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kompoz [17]
3 years ago
11

Each leg of a 45-45-90 triangle has a length of 6 units. What is the length of its hypotenuse?

Mathematics
1 answer:
andreyandreev [35.5K]3 years ago
5 0
Use the Pythagorean theorem:
(\hbox{one leg})^2+(\hbox{the other leg})^2=(\hbox{hypotenuse})^2 \\
6^2+6^2=x^2 \\
6^2 \times 2=x^2 \\
\sqrt{6^2 \times 2}=x \\ \sqrt{6^2} \times \sqrt{2}=x \\ 6\sqrt{2}=x

 
The length of the hypotenuse is 6√2 units.
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F(x) = -9x^2 - 7x + 8
f(5) = -9(5^2) - 7(5) + 8
f(5) = -9(25) - 35 + 8
f(5) = - 225 - 35 + 8
f(50 = - 252 <==
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3 years ago
Which angles are congruent to each other
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Answer:

Step-by-step explanation:

um

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2 years ago
en una fiesta hay 16 personas de las cuales el 25% son mujeres, luego llegan mas mujeres a la fiesta, de tal manera que ahora lo
coldgirl [10]

Answer:

<u>English (Ingles):</u>
10 Women come to the party.

<u>Spanish (Espanol):</u>

10 Las mujeres vienen a la fiesta.

Step-by-step explanation:

<u>English (Ingles):</u>

We know that there are 16 people there at the start. 25% of those people are women. We can work out by subtracting 100 by 25 that 75% of the p-eople there are men. We need to do 25% of 16 so we can work out how many men and women there are there.

So we find 10% of 16 which is 1.6 then we take off 5% of 1.6 which is 0.08. We then double 1.6 to get 20% which gives us 3.2. We now add on the 5% to make it 25% which gives us 4.

This means 25% of 16 is 4.

This tells us that there are 4 women at the party and 12 men as 16 - 4 = 12.

It now says that more women arrive which makes the percentage for men go down to 60%. We now need to add 5% on to the 25% of women there are which will tell us how many more women there are now and it will let us work out how many women and men there are in total now.

As we can't do this without it giving us 4.8, we know that 25% of people is 4 women which means 50% of people would be 8 women and we make an estimate of how many women have joined which gives us 6 people which means the total amount of women at the party is 10.

<u>Spanish (Espanol):</u>

<u />

Sabemos que hay 16 personas allí al principio. El 25% de esas personas son mujeres. Podemos calcular restando 100 por 25 que el 75% de las personas son hombres. Necesitamos hacer el 25% de 16 para poder calcular cuántos hombres y mujeres hay allí.

Así que encontramos el 10 % de 16, que es 1,6, luego quitamos el 5 % de 1,6, que es 0,08. Luego duplicamos 1,6 para obtener el 20%, lo que nos da 3,2. Ahora sumamos el 5% para convertirlo en 25%, lo que nos da 4.

Esto significa que el 25% de 16 es 4.

Esto nos dice que hay 4 mujeres en la fiesta y 12 hombres como 16 - 4 = 12.

Ahora dice que llegan más mujeres lo que hace que el porcentaje de hombres baje al 60%. Ahora necesitamos agregar un 5% al ​​25% de mujeres que hay, lo que nos dirá cuántas mujeres más hay ahora y nos permitirá calcular cuántas mujeres y hombres hay en total ahora.

Como no podemos hacer esto sin que nos dé 4.8, sabemos que el 25% de las personas son 4 mujeres, lo que significa que el 50% de las personas serían 8 mujeres y hacemos una estimación de cuántas mujeres se han unido, lo que nos da 6 personas que significa que la cantidad total de mujeres en la fiesta es 10.

4 0
1 year ago
How much interest did you gain if you invested in a retirement plan with a rate of 2.5% over 42 years? Your monthly deposits tot
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3 years ago
The open tray shown in the illustration is to be manufactured from a 18-by-19-inch rectangular sheet of metal by cutting squares
defon
Answer: You should cut out squares that are 4 inches by 4 inches.

One of the ways to do this problem is write and graph an equation. We can write an equation for the volume of this shape and then use a graphing calculator to graph it. If we look where the graph crosses 440, we will have our solution.

The volume needs to be 440. If we let x equal the side of the square that is cut out, we have the following dimensions.

Length = 19 - 2x
Width = 18 - 2x
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Volume = LWH

So our equation could be: y = (19 - 2x)(18 - 2x)x

If you graph that equation, it will intersect at the point (4, 440). Therefore, our square could be 4 by 4 inches.
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2 years ago
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