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2 years ago

The main sail of a sailboat has the dimensions shown in the figure at the right. What is the height of the main sail?

Mathematics

1 answer:

levacccp [35]2 years ago

5 0

Answer:

$h = 16.1$

Step-by-step explanation:

$sin A /a = sin B / b = sin C/c$ where A is angle and a is side opposite of angle

$sin (49) / h = sin(41)/ 14$ cross-multiply

$h*sin(41) = 14 * sin(49)$

$h = (14*sin(49))/ sin(41)$

$h = 16.1$

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How to solvee ????? PPLLEASEEEEE

Kipish [7]

If they are all in a line then we can find the equation of their line using: y = mx + b

First find m using points (2,5) and (3,3)

m = (5-3)/(2-3) = 2/-1 = -2

Now using (3,3) and m= -2 to solve for b:

3 = -2(3) + b
3 = -6 + b
9 = b

So our equation is y = -2x + 9
That is the solution for question b)

Now to find the mystery point, solve:

1 = -2x + 9
-8 = -2x
4 = x

So our mystery point is (4,1)

So for part a) the answer is k = 4

5 0

3 years ago

Read 2 more answers

Triangle PQR is transformed to triangle P'Q'R'. Triangle PQR has vertices P(8, 0), Q(6, 2), and R(−2, −4). Triangle P'Q'R' has v

almond37 [142]

Answer:

Part A: The scale factor is 2

Part B:

P''(-4, 0)

Q''(-3, 1)

R''(1, -2)

Part C: No

Step-by-step explanation:

Part A:

The coordinates of the triangle PQR are P(8, 0), Q(6, 2), and R(-2, -4)

The coordinates of the triangle P'Q'R' are P'(4, 0), Q'(3, 1), and R'(-1, -2)

Please find attached the plot of triangles PQR and P'Q'R'

The length of the sides are given by the following formula;

Using an online length

For PQ. the length =

For PR. the length =

For RQ. the length =

While for triangle P'Q'R', we have;

For P'Q'. the length =

For P'R'. the length =

For R'Q'. the length =

∴ PQ = 2 × P'Q'

PR = 2 × P'R'

QR = 2 × Q'R'

Therefore, the scale factor = 2

Part B

By reflecting about the y-axis we have;

Coordinates of the preimage (x, y) after reflection across the y=axis becomes (-x, y)

Therefore, the coordinates of the triangle P''Q''R'' are;

P'(4, 0) after reflection = P''(-4, 0)

Q'(3, 1) after reflection about the y-axis is Q''(-3, 1)

R'(-1, -2) after reflection about the y-axis becomes R''(1, -2)

Part C: No

Given that the triangle P''Q''R'' is congruent to triangle P'Q'R', and triangle P'Q'R' is similar to but not congruent to triangle PQR, we have that triangle P''Q''R'' is similar to but not congruent to triangle PQR.

Step-by-step explanation:

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myrzilka [38]

Either A or C since the slopes are different.