5x-6= 3x
⇒ 5x-3x= 6
⇒ 2x= 6
⇒ x= 6/2
⇒ x= 3
Final answer: x=3~
Answer:
11,880π in^3
Step-by-step explanation:
The volume of a cylinder = π r^2 h
Large Cylinder V = π * 15^2*40 = 9,000π in^3
Small Cylinder V = π * 12^2 * (60-40) = 2880π in^3
Adding: the total volume of the model = 11,880π in^3
Angle of taller building Tan 45° = opposite (height of the building)/
adjacent 50 feet (distance between Kathy and the taller building
Tan 45° = 1
Height of taller building from eye level = multiplying adjacent
50 feet * Angle (Tan 45°) 1 = 50 feet opposite
Angle of smaller building Tan 38° = 0.781
Height of smaller building from eye level = Angle * adjacent
50 feet = 39.06 feet
Difference of eye level from ground is 5 feet
Taller building height is 50 + 5
Total height of taller building is 55 feet.
Smaller building height is 39.06 + 5
Total height of smaller building is 44.06 feet
<span> </span>
<span>The equation x^2 - 36 = 5x is a quadratic equation and can be solved thus:
x^2 - 36 = 5x
x^2 - 5x - 36 = 0
x^2 + 4x - 9x - 36 = 0
x(x + 4) - 9(x + 4) = 0
(x - 9)(x + 4) = 0
x - 9 = 0 or x + 4 = 0
x = 9 or x = -4
Therefore, the positive solution of x^2 - 36 = 5x? is 9.</span>
Answer:
Any number less than 4 (3 or less)
Step-by-step explanation:
Note that it is a less than sign (<) and not a less than or equal too sign. This means that the answer choices does not include 4. Any number less than 4 is your answer, (for example: 3, 2, 1, 0, -1, -2, etc.)
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