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solniwko [45]
3 years ago
12

The short side of a triangle is always opposite the

Mathematics
1 answer:
Goryan [66]3 years ago
7 0
That would be B
- smallest  angle
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On a map, Orlando is 187 millimeters due south of Niagara Falls, Denver is 282 millimetersfrom Orlando, and Denver is 244 millim
Agata [3.3K]

Answer:

S80.6°W

Explanation:

From the diagram:

• Niagara Falls to Denver, a = 244 millimeters

,

• Niagara Falls to Orlando, b = 187 millimeters

,

• Denver to Orlando, c = 282 millimeters

To find the bearing of Denver from Niagra falls, the first thing is to find the angle at Niagra Falls(C) using the Law of Cosines.

Angle C is opposite side c.

From the law of cosines:

\begin{gathered} \cos C=\frac{a^2+b^2-c^2}{2ab} \\ \implies\cos C=\frac{244^2+187^2-282^2}{2\mleft(244\mright)\mleft(187\mright)} \end{gathered}

We solve the equation for the value of angle C:

\begin{gathered} \cos C=0.1642 \\ C=\arccos (0.1642) \\ C=80.55\degree\approx80.6\degree \end{gathered}

Recall that Orlando is due South of Niagara Falls.

Thus, the bearing of Denver from Niagara Falls is S80.6°W.

4 0
1 year ago
What percent of 99 is 72
Nina [5.8K]

It would be about 72.72727272727273 %

5 0
3 years ago
What are zeros of the function fx =x2+5x +5written in simplest radical form
Bess [88]

Answer:-5/2±1/2\sqrt{5}

Step-by-step explanation:

x^2+ 5x +5=0

a=1,b=5,c=5

plugging into the quadratic formula

(-5±\sqrt{5})/2

3 0
3 years ago
What equation in slope-intercept form represents the line that passes through the points (1, -6), (-3, 10).
Nesterboy [21]
Slope equation (y2-y1)/(x2-x1)
(10+6)/(-3-1) = 15/ -4 = -3.75
y = -3.75x + b
Plug in any point
-6 = -3.75 + b
b = -2.25
The equation is y= -3.75x - 2.25
I believe, correct me if I’m wrong
4 0
3 years ago
Read 2 more answers
Line CD is the perpendicular bisector of segment AB. The lines intersect at point E. Which of these statements is true?
fredd [130]

Answer:

C. E is the same distance from A and B.

Step-by-step explanation:

Line CD is a perpendicular that divides segment AB into two equal parts as it intersects segment AB at point E.

This divides AB into AE and EB.

Point E is the middle of A and B. Therefore, E will be the same distance from A and from B.

That is, AE = EB.

Therefore, the statement that is true is: C. E is the same distance from A and B.

6 0
3 years ago
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