Answer:
He bought 7 lightbulbs.
Step-by-step explanation:
37.19 - 3.73 = 33.46
33.46/4.78=7
Answer:
A)82.02 mi
B) 18.7° SE
Step-by-step explanation:
From the image attached, we can see the angles and distance depicted as given in the question. Using parallel angles, we have been able to establish that the internal angle at egg island is 100°.
A) Thus, we can find the distance between the home port and forrest island using law of cosines which is that;
a² = b² + c² - 2bc Cos A
Thus, let the distance between the home port and forrest island be x.
So,
x² = 40² + 65² - 2(40 × 65)cos 100
x² = 1600 + 4225 - (2 × 2600 × -0.1736)
x² = 6727.72
x = √6727.72
x = 82.02 mi
B) To find the bearing from Forrest Island back to his home port, we will make use of law of sines which is that;
A/sinA = b/sinB = c/sinC
82.02/sin 100 = 40/sinθ
Cross multiply to get;
sinθ = (40 × sin 100)/82.02
sin θ = 0.4803
θ = sin^(-1) 0.4803
θ = 28.7°
From the diagram we can see that from parallel angles, 10° is part of the total angle θ.
Thus, the bearing from Forrest Island back to his home port is;
28.7 - 10 = 18.7° SE
The side opposite the angle 19 degrees is given by 15sin 19 = 4.9 units, while the side adjacent the angle 19 degrees is given by 15cos 19 = 14.2 units.
Answer:
P=8h
Step-by-step explanation:
P is the total amount of dollars that Keith will make, while h is the number of hours he will work for. If you multiply the number of hours he works for and how much he makes in an hour which is 8. You will get the total amount.
Answer:
4/9 is bigger
Step-by-step explanation:
For the 1st fraction, since 9 × 4 = 36,
4/9 = 4 × 4
9 × 4 = 16/36
Likewise, for the 2nd fraction, since 36 × 1 = 36,
7/36= 7 × 1
36 × 1 = 7/36
Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
16/36> 7/36 or 4/9 > 7/36