Answer:
Probability chosen student received A in one or both = 0.191 (Approx.)
Step-by-step explanation:
Given:
Total number of student = 490
66 = received A in general chemistry
58 = received A in calculus
30 = received A in both general chemistry and calculus
Find:
Probability chosen student received A in one or both.
Computation:
Probability chosen student received A in one or both = 66/490 + 58/490 - 30/490
Probability chosen student received A in one or both = 94/490
Probability chosen student received A in one or both = 0.191 (Approx.)
Answer:
Step-by-step explanation:
Another way of looking at this is
, which is a first quadrant angle where x is positive (it could also be a 4th quadrant angle, and it actually ends up there, but either way we'll get to where we're needing to be). The equation asks us to find the angle theta that has a cos of 1/2. We set up the reference angle in quadrant 1. Since cosine is by definition side adjacent over hypotenuse, we put the value of 1 along the x quadrant since that's the side adjacent to the reference angle, and then put the 2 along the hypotenuse of the right triangle that we form. That means that the side across from the reference angle is the square root of 3 which makes the reference angle a 60 degree angle, or pi/3.
So 
Now we need to find the csc of pi/3 - pi/2. Csc is the inverse of the sin ratio, so we can rewrite it in terms of sin:
which simplifies to
after finding a common denominator and subtracting.
is a 30 degree angle measured clockwise from the positive axis, putting that 30 degree angle into quadrant 4. On you calculator, you will find that 1 over the sin of -30 degrees is
-2.
Answer:
b.is the answer to your question
Answer:28 bags with 17 cents left over
Step-by-step explanation: First, subtract the amount of 37.85 from what he started out with, 52.02. You should get 14.17.
Then, if we have 14 whole dollars and the bags each cost 50 cents, then we can just multiply 14 by 2, since each dollar equals 50 cents times 2.
EX: $1=50 cents x2. So 14 dollars x2 would be like saying the first amount 50 cents doubled. You should get 28 bags, with 17 cents left over :). Let me know if this makes sense! I really hope this helps you.
Answer:
(1) 102.55 in
(2) 316.69 in²
Step-by-step explanation:
Applying (1)
a² = b²+c².............. Equation 1
Given: a = 25 in, b = 20 in,
25² = 20²+b²
b² = 25²-20²
b² = 225
b = √225
b = 15 in
b = diameter of the semicircle
The lenght of the semicircle = πd/2 = 3.14×15/2 = 23.55 in
Therefore,
P = 37+25+17+23.55 = 102.55 in
(2) Applying,
A = Area of the tripezium- area of the semi circle
A = [h(a+b)/2]-πh²/8.............. Equation 2
Given; h = 15 in, a = 17 in, b = 37 in
A = (15(17+37)/2)-(3.14×15²/8)
A = 405-88.31
A = 316.69 in²
