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vlabodo [156]
3 years ago
15

Can someone help me draw this out to visualize it?

Mathematics
1 answer:
Vedmedyk [2.9K]3 years ago
3 0

Answer:

Solution given:

South distance :base[b]=80milea

East distance :perpendicular [p]=35miles

Now

<S=?

we have

\tan( \alpha )  =  \frac{p}{b}  =  \frac{35 }{80}

\alpha  =  \tan {}^{ - 1} ( \frac{7}{16} )

\alpha  = 23.629°=24°

24° bearing should be taken from south airport to East airport.

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3 years ago
What is the value of x ??
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Answer:

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Step-by-step explanation:

The Tangent-Secant Exterior Angle Measure Theorem states that if a tangent and a secant or two tangents/secants intersect outside of a circle, then the measure of the angle formed by them is half of the difference of the measures of its intercepted arcs. Basically, what that means here is that x equals half of the difference of 30\textdegree and the measure of the unlabeled arc.

First, we need to find the measure of the unlabeled arc, since we can't find x without it. We know that the measure of the full arc formed by the circle is 360\textdegree, so the measure of the unlabeled arc must be 360-30-100-100=130\textdegree by the Arc Addition Postulate.

Now, we can find x. Using all of the information known, we can solve for x like this:

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5 0
2 years ago
Which equation in point-slope form contains the point (4, –1) and has slope 3?
Andrew [12]

Answer:

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Step-by-step explanation:

Hi there!

We are given a slope of 3 and a point (4,-1).

We need to find the equation of the line in point-slope form

Point-slope form is given as y-y1=m(x-x1), where m is the slope, and (x1,y1) is a point

We have all of the needed information to substitute into the formula

First, let's label the values of everything to avoid any confusion

m=3

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now substitute into the formula *remember, the formula has SUBTRACTION, and we have a NEGATIVE number, so we'll end up subtracting a negative*

y--1=3(x-4)

simplify

y+1=3(x-4)

That's it!

Hope this helps :)

4 0
3 years ago
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