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
Learn more about the Sine Theorem at;
brainly.com/question/27174058
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Answer:
y=29
Step-by-step explanation:
Replace x with 7:
y=8+3(7)
Multiply 7 and 3:
y=8+21
Add together:
y=29
If we know that 30% of the time is used after 9 minutes we can write this mathematically as:
By solving for x we can determine the total time allowed to play games and so:
The total time allowed to play games is 30 minutes. Since 9 minutes have lapsed 30-9=21 minutes left to play.
Answer: 
<u>Step-by-step explanation:</u>
y = A cos (Bx - C) + D
- A (amplitude) = max - D
- B = Period/2π ---> Period is the distance from max to next max
- C = B · Phase Shift ---> Phase shift is distance from y-axis to max
- D (vertical shift) = (max + min)/2
D = (max + min)/2 = (3 - 11)/3 = -4
A = max - D = 3 - (-4) = 7
Period = 9π/4 - π/4 = 8π/4 = 2π
B = Period/2π = 2π/2π = 1
Phase Shift = π/4 - 0 = π/4
C = B · Phase Shift = 1 · π/4 = π/4
Equation:
y = 7 cos (1·x - π/4) + (-4)
Answer:
Area = 
Step-by-step explanation:
The function is the area function of a rectangle.
Area of Rectangle = Length * Width
Length of fabric scrap = 5x
Length of rectangular patchwork will be 5x + 3
and
Width of fabric scrap = 2x
Width of rectangular patchwork will be 2x + 5
THus, Area = (5x+3)(2x+5) square feet.
Let's expand:
