BC is 10 units and AC is units
Step-by-step explanation:
Let us revise the sine rule
In ΔABC:
- AB is opposite to ∠C
- BC is opposite to ∠A
- AC is opposite to ∠B
Let us use this rule to solve the problem
In ΔABC:
∵ m∠A = 45°
∵ m∠C = 30°
- The sum of measures of the interior angles of a triangle is 180°
∵ m∠A + m∠B + m∠C = 180
∴ 45 + m∠B + 30 = 180
- Add the like terms
∴ m∠B + 75 = 180
- Subtract 75 from both sides
∴ m∠B = 105°
∵
∵ AB =
- Substitute AB and the 3 angles in the rule above
∴
- By using cross multiplication
∴ (BC) × sin(30) = × sin(45)
∵ sin(30) = 0.5 and sin(45) =
∴ 0.5 (BC) = 5
- Divide both sides by 0.5
∴ BC = 10 units
∵
- Substitute AB and the 3 angles in the rule above
∴
- By using cross multiplication
∴ (AC) × sin(30) = × sin(105)
∵ sin(105) =
∴ 0.5 (AC) =
- Divide both sides by 0.5
∴ AC = units
BC is 10 units and AC is units
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You can learn more about the sine rule in brainly.com/question/12985572
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Answer:
58.25n+30p-2
Step-by-step explanation:
Given the expression as;
1 + 4.25n + 32p – 3 + (–2p) + 54n
collect like terms
1-3+4.25n+54n+32p-2p
-2+58.25n+30p
58.25n+30p-2
I have copied one brainly user's answer, sorry for that...
However, hope it helps you!!!
A. 15
b. 26
d. 41
e. 82
f. 98
h. 49
the solution is where the line cross on the y axis, which is on 0
so y = 0
5 with some change left over.