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Drupady [299]
3 years ago
10

Right Triangles I been having trouble with gemotrey lately ​

Mathematics
1 answer:
photoshop1234 [79]3 years ago
4 0

Answer:

x = 11√3

y = 22

Step-by-step explanation:

In a 30-60-90 triangle, the hypotenuse is twice the shortest side.

y = 22

The long side is √3 times the short side.

x = 11√3

If you wish to use trigonometric functions:

sin 30° = 11 / y

1/2 = 11 / y

y = 22

tan 30° = 11 / x

1 / √3 = 11 / x

x = 11√3

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The wind is blowing N 35.0 degrees W at 1.60 * 10^2 mph. A plane has an engine speed of 3.20 * 10^2 mph. Where should the pilot
andreyandreev [35.5K]

Answer: 24.2° SouthWest

<u>Step-by-step explanation:</u>

First step: DRAW A PICTURE of the vectors from head to tail <em>(see image)</em>

I created a perpendicular from the resultant vector to the vertex of the given vectors so I could use Pythagorean Theorem to find the length of the perpendicular. Then I used that value to find the angle of the plane.

<u>Perpendicular (x):</u>

 cos 35° = adjacent/hypotenuse

  cos 35° = x/160

→ x = 160 cos 35°

<u>Angle (θ):</u>

sin θ = opposite/hypotenuse

sin θ = x/320

sin θ = 160 cos 35°/320

    θ = arcsin (160 cos 35°/320)

    θ = 24.2°

Direction is down (south) and left (west)

7 0
3 years ago
Complete the proofs using the most appropriate method. may require CPCTC.
n200080 [17]

For the first one, you did good. I will just suggest a couple things.

Statement              Reason

JK ≅ LM                   Given

<JKM ≅ < LMK        Given  (You did both of these steps so well done.)

MK ≅ MK              Reflexive Property (Your angle pair is congruent but isn't one of the interior angle of the triangles you are trying to prove.)

ΔJMK ≅ ΔLKM        SAS

Problem 2: (You also have a lot of great stuff here.)

Statement          Reason

DE ║ FG              Given

DE ≅ FG              Given

<DEF≅<FGH       Given

<EDF≅<GFH       Corresponding Angles (You don't need to know that F is the midpoint but you got corresponding angle pair which is correct.)

ΔEDF≅ΔGFH        ASA

<DFE≅<FHG       CPCTC  

3 0
3 years ago
The company is building a scale model of the theater's main show tank for an investor's presentation. Each dimension will be mad
Ede4ka [16]

Answer:

This means the mock-up tank has a volume 216 times smaller than the initial tank.

Step-by-step explanation:

The ratio between volume is given by

\frac{V_2}{V_1}=\frac{(1/6)L^{3} }{L^{3}}  =\frac{1}{216}

This means the mock-up tank has a volume 216 times smaller than the initial tank.

5 0
3 years ago
Read 2 more answers
Find the difference of 259.63 and 154.21
Ne4ueva [31]

Answer:

105.42

Step-by-step explanation:

       

       259.63

        <u>154.21</u>

         105.42

3 0
3 years ago
What value of x is in the solution set of 2(3x - 1) &gt; 4x - 6?
Dmitriy789 [7]

Answer:

-1

Step-by-step explanation:

Distribute

6x - 2 >= 4x - 6

2x >= -4

x >= -2

8 0
3 years ago
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