Step-by-step explanation:
AC²=AB²+BC²
=(7)²+(13)²
=49+169= 218
AC=√218
= 14.7ft
therefore the original height of the tree
=7+14.7
=21.7ft
Answer:
Adult plate = 21 , child plate = 11
Step-by-step explanation:
number of adult plate = a , no of child plate = c
$487 = $19a + $8c (equation 1)
32 = a + c (equation 2)
Multiply equation 2 by 8 gets you:
256 = 8a + 8c (equation 3)
Solve equation 1 and equation 3 simultaneously:
487 = 19a + 8c (equation 1) minus
256 = 8a + 8c (equation 3) :
231 = 11a
a = 231/11
a= 21
Substitute a = 21 into equation 2 :
32 = 21 + c
c = 32 - 21
c = 11
So 21 adult plates and 11 child plates were sold.
Answer:
Speed of boat in still water = 64 km/hr
Speed of the current = 11 km/hr
Step-by-step explanation:
Let the speed of motorboat in still water = x km/hr
Let the speed of current = y km/hr
Motorboat travels 371 km in 7 hours going upstream.
Speed of motorboat while going upstream = speed of motorboat in still water - speed of current = (x-y)
=> ![\[x-y = \frac{371}{7}\]](https://tex.z-dn.net/?f=%5C%5Bx-y%20%3D%20%5Cfrac%7B371%7D%7B7%7D%5C%5D)
=>
------------------------------(1)
Motorboat travels 525 km in 7 hours going downstream.
Speed of motorboat while going downstream = speed of motorboat in still water + speed of current = (x+y)
=> ![\[x+y = \frac{525}{7}\]](https://tex.z-dn.net/?f=%5C%5Bx%2By%20%3D%20%5Cfrac%7B525%7D%7B7%7D%5C%5D)
=>
-----------------------------(2)
Solving for x and y from (1) and (2):
Adding (1) and (2):
2x = 128
=> x = 64
Substituting the value of x in (1), y = 11
A + E + N = 122
E = 2N
A = 7 + E....A = 7 + 2N
(7 + 2N) + 2N + N = 122
5N + 7 = 122
5N = 122 - 7
5N = 115
N = 115/5
N = 23 <== North America
E = 2N
E = 2(23)
E = 46 <== Europe
A = 7 + E
A = 7 + 46
A = 53 <=== Africa
The correct answer is a 14+30= 44. And 44 is positive