Answer:
k=11
Step-by-step explanation:
3(k - 6) = 15
Divide each side by 3
3/3(k - 6) = 15/3
k - 6 = 5
Add 6 to each side
k-6+6 = 5+6
k = 11
Answer:
83.35 feet above ground.
Step-by-step explanation:
Please find the attachment.
We have been given that Hudson (3 feet tall) is on the beach flying a kite. His angle of elevation looking up to the kite is 40 degrees. The kite string is 125 ft long.
We can see that the string of kite forms a right triangle with an angle of elevation (40 degrees) as shown in the attachment.
To solve for h, we will use sine as sine related opposite side of a right triangle with hypotenuse.





To find the height of kite off the ground, we will add height of Hudson to 80.35 feet as well as he is flying the kite.

Therefore, the kite is approximately 83.35 feet above ground.
Answer:
she should beat a speed of v₂ = 6.04 m/s in order to win the competition
Step-by-step explanation:
Since the momentum p is defined as
p = m*v
where
m= mass of the ball
v= velocity of the ball
denoting 1 and 2 as the first and second bowler , then to reach the momentum of the first bowler
p₂=p₁
therefore
m₁*v₁ = m₂*v₂
v₂ = v₁ * (m₁/m₂)
replacing values
v₂ = v₁ * (m₁/m₂) =8.6 m/s * (4.5 kg/6.4 kg ball) = 6.04 m/s
then since the momentum p = m*v increases with increasing v (at constant m) , she should beat a speed of v₂ = 6.04 m/s in order to win the competition
1. If tomorrow is Monday then, today is Sunday.
2. If today is not Sunday then tomorrow is not Monday.
3. If tomorrow is not Monday then today is not Sunday