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Katarina [22]
3 years ago
5

A game at the state fair has a circular target with a radius of 10.7 cm on a square board measuring 30 cm on a side. Players win

prizes if they throw a dart and hit the circular area only.
What is the probability of a player winning with one dart?
Mathematics
1 answer:
Stells [14]3 years ago
6 0

Answer:

The probability of hitting the circular area = P(H) = favorable area/ total area = Area of the circle / Area of the square

Step-by-step explanation:

= π/9

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A box has a volume of 308 cm cubed. Its height is 4 cm greater than its length. Its length is 3 cm greater than its width. What
kifflom [539]

Answer:

4 cm.

Step-by-step explanation:

Given:

A box has a volume of 308 cm cubed.

Its height is 4 cm greater than its length.

Its length is 3 cm greater than its width.

Question asked:

What is the width of the box?

<u>Solution</u>:

Let width  = x\ cm

Length = x+3\ cm

Height = x+3+4=x+7\ cm

<u>As we know:</u>

<u />Volume\ of\ box=length\times width\times height

308=(x+3)\times x\times(x+7)\\ \\ 308=(x^{2} +3x)(x+7)\\ \\ 308=x^{2} (x+7)+ 3x(x+7)\\ \\ 308=x^{3} +7x^{2} +3x^{2} +21x\\ \\ 308=x^{3} +10x^{2} +21x\\ \\ Subtract\ 308\ from\ both\ sides\\ \\ x^{3} +10x^{2} +21x-308=0\\ \\ factor\ left\ side\ of\ equation\\ \\ (x-4)(x^{2} +14x+77)=0\\ \\  Set\ factors\ equal\ to\ 0.\\ \\ x-4=0 \ or\  x^{2} +14x+77=0\\ \\ \\

As width can never be in negative, x= 4\ cm

By substituting the value:-

Width  = x\ cm = 4 cm

Thus, width of the box is 4 cm.

4 0
3 years ago
Which function represents the graph of y=10(4)x ?<br><br><br><br> f<br><br> g<br><br> h<br><br> j
garri49 [273]
G would be the correct answer
7 0
3 years ago
Simplify the rational expression. Find all numbers that must be excluded from the domain of the simplified rational expression.
BaLLatris [955]

Answer:

y ≠ 9, y ≠ 3

Step-by-step explanation:

y² -12y +27 = (y - 9) (y - 3)

Denominator ≠ 0

y ≠ 9 or y ≠ 3

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Leokris [45]

Step-by-step explanation:

The horizontal stretch or compression for a function f(x) is given by  g = f(bx) where b is a constant. If b> 0 then the graph of a function is compressed.

As it is given in the question that the function is transformed by a compression factor of 3.

Given function

The value of k will be 3 if the function is transformed by a compression factor of 3

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3 years ago
Tom goes to a stationery shop to purchase a set of watercolors and a paintbrush. There are 3 different brands of watercolors eac
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The answer is  22 .    (3*2)+(2*8)=6+16=22
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