The figure that this question is referring to is attached. We must use the Law of Sines to solve this question, which is as follows:
a/sinA = b/sinB = c/sinC
This applies to any triangle. We are told that ∠ABD = 120º. We are asked to solve for ∠ADC. We know that ∠ADC + ∠ADB = 180º. If we assign ∠ADC = x, then ∠ADB = 180<span>º - x. We can now apply the law of sines to this data.
35/sin120 = 30/sin(180-x)
sin(180-x) = (30/35)(sin120)
sin(180-x) = 0.742
sin-1(sin(180-x)) = sin-1(0.742)
180 - x = 48</span><span>º
x = 132</span><span>º
</span>
We have already assigned x = ∠ADC; therefore,
∠ADC = 132<span>
º.</span>
Answer:
128 bags
Step-by-step explanation:
24 bags with 21 kg
128 bags with 112 kg
Answer: 2 1/4
Step-by-step explanation: theirs 2 whole so with that theirs another circle cut in 4th's and 1 is shaded so 1/4.
Answer:
4t + 29
Step-by-step explanation:
7(5 + t) - 3(t + 2)
35 + 7t - 3t - 6
4t + 35 - 6
4t + 29
Answer:
6/25
Step-by-step explanation:
Because england, scotland and france are european team and they make up 3/5 of all the teams, you multiply 3/5 by 2/5 because the south american teams are brazil and argentina which make up 2/5 of the total teams. So the probability that a european team will play a south american team is 3/5*2/5 which is 6/25