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Snezhnost [94]
2 years ago
12

11.

Mathematics
2 answers:
yKpoI14uk [10]2 years ago
6 0

\\ \tt\leadsto tan\theta=\dfrac{Perpendicular}{Base}

\\ \tt\leadsto tan29=\dfrac{h}{400}

\\ \tt\leadsto h=400tan29

\\ \tt\leadsto h=221.7ft

dangina [55]2 years ago
4 0

Answer:

221.7 ft (nearest tenth).

Step-by-step explanation:

The situation can be modeled as a right triangle where the base is the distance between the observer (O) and the building (B), and the height is the distance between the base of the building (B) and the kite (K).

To find the <u>height of the kite</u>, use the tan trigonometric ratio.

<u>Tan trigonometric ratio</u>

\sf \tan(\theta)=\dfrac{O}{A}

where:

  • \theta is the angle
  • O is the side opposite the angle
  • A is the side adjacent the angle

Given values:

  • \theta = 29°
  • O = h
  • A = OB = 400 ft

Substitute the given values into the formula and solve for h:

\implies \sf \tan(29^{\circ})=\dfrac{h}{400}

\implies \sf h=400\tan(29^{\circ})

\implies \sf h=221.7236206...

Therefore, the height of the kite flying over the building is 221.7 ft (nearest tenth).

Learn more about angles of elevation here:

brainly.com/question/27933160

brainly.com/question/27938731

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According to the data in the figure, find the value of x and y.
drek231 [11]

Answer:

This is a educated guess, but x is 80 and y is 100.

Step-by-step explanation:

My logic here is that the triangles are the same because of all the congruent lines and stuff. But from there, you know that both the right and the left side are 40 degrees. You know the total degree of a triangle is 180 so 180 - 40 - 40 is 100. So the final angle is 100. If you look at x, its on the outside, but on a line. If you can imagine a circle, its half, so its a 180 degrees total. Then its 180 = x + 100. So x is 80. And then by that same logic its y = 100.

6 0
2 years ago
You have an initial amount of $55 in a savings account and you deposit an equal amount into your account each week. After 6 week
bonufazy [111]
Given:
initial deposit = 45
total deposit = 105
w = weekly deposit
x = no. of weeks = 5 weeks
y = amount in dollars
45 + 5w = 105
45 + 5w = 105
5w  = 105 - 45
5w =  60
w = 60/5
w = $12 weekly deposit.

y = $45 + $12x  
<span>x = (y - 45)/12

</span>To check:
y = 45 + 12(5)
y = 45 + 60
y = 105 total deposit in 5 weeks

x = (105-45)/12
x = 60/12
x = 5 weeks

I hope this help
8 0
3 years ago
Read 2 more answers
What is 8,000 x 10 pls help
Juliette [100K]

Answer:

80,000

Step-by-step explanation:

because you are just adding a extra zero

7 0
3 years ago
Which phrase describes the variable expression z+ 8?
a_sh-v [17]

9514 1404 393

Answer:

  A. z increased by 8

Step-by-step explanation:

When a positive value is added, the original value (z) is <em>increased</em>.

  z + 8   ⇔   z increased by 8

5 0
3 years ago
Math question need help with substation please?
Juliette [100K]

<em>2 solutions</em>

<em>X= 16</em>

<em>X=49</em>

Step-by-step explanation:

<em>original equation</em>

<em>x-11√x+28 = 0</em>

<em>   Isolate</em>

<em>     -11√x = -x-28+0</em>

<em>  Tidy up</em>

<em>     11√x = x+28</em>

<em>  Raise both sides to the second power</em>

<em>     (11√x)2 = (x+28)2</em>

<em>After squaring</em>

<em>     121x = x2+56x+784</em>

<em> Plug in 49 for  x </em>

<em>      11√(49) = (49)+28</em>

<em>Simplify</em>

<em>      11√49 = 77</em>

<em>      Solution checks !!</em>

<em>     Solution is:</em>

     x = 49

<em>Plug in 16 for  x </em>

<em>      11√(16) = (16)+28</em>

<em>Simplify</em>

<em>      11√16 = 44</em>

<em>      Solution checks !!</em>

<em>     Solution is:</em>

     x = 16

3 0
3 years ago
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