = Principal * e ^ (rate * years)
where "e" is the mathematical constant = 2.718281828459 ...
Total = $820.00 * 2.718281828459 ^ (.05 * 3)
Total = $820.00 *
<span>
<span>
<span>
1.1618342427
</span>
</span>
</span>
Total =
<span>
<span>
<span>
952.70</span></span></span>
Source:
http://www.1728.org/rate2.htm
Answer:
The total cost of the meal including tip is $55.80.
Step-by-step explanation:
Cost of the meal = $46.50
tip = 20%
total cost = ?
Finding the tip cost:
20% of cost of the meal is equal to the tip cost.
20% of 46.50
(% = 1/100 and of means multiplication)
20/100 * 46.50
930/100
$9.30
20% tip = $9.30
Finding total cost:
Cost of the meal + tip
46.50 + 9.30
55.80
The total cost of the meal including tip is $55.80.
<span>1 . (–2, –3) and (–4, 4)
d = </span>√(-4 - -2)^2 + ( 4 - -3)^2
d = √85<span>
2.Find the distance EA for the points E(–8, –2) and A(4, 1).
</span>d = √(4 - -8)^2 + ( 1 - -2)^2
d = 3√17<span>
3.Find the distance EA for the points E(2, 3) and A(4, 2).
</span>d = √(4 - 2)^2 + ( 2 - 3)^2
d = √5<span>
4. Find the distance between (0, 0) and (5, 8).
</span>d = √(5 - 0)^2 + ( 8 -0)^2
d = √89
