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4 years ago

What is the 30-60 degree right triangle theorem?

Mathematics

1 answer:

malfutka [58]4 years ago

5 0

Answer:

It turns out that in a 30,60,90 triangle, you can find the measure of any of the three sides simply by knowing the measure of at least one side in the triangle. The hypotenuse is equal to twice the length of the shorter leg which is the side across from the 30 degree angl

Step-by-step explanation:

You might be interested in

Divide the polynomial x^3+x^2-2x+3 by (x-1)

Anni [7]

Answer:

x² + 2x + (3 / (x − 1))

Step-by-step explanation:

Start by setting up the division:

.........____________

x − 1 | x³ + x² − 2x + 3

Start with the first term, x³. Divided by x, that's x². So:

.........____x²______

x − 1 | x³ + x² − 2x + 3

Multiply x − 1 by x², subtract the result, and drop down the next term:

.........____x²______

x − 1 | x³ + x² − 2x + 3

.........-(x³ − x²)

...........----------

...................2x² − 2x

Repeat the process over again. First term is 2x². Divided by x is 2x. So:

.........____x² + 2x __

x − 1 | x³ + x² − 2x + 3

.........-(x³ − x²)

...........----------

...................2x² − 2x

Multiply, subtract the result, and drop down the next term:

.........____x² + 2x __

x − 1 | x³ + x² − 2x + 3

.........-(x³ − x²)

...........----------

...................2x² − 2x

.................-(2x² − 2x)

.................---------------

.....................................3

x doesn't divide into 3, so that's the remainder.

Therefore, the answer is:

x² + 2x + (3 / (x − 1))

8 0

3 years ago

a. Un equipo de tenis de mesa ganó 21 juegos y perdió 12 juegos, ¿cuál es la razón entre ganados y perdidos?

True [87]

Answer:

The ratio between won and lost is $\frac{7}{4}$

Step-by-step explanation:

The question in English is

A table tennis team won 21 games and lost 12 games, what is the ratio between won and lost?

Let

x ------> the number of games won

y -----> the number of games lost

we have

$x=21\ games$

$y=12\ games$

we know that

To find the ratio divide the number of games won by the number of games lost

$\frac{x}{y}$

substitute the values

$\frac{21}{12}$

Simplify

$\frac{7}{4}$

4 0

4 years ago

IF YOU ARE SMART DO THIS PROBLEM NOT PEOPLE WHO DONT WANN HELP

Alexxandr [17]

Answer:

3.28ft

Step-by-step explanation:

Rectangular Prism Formula:

l*w*d = v

(plug in values)

2.6*1.4*d=11.94

3.64*d=11.94

d = 3.28ft

5 0

3 years ago

I) 43x + 31y = 98 31x + 43y = 50

Neko [114]

There are no solutions to the given system of equations.

Hope this helps.

4 0

4 years ago

Element X decays radioactively with a half-life of eight minutes. If there are 800 g of element X, how long, to the nearest 10th

Harman [31]

Answer: 41.5 min

Step-by-step explanation:

This problem can be solved with the Radioactive Half Life Formula:

$A=A_{o}.2^{\frac{-t}{h}}$ (1)

Where:

$A=22 g$ is the final amount of the radioactive element

$A_{o}=800 g$ is the initial amount of the radioactive element

$t$ is the time elapsed

$h=8 min$ is the half life of the radioactive element

So, we need to substitute the given values and find $t$ from (1):

$22 g=(800 g) 2^{\frac{-t}{8 min}}$ (2)

$\frac{22 g}{800 g}=2^{\frac{-t}{8 min}}$ (3)

$\frac{11}{400}=2^{\frac{-t}{8 min}}$ (4)

Applying natural logarithm in both sides:

$ln(\frac{11}{400})=ln(2^{\frac{-t}{8 min}})$ (5)

$-3.593=-\frac{t}{8 min}ln(2)$ (6)

Clearing $t$ :

$t=41.46 min \approx 41.5 min$ This is the time elapsed

7 0

3 years ago