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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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TEA [102]
Vaughn's net income will be the gross income minus any deductions. (2% of 785 is 15.70, 1% of 785 is 7.85, and 3% of 785 is 23.55.)

It will be easier to add together all the deductions, and then subtract that sum from 785:

42.25 + 90.33 + 15.70 + 7.85 + 23.55 = 179.68
785 - 179.68 = 605.32
3 0
4 years ago
If the discriminant is 16 in a quadratic equation what is true about its solutions
olganol [36]
If the discriminant is a positive number, there will be 2 possible solutions. If you replace the entire section of b²-4ac with 16, you will see that the equation becomes; (-b+-√16)/2a --> leading to an answer with the + and another with the -. 

If the discriminant is 0, there will be 1 possible solution, (again replace this into the discriminant value) (-b)/2a ---> this formula is used to also find the x coordinates of a vertex, fyi. 

If the discriminant is a negative number, there will be no solution (since squareroot of a negative number is not possible) 

Hope I helped :) 
8 0
3 years ago
Next consider what happens when two of these functions are composed. Suppose g identifies ng regions of (0, 1)d onto (0, 1)d and
irina [24]

n^{2}fg is regions of f ◦ g(·).

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

When you multiply two functions together, you'll get a third function as the result, and that third function will be the product of the two original functions.

For example, if you multiply f(x) and g(x), their product will be h(x)=f.g(x), or h(x)=f(x)g(x).

Here we have two functions, f identifies n f regions of (0, 1)d onto (0, 1)d which is equivalent to f(x) = n f. And, g identifies n g regions of (0, 1)d onto (0, 1)d which is equivalent to g(x)= n g. Now,

⇒ ( f × g ) (x ) = f(x) × g(x)

⇒( fg )(x) = f(x).g(x)\\( fg )(x) = nf.ng\\(fg)(x) = n^{2}fg

Therefore, n^{2}fg is regions of f ◦ g(·).

8 0
4 years ago
Help!! I WILL GIVE BRAINLIEST I NEED HELPPPPPPPPPPPPPPPPPPP PLEASE PLEASE PLEASE PLEASEEEEEEEEEEEEE IM DEADD I REALLY NEED HELP
Juliette [100K]

Answer:

arc axb=4.938

Step-by-step explanation:

to find the  measure of arc AXB find angle P first

length of the arc=rФ

in triangle APQ sin angle APQ= opp/hyp=AQ(radius)/PQ=5/√5+√21

in traingle PQB sin angle BPQ= opp/hyp.=5/√5+√21

angle P"

2arcsin 5/√5+√21= 94.324 degrees=(π*94.324)/180=1.64626 rad.

arc AXB=Фr (Ф=94.324 , r=3)

arc axb=4.938

7 0
3 years ago
PLEASE HELPPPP Instructions: State what additional information is required in order to know that the triangles are congruent for
ehidna [41]

Answer:

not sure but does it say line UW are common or shared

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
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