The GCF for 45,36,60 is 3
The LCM for 45,36,60 is 180
hope this helps
Answer:
10 ways
Step-by-step explanation:
Find out the number of ways in which 6 flags can be arranged in a row if 3 red ,2 green, and 3 yellow ?
The above question can be calculated as:
= 6!/(3! × 2! × 3!)
= 720 /(6 × 2 × 6)
= 720/(72)
= 10 ways
The value of ∠BAC in the isosceles triangle is 9.7°
<h3>
Cosine rule</h3>
Cosine rule is used to show the relationship between the sides and angles of a triangle. It is given by:
a² = b² + c² - 2bc*cos(A)
where a, b, c are the sides of the triangle and A, B, C are the angles opposite the sides.
AB = AC = 1185 (isosceles), BC = 200, let ∠BAC = x°, hence:
200² = 1185² + 1185² - 2(1185)(1185)cos(x)
2(1185)(1185)cos(x) = 2808450
cos(x) = 0.9857
x = 9.7°
The value of ∠BAC in the isosceles triangle is 9.7°
Find out more on Cosine rule at: brainly.com/question/7872492
so to find the slope we do y2- y1/ x2-x1
plug in the coordinates: (-6,4) (0,3)
3-4/ 0--6
3-4/0+6
= -1/6
Then using the formula of slop intercept form: y=mx+b........ use one of the coordinates to plug in
4= -1/6x+b...... multiply -6/1 on both sides of equation ( you do this so -1/6 and -6/1 can cancel out)
-24=b........ Use b to plug in y=mx+b---------> y= -1/6x-24
It took both 2.5 hours to be 110 miles apart
Speed is the ratio of distance travelled to time taken. Speed is given by:
Speed = distance / time
Since both steamers is travelling at 22 mph. therefore they cover the same distance at the same time. For them to be 110 miles apart, they need to each have covered 55 miles in the opposite direction
22 = 55/time
time = 2.5 hours
Therefore after 2.5 hours they would have covered 55 miles each therefore being 110 miles apart.
Find out more at: brainly.com/question/22610586
