Answer: 3, 5, and 11
Step-by-step explanation: a prime number is a number greater than 1 that is not a product of two smaller natural numbers.
Answer:
11/15
Step-by-step explanation:
2/5 + 1/3
6/15 + 5/15 (which are equivalent fractions of 2/5 and 1/3 respectively)
11/15
Answer:
-16/65
Step-by-step explanation:
Given sinα = 3/5 in quadrant 1;
Since sinα = opp/hyp
opp = 3
hyp = 5
adj^2 = hyp^2 - opp^2
adj^2 = 5^2 = 3^2
adj^2 = 25-9
adj^2 = 16
adj = 4
Since all the trig identity are positive in Quadrant 1, hence;
cosα = adj/hyp = 4/5
Similarly, if tanβ = 5/12 in Quadrant III,
According to trig identity
tan theta = opp/adj
opp = 5
adj = 12
hyp^2 = opp^2+adj^2
hyp^2 = 5^2+12^2
hyp^2 = 25+144
hyp^2 = 169
hyp = 13
Since only tan is positive in Quadrant III, then;
sinβ = -5/13
cosβ = -12/13
Get the required expression;
sin(α - β) = sinαcosβ - cosαsinβ
Substitute the given values
sin(α - β) = 3/5(-12/13) - 4/5(-5/13)
sin(α - β)= -36/65 + 20/65
sin(α - β) = -16/65
Hence the value of sin(α - β) is -16/65
X = 8% * 85
x = 8/100 * 85
x = 0.08 * 85
Multiply 0.08 and 85.
x = 6.8
6.8 is 8%<span> of 85.</span>
3x^2 + 6x - 24
3(x^2 + 2x - 8)
3(x + 4)(x - 2) <==