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2 years ago

Simplify: 3gh^2 x 4g^3h^3

Mathematics

1 answer:

katrin [286]2 years ago

7 0

$\bf 3gh^2\times 4g^3h^3\implies 3\cdot 4\cdot g^1g^3h^2h^3\implies 12\cdot g^{1+3}h^{2+3}\implies 12g^4h^5$

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t hits the square dartboard shown below at a random point. Find the probability that the dart lands in the shaded circular regio

masha68 [24]

Given:

Required:

To find the probability that the dart land will be in the shaded region.

Explanation:

Area of the circle is given by the formula:

$A=\pi r^2$

Where r = radius

Thus the area of the circular region

$\begin{gathered} =(3.14)\times(2)^2 \\ =3.14\times4 \\ =12.56\text{ square in.} \end{gathered}$

The area of the square is given by the formula:

$=(side)^2$

Thus the area of the given square

$\begin{gathered} =(6)^2 \\ =36\text{ square in.} \end{gathered}$

The probability of an event is given by the formula:

$P=\frac{number\text{ of possible outcomes}}{Total\text{ number of outcomes}}$

The probability that the dart land will be in the shaded region

$=\frac{Area\text{ of the shaded region}}{Area\text{ of the square}}$

Thus probability

$\begin{gathered} P=\frac{12.56}{36} \\ P=0.3488 \\ P=0.349 \end{gathered}$

Final answer:

Thus the probability that the dart land will be in the shaded region is 0.349.

6 0

11 months ago

Maria and three friends have 1200 soccer cards. If they share the soccer cards equally, how many will each person receive?

ryzh [129]

300 because 1200/4= 300

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2 years ago

What’s the answer pleaseeeeeeeee

slega [8]

y^2 +6^2 = 12^2

y^2 +36 = 144

y^2 = 108

sqrt(108) = 10.392 = 6sqrt(3)

Answer is B 6sqrt(3)

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3 years ago

Create a polynomial function in factored form that has the following characteristics: zero at x = 1, multiplicity of 2; zero at

Nataliya [291]

$(x-1)^{2} (x+2)$

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3 years ago

A sanitation company charges $4 per bag for garbage pickup plus a $10 weekly fee. A restaurant has 14 bags of g garbage. What wi

soldi70 [24.7K]

Answer:

Step-by-step explanation:

Step one:

given data

charges

$4 per bag

$10 weekly fee

let the number of bag be x

and let the total charges be y

<em>the linear function for the total per week is</em>

<em>y=4x+10</em>

Step two:

the independent variable is the weekly fee of $10

for x=14

y=4(14)+10

y=56+10

y=$66

6 0

2 years ago