I think you want the least common multipule (exg LCM of 2,3,4 is 12)
so we find the factors and include all of them so like this
15=3 times 5
12=2 times 2 times 3
8=2 times 2 times 2
so to include all of them we include 3 2's, 1 3 and 1 5 or 2 times 2 times 2 times 3 times 5 or 8 times 15 or 4 times 30 or 120
the LCM is 120
so 4/15=32/120
1/12=10/120
3/8=45/120
add 32/120+10/120+45/120=(32+10+45)/120=87/120
Answer:
12
Step-by-step explanation:
6 * 5 is 30 6*2 is 12
A circle can’t weigh any inches just gonna say that now. Assuming you meant “height” of 3.125 inches, then the circumference is C=2(pi)r, where r is 1/2 the height (radius is half of the diameter, this situation the diameter being 3.125 inches.
Circumference would be approximately 9.8174770424681 inches—
Or shortened to 2 decimals it’s approximately
9.82 inches
Or approximately
9.8 inches
Or approximately
10 inches
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
Answer:
W = 450 + 16.83V
Step-by-step explanation:
For 40 hours Carissa
earning = $450
earning for 1 hour of over time = $16.83
multiplying both side by V
earning for v hour of over time = $16.83*V = $16.83V
weekly wage(W) = earning for 40 hours + earning for V hour of over time
W = 450 + 16.83V
Thus equation will be as given below for weekly earning