1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Schach [20]
2 years ago
11

Can someone help me? ​

Mathematics
1 answer:
zimovet [89]2 years ago
5 0

Answer:

61.538

Step-by-step explanation:

You might be interested in
There is a lightning rod on top of a building. From a location 500 feet from the base of the building, the angle of elevation to
Kitty [74]
<h2>Hello!</h2>

The answer is:

The height of the  lightning rod is 27.4 feet.

<h2>Why?</h2>

To solve the problem, we need to use the given information about the two points of observation, since both are related (both finish and start at the same horizontal distance) we need to write to equations in order to establish a relationship.

So, writing the equations we have:

We know that the angle of elevation from the base of the buildings is 36°

Also, we know that from the same location, the angle of elevation to the top of the lightning rod is 38°.

Using the information we have:

To the top of the building:

tan(\alpha )=\frac{DistanceToTheTopOfTheBuilding}{BuildingBase}\\\\tan(36\°)=\frac{DistanceToTheTopOfTheBuilding}{BuildingBase}

To the top of the lightning rod:

tan(\alpha )=\frac{DistanceToTheTopOfTheLightningRod}{BuildingBase}\\\\tan(38\°)=\frac{DistanceToTheTopOfTheLightningRod}{BuildingBase}

Now, isolating we have:

tan(36\°)=\frac{DistanceToTheTopOfTheBuilding}{BuildingBase}\\\\DistanceToTheTopOfTheBuilding=tan(36\°)*BuildingBase \\\\DistanceToTheTopOfTheBuilding=tan(36\°)*500feet=363.27feet

Also, we have that:

tan(38\°)=\frac{DistanceToTheTopOfTheLightningRod}{BuildingBase}\\\\DistanceToTheTopOfTheLightningRod=tan(38\°)*BuildingBase\\\\DistanceToTheTopOfTheLightningRod=tan(38\°)*500feet=390.64feet

Therefore, if we want to calculate the height of the lightning rod, we need to do the following:

Let "x" the distance to the top of the building and "y" the distance to the top of the lightning rod, so:

LightningRodHeight=y-x=390.64feet-363.27feet=27.37feet

Rounding to the nearest foot, we have:

LightningRodHeight=y-x=390.64feet-363.27feet=27.37feet=27.4feet

Hence, the answer is:

The height of the lightning rod is 27.4 feet.

Have a nice day!

5 0
3 years ago
50 points for answer.
noname [10]

Answer:

Point C: (4, 0)

Step-by-step explanation:

Parallelograms are quadrilaterals with two pairs of parallel sides, this means they will have the same slope between two line segments.

point slope form between two points:  y - y1 = m (x - x1)

point A (2, 6) and D (4,4):

slope: point form, 6 - 4 = m(2 - 4)

2 = -2m

m (slope)  = \frac {2}{-2} = \frac {Change in X position}{ Change in Y position}

now that you know the change in position, apply this to vertice B to get the position of the final vertice.

B(2, 2)

C (2 +2, 2-2) = C(4, 0)

The final position of C vertice for parrallelogram A(2,6), B(2,2), D(4,4) will be C(4,0)

5 0
2 years ago
Read 2 more answers
What is the solution of the equation<br> √3x+2=√2x-2
MakcuM [25]

Step-by-step explanation:

\sqrt{3 x -  \sqrt{2x = 4} }

7 0
2 years ago
Element X decays radioactively with a half life of 9 minutes. If there are 890 grams of Element X, how long, to the nearest tent
elena-s [515]

Answer:

13.18651685

13.9

Explain:

890-238=652
652/890=0.7325842697 (Find out the percentage)

We know that 1 gram of Element X will be fully decayed in 18 minutes and half of it in 9 minutes.

0.7325842697x18=13.18651685

As you see 18/13.18651685 will equal to 18 (not exactly since it is rounded)

And of course we need to round it to nearest tenth. So the answer would be 13.9!

3 0
2 years ago
Joseph is ordering pizza for himself and 15 friends. If each of them wants 14
kicyunya [14]
I think it is 210
because 15x14=210
4 0
2 years ago
Other questions:
  • This year, a gram planted 400,000 corn stalks.last year, the farm planted 275,650 corn stalks how many more corn stalks did the
    14·1 answer
  • F(x)=2x+1 and g(x)=x^2-7, find (f g) (x)
    13·1 answer
  • There are 5/7 as many barrettes as hair ties in Sasha's hair supplies. There are 5/8 barrettes as hair bands in her supplies. Wh
    13·2 answers
  • Combine like terms to simplify the expression below 5y+8x-y+12x
    8·1 answer
  • Use the drawing tools to graph the solution to this system of inequalities on the coordinate plane. y &gt; 2x + 4 x + y ≤ 6
    8·2 answers
  • In 1993, funding for a program increased by 0.79 billion dollars from the funding in 1992. In 1994, the increase was 0.49 billio
    13·1 answer
  • I need help people please help me
    5·1 answer
  • I need help with this now pls!!
    13·1 answer
  • PLZ HWELP :( :(
    14·1 answer
  • What principle will amount to $35000 if invested at 6.5% compounded quarterly for 5 year?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!