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3 years ago

9

The figure above shows a square inscribed in a rectangle.

1 answer:

slava [35]3 years ago

8 0

Step-by-step explanation:

first u must find the area of the rectangle.after that,find the area of the square.then you have tu subtract it so that u can get the orange area.

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An angel whose measure is less than 90 is called an acute angel<br>

topjm [15]

Answer:

Yes, the statement is true

Btw, it's an angle not angel

Please mark as brainliest

3 0

2 years ago

Read 2 more answers

Write the equation of the sphere in standard form. x^2 + y^2 + z^2 + 2x − 4y − 6z = 22

madam [21]

The equation $x^{2} +y^{2} +z^{2} +2x-4y-6z=22$ in standard form looks like $(x+1)^{2} +(y-2)^{2} +(z-3)^{2} =(6)^{2}$ .

Given equation of sphere be $x^{2} +y^{2} +z^{2} +2x-4y-6z=22$ .

We are required to express the given equation in the standard form of the equation of sphere.

Equation is basically relationship between two or more variables that are expressed in equal to form. Equation of two variables look like ax+by=c. It may be linear equation,quadratic equation, cubic equation or many more depending on the powers of variables. The standard form of the equation of sphere looks like $x^{2} +y^{2} +z^{2} =r^{2}$ .

The given equation is $x^{2} +y^{2} +z^{2} +2x-4y-6z=22$ .

We have to break 22 which is in right side into various parts according to the left side of the equation.

$x^{2} +y^{2} +z^{2} +2x-4y-6z=-1-4-9+36$

$x^{2} +y^{2} +z^{2} +2x-4y-6z+1+4+9=36$

$x^{2} +1+2x+y^{2}+4-4y+z^{2} +9-6z=36$

$x^{2} +(1)^{2} +2*1*x+y^{2} +(2)^{2} -2*2y+z^{2} +(3)^{2} -2*3z=36$

$(x+1)^{2} +(y-2)^{2} +(z-3)^{2} =(6)^{2}$

Hence the equation $x^{2} +y^{2} +z^{2} +2x-4y-6z=22$ in standard form looks like $(x+1)^{2} +(y-2)^{2} +(z-3)^{2} =(6)^{2}$ .

Learn more about equations at brainly.com/question/2972832

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7 0

1 year ago

Q#1: Suppose that you have two different algorithms for solving a problem. To solve a problem of size n, the first algorithm use

svetlana [45]

Answer:

The one of -[n+2n+3n+4n]/nlne(10) has fewer operations because the value of n is <u>static</u><u>.</u>

The one of n! ( factorial ) is factorised up to n∞ hence has infinity operations.

7 0

3 years ago

the price of a jacket was increased from $140 to $168 what was the percent increase in the price of the jacket

kenny6666 [7]

Subtract to find the amount of the increase:

168 - 140 = 28

The increase in price was $28.

Now divide the amount of increase by the original price.

This will give you a decimal, then multiply the decimal by 100 to get the percent:

28 / 140 = 0.2

0.2 x 100 = 20% increase.

5 0

3 years ago

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Evaluate h-^2g for h=4 and g=32

Lady_Fox [76]

Answer:

$2$

Step-by-step explanation:

The given expression is,

$h^{-2}g$

We apply the laws of indices to rewrite as a positive index to get,

$h^{-2}g=\frac{g}{h^2}$

We substitute

$h=5,g=32$

to obtain,

$=\frac{32}{4^2}$

This simplifies to,

$=\frac{32}{16}=2$

4 0

3 years ago

Read 2 more answers