The distance between Ivy's house and the supermarket and the distance between the supermarket and the bank:
H&S = 1,014 M; and S&B = 854m. This is resolved using the Sine Theorem.
<h3>What is the calculation backing the above solution?</h3>
Notice that the Angles of a Triangle add up to 180° That is
∠A + ∠B + ∠C = 180°
Thus,
∠C = 180° - 32° - 109°
= 39°
Recall the Sine Theorem which indicates;
a/SinA = b/SinB = c/SinC
thus given that
AC = 1,523m
We have
AC/SinB = BC/SinA
BC = AC/SinB * SinA
= 1523/Sin109° * Sin32°
BC =854m
Therefore
AC/SinB = AB/SinC
Thus,
AB = AC/SinB * SinC
= 1523/Sin109° * Sin39°
AB ≈ 1,014m
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A = π r^2
A = 9^2 <span>π
</span>A = 81<span>π
if using </span>π = 3.14 then
A = 3.14 x 81 = 254.47 ft^2
answer: 81π ft^2 or 254.47 ft^2
hope that helps
Slope = (y2-y1)/(x2 - x1)
Slope = (9 - 6)/(-3- (-9)) = 3/6 = 1/2
Answer: 1/2
First, you have to set up two equations.
X + y = 45
18x + 24y = 1,050
To do this, you have to solve for an exponent by cancelling out the other one. To solve for y, you multiply everything in the first equation by -18.
-18x -18y = -810
This cancels out the x and leaves you with 6y = 240. Divide both sides by 6 and you have the number of Yankee hats that were bought.
Then, you have to substitute 40 for y in the first equation and solve for x.
x=-3, y=1
Step-by-step explanation:
Given equations are:
2x-3y=-9 Eqn 1
x+y = - 2 Eqn 2
From eqn 2:
Putting x=-y-2 in eqn 1
Hence,
x=-3, y=1
Keywords: Linear equations, Variables
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