Answer:
B = 35° , a = 55.256, b = 32.401
Step-by-step explanation:
To get B we know that triangle has sum of ° 180, for solving a and b we will use law of sine where a/sinA = b/sinB = c/sinC
Answer:
6 less-than-or-equal-to x less-than infinity
Step-by-step exhplanation:
y = 2(x - 6)^½
x - 6 》0
Because square root of negative values is not real
x - 6》0
x》6
This is the same as:
6《x < infinity
9514 1404 393
Answer:
128 miles
Step-by-step explanation:
The convict has a head start of ...
distance = speed × time
distance = (8 mi/h) × (14 h) = 112 mi
That distance is being closed at a rate that is the difference between the speeds, so ...
64 mi/h -8 mi/h = 56 mi/h
The time it takes the guards to catch the convict will be ...
time = distance/speed
time = (112 mi)/(56 mi/h) = 2 h
The guards and prisoner will be at a distance from the prison of ...
distance = speed × time
distance = (64 mi/h)(2 h) = 128 mi
The convict will be caught 128 miles from the prison.
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<em>Check</em>
The convict will run an additional (8 mi/h)(2 h) = 16 mi after the guards start pursuit. That, in addition to the 112 miles already run, will total 112+16=128 miles, the same distance the guards travel in that 2 hours.
Answer:
$33.33
Step-by-step explanation:
Use the formula i = prt, where p is the principal, r is the interest rate as a decimal fraction and t is the elapsed time in years.
Here, i = $500*(0.10)*(2/3 year) = $33.33
