The length of side b is 7.61 m.
Here's how the length was calculated:
Let:
length of side a = 12 centimeters
B = 36 degrees
C = 75 degrees
In order to solve an AAS triangle, use the three angles, add to 180 degrees to find the other angle, then, use The Law of Sines to find each of the other two sides.
A = 180 - (36 + 75) = 69 degrees
by using the law of sines:
a / sin A = b / sin B = c/ sin C
we will substitute the given values:
12 / sin (69) = b / sin (36)
b = unknown
12 / 0.93 = b / 0.59
12.9 = b / 0.59
b = 12.9 * 0.59
b =7.61 cm (length of side b)
Answer:
1) $16.35
2) 75%
3) $245
Step-by-step explanation:
1) Jada earns = $15 per hour
9% increase = 15 * 9/100 = $1.35
Increased Jada's pay = 15+1.35 = $16.35
2) Markup = selling price - cost= $350 - 200= $150
Markup % = \
= = 75%
3) Jada's sister commission is 3.5% of $7000
=
= $245
Answer:
see below
Step-by-step explanation:
The parent function is x^2 which is a parabola at vertex (0,0)
g(x) = ( x+3) ^2
y = f(x + C) C > 0 moves it left
So the parabola is shifted to the left 3 units
h(x) = -( x+3) ^2
y = −f(x)
Reflects it about x-axis
Means flip it about the x axis
9 packets.
36 divided by 3 = 12
49 divided by 5 = 9.8
76 divided by 7 = 10.8
Maximum packets that can be obtained is 9 packets because only 9 packets with 5 green beads each can be packaged.
Vertical angles are equal
4x = 45 + 15
4x = 60
x = 60/4
x = 15