Answer:
theta = pi/6 and
theta = 5pi/6
Step-by-step explanation:
see image. Factor the expression. Solve for sin theta. Then use a calculator or unit circle to solve for theta. See image.
Ava, Kate, and Jin bring all the food to a picnic. Ava brings 34, Kate brings 16, and Jin brings 112. Enter a numerical expressi
2 answers:
Answer:
Step-by-step explanation:
Given that:
Ava bring 34 food to the picnic
Kate bring 16 food to the picnic
JIn brings 112 food to the picnic
To enter these digits by applying equivalent fractions with a denominator of 12;
Their respective numerical expression is:
Ava =
Ava brought food to the picnic
Kate =
Kate brought food to the picnic
Jin =
Jin brought food to the picnic
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Answer:
Step-by-step explanation:
Let r represent speed in the carpool.
We have been given that on the way to work Juan carpools with a fellow co-worker then takes the city bus back home in the evening. The average speed of the 20-mile trip is 5 miles per hour faster in the carpool.
We know that time is equal to distance over speed.
The total distance is 20 mile. Time taken to travel 20 miles using carpool would be
The speed on the bus is 5 miles greater, so it will be . Time taken to travel 20 miles using bus would be
Total time will be equal to sum of both times that is:
Let us simplify our expression.
Combine numerator:
Therefore, our required expression would be .
Answer:
or
Step-by-step explanation:
has:
1) amplitude=|a|
2) phase shift=b
3) period=2pi/c
d) vertical shift=d
--------------------------------------------------
You are given the amplitude is 2. This means a could either be 2 or -2.
You are given phase shift is -1/8. This means b is -1/8.
You are given the period is pi. So we need to solve pi=2pi/c.
pi=2pi/c
Dividing both sides by pi gives:
1=2/c
Multiply both sides by c gives:
c=2
The vertical shift is -2 so d=-2.
The equation could either be:
y=2cos(2(x-(-1/8)))-2
or
y=-2cos(2(x-(-1/8)))-2
Simplifying a little gives:
y=2cos(2x+1/4)-2
y=-2cos(2x+1/4)-2
There are cups in a pint. This means we can multiply a number of pints by
to find the number of cups.