The Pythagorean theorem is a^2+b^2=c^2 Solve for b.

Mathematics

2 answers:

DaniilM [7]3 years ago

7 0

Answer:

Step-by-step explanation:

rodikova [14]3 years ago

3 0

Answer:

see explanation

Step-by-step explanation:

given

a² + b² = c² ( isolate b² by subtracting a² from both sides )

b² = c² - a² ( take the square root of both sides )

$\sqrt{b^{2} }$ = ± $\sqrt{c^2-a^2}$

b = ± $\sqrt{c^2-a^2}$

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Carlos is a boat dealer who bought a sailor for 11,400 and sold it for 12,711 what percent was his markup on a boat

dangina [55]

So we have 11400 +11400×x=12711
this represents the original price plus some percentage of the original price is equal to the new price. now all we need to do is solve for x
so 11400+11400x=12711
subtract 11400 from each side
11400x=1311 now divide both sides by 11400
x=.115 or about 12%
we can. check by finding 12% of the original price.
11400×.12=1368
now add to 11400
11400+1368=12768 so we are a bit over. this is because it is actually 11.5% just depends on how accurate your answer needs to be

6 0

3 years ago

The perimeter of an equilateral triangle is 12\/3 cm. Find the radius, apothem and area of the equilateral triangle.

Irina-Kira [14]

Answer:

Radius - 4

Apothem - 2

Area - $12\sqrt{3}$ or 20.8

Step-by-step explanation:

Try to draw out my explanation so you know what this looks like.

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This is an equilateral triangle, so all sides are the same length. The perimeter can be divided by 3 to get each side length...

$12\sqrt{3} \div3 = 4\sqrt{3}$

Now that we know the side lengths, we can get this started!

~~~~

Now, an equilateral triangle has angles that all equal 60 degrees. We can bisect this into TWO special case triangles of measures 90-60-30.

4 times the square root of 3 will be the hypotenuse, and the smallest leg is always half of that. The larger leg is represented as the small leg times the square root of 3.

$Small=2\sqrt{3} \\Hypotenuse = 4\sqrt{3} \\Long =6$