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3 years ago

The shorter leg of a 30 60 90 triangle is a 4. how long is the hypotenuse?

Mathematics

1 answer:

Karolina [17]3 years ago

4 0

Check the picture below.

so if x = 4, then 2x? surely you know that.

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A mountain railway AB is of length 864m and rises at an angle of 120° to the horizontal.

Ainat [17]

Answer:

The height above sea level at B is approximately 1,604.25 m

Step-by-step explanation:

The given length of the mountain railway, AB = 864 m

The angle at which the railway rises to the horizontal, θ = 120°

The elevation of the train above sea level at A, h₁ = 856 m

The height above sea level of the train when it reaches B, h₂, is found as follows;

Change in height across the railway, Δh = AB × sin(θ)

∴ Δh = 864 m × sin(120°) ≈ 748.25 m

Δh = h₂ - h₁

h₂ = Δh + h₁

∴ h₂ ≈ 856 m + 748.25 m = 1,604.25 m

The height above sea level of the train when it reaches B ≈ 1,604.25 m

4 0

2 years ago

What is the distance between Nicholas’s school and the post office?

Lelechka [254]

Answer:

B. 5.2

Step-by-step explanation:

:-[ you will know to have brainly:-) 

4 0

3 years ago

Which equations below represent lines that are perpendicular to the line that contains (1, - 2) and (3,4)^ Select all that apply

Nady [450]

Answer:

Select all the lines with slope $-\frac{1}{3}$ .

Step-by-step explanation:

Use the slopes to help you answer this kind of questions.

The slope of the line going through: (1, - 2) and (3,4) is given by:

$m=\frac{y_2-y_1}{x_2-x_1}$

We plug in the coordinates to get:

$m=\frac{4--2}{3-1}=\frac{6}{2}=3$

All lines that are perpendicular to this line has slope $-\frac{1}{3}$ .

3 0

3 years ago

Work out these approximate conversions.

Anvisha [2.4K]

Answer:

0.002 km

Step-by-step explanation:

5 0

2 years ago

Let M be the midpoint of LN. If LM = 9 inches what must be the length of LN? (draw a picture if needed!)

Pani-rosa [81]

Answer:

LN = 18

Step-by-step explanation:

hope that's the answer..

6 0

3 years ago