The stalactites become 0.004 + 0.006 = 0.01 inches closer each year, and begin 10 feet apart, or 120 inches apart.
let y be the distance between them, and x be the number of years that go by:
y = -0.01x + 120
We want to find where y = 0, where they meet:
0 = -0.01x + 120 Add 0.01x to both sides
0.01x = 120 Multiply both sides by 100
x = 12,000
The stalagmite and stalactite will meet in 12,000 years
There are 5,280 feet in a mile.
The hypotenuse is always opposite the right angle and it is always the longest side of the triangle.
Hope this helped ;)
Hello there!
(5x - 2)(4x² - 3x - 2)
Use the distributive property
=(5x)(4x²) + (5x)(-3x) + (5x)(-2) + (-2)(4x²) + (-2)(-3x)² + (-2)(-2)
= 20x³ - 15x² - 10x - 8x² + 6x + 4
= 20x³ - 23x² -4x + 4
As always, it is my pleasure to help students like you. Let me know if you have any questions.
Answer:
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Step-by-step explanation:
x + 5 + 3x + C = 180 All triangles have 180 degrees.
4x + 5 + C = 180
But C must be equal to 3x. Notice the markings on the lets of the triangle.
4x + 5 + 3x = 180
7x + 5 = 180 Subtract 5 from both sides
7x = 180 - 5
7x = 175
x = 25
But angle C = 3x
C = 3*25
C = 75
