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Snezhnost [94]
4 years ago
5

Rectangle ABCD is dilated by a scale factor of 2 with the origin as the center of dilation, resulting in the image A′B′C′D′. If

the slope of `bar(AB)` is -2, what is the slope of `bar(A'B')` ?
A. -4
B. -1
C. -2
D. 0
Mathematics
1 answer:
Pani-rosa [81]4 years ago
4 0

c is correct................................................................................................................

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Jim's backyard is a rectangle that is 15 5/6 yards long and 10 2/5 yards wide. Jim buys sods in pieces that are 1 1/3 yards long
Ne4ueva [31]

We are given

Jim's backyard:

Length is

L=15\frac{5}{6} =\frac{95}{6} yards

width is

W=10\frac{2}{5} =\frac{52}{5} yards

Since, this is rectangle

so, we can find area of rectangle

A=L*W

A=(\frac{95}{6})*(\frac{52}{5})

A=\frac{494}{3} yard^2

Area of one sod:

length is

l=1\frac{1}{3} =\frac{4}{3} yards

width is

w=1\frac{1}{3} =\frac{4}{3} yards

Since, it is rectangle in shape

so,

Area=l*w

A=\frac{4}{3}*\frac{4}{3}

A=\frac{16}{9}yard^2

Number of pieces of sod:

we can use formula

Number of pieces of sod = (area of Jim's backyard)/(area of one sod)

N=\frac{\frac{494}{3} }{\frac{16}{9} }

now, we can simplify it

N=\frac{741}{8} pieces need ..............Answer

7 0
3 years ago
TVs are described by the length of their diagonals. The diagonal of a TV is
elena55 [62]

Answer:

32

Step-by-step explanation:

4 0
3 years ago
Durning Saturday’s thunderstorms a total of 500 mm of rain fell in fell in 20 minutes.How many mm fell per minute
Sonja [21]

Answer

25mm of rain fell each second

Step-by-step explanation:

we know that 500 mm fell in 20 minutes

so, we have to divide 500 by 20 giving us the amount of rain that fell each minute:

500/20 = 25

therefore, 25mm of rain fell each minute

hope this helped:)

5 0
3 years ago
Read 2 more answers
The ratio of workers to supervisors and factories 32 to 2. The ratio of male workers to female workers is 6 to 5. If there are 8
Margarita [4]

Answer:

The number of supervisor in the factory is 9 .

Step-by-step explanation:

Given as :

The ratio of workers to supervisors and factories 32 : 2

let the number of workers = 32 x

And The number of supervisors = 2 x

The ratio of male workers to female workers is 6:5

Let The number of male workers = 6 y

And The number of female worker = 5 y

The number of female workers at the plant = 80

So, 5 y = 80

∴  y = \frac{80}{5}

I.e y = 16

So, The number of male workers = 6 y = 6 × 16 = 96

Thus The Total number of worker in the factory =  The number of male workers + The number of female workers at the plant

Or, The Total number of worker in the factory = 96 + 80 = 146

Now , Again

∵ The ratio of workers to supervisors in factories 32 : 2

So, The number of workers = 32 x

I.e 146 = 32 x

∴ x = \frac{146}{32} = 4.5

So, The number of supervisors = 2 x = 2 × 4.5 = 9

Hence The number of supervisor in the factory is 9 . Answer

3 0
3 years ago
Read 2 more answers
Divide using synthetic division. ( x^4-12x^2-9)/(x+3)
Firdavs [7]

Answer:

x^3 - 3x^2 - 3x + 9 + (-36/(x+3))

OR

x^3 - 3x^2 - 3x + 9 - (36/(x+3))

Step-by-step explanation:

First set the divisor equal to 0:

x + 3 = 0

Subtract 3 from both sides

x = -3

This is what you'll divide the dividend by in synthetic division.

Take the coefficents of each term in the dividend. Do not forget the 0 placeholders:

x^4 + 0x^3 - 12x^2 + 0x -9

Coefficents: 1. 0.  -12. 0 -9.

Please see the image for the next steps.

The remainder is -36. Put the remainder over the divisor and add it to the polynomial (shown in image)

-36/(x+3)

6 0
3 years ago
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