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zysi [14]
2 years ago
15

In the figure, the area of the shaded region is 224π cm^2.

Mathematics
2 answers:
Mademuasel [1]2 years ago
7 0
Here is my take... I'm getting x = 10 as an answer.  Here was my approach.  

Overall: the area of the large circle minus the area of the small circle will give the area of the shaded region.. the following is how this looks mathematically:

Recall: Area of a circle is defined by πr² and I will be using 'x' as the radius of the smaller circle.  So:
324π is the area of the large circle and (x)²(π) represents the area of the smaller circle:  

Now 324π - x²(π) = 224π
or,  324 - x² = 224
or x² = 100
and now you can see x = 10

Anna007 [38]2 years ago
4 0
I think the answer is 7 if i am not mistaking 
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IrinaVladis [17]

Answer:

Length of the room is   180 ft

Step-by-step explanation:

We have a rectangular room with dimensions:

width  =  70  ft       and  length    "x" (unknown)

Perimeter of a rectangle   is   2*w  +  2*x    and according to problem statement 500 ft of lights will fit exactly in room perimeter then:

2*70  +  2*x   =  500

140  + 2*x  =  500

2*x  =  500 - 140

2*x  = 360

x  = 360/2

x  =  180  ft

5 0
3 years ago
Question 20 fast please
kipiarov [429]

Answer:

Square root of 4 is 2

so  1+\frac{[1+\sqrt{2x-1]}^2 }{4}=4

frac{[1+sqrt{2x-1]}^2 }{4}=3

so 1+sqrt{2x-1]}^2=12

so 1+sqrt{2x-1}=V12

sqrt{2x-1}=V12-1

2x-1=(V12-1)^2=12-2V12+1=13-2V12

2x=13+1-2V12

2x=14-2V12

x=7-V12

x=7-2V3

I put an attachment to explain better

   

Step-by-step explanation:

6 0
3 years ago
Evaluate: 11 + sqrt(-4 + 6×4÷3)
Murrr4er [49]

Answer:

11+\frac{2\sqrt{15}}{3}

Step-by-step explanation:

11 + \sqrt{(-4 + 6\times4\div3)} \\\\11+\sqrt{\frac{-4+6\times \:4}{3}}\\\\\sqrt{\frac{-4+6\times \:4}{3}}=\frac{2\sqrt{5}}{\sqrt{3}}\\\\=11+\frac{2\sqrt{5}}{\sqrt{3}}\\\\\frac{2\sqrt{5}}{\sqrt{3}}=\frac{2\sqrt{15}}{3}\\\\=11+\frac{2\sqrt{15}}{3}

3 0
2 years ago
Factor the expression. 2x^2-7x-15
lutik1710 [3]

Answer:

Factor by grouping

(2x+3) (x-5)

Step-by-step explanation:

3 0
3 years ago
I need help with this please
Volgvan

Answer: No she is not.

Step-by-step explanation: The correct answer is 7.25 F, because she just put them both as positives. When you have a negative it takes away from the total, so how I think of it is you subtract from the positive number, so you could just do 11.75-4.5. Hope this helped!

7 0
3 years ago
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