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3 years ago

A) x²y-2xy+y=? b) ax²+4ax+4a=? c) 20x-60x²+45x³=?

Mathematics

1 answer:

bearhunter [10]3 years ago

5 0

Answer:

A)Y(x²-2x+1)=y(x-1)²

B) a (x²+4 x+4)= a(x+2)²

C)x(20-60x+45x)²

hope I helped :)

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A rectangle is placed around a semicircle as shown below. The length of the rectangle is 14mm. Find the area of the shaded regio

Damm [24]

Image is missing, so i have attached it

Answer:

21.07 mm²

Step-by-step explanation:

We will use the Formulas:

Area of semicircle = πr²/2

Area_rectangle = Length x width = Lw

We are given:

Length of rectangle = 14 mm

From the attached image, the diameter of the semicircle is equal to the length of the rectangle.

Thus;

diameter of semicircle = length of rectangle

Therefore,

diameter of semicircle = 14 mm

Also, from the attached image, the radius of the semicircle is equal to the width of the rectangle.

Thus;

diameter of semicircle/2 = radius of semicircle

Hence;

radius of semicircle = 14/2 = 7mm = width of rectangle

Thus;

Area of rectangle = L*w = 14 × 7 = 98 mm²

Area of semicircle = πr²/2 = π×7²/2 = 76.93 mm²

To get the area of the shaded region, we will subtract area of the semi-circle from the area of the rectangle.

Area of shaded region = Area_rectangle - Area_semicircle = 98 - 76.93 = 21.07 mm²

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3 years ago

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PilotLPTM [1.2K]

Answer:

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Step-by-step explanation:

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3 years ago

What is the equation of the line that passes through (2, 7) and (4, 11)?<br> (5 Points)

Ira Lisetskai [31]

Answer:

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Step-by-step explanation:

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3 years ago

A college sends a survey to members of the class of 2012. Of the 1254 people who graduated that year, 672 are women, of whom 124

Svetllana [295]

Answer:

a) $P(F) = \frac{672}{1254}=\frac{112}{209}=0.536$

b) $P(M) = \frac{582}{1254}= \frac{97}{209}=0.464$

c) $P(A') = 1-P(A) = 1- \frac{124}{672}= \frac{137}{168}=0.815$

Step-by-step explanation:

For this case we have a total of 1254 people. 672 are women and 582 are female.

We know that 124 women wnat on to graduate school.

And 198 male want on to graduate school

We can define the following events:

F = The alumnus selected is female

M= The alumnus selected is male

A= Female and attend graduate school

And we can find the probabilities required using the empirical definition of probability like this:

Part a

$P(F) = \frac{672}{1254}=\frac{112}{209}=0.536$

Part b

$P(M) = \frac{582}{1254}= \frac{97}{209}=0.464$

Part c

For this case we find the probability for the event A: The student selected is female and did attend graduate school

$P(A) =\frac{124}{672}=\frac{31}{168}=0.185$

And using the complement rule we find P(A') representing the probability that the female selected did not attend graduate school like this:

$P(A') = 1-P(A) = 1- \frac{124}{672}= \frac{137}{168}=0.815$

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3 years ago

The smallest angle of rotational symmetry for a regular polygon is 30°. How many sides does the regular polygon have?

Nady [450]

The answer should be 12

6 0

3 years ago

Read 2 more answers

A) x²y-2xy+y=? b) ax²+4ax+4a=? c) 20x-60x²+45x³=?​

A) x²y-2xy+y=? b) ax²+4ax+4a=? c) 20x-60x²+45x³=?