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Stels [109]
3 years ago
10

A circular patio has a radius of 4 yards. The patio is expanded so that the radius increases by 2 yards.

Mathematics
1 answer:
Alex787 [66]3 years ago
4 0

Answer:

50.29 yards^2

113.14 yards^2

62.85 yards^2

Step-by-step explanation:

Area of a circle = πr²

π = pi = 22/7

r = radius

original area

(22/7) x 4² = 50.29 yards²

New area

radius = 4 + 2 = 6

(22/7) x 6² = 113.14 yards²

Increase in the area of the patio = 113.14 yards² - 50.29 yards²=62.85

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Answer:

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Step-by-step explanation:

it's pretty simple, if u do 96 * 3, it will be that. yw :)

4 0
3 years ago
Read 2 more answers
Can someone explain (with steps) how to rationalize the following expression?
insens350 [35]
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the only irrational part of this expression is the (x+y-2)^(1/2) in the denominator, so, to rationalize this, you multiply the numerator and denominator by the denominator, as well as the other parts of the expression
also, you must multiply the -sqrt(x+y+2) by sqrt(x+y-2)/sqrt(x+y-2) to form a common denominator
(-2)/(x+y-2)^(1/2)-(x+y+2)^(1/2)(x+y-2)^(1/2)/(x+y-2)^(1/2)
(common denominator)
(-2-(x^2+xy+2x+xy+y^2+2y-2x-2y-4))/(x+y-2)^(1/2)
(FOIL)
(-2-x^2-y^2-2xy+4)/(x+y-2)^(1/2)
(Distribute negative)
(-x^2-y^2-2xy+2)/(x+y-2)^(1/2)
(Simplify numerator)
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(Rationalize denominator by multiplying both top and bottom by sqrt)
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6 0
3 years ago
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shusha [124]

Answer:

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Step-by-step explanation:

5 0
2 years ago
If f(x) = x^2 - 3x + 1 over 2, determine f ( 4 ) .
svet-max [94.6K]
F(x)=x^2-3x+1/2, if f(4)
Substitute x with 4, to get
f(x)=x^2-3x+1/2
f(4)=4^2-3(4)+1/2
f(4)=16-12+1/2
f(4)=4+1/2
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7 0
3 years ago
What is the value for y?<br> Enter your answer in the box.<br> y=
serious [3.7K]

Answer:

y =112

Step-by-step explanation:

Given

The attached triangle

Required

Find y

The attached triangle is isosceles; so:

x - 5=34

Also, we have:

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Substitute: x - 5=34

y + 34 + 34=180

Collect like terms

y =- 34 - 34+180

y =112

5 0
3 years ago
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