All categories

3 years ago

Which equation would you use to find how high the bird is flying

Mathematics

1 answer:

lisov135 [29]3 years ago

6 0

Hi there! The fourth answer is correct.

In the picture we have to deal with facts:
1. The angle of 45°
2. The length of the opposite side
3. The length of the adjacent side.

Since we have to use the opposite and the adjacent side, we have to use the tangent of the angle. In a formula:
$\tan( \alpha ) = \frac{opposite}{adjecent}$

Filling in this formula, brings us to the following answer.
$\tan(45) = \frac{x}{1100}$

You might be interested in

An open top rectangular box is to be made from a rectangular piece of metal that is 3cm wide and 8cm long by cutting a square fr

Tanzania [10]

Answer:

x = 0.67 cm

Step-by-step explanation:

Let call " x " the length of the side of the square to cut from each corner

then the sides of the future box would be

L = 8 - 2x and D = 3 - 2x

The volume of the box is:

V = L*D*x

And such volume as function of x is

V(x) = ( 8 - 2x ) * ( 3 - 2x ) * x ⇒ V(x) = ( 24 - 16x - 6x + 4x²) * x

V(x) = 4x³ - 22x² + 24x

Taking derivatives on both sides of the equation we get:

V´(x) = 12x² - 44x + 24

Then V´(x) = 0 ⇒ 12x² - 44x + 24 = 0 ⇒ 3x² - 11x + 6 = 0

We got a second degree equation solving for x

x₁,₂ = [11 ± √ 121 - 72 ] / 6

x₁ = ( 11 + 7 ) / 6 x₁ = 3 we dismiss this solution since according to problem statement one side would become negative

Then

x₂ = ( 11 - 7 ) / 6 ⇒ x₂ = 4/6 ⇒ x₂ = 0.67 cm

As the second drivative is smaller than 0 then there is a maximun in that point

V´´(x) = 12x - 44 < 0

Sides of the box

L = 8 - 2x ⇒ L = 8 - 2*(0.67) ⇒ L = 8 - 1.34 ⇒ L = 6.66 cm

D = 3 - 2x ⇒ D = 3 - 2* (0.67) ⇒ D = 3 - 1.34 ⇒ D = 1.66 cm

Heigh = x = 0.67 cm

V(max) = 6.66*1.66*0.67

V(max) = 7.41 cm³

5 0

3 years ago

How many solutions does the following equation have? |4x + 12| = 0

liq [111]

Only -3 satisfies this equation. so i think it has only one solution! hope it will help you..

6 0

3 years ago

Read 2 more answers

A number,x, decreased by the sum of 2x and 5 represent what equation

Annette [7]

We set up this expression that we have to simplify. Although, to make it an equation, we set the expression given equal to the variable y, making this a function too.
y=x-(2x+5)
distribute the negative symbol
y=x-2x-5
combine like terms
y=-x-5
and that is our final answer

7 0

4 years ago

Read 2 more answers

Join our among code: RVYNOF

Iteru [2.4K]

Answer:

i will if you mark this brainliest

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Me voy a comprar una barra de cortinas. Como vivo en un doceavo piso, me interesa saber cuál es la longitud máxima que puedo met

iren2701 [21]

Answer:

The maximum length of the bar I could fit in the elevator is 2.87 meters.

Step-by-step explanation:

The question in English is

I'm going to buy a curtain rod. Since I live on a twelfth floor, I'm interested in knowing the maximum length I can put in the elevator.

So I take out my pocket tape measure, which only measures up to a meter and I measure the floor which turns out to be a square of 1m x 1m, but for the height it doesn't give.

However, there's a sticker on the lift box that says it has a capacity of 2,500 litres.

With all this information, what is the maximum length of bar that would fit me in the elevator?

step 1

Find the height of the elevator

we know that

The elevator has a capacity of 2,500 litres.

$1\ m^3=1,000\ L$