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Juliette [100K]
4 years ago
12

In the diagram, the radius of the outer circle is 2x cm and the radius of the inside circle is 6 cm. The area of the shaded regi

on is 220π cm2. What is the value of x? Enter your answer in the box.
Mathematics
1 answer:
Alexeev081 [22]4 years ago
7 0
The area of a circle is <span>πr²
the outer circle area = </span><span>π 4x²
the inside circle area = </span>π.6²=36<span>π
</span>the outer circle area - <span>the inside circle area = </span><span>he shaded region
</span>π 4x² - 36π =<span>220π cm2 it implies x²-9 =55 and x²=64, and x =sqrt(64)=8
the value of x is 8</span>
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Complete the square on the following quadratic x2+10x+9=0
kakasveta [241]
Given a quadratic equation x^{2} +ax+c=0

1. the first thing we do when we want to compete the square, is write the coefficient of x as 2 times a number.

In our case the coefficient of x is 10, so we write 10 as 2*5

2. then we write + 5^{2} and - 5^{2} to the expression:

x^{2} +2*5*x+ 5^{2} -5^{2}+9=0

(x^{2} +2*5*x+ 5^{2}) -25+9=0

(x+5)^{2}-16=0



Answer: (x+5)^{2}-16=0
8 0
3 years ago
Please help ASAP!!!!!!!!!
algol [13]

Answer:

A = 23.6 units^2

Step-by-step explanation:

Let the base be 8 (as shown).

Find the height of the triangle:   Find the supplement of the 100 degree angle; it is (180 - 100), or 80 degrees.  The side "opposite" this 80-degree angle is the height of the triangle:

   

                               height      

sin 80 degrees = ---------------

                                    6

and so the height of the triangle is h = 6 sin 80 degrees, or 5.91 units.

The area of the triangle is found using A = (1/2)(base)(height), which here amounts to:

A = (1/2)(8 units)(5.91 units), or

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3 0
3 years ago
Which expression represents a<br> positive integer?<br> F. – 6²<br> H. (-5)<br> G. (-3)<br> 1.-23
marta [7]
F -6*-6 = 36 which is a positive interger
3 0
3 years ago
Is 5 1/4 divided by 3 1/2 the same as 3 1/2 divided by 5 1/4?
sashaice [31]

Answer:

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4 0
3 years ago
Solve for r 5(r-10)= -51
Sloan [31]

Answer:

r= -1/5

Step-by-step explanation:

Step 1: Remove the parentheses (5r-10= -51)

Step 2: Move the constant to the right-hand side and change the sign (5r= -51 + 50)

Step 3: Calculate the sum of -51 +50 (5r = -1)

Last Step: Divide both sides by the equation by 5 (r = -1/5)

4 0
3 years ago
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