Answer:
500,000
2
(3)
10.5%
Activity 2
Directions: Find the unknown principal P, maturity
Answer:
The correct option is:
Building B; it is around 16.35 feet taller than building A.
Step-by-step explanation:
Consult the diagram below where the first figure represent building A and second figure represents building B
For building A:
tan θ = Perpendicular / Base
tan 73° = Height of building A / 30
Height of building A = tan73 · 30
Height of building A = 98.13 ft
For building B:
tan θ = Perpendicular / Base
tan 73° = Height of building B / 35
Height of building A = tan73 · 35
Height of building A = 114.48 ft
Building B is taller
Difference in height = height of building B - height of building A
Difference in height = 114.48 - 98.13 = 116.35 feet
Answer:
x = -6/5
y =7/5
Step-by-step explanation:
2x + y = - 1
x - 2y = - 4
Multiply the first equation by 2 so we can eliminate y
2(2x + y = - 1)
4x + 2y = -2
Add this to the second equation
4x + 2y = -2
x - 2y = - 4
---------------------
5x + 0y = -6
Divide by 5
5x/5 = -6/5
x = -6/5
Multiply the second equation by -2 so we can eliminate x
-2(x - 2y = - 4)
-2x+4y = 8
Add this to the first equation
2x + y = - 1
-2x+4y = 8
---------------------
0x + 5y = 7
Divide by 5
5y/5 = 7/5
y =7/5
Step-by-step explanation:
By Pythagoras' theorem,
12^2 = 11^2 + height^2
height = ±√12^2 - 11^2 (rej -ve value since height > 0)
height = 16.279 (5sf) = 16.3 (nearest tenth place)
Topic: Pythagoras theorem
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Assuming this is written correctly, with no x in the equation, we just solve for y:
y = -3 - 1/3 = -10/3 = 0 x - 10/3
That's slope-intercept form.
Answer: Slope 0, y-intercept -10/3
