Answer:
The rate of degrees per meter increased would be 25,000°
Answer:
x = 9
Step-by-step explanation:
All of the right triangles in the figure are similar. That means ratios of corresponding sides are the same.
The two sides marked with numerical values have lengths 5 and 2√5 ≈ 4.47. The remainder of x, which is (x-5), will be shorter than either of the other two marked lengths. This means we can write the ratio of short side to long side of the two smaller triangles as ...
short side / long side = (2√5)/5 = (x-5)/(2√5)
Cross-multiplying gives ...
20 = 5(x -5)
4 = x -5 . . . . . divide by 5
9 = x . . . . . . . add 5
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<em>Additional comment</em>
In this geometry, as we have seen above, the square of the altitude ((2√5)²=20) is the product of the lengths of the segments of the hypotenuse (5×4=20). There are two other "geometric mean" relationships in a triangle like this, involving the legs of the largest triangle. They all arise from the similarity of the triangles.
Answer:
$1,592.74
Martha will need to pay $1,592.74 more
Step-by-step explanation:
Using the compound interest/inflation formula;
A = P(1+r)^(t)
Where;
A = final value
P = initial value = $10,000
r = inflation rate = 3% = 0.03
t = time = 5 years
Substituting the values;
A = $10,000(1+0.03)^(5)
A = $11592.740743
A = $11,592.74
How much more will Martha need to save;
C = final value - initial value = A - P
C = $11,592.74 - $10,000
C = $1,592.74
Martha will need to pay $1,592.74 more
Answer:x=6
Step-by-step explanation:g o h is a composition function
First we find g o h
g o h is g(h(x))
We plug in h(x) in g(x)
We replace x with 2x-8 in g(x)
To find domain we look at the domain of h(x) first
Domain of h(x) is set of all real numbers
now we look at the domain of g(h(x))
Negative number inside the square root is imaginary. so we ignore negative number inside the square root
So to find domain we set 2x - 12 >=0 and solve for x
2x - 12 >=0
add both sides by 12
2x >= 12
divide both sides by 2
x > = 6
GCF = xy
Rewritten = xy(3-8x)
