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Mekhanik [1.2K]
3 years ago
11

An observer is located at 900 feet from a building. The oberver notices a helicopter flying at a 49° angle of elevation from his

line of sight. How high is the helicopter flying over the building
Mathematics
1 answer:
klio [65]3 years ago
5 0

tan(49)=h/900 or h = 900 x tan(49)

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In the diagram, FG=34, GH=288, and HJ=256. Is GH tangent to circle F?
Anastaziya [24]

Answer:

No

Step-by-step explanation:

If GH is tangent to circle F, then it forms a right angle with FG.  Therefore, triangle FGH would be a right triangle and would satisfy Pythagorean theorem.

34² + 256² = 288²

66692 = 82944

The sides are not a Pythagorean triple, so GH is not tangent to the circle.

6 0
3 years ago
The perimeter of the triangle below is 97 cm.
Sloan [31]

Answer:

The length of EF = x = 18 cm

Option A is correct.

Step-by-step explanation:

Ware given perimeter of triangle = 97 cm

We need to find length of EF = x = ?

The length of EG = x+7

The length of EF = x

The length of GF = 3x

The formula used is: Periemter \ of \ triangle= Sum \ of \ all \ sides \ of \ triangle

Putting values and finding x i.e length of EF

Periemter \ of \ triangle= Sum \ of \ all \ sides \ of \ triangle\\97=x+7+x+3x\\97-7=5x\\5x=90\\x=\frac{90}{5}\\x=18 \ cm

So, value of x=18 cm

The length of EF = x = 18 cm

Option A is correct.

4 0
3 years ago
Will you help me?
Volgvan

Answer:

The length side of the original square banner was 9 ft

Step-by-step explanation:

Let

x-----> the length side of the original square banner

we know that

The new area of the banner is equal to

91=(x+4)(x-2)

Solve for x

91=(x+4)(x-2)\\ \\91=x^{2}-2x+4x-8\\ \\x^{2}+2x-99=0

Solve the quadratic equation by graphing

The solution is x=9 ft

see the attached figure

8 0
3 years ago
What is 3x+6y=16. what do i do please help
DochEvi [55]
Ok, so for this you're likely graphing in y=mx+b format (slope intercept). So to start, you'all first subtract 3x from the equation to get 6y=-3x+16. Now you'll divide the equation by 6 to get y alone. Your final equation will be y=-1/2x+16/6
7 0
3 years ago
Two cars traveled equal distances in different amounts of time. Car A traveled the distance in 4 h, and Car B traveled the dista
Kamila [148]

40mph for Car B I think. 45mph for Car A. 45(mph) times 4(h) is 180(distance) and 40 times 4.5 is also 180. Sorry if I'm wrong.

8 0
3 years ago
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