Answer: 77 and 103
Step-by-step explanation:
\frac{\sin A}{a}=\frac{\sin B}{b}
a
sinA
=
b
sinB
From the reference sheet (reciprocal version).
\frac{\sin G}{960}=\frac{\sin 69}{920}
960
sinG
=
920
sin69
Plug in values.
\sin G=\frac{960\sin 69}{920}\approx 0.9741709
sinG=
920
960sin69
≈0.9741709
Evaluate.
G=\sin^{-1}(0.9741709)\approx 76.95\approx 77^{\circ}
G=sin
−1
(0.9741709)≈76.95≈77
∘
Inverse sine and round.
\text{Quadrant II: } 180-77=103^{\circ}
Quadrant II: 180−77=103
∘
Sine is positive in quadrants 1 and 2.
\text{Check for possibility:}
Check for possibility:
No triangle's angles may add to more than 180.
69+77=146^{\circ}\leftarrow \text{Possible}
69+77=146
∘
←Possible
Less than 180.
69+103=172^{\circ}\leftarrow \text{Possible}
69+103=172
∘
←Possible
P = 2 W + 2 L
100 = 2 W + 2 L /:2
50 = W + L
A = W ( 50 - W ) = 50 W - W²
A` (W) = 50 - 2 W
50 - 2 W = 0
2 W = 50
W = 50 : 2
W = 25; L = 50 - 25 = 25
The greatest area such a rectangle can have:
A = 25 * 25 = 625 units²
Move the decimal to the right 3 places
4500 m/s = 4.5 m/s
The number is 225.
It square roots are +15 and -15 .
They are 30 apart on the number line.
Answer:
Step-by-step explanation:
The truck's fuel consumption is:
660 miles
---------------- = 7.33 miles per gallon.
90 gallons
Draw a set of coordinate axes, with # of gallons on the horiz. axis and distance traveled on the vertical axis. Place a black dot at (0,0). Starting at (0,0), draw in scale divisions that can accommodate 0-100 gallons. Mark scale divisions on the vertical axis such that the maximum distance traveled is 800 miles. Now draw a vertical line through 90 gallons and a horizontal line through 660 miles. Draw a black dot where these two lines intersect. Now draw a straight line through (0,0) and (90,660). These two points are your intercepts, horiz. first and vert. second.
The domain is the set of numbers on the horiz. axis for which you have a graph (meaning that your function is defined). Here your domain is
[0,90] gallons. No function is defined for less than 0 gallons or more than 90 gallons.
The origin represents no fuel yet consumed and no distance yet traveled.