Answer:
81
Step-by-step explanation:
sin 31 = 42/x
x sin 31 = 42
x = (sin 31)/42
you need to plug your g(x) into the function f(x)
f(g(x))= 9(-x+3)-2, then you just distribute the 9 to set in the parentheses
f(g(x))= -9x+27-2, then finally you combine your like terms to get
f(g(x))= -9x+25
There are four banana, one strawberry and one water-melon smoothies, six in all.
Assuming all smoothies are identical when we pick, then the probability of picking a particular one is one divided by the total number (of smoothies).
Since there are four banana smoothies, the probability of picking a banana smoothie is four divided by six, or four-over-six, or two-thirds.
There are now five smoothies remaining, of which three are banana. Therefore the probability of picking another banana is three-over-five, or three fifths.
The final probability is the product of the individual (we call it a two-step experiment), or two-third multiplied by three-fifths, equal to two-fifths, or forty percent.
Recall that if the first banana smoothie had been put back in the batch, the probability would come out different.
∠GBE = y (alternate angles)
∠DBG + ∠GBE = 180 (Adjacent angles on a straight line adds up to 180)
⇒ x + y = 180
∠DBG = ∠ABE (Vertially opposite angles)
⇒ x = 5y - 18
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Solve for x and y :
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x + y = 180 -------- (1)
x = 5y - 18 --------- (2)
Sub (2) into (1) :
5y - 18 + y = 180
6x = 198
x = 33 --------- Sub into (1)
x + y = 180
33 + y = 180
y = 147
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Answer: x = 33°, y = 147°
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