To determine when Mya will have both lessons again on the same day, you will list the multiples of each number of days because to show every 4 or 6 days, you will count by 4's and 6's.
When you get to the first number that is the same, that will be the next time she will have both lessons again. This is called the least common multiple (LCM).
4, 8, 12, 16, 20, ...
6, 12, 18, 24
In 12 days she will have both lessons again.
Answer:
74.5°
Step-by-step explanation:
Hannah, the kite and Patricia form the vertices of a right-angled triangle with the hypotenuse side the length of the string L = 60 feet and adjacent side the distance between Hannah and Patricia = d = 16 feet.
Let the angle between the string and the sand be Ф.
By trigonometric ratios,
cosФ = adjacent/hypotenuse
= d/L
= 16 feet/60 feet
= 0.2667
Ф = cos⁻¹(0.2667)
= 74.53°
≅ 74.5°
So, he angle between the string and the sand is Ф = 74.5°
Answer:
all work is shown and pictured
Answer: (x+4)(x^2+16)
Step-by-step explanation:
x^3+4x^2+16x+64
x^3+4x^2+16x+64
=(x+4)(x^2+16)
have a nice day!!