Answer:
21 minutes
Step-by-step explanation:
Given the following :
Taking CITY STREET:
Time taken to drive to nearest bowling alley = 45 minutes = 45/60 = 0.75 hours
Speed of travel = 30 miles per hour
Taking FREEWAY:
speed of travel = 65miles per hour
If the distance to bowling alley is the same along both routes, The time taken along FREEWAY will be :
.
Distance to bowling alley taking city center :
Speed = distance / time
30 mph = distance / 0.75 hour
Distance = 30 × 0. 75 = 22.5 miles
Since distance is the same :
Time taken along FREEWAY :
Time taken = distance / speed
Time taken = 22.5 / 65 = 0.3461538 hour
Converting to minutes :
0.3461538 × 60 = 20.769 minutes
= 21 minutes ( to the nearest minute)
Answer:
Total of Amala’s liabilities is $5500 .
Step-by-step explanation:
Liabilities is defined as the sums of money which it owes .
As given
Amala listed her assets and liabilities. Credit Card Balance Car (Paid in full) Jewelry Student Loan Savings Account Stocks $850 $2,200 $125 $2,500 $1,200 $1,500 .
As Credit card balance , car (Paid in full) and student loan are Amala liabilities .
Thus
Total amount of Amala’s liabilities = Credit card balance + car + student loan .
Putting all the values in the above
Total amount of Amala’s liabilities = 850 + 2200 + 2500
= $5500
Therefore the total of Amala’s liabilities is $5500 .
Answer:
x+10-y
Step-by-step explanation:
i'm not 100% sure about this response, but i'd assume the answer is like this for the following reasons:
alex is x years old, and 10 years have passed, meaning 10 years are added onto his age (x+10). addison is still the same amount of years apart from him in age, so you subtract y from that (x+10-y).
Answer:
Option B.
Polygon JKLP maps to polygon MNOP through a rotation.
Step-by-step explanation:
The picture of the question in the attached figure
we know that
If two figures are congruent, then its corresponding sides and its corresponding angles are congruent
In this problem
JK≅MN
KL≅NO
LP≅OP
JP≅MP
and
∠OPM≅∠LPJ
∠NOP≅∠KLP
∠ONM≅∠LKJ
∠NMP≅∠KJP
so
Polygon JKLP maps to polygon MNOP through a rotation clockwise around point P an angle equal to ∠JPM
Answer:
See below.
Step-by-step explanation:
Fifth root of 243 = 3,
Suppose r( cos Ф + i sinФ) is the fifth root of 243(cos 240 + i sin 240),
then r^5( cos Ф + i sin Ф )^5 = 243(cos 240 + i sin 240).
Equating equal parts and using de Moivre's theorem:
r^5 =243 and cos 5Ф + i sin 5Ф = cos 240 + i sin 240
r = 3 and 5Ф = 240 +360p so Ф = 48 + 72p
So Ф = 48, 120, 192, 264, 336 for 48 ≤ Ф < 360
So there are 5 distinct solutions given by:
3(cos 48 + i sin 48),
3(cos 120 + i sin 120),
3(cos 192 + i sin 192),
3(cos 264 + i sin 264),
3(cos 336 + i sin 336).. (Answer).
