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telo118 [61]
3 years ago
15

16. Beginning at 8:30 A.M., tours of the National Capitol and the White House begin at a tour agency. Tours for the National Cap

itol leave every 15 minutes. Tours for the White House leave every 20 minutes. How often do the tours leave at the same time?  Every 15 minutes  Every 30 minutes  Every 45 minutes  Every 60 minutes
Mathematics
1 answer:
vazorg [7]3 years ago
7 0
It would be every 60 minutes I believe!
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A ball is thrown into the air with an upward velocity of 80ft/s. Its height H in feet after T seconds id given by the function H
pashok25 [27]
1. The function H= -16T^2+80T+5 is a parabola of the form a x^{2} +bx+c, so to find the maximum height of the ball, we are going to find the y-coordinate of the vertex of the parabola. To find the y-coordinate of the vertex we are going to evaluate the function at the point \frac{-b}{2a}.
From our function we can infer that b=80 and a=-16, so the point \frac{-b}{2a} [/tex] will be \frac{-80}{-2(16)} = \frac{5}{2}. Lets evaluate the function at that point:
h=-16t^2+80t+5
h=-16( \frac{5}{2} )^2+80( \frac{5}{2} )+5
h=105

We can conclude that the ball reaches a maximum height of 105 feet.

2. Since we now know that the maximum height the ball reaches is 105 feet, we are going to replace h with 105 in our function, then we are going to solve for t to find how long the ball takes to reach its maximum height:
h=-16t^2+80t+5
105=-16t^{2}+80t+5
-16t^2+80t-100=0
-4(4t^{2}+20t-25)=0
4(2t-5)^2=0
2t-5=0
t= \frac{5}{2}
t=2.5

We can conclude that the ball reaches its maximum height in 2.5 seconds.

3. Just like before, we are going to replace h with 5 in our original function, then we are going to solve for t to find how long will take for the ball to be caught 5 feet off the ground:
h=-16t^2+80t+5
5=-16t^2+80t+5
-16t^{2}+80t=0
-16t(t-5)=0
t-5=0
t=5

We can conclude that it takes 5 seconds for the ball to be caught 5 feet off the ground.
5 0
3 years ago
John is 12 years older than Myles. 5 Years ago John was 2 times as old as Myles. How old are john and Myles now
Lera25 [3.4K]

Answer:

john is 23 and myles is 11

Step-by-step explanation:

just a guess

3 0
2 years ago
Find the total area of the figure below.
Maksim231197 [3]

176 square yards

Step-by-step explanation:

The picture of the question in the attached figure N 1

we know that

The area of the walkway around the rectangular pool, is equal to the area of two trapezoids (#1 and #2), plus the area of two smaller rectangles (#3 and #4)

see the attached figure N 2 to better understand the problem

step 1

Find the area of the two trapezoids (#1 and #2)

simplify

we have

substitute

step 2

Find the area of the two smaller rectangles (#3 and #4)

we have

substitute

step 3

Find the area of the walkway around the rectangular pool

3 0
3 years ago
sprinter can run 10 yards in 5⁄3 seconds. How long will it take the same sprinter at the same speed to run 30 yards?
Novosadov [1.4K]

Answer:

5 seconds

Step-by-step explanation:

All you have to do is make a ratio.

10 yards = 5/3 seconds

10 * 3 = 30 yards

5/3 * 3 = 15/3 = 5 seconds

3 0
3 years ago
Sam loves to read. The longest time it ever took her to finish a book was 23 hours. The shortest time was 1 hour and 5 minutes.
ehidna [41]
C 22 hours and 55 minutes
8 0
3 years ago
Read 2 more answers
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