Answer:
x=35
Step-by-step explanation:
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The midpoint, where the rest area is, will just be the average of the coordinates of Springfield and Columbus.
Rest Area=((1+7)/2, (-4+1)/2)
Rest Area=(4, -1.5)
The distance between the two cities can be found using the Pythagorean Theorem, which used in the manner is often referred to as the "distance" formula between two points.
d^2=(x2-x1)^2+(y2-y1)
d^2=(7-1)^2+(1--4)^2
d^2=36+25
d^2=61
d=√61 and we are told that each unit is equal to 5.38mi so the distance from Springfield to Columbus is:
D=5.38√61 mi
D≈42.02mi (to nearest hundredth of a mile)
Answer:
The answer is option B
Step-by-step explanation:
To find cos 45° we must first find the adjacent and the hypotenuse
Let the adjacent be x
Let the hypotenuse be h
To find the adjacent we use tan
tan ∅ = opposite / adjacent
From the question
the opposite is 9
So we have
tan 45 = 9 / x
x tan 45 = 9
but tan 45 = 1
x = 9
Since we have the adjacent we use Pythagoras theorem to find the hypotenuse
That's
h² = 9² + 9²
h² = 81 + 81
h² = 162
h = √162
h = 9√2
Now use the formula for cosine
cos∅ = adjacent / hypotenuse
The adjacent is 9
The hypotenuse is 9√2
So we have
cos 45 = 9/9√2
We have the final answer as
<h3 /><h3>cos 45 = 1 / √2</h3>
Hope this helps you
Answer:
Y = 125
Step-by-step explanation:
Y is directly proportional to X^2
Mathematically,
Y ∝ X²
Y = kX²
Where k = Constant of Proportionality
Step 1
If y = 45 when x = 3
We solve for k
Y = kX²
k = Y/X²
k = 45/3²
k = 45/9
k = 5
Step 2
find y when x = 5
Y = kX²
k = 5, X = 5
Hence,
Y = 5 × 5²
Y = 125
