Answer:
The toy's maximum height is 
.
Step-by-step explanation:
The equation that models the toy's height in feet from the ground at t seconds after he threw it is given by :
.....(1)
It is required to find the toy's maximum height. For maxima or minima, put
Plugging the value of t in above equation,
Now put t = 1.75 s in equation (1) such that,
So, the toy's maximum height is .
Answer:
Step-by-step explanation:
y+30+2y=180
Add like terms
3y+30=180
Subtract 30 on both sides
3y=150
Divide by 3 on both sides
y=50
Now all you have to do i calculate the angles.
Answer:
113 
Step-by-step explanation:
top rectangle = l x w = 6 x 13 = 78
lower rectangle width = 13-8=5. so a = l x w. 7 5 = 35
78+35= 113
Answer:
The actual speed of the car is either 57 mph or 63 mph
Step-by-step explanation:
Given as :
The measured speed o the car = 60 mph
The percentage error in speedometer = 5 %
Let The actual speed of car = x mph
Now, percentage error = 
× 100
So, 
= 
or, × 60 = x - 60
Or, 3 = x - 60
∴ x = 63 mph
Hence The actual speed of the car is either 57 mph or 63 mph . Answer
Answer:
The probability that you would choose lemon-lime and then orange is 3/11 =.273.
Step-by-step explanation:
These are 'dependent events', which mean that your the event is affected by previous events. So, because you have eleven total bottles (five lemon-lime and six orange) and you do not replace the first bottle, that would only leave you with ten bottles remaining. The probability that you will pick the lemon-lime on the first choice is 5/11 because all of the bottles are there. However, your second choice will only include ten total bottles since you already took one. The probability that you would choose orange would be 6/10. When you multiply these two fractions and reduce to simplest form, you get 3/11.
