Answer:
15 ft
Step-by-step explanation:
Hi, the illustration for the problem is a right triangle with:
hypotenuse (C)= the length of the ladder = L
horizontal side(A) = distance from bottom of the ladder to the building = L - 6
vertical side(B) = distance from the top of the ladder to the bottom of the building = L - 3
So, we can use Pythagoras formula:
A2 +B2= C2
(L – 6 )² + (L-3)² = L²
L²-12L+36+L²-6L+9 =L²
L2 -18L+45 =0
APPLYING QUADRATIC FORMULA WE OBTAIN:
L =15 OR L=3
If L=3
Vertical side = L-3 = 0 (Length can´t be 0)
So L=15
Answer: There are 76 animals seen by the veterinarian this week.
Step-by-step explanation:
Since we have given that
Number of dogs = 47
Number of cats = 19
Number of exotic birds = 7
Number of horses = 3
Total number of animals seen by the veterinarian this week is given by
Hence, there are 76 animals seen by the veterinarian this week.
Answer:
20 blue fish
Step-by-step explanation:
Number of blue fish = x
Number of red fish = x+10
Red fish = 60% of total = 0.6
Total fish = x+x+10 = 2x+10
0.6 = (x+10)/(2x+10)
Solve for x:
1.2x+6 = x+10
0.2x = 4
x = 20
Hope this helps!
Mark as brainliest :))
The answer is 3/4 BECAUSE it is ratio
Answer:
3 hours
Step-by-step explanation:
Distance between South Central High and Redding = 480km
Distance= Average Speed X Time
Let the speed of the express train=x
Let the time taken BG the train=t
For the train:
480=xt...(1)
Since the plane flies 40km/hr faster
Speed of the Plane=x+40
They can save one hour using the plane, so Time taken by the plane
=(t-1)hours
For the plane:
Distance= Average Speed X Time
480=(x+40)(t-1)....(2)
Equate equations 1 and 2 since the distances are equal.
xt=(x+40)(t-1)
xt=xt-x+40t-40
x=40t-40
Substitute x=40t-40 into equation (1)
480=xt
480=(40t-40)t
40t²-40t-480=0
Dividing all through by 40
t²-t-12=0
t²-4t+3t-12=0
t(t-4)+3(t-4)=0
(t-4)(t+3)=0
t-4=0 or t+3=0
t= 4hours (Since t cannot be negative)
Since it will take (t-1) hours to fly, it takes 3 hours to fly to Redding.
