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2 years ago

Find the indicated side of the right triangle.

Mathematics

1 answer:

Advocard [28]2 years ago

8 0

Answer:

?=9

Step-by-step explanation:

We have a special right triangle, the 45-45-90 triangle.

In a 45-45-90 triangle, the side lengths are x, and the hypotenuse is x√2.

Since we know that the side length is 9, this means that:

$x=9\\\text{Hypotenuse}=x\sqrt2\\\text{Hypotenuse}=9\sqrt2$

The ? is 9.

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Which graph represents the solution set of this inequality?<br><br> please help!!!

miv72 [106K]

Answer:

C is the correct answer due to two-step inequality process

Step-by-step explanation:

Your inequality is: 5a + 18 < -27

First, you must remember that the < or > shall not be shaded in.

You could automatically eliminate answer A.

Now you need to do two-step inequalities which is the same thing as two-step equations but with an inequality sign.

5a + 18 < -27

5a < -27-18

5a < -45

**Now, here's something important: If you are multiplying with negatives while dealing with inequalities you must switch the sign to its opposite.

-9 > a

You need to find a number line that has numbers less than -9. It could be -10, -11, -12, -122, etc.

C is the correct answer.

3 0

1 year ago

Write the equation of the ellipse with foci at (-2,2) and (4,2) and major axis of length 10 *

Luda [366]

Answer:

The answer to your question is $\frac{(x - 1)^{2}}{25} + \frac{(y - 2)^{2}}{16} = 1$

Step-by-step explanation:

Data

Foci (-2, 2) (4, 2)

Major axis = 10

Process

1.- Plot the foci to determine if the ellipse is vertical or horizontal. See the picture below.

From the graph we conclude that it is a horizontal ellipse.

2.- Determine the foci axis (distance between the foci)

2c = 6

c = 6/2

c = 3

3.- Determine a

2a = 10

a = 10/2

a = 5

4.- Determine b using the Pythagorean theorem

a² = b² + c²

-Solve for b

b² = a² - c²

b² = 5² - 3²

b² = 25 - 9

b² = 16

b = 4

5.- Find the center (1, 2) From the graph, it is in the middle of the foci

6.- Find the equation of the ellipse

$\frac{(x - 1)^{2}}{5^{2}} + \frac{(y - 2)^{2}}{4^{2}} = 1$

$\frac{(x - 1)^{2}}{25} + \frac{(y - 2)^{2}}{16} = 1$

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2 years ago

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Inessa [10]

Answer:

I believe it's 240°

Step-by-step explanation:

It's been awhile since I've done this but I believe that's the answer, here's a picture of a pug. Smile and have a good day!

5 0

2 years ago

At a deli counter, someone bought 1.6 pounds of ham

Naddik [55]

Answer:

whats the question exatly?

Step-by-step explanation:

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3 years ago

What are the measurements for all the numbered angles

Scorpion4ik [409]

angle 1, 3, 5, 7 = 70°

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3 years ago