9514 1404 393
Answer:
r = 1/9
Step-by-step explanation:
First of all, solve the equation for r:
y = rx
y/x = r . . . . . . . divide by x
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Since r is a constant, it will be the same for any corresponding pairs of x and y. It is convenient to choose both x and y as integers, as in the third table entry.
r = y/x = 5/45
r = 1/9 . . . . . . . . . reduced fraction
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<em>Additional comment</em>
It is not a bad idea to check to see that this works with other values of x and y. For the first line of the table, we have x = 11:
y = rx = (1/9)(11) = 11/9 = 1 2/9 . . . . matches the table value
Answer:
1
Step-by-step explanation:
Distance between x's (Δx)
0
This field is calculated automatically, you cannot change it's value manually.
Distance between y's (Δy)
1
d = √(Δy2 + Δx2) = √(12 + 02) = √1 = 1
Answer:
2/4
Step-by-step explanation:
Change the 2 1/2 to 2 2/4
now subtract 1/4 from 2 2/4 leaving 2 1/4
Now subtract 1 3/4 from 2 1/4 in which you get 2/4
which is the answer :)
H = height of triangle
b = length of triangle base
A = area of triangle
Recall the formula for area of a triangle :
A = 1/2 bh
Plug in what was given in the problem :
h = b - 5
A = 42
A = 1/2 bh
42 = 1/2 b (b-5)
Given:
In ΔNOP, n = 910 inches, o = 110 inches and p=820 inches.
To find:
The measure of ∠P to the nearest degree.
Solution:
According to the law of cosine:
Using law of cosine in triangle NOP, we get
Putting the given values, we get
Taking cos inverse on both sides, we get
Therefore, the measure of ∠P is 33°.
