Step-by-step explanation:
it's mathematics or what I will help you.
At the equilibrium price p, we can solve for the quantity of goods x :
demand = supply
5200 - 0.0005x = 2800 + 0.0003x
2400 = 0.0008x
x = 3,000,000
With this quantity of goods, the equilibrium price is
p = 5200 - 0.0005 (3,000,000)
p = 5200 - 1500
p = 3700
Answer:
Q1
cos 59° = x/16
x = 16 cos 59°
x = 8.24
Q2
BC is given 23 mi
Maybe AB is needed
AB = √34² + 23² = 41 (rounded)
Q3
BC² = AB² - AC²
BC = √(37² - 12²) = 35
Q4
Let the angle is x
cos x = 19/20
x = arccos (19/20)
x = 18.2° (rounded)
Q5
See attached
Added point D and segments AD and DC to help with calculation
BC² = BD² + DC² = (AB + AD)² + DC²
Find the length of added red segments
AD = AC cos 65° = 14 cos 65° = 5.9
DC = AC sin 65° = 14 sin 65° = 12.7
Now we can find the value of BC
BC² = (19 + 5.9)² + 12.7²
BC = √781.3
BC = 28.0 yd
All calculations are rounded
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➷ Angle XBC = 55 degrees because corresponding angles are equal
b) We already know angle XBC
Angle XCB = Angle XBC because isosceles base angles are equal
Therefore, angle XCB = 55 degrees
Angles in a triangle equal 180 degrees
180 - (55 + 55) = 70
Angle BXC = 70 degrees
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Answer:
HI ≈ 12.22
Step-by-step explanation:
tan I = GH / HI
tan 42° = 11 / HI = 0.90
HI = 11/0.90 = 12.22
