You need to find the distance across a river, so you make a triangle. BC is 661 feet, m∠B=103.2° and m∠C=14.4°. Find AB.
1 answer:
Answer:
AB = 185.77 feet
Step-by-step explanation:
From the figure attached, in ΔABC,
m∠B = 103.2°, m∠C = 14.4° and side BC = 661 feet
We have to find the measure of side AB.
Since ∠A + ∠B + ∠C = 180°
∠A + 103.2 + 14.4 = 180
∠A + 117.6 = 180
∠A = 180 - 117.6
= 62.4°
By applying sine rule in the given triangle ABC
AB =
= 185.77 feet
Therefore, AB = 185.77 feet will be the answer.
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Answer:
Let x represents the week and y represents the seashells
As per the statement:
Dora has 10 seashells and plans to add 2 shells every week.
"2 shells every week" means 2x
⇒y = 10 + 2x
It is also given, Jerri has 4 seashells and plans to add 5 shells every week.
"5 shells every week" means 2x
⇒ y = 4 + 5x
The system of equation would be used:
y = 10 + 2x
y = 4 + 5x
Since, the girls have the same number of seashells
⇒
Subtract 4 from both sides we get;
Subtract 2x from both sides we get;
Divide by 3 both sides we have;
x = 2 weeks.
Therefore, the number of weeks would it be before the girls have the same number if seashells is, 2 weeks.