Which is bigger 2 miles or 3 kilometers

Mathematics

1 answer:

vekshin12 years ago

5 0

I think 2 miles is bigger than 3 kilometers but im not totally sure

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E. 65,124 rounded to the nearset thousand is

saul85 [17]

E. 65,000
f. 99,000
g. 60,000
h. 80,000
I. 900,000
j. 900,000
k.500,000
l. 700,000

6 0

3 years ago

Read 2 more answers

A 20 ft flag pole casts a shadow 32 ft long. What is the angle of elevation of the sun?

Nookie1986 [14]

Answer:

<em>The angle of elevation of the sun is 32°</em>

Step-by-step explanation:

<u>Right Triangles</u>

The flagpole and the ground form a right angle (90°). In triangles with right angles, the trigonometric ratios are satisfied.

Each acute angle has an adjacent leg and an opposite leg. The tangent ratio relates to both legs.

$\displaystyle \tan x=\frac{\text{opposite leg}}{\text{adjacent leg}}$

The opposite leg to angle x is 20 ft and the adjacent leg is 32 ft, thus:

$\displaystyle \tan x=\frac{20}{32}=0.625$

Calculate x by using the inverse tangent:

$x=\arctan 0.625$

$x=32^\circ$

The angle of elevation of the sun is 32°

7 0

3 years ago

Triangle abc is such that ab=4 and ac=8 if m is the midpoint of bc and am=3, what is the length of bc?

zavuch27 [327]

This is an interesting question. I chose to tackle it using the Law of Cosines.
AC² = AB² + BC² - 2·AB·BC·cos(B)
AM² = AB² + MB² - 2·AB·MB·cos(B)
Subtracting twice the second equation from the first, we have
AC² - 2·AM² = -AB² + BC² - 2·MB²

We know that MB = BC/2. When we substitute the given information, we have
8² - 2·3² = -4² + BC² - BC²/2
124 = BC² . . . . . . . . . . . . . . . . . . add 16, multiply by 2
2√31 = BC ≈ 11.1355