Answer:
sin(θ)=4√41/41
cos(θ)=5√41/41
tan(θ)=4/5
cot(θ)=5/4
sec(θ)=√41/5
csc(θ)=√41/4
Step-by-step explanation:
Answer:
1.) (11, -7/3), 2.) No solution. 3.) (1, 3)
Step-by-step explanation:
1.)
2x + 3y = 15
x - 3y = 18
Solve...use elimination method
2x + x + 3y - 3y = 15 + 18
3x = 33
x =11
11 - 3y = 18
-3y = 7
y = -7/3
(11, -7/3)
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2.) y = 4x + 4
y = 4x - 4
Use substitution.
4x + 4 = 4x - 4
4 = -4 FALSE NO Solution
3.) y = 5- 2x
4x + 3y = 13
Can use elimination method
2y = 10 - 4x
add it to 4x + 3y = 13
10 + 3y = 2y + 13
y = 3
3 = 5 - 2x
x = 1
(1, 3)
The previous comment is wrong.
Answer:
x = 5
Step-by-step explanation:
11x - 6x = 4 + 21
5x = 25 (÷5)
x = 5
Step-by-step explanation:
If one student is chosen from a pool of 2444 maie students, of which 102 are aspiring research scientists, the probability that the chosen student student is a future research scientist is
102/2444 = 4.17% (to the nearest hundredth percent)