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iogann1982 [59]
3 years ago
6

What is the value of sin(A) ?

Mathematics
2 answers:
iVinArrow [24]3 years ago
6 0

Triangles ABC and XYZ are similar, so the corresponding angle to A in XYZ triangle is angle X. We can actually find sin(X) very easily.

Because we know all sides and the right angle, we can use certain formula to find sin(X), like this:

sin(X) = opposite side / hypotenuse = 6/10 = 3/5

sin(X) = sin(A)

The correct answer is sin(A) = 3/5.

pickupchik [31]3 years ago
3 0

Answer:

6/10

Step-by-step explanation:

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Galina-37 [17]

Answer:

C XD

Step-by-step explanation:

The altitude of a triangle goes from the vertex (corner) to the opposite side.  It must be perpendicular to the opposite side ( at a right angle)

XD is an altitude

4 0
3 years ago
The circumference of a circle is 48π units. what is the radius of the circle?
tresset_1 [31]
The radius would be 75.36. In order to receive this answer, you must do 48 times 3.14. You will then receive an answer of 150.72. Then, you have to divide 150.72 by 2 in order to obtain your final answer : 75.36.
8 0
3 years ago
The cost of riding in a cab is $3.00 plus $0.75 per mile. The equation that represents this relation is y = 0.75x +3, where x is
Gemiola [76]

Answer:

Yes, the relation is a function.

Step-by-step explanation:

Given:

The equation that represents the cost of riding a cab is given as:

y=0.75x+3

Where, 'x' is the number of miles traveled and 'y' is the the total cost of the trip.

The above equation represents a line as it is of the form y=mx+b which represents a line with constant slope.

Now, in order to plot this equation, we need at least two points.

Now, let x =0, then

y=0.75(0)+3=3. So, (0, 3) is a point on the line.

Let x =1, then

y=0.75(1)+3=3.75. So, (1, 3.75) is a point on the line.

Plot these two points on a graph and draw a line passing through these two points.

Now, for a relation to be a function, it should pass the vertical line test.

According to vertical line test, vertical lines passing through the graph must cut the graph at only 1 point for the graph to represent a function.

Here, we observe that vertical lines passing through the line will intersect the line only at one point. So, it represent a function.

8 0
3 years ago
A boat attempts to sail due east at 15km/h, but is taken off course by a current of 5 km/h flowing in the southwest direction. F
SCORPION-xisa [38]

Answer:

Resultant speed = 12 km/h.

Bearing is 107.14 degrees.

Step-by-step explanation:

This can be represented by a triangle of velocities with lengths 15 and 5 with the included angle = 45 degrees.

To find the velocity of the resultant  we use cosine rule:

v^2 = 15^2 + 5^2 - 2*5*15cos 45

v^2 = 143.934

v = 12.0 km/h to the nearest tenth.

To find the bearing we use the sine rule to find the angle down from due east>

12 / sin 45 = 5/ sin x

sin x =  5 sin 45 / 12 = 0.2946278

x = 17.14 degrees.

Bearing is therefore 90 + 17.14 = 107.14 degrees.

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