In ΔABC,
tanA = a/b
∴ a = b×tanA = 12×1/√3 = 6.928 ~ 6.93 m
Answer:
A = 219
C = 362
Step-by-step explanation:
Given,
581 = C + A
and
$1090.50 = 1.5C + 2.5A
solve 1st for A
A =581 - C
substute into 2nd
1090.50 = 1.5C + 2.5(581 - C)
solve for C
1090.50 = 1.5C + 1452.50 - 2.5C
1090.50 = -C + 1452.50
1090.50 - 1452.50 = -C
-362 = -C
C = 362
then
581 = C + A
581 = 362 + A
219 = A
A = 219
24.60 - 8.25 + 11.50 = 30
16.35 + 11.50 = 30
27.85 <span>≠ </span>30
Alicia does not have $30, she needs to earn 2.15 more dollars
In this problem we need to find the value of a and b. So given that t<span>he function should be in the form f(n) = an + b and we know each value of n, then out goal is to find a and b.
For getting this purpose, we need to find a system of two equations (given that we have two unknown variables)
Therefore:
(1) f(0) = a(1) + b = 18
</span>∴ a + b = 18
<span>
(2) f(1) = a(2) + b = 24
</span>∴ 2a + b = 24<span>
Solving for a and b we have:
a = 6
b = 12
Finally:
f(n) = 6n + 12</span>
