Using proportions, it is found that the two cities are 27.5 miles apart.
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.
From the given scale, we have that <u>each inch of distance represents 10 miles</u>. Hence the distance in miles for a distance of 2 and 3/4 miles = 2.75 miles is given by:
D = 10 x 2.75 = 27.5 miles.
Hence, the two cities are 27.5 miles apart.
More can be learned about proportions at brainly.com/question/24372153
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Answers:
tan(A) = 8/15
sin(A) = 8/17
cos(A) = 15/17
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Explanation:
The tangent ratio involves the opposite over adjacent. With respect to angle A, the opposite side is 8 units long as this side is as far as possible away from angle A. In contrast, the adjacent side is 15 units long because this leg is closest possible and the two are right next to one another.
Therefore,
tan(angle) = opposite/adjacent
tan(A) = BC/AC
tan(A) = 8/15
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As for the other trig ratios, they are:
sin(angle) = opposite/hypotenuse
cos(angle) = adjacent/hypotenuse
which explains why sin(A) and cos(A) are 8/17 and 15/17 respectively.
Answer:
x = -7
Step-by-step explanation:
Our function is
. Notice that our possible roots are when x + 4 = 0 and when x + 7 = 0. So, our roots are -4 and -7.
However, the power above x + 4 is even, meaning the graph will simply <em>touch</em> the x-axis at x = -4, but not pass through. The power above x + 7, though, is odd, which means the graph will <em>cross</em> the x-axis.
Thus, the answer is x = -7.
Answer:
x = 2root(22)
see image.
Step-by-step explanation:
The triangle shown is one big triangle cut into two more smaller triangles: one medium-sized and one smaller.
ALL THREE TRIANGLES ARE SIMILAR BY AA.
Set the two smaller triangles up so you can see the corresponding sides. x is the short leg in one triangle and it is the long leg in the smallest triangle. Set up a proportion.
22/x = x/4
crossmultiply
x^2 = 22•4
x^2 = 88
square root both sides.
x = sqroot(88)
x = 2sqroot(22)
see image.
Answer:
t = 18/2
= 9
Sorry only thing I know is this!!