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3 years ago

Town B is 40km due North of town A. what is the bearing of A from B

Mathematics

1 answer:

marysya [2.9K]3 years ago

6 0

Answer:

Step-by-step explanation:

40km is the bearing

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30 POINTS AVAILABLE

kherson [118]

Answer:

$\large\boxed{(x-2)^2+(y-1)^2=34}$

Step-by-step explanation:

The equation of a circle in standard form:

$(x-h)^2+(y-k)^2=r^2$

(h, k) - center

r - radius

We have the endpoints of the diameter: (-1, 6) and (5, -4).

Midpoint of diameter is a center of a circle.

The formula of a midpoint:

$\left(\dfrac{x_1+x_2}{2};\ \dfrac{y_1+y_2}{2}\right)$

Substitute:

$h=\dfrac{-1+5}{2}=\dfrac{4}{2}=2\\\\k=\dfrac{6+(-4)}{2}=\dfrac{2}{2}=1$

The center is in (2, 1).

The radius length is equal to the distance between the center of the circle and the endpoint of the diameter.

The formula of a distance between two points:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Substitute the coordinates of the points (2, 1) and (5, -4):

$r=\sqrt{(5-2)^2+(-4-1)^2}=\sqrt{3^2+(-5)^2}=\sqrt{9+25}=\sqrt{34}$

Finally we have:

$(x-2)^2+(y-1)^2=(\sqrt{34})^2$

3 0

3 years ago

The magnitude of m is 29.2 meters, and the magnitude of n is 35.2 meters. If m and n are perpendicular, what is the magnitude of

iris [78.8K]

Answer:

The correct answer is 45.73 m

6 0

3 years ago

Find the two correct values of x in the equation 3x² = y when y = 75.

valentina_108 [34]

Answer:

5 and -5

Step-by-step explanation:

3x² = 75

x² = 75/3

x² = √25

x = 5 and - 5

3 0

2 years ago

Please hellp find x y and z

melomori [17]

Answer:

angle x = 98

angle y = 82

angle z = 82

Step-by-step explanation:

angle y + 98 = 180; therefore, angle y = 82 degrees

angles z and y are alternate interior angles and are congruent (equal)

angle x is 98 degrees because angles x and y are same-side interior and their angles are supplementary (add up to 180 degrees)

5 0

2 years ago

Which expression is equivalent to 27 +4 •16

Pavel [41]

Answer:

27+64

Step-by-step explanation:

lmk if you need an explanation

6 0

3 years ago

Town B is 40km due North of town A. what is the bearing of A from B​

Town B is 40km due North of town A. what is the bearing of A from B