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vlabodo [156]
3 years ago
10

The two triangles below are similar.

Mathematics
1 answer:
Fynjy0 [20]3 years ago
8 0
The ratio of the corresponding side lengths are 2:7:5
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two ships leave a port at the same time. the first ship sails on a bearing of 55° at 12 knots (natural miles per hour) and the s
Korvikt [17]

Answer:

37.59 nautical miles

Explanation:

Distance = Speed x Time

The speed of the first ship = 12 knots

Thus, the distance covered after 1.5 hours

\begin{gathered} =12\times1.5 \\ =18\text{ miles} \end{gathered}

The speed of the second ship = 22 knots

Thus, the distance covered after 1.5 hours

\begin{gathered} =22\times1.5 \\ =33\text{ miles} \end{gathered}

The diagram representing the ship's path is drawn and attached below:

The angle at port = 90 degrees.

The triangle is a right triangle.

Using Pythagorean Theorem:

\begin{gathered} c^2=a^2+b^2 \\ c^2=18^2+33^2 \\ c^2=324+1089 \\ c^2=1413 \\ c=\sqrt[]{1413} \\ c=37.59\text{ miles} \end{gathered}

The two ships are 37.59 nautical miles apart after 1.5 hours.

8 0
1 year ago
PLEASE HELP ME!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
jekas [21]

Answer:

smal and blurry

Step-by-step explanation:

4 0
3 years ago
Leo wants to paint a mural that covers a wall with an area of 300 square feet. The height of the wall is 1/3 of its length. What
andrew-mc [135]

Answer:

Length = 30

Height = 10

Step-by-step explanation:

Formula for the area = height * length. We know that the height of the wall is 1/3 of its length. This gives us another formula which is  h=\frac{1}{3} l

Now substitute this into the formula, while knowing that the area is 300.

So we have 300 = \frac{1}{3}l * l

Solving for l gives us 30 and then substituting it back into the equation

h = \frac{1}{3} l, will give us that the height is 10.

Hope this helps

4 0
3 years ago
Simplify: 6 + (5 + 4) * 3
son4ous [18]

Answer:

33

Step-by-step explanation:

9 x 3 = 27 + 6 = 33

7 0
2 years ago
Read 2 more answers
This pre-image was rotated 180° about the origin. Use the segment to draw the image.
PilotLPTM [1.2K]

Answer:

The answer is (1,2) (4,4) (3,7)

Step-by-step explanation:

6 0
3 years ago
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