Answer:
45 miles.
Step-by-step explanation:
Given that the:
Total distance covered = 390 miles
Total time = 8 hours
Let the distance covered along the local way = L
And the distance covered along the highway = H
Along with local way,
Speed = distance/ time
20 = L / T
T = L /20 .... (1)
Along the highway,
Distance covered H = 390 - L
Let the time = t
Speed = distance/time
60 = (390 - L)/t
t = ( 390 - L)/60
But total time = T + t
That is
8 = L/20 + (390 - L)/60
The LCM at right hand side will be 60
8 = ( 3L + 390 - L )/60
Cross multiply
480 = 2L + 390
Collect the like terms
2L = 480 - 390
2L = 90
L = 90/2
L = 45 miles.
Therefore, the distance Minato drive along local roads is 45 miles
Answer:
75.2 degrees Fahrenheit
Step-by-step explanation:
F = StartFraction 9 Over 5 EndFraction C + 32
- Multiply the value of C by StartFraction 9 Over 5 EndFraction before adding 32.
- 24 Degrees Celsius is 75.2 Degrees Fahrenheit.
Answer: The largest angle formed during his trip is at the mall between his home and the library.
Step-by-step explanation:
Hi, since the situation forms a right triangle (see image attached) the angle formed between his home and the library is 90°.
The sum of the interior angles of a right triangle is 180°, and the right angle (90°)is the largest angle formed.
So, the largest angle formed during his trip is at the mall between his home and the library.
Feel free to ask for more if needed or if you did not understand something.
All the given points are collinear, so we have ...
AB +BC = AC
BC +CS +SD = BD
The problem statement tells us
BD = AC
BC +CS +SD = AB +BC . . . . . substituting for BD and AC
BC +CS +2 = 4 +BC . . . . . . . . substituting given lengths
CS = 2 . . . . . . . . . . . . . . . . . . . subtract (2+BC)
CS is the radius of Circle C, so its diameter is twice that: 4. The radius of Circle D is the diameter of Circle C plus SD, so is 4 +2 = 6. The diameter of Circle D is twice that: 12.
The diameter of Circle C is 4.
The diameter of Circle D is 12.
