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motikmotik
3 years ago
13

The angle of elevation from a ship to a

Mathematics
1 answer:
GREYUIT [131]3 years ago
7 0

Answer:

Step-by-step explanation:

The angle we are given is 2° and we are given the opposite leg, 135 ft. We are trying to find the hypotenuse length- the diagonal distance from the ship to the lighthouse.

So, we use SOHCAHTOA with sine:

sin(2)=\frac{opp}{hyp}= \frac{135}{x}

x = \frac{135}{sin(2)} = 3868.251 ft

Keep in mind that the angle is in degrees. Also, the number is large because of the extremely short angle.

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The equation for the speed/distance
asambeis [7]

Step-by-step explanation:

S = 93 log (d) + 65; S = wind speed; d = distance traveled by tornado

A) tornado travels 130 miles = d; find S

S = 93 log10(130) + 65

S = 261.6 mph rounds up to 262 mph

7 0
3 years ago
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Please help!!!! Find X and Y
Rudik [331]

Answer: X=15 , Y=15\sqrt{3}

Step-by-step explanation:

This triangle is a 30, 60, 90 so that means it would be - a, 2a, a\sqrt{3} on each side, so add that all together and you get x-15 and y-15\sqrt{3}

5 0
4 years ago
4(5x-2)=2(9x+3)<br> help please!<br> 12 points and<br> brainliest
photoshop1234 [79]

Answer:

x = 7

Step-by-step explanation:

Given

4(5x - 2) = 2(9x + 3) ← distribute parenthesis on both sides

20x - 8 = 18x + 6 ( subtract 18x from both sides )

2x - 8 = 6 ( add 8 to both sides )

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x = 7

8 0
3 years ago
Apply the Pythagorean Theorem to find the distance between points A and B.
irinina [24]

Answer:          

  Properties of a right tangle can be created in  a Coordinate Plane

  Distance between two points A and B are shown as below

Step-by-step explanation:

Find distance between two point using Pythagorean Theorem.

Properties of right triangles and creating right triangle as a coordinate Plane.

Suppose two point are drawn in triangle containing value of  (-2 , 4 ) and (-2, -2)

then

In (-2 , 4 ) and (-2,-2)

taking y-values that is  4 and -2

find difference between them such as

    4-(-2) = 6

Distance is (-2,4) is 6 unit from (-2,-2)

We can also find unit length of A and B

Side A:   (-1, 2) and (3,2)

      3-(-2)  = 5

side A is 5 unit in length

Side B : (-2,2) and (-2,-1)

      2 - (-1) = 3

Side B is 3 unit in length

7 0
3 years ago
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HELP ME PLEASE LOVE THOU &lt;3
12345 [234]

Answer:

100\pi

Step-by-step explanation:

Total Surface Area of cylinder = Lateral Surface Area + Area of both circle bases.

Lateral Surface Area = Circumference of Circle \times Height

Lateral Surface Area = (\pi \times2\times5) \times 5=50\pi

Area of one circle base: \pi (5)^{2} =25\pi

Area of both circle bases: 25\pi \times2=50\pi

Total Surface Area = 50\pi +50\pi =100\pi

7 0
3 years ago
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