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3 years ago

In ΔMNO, m = 140 cm, n = 660 cm and o=640 cm. Find the measure of ∠N to the nearest 10th of a degree.

Mathematics

1 answer:

konstantin123 [22]3 years ago

3 0

Answer:

92 is the right answer

Step-by-step explanation:

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5/2x+1 + 8/2x+1, x≠-1/2

svet-max [94.6K]

$\frac{5}{2x + 1} +\frac{8}{2x + 1}$

$= \frac{5 + 8}{2x + 1}$

$= \frac{13}{2x + 1}$

3 0

3 years ago

Find the line y=a+bx which best approximates the data points

Vika [28.1K]

Answer:

y = 11.84x - 32.71

Step-by-step explanation:

Here, the given data points,

(−3,−70),(−1,−42),(1,−21),(2,−9),(4,14),

Let x represents the input value and y represents the output value,

So, the table that represents the given situation is,

x -3 -1 1 2 4

y -70 -42 -21 -9 14

By the above table,

$\sum x=3$

$\sum y=-128$

$\sum xy = 269$

$\sum x^2=31$

$\sum y^2 = 7382$

Let the equation of the line is,

y = bx + a

Where,

$a=\frac{\sum y \sum x^2 - \sum x\sum xy}{n(\sum x^2)-(sum x)^2}$

$b=\frac{n\sum xy - \sum x \sumy}{n(\sum x^2)-(\sum x)^2}$

n = number of data points = 5,

By substituting the values we get,

a = - 32.70547945 ≈ - 32.71,

b = 11.84246575 ≈ 11.84,

Hence, the equation of line would be,

y = 11.84x - 32.71

8 0

3 years ago

What is the approximate scale factor dilating from the red image to the blue image?Explain how you figured this out.

Lorico [155]

If the shape on the red image is scaled to the shape on the blue image, the scale factor is 0.2777.

Explanation:

The original shape's base in the red image is measured. The base of the red image is measured to be 9 units. Now we measure the same side of the blue image. The base of the blue image is measured to be 2.5 units. So after scaling, the length of the painting will be 2.5 units.

To calculate the scale factor, we divide the measurement after scaling by the same measurement before scaling. In this case, it is the base of both images. So The scale factor = $\frac{baselengthbeforescaling}{baselengthafterscaling}$ = $\frac{2.5}{9}$ = 0.2777.
So the red image is dilated by a scale factor of 0.2777 to produce the blue image.

5 0

3 years ago

Lucy's family purchased one sweatshirt and 4 t-shirts for $110. Mark's family bought three sweat-shirts and 4 t-shirts for $200.

omeli [17]

T-shirt are 20 each and sweatshirt are 30

6 0

4 years ago

Please answer quickly

scZoUnD [109]

f(x)=(x+a)/b

or bf(x)=x+a

let f(x)=y

by=x+a

flip x and y

bx=y+a

or y=bx-a

or f^{-1}(x)=bx-a

also g(x) is inverse of f(x)

bx-a=cx-d

so b=c,a=d

again let g(x)=y

y=cx-d

flip x and y

x=cy-d

cy=x+d

y=(x+d)/c

or g^{-1}(x)=(x+d)/c

also f(x) is inverse of g(x)

so (x+a)/b=(x+d)/c

so a=d,b=c

so in either case a=d,b=c

take b=c=1

a=d=2

f(x)=(x+2)/1=x+2

g(x)=1x-2=x-2

so f(x) and g(x) are two parallel lines f(x) with y- intercept=1 and slope 0

g(x) with y-intercept -2 and slope 0

if we take b=c=2,a=d=3

f(x)=(x+3)/2=x/2+3/2

g(x)=2x-3

here f(x) is of slope 1/2 and y-intercept 3/2

g(x) is of slope 2 and y intercept -3

part 3.

f(f(x))=g((x+a)/b)=c[(x+a)/b]-d=(c/b)(x+a)-d

5 0

2 years ago