The elevation of the trench is between 4 miles and 5 miles.
<h3>Between which integers is the elevation of the trench in miles?</h3>
Herein we have the information of the elevation of the trench in feet and we need to determine between which integers in miles is that elevation, based on the unit conversion from feet to miles. The exact elevation in miles is found by simple rules of three:
x = 22,889 feet × (1 / 5,280 miles / feet)
x ≈ 4.335 miles
The elevation of the trench is between 4 miles and 5 miles.
To learn more on unit conversions: brainly.com/question/11543684
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To solve this problem, we need to know the formula for the nth term of an arithmetic sequence. The formula is
= t₁ + (n-1)d, with
being the nth term, t₁ being the first term, and d being the distance between terms. Now we can substitute values to figure out what
is. When substituting, the equation becomes:
= 12 + 29(-6)
= -162
That means that the 30th term in this arithmetic sequence is
-162.
Answer:
4 √6
Step-by-step explanation:
We have a few right triangles. We know that a²+b²=c², with c being the side opposite the right angle. Representing the side without a value as z, we have:
m²+z² = (8+4)² = 12²
4²+n²=z²
8²+n²=m²
We have 3 equations with 3 unknown variables, so this should be solvable. One way to find a solution is to put everything in terms of m and go from there. First, we can take n out of the equations entirely, removing one variable. We can do this by solving for it in terms of z and plugging that into the third equation, removing a variable as well as an equation.
4²+n²=z²
subtract 4²=16 from both sides
z²-16 = n²
plug that into the third equation
64 + z² - 16 = m²
48 + z² = m²
subtract 48 from both sides to solve for z²
z² = m² - 48
plug that into the first equation
m² + m² - 48 = 144
2m² - 48 = 144
add 48 to both sides to isolate the m² and its coefficient
192 = 2m²
divide both sides by 2 to isolate the m²
96 = m²
square root both sides to solve for m
√96 = m
we know that 96 = 16 * 6, and 16 = 4², so
m = √96 = √(4²*6) = 4 √6
Answer: 1.01$
Step-by-step explanation:
.18 + .18=.36
.36 + .65=1.01$
So, first we multiply the fraction by using the formula a/b times c/d= a times c/b times d
=(y^2-16) times 5y/2y(y-4)
Now, we cancel the common factor y
=(y^2-16) times 5/2(y-4)
Now, we factor 5(y^2-16)
We factor (y^2-16) first
y^2-16
Rewrite 16 as 4^2
y^2-4^2
Now, apply the formula x^2-y^2=(x+y)(x-y)
=y^2-4^2=(y+4)(y-4)
=5(y+4)(y-4)
=5(y+4)(y-4)/2(y-4)
Cancel the common factor y-4
=5(y+4)/2
Answer: 5(y+4)/2
