Answer:
b. not similar
Step-by-step explanation:
The given sides* have the ratio 30:39 = 10:13 in one triangle and the ratio 20:27 = 10:13.5 in the other triangle. Since these ratios are different, the triangles cannot be similar.
____
* These are the sides bracketing the vertical angles at T. If the triangles were similar, the three sides would have to have the ratios 10 : 13 : 13.5.
However, the geometry shown would require that the angle opposite side 13.5 in one triangle have the same measure as the angle opposite side 13 in the other triangle. That is not possible, so it is not possible for these triangles to be similar.
Answer:
43.8 km to the nearest tenth.
Step-by-step explanation:
5 miles is 8 km
so 1 mile = 8/5 km
and 27.4 miles = 27.4 * 8/5
= 43.84 km
Answer: 15 gallons .
Step-by-step explanation:
Step 1
4 quarts = 1 gallon
therefore 60 quarts = (60 quarts x 1 gallon) / 4 quarts
= 15 gallons .
Step 2-- The converted amount which is 15 has fewer units than the original which is 60.
Answer:
24/35 hours or 0.69 hours
Step-by-step explanation:
we know that
The speed is equal to divide the distance by the time
Let
x-----> distance traveled by John
(24-x) ----> distance traveled by Ramona
The time is equal to divide the distance by the speed
so
x/20=(24-x)/15
15x=20(24-x)
15x=480-20x
15x+20x=480
35x=480
x=480/35 miles
the time is equal to
t=x/20
t=480/(20*35)=24/35=0.69 hours
Answer:
Option B and D are correct
Step-by-step explanation:
Exponential functions are really useful in the real world situation. They can be used to solve following
a) Population Models
b) Determination of area and perimeters
c) Determine time related things such as half life, time of happening of an event etc.
d) Useful for solving financial problems such as computing investments etc.
Hence, option B and D