Answer The Greatest Common Factor of 16, 40, 68 is 4. But the GCF of 16s^3t, 40s^5 and 68t^2 is 1, as there are no common terms for these given alphanumeric terms.
Step-by-step explanation:
Answer:
60 units^2
Step-by-step explanation:
In order to find the area of a triangle, you do baseXheight/2. However, we don't have the height. So, we use the pythagorean theorem to solve for the missing side.
8^2+x^2=17^2
64+x^2=289
x^2=225
x=15
So, now we can solve for the area.
15*8=120
And divide by 2 we get 60
Answer:
A. 6.75
Step-by-step explanation:
8x+18=4x+57
8x-4x=57-18
4x=39
4x+57=180-(8y+30)
39+57=180-8y-30
96=150-8y
8y=150-96
= 54
y= 54/8 = 6.75
Answer:
They are 261.96 meters apart.
Step-by-step explanation:
From the question, considering a North, East, South and west pole, Gustavo ran 23° above the east horizontal, while Aiden ran 33° below the east horizontal.
Thus, the total angle between them is 23 + 33 = 56°.
Therefore, let the distance between them be c and we can calculate that using the cosine law. Thus,
c² = a² + b² – 2ab cos θ
Where a and b are distances travelled respectively by Gustavo and Aiden. While θ is the angle between them.
Thus,
c² = 300² + 250²– 2(300) (250)cos 56
c² = 90000 + 62500 - 83878.9355
c² = 68621.0645
c = √68621.0645
c = 261.96 m
They are 261.96 meters apart.
