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leva [86]
1 year ago
14

Given a and b are first quadrant angles, sin a=5/13 and cos b=3/5 evaluate sin (a-b)1) -33/652) 33/653) 63/65

Mathematics
1 answer:
bezimeni [28]1 year ago
5 0

The correct option is -33/65.

The solution is given below:

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The GCD(a, b) = 9, the LCM(a, b)=378. Find the least possible value of a+b.
denis-greek [22]
\mathrm{gcd}(a,b)=9\implies9\mid a\text{ and }9\mid b\implies9\mid a+b

which means there is some integer k for which a+b=9k.


Because 9\mid a and 9\mid b, there are integers n_1,n_2 such that a=9n_1 and b=9n_2, and


\mathrm{lcm}(a,b)=\mathrm{lcm}(9n_1,9n_2)=9\mathrm{lcm}(n_1,n_2)=378\implies\mathrm{lcm}(n_1,n_2)=42

We have 42=2\cdot3\cdot7, which means there are four possible choices of n_1,n_2:

1, 42
2, 21
3, 14
6, 7

which is to say there are also four corresponding choices for a,b:

9, 378
18, 189
27, 126
54, 63

whose sums are:

387
207
153
117

So the least possible value of a+b is 117.
6 0
3 years ago
A spinner with 4 equal sections (red, blue, green, yellow) is spun 43 times. About how many times would you predict it lands on
Andrews [41]

Answer:

11 times

Step-by-step explanation:

Sample space = {red, green, blue, yellow)

Probability of landing blue in a single spin ;

P(blue) = required outcome / Total possible outcomes

P(blue) = number of blue / sample space

P(blue) = 1/4

Number of spins = 43

Expected number of times it'll land on blue :

P(blue) * number of spins

1/4 * 43 = 10.75

About 11 times

7 0
3 years ago
Use elimination "subtraction" to solve this system. 2x+y=2 and 5x+y=8​
Alex17521 [72]

Answer:

y= 0 and y = 3

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
What is the speed of a car that<br> travels 150 miles in 3 hours?
ale4655 [162]
The answer is 50


150/3 is 50

3 0
3 years ago
Read 2 more answers
The question is there pls help im going to die i don't get this done. (21 points) promise :(
andrew11 [14]

Answer:

B

Step-by-step explanation:

four times as much;

6 0
2 years ago
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