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3 years ago

Scale factor: 1:4

Mathematics

1 answer:

mojhsa [17]3 years ago

5 0

Answer:

The area of the real object is 480 square cm

Step-by-step explanation:

Scaling

Objects can be represented in a reduced or augmented size by using scaling which is basically multiplying or dividing by a constant factor.

The scale factor (f) converts a real dimension (x) into a scaled dimension (y) and vice-versa and is computed as:

$\displaystyle f=\frac{x}{y}$

If the magnitudes are areas, the scaling factor is squared:

$\displaystyle f^2=\left(\frac{x}{y}\right)^2$

And for volumes:

$\displaystyle f^3=\left(\frac{x}{y}\right)^3$

If the scale factor is 4, the area of a 30 square cm object is scaled to:

30 * 4^2 = 480

The area of the real object is 480 square cm

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A= (4,5) B= (7,-9) what is AB ?

VMariaS [17]

If you are needing to find the distance between the two points, you must use a simple formula, cleverly named, the distance formula. Since I can't input special characters into the answer box, I'll explain it the best I can.

( The square root of ( (x - x)^2 + (y - y)^2 ) )

First, we need to find the first x subtracted from the second x, as so:
(4,5) and (7,-9)

4 - 7 = -3

Now, we square the -3.

-3^2 =
-3 * -3 = 9

Next, we have to find the first y subtracted from the second y.
(4,5) and (7,-9)

5 - (-9) = 14

Now, we square the 14.

14^2 =
14 * 14 = 196

Let's see how the numbers fit in the formula:

sqrt((x - x)^2 + (y - y)^2)

sqrt((4 - 7)^2 + (7 - (-9))^2)

sqrt((-3)^2 + (14)^2)

sqrt( 9 + 196 )

This is where we currently are in the formula, all we have to do now is square root the total of 9 + 196.

sqrt( 9 + 196 )
sqrt( 205 )

The square root of 205 = 14.31782106...

There are a few answers you can consider:

1) sqrt(205)
2) 14.32 units
or
3) 14.31782106

Depending on the answer you desire, use the one that sounds the most correct to you. Although all three are correct, it may not be the answer you require.

Hope I could help! If my math is incorrect, or I provided answers you were not looking for, please let know! However, if my answer is correct and well explained, please consider marking my answer as Brainliest! :)

Have a good one.
God bless!

4 0

3 years ago

Find a quadratic equation whose roots are 1.5 +√2 and 1.5-√2expressing it in the form of ax^2+bx+c+c=0 where a,b and c are integ

Ilia_Sergeevich [38]

0 = f(x) = (x - r)(x - s) = x² - (r+s) + rs

We have r=1.5+√2, s=1.5 -√2 so r+s = 3 and

rs = (1.5+√2)(1.5 - √2) = 1.5² - (√2)² = 2.25 - 2 = 0.25

f(x) = x² - 3x + -.25

For integer coefficients we mulitply by 4,

g(x) = 4f(x) = 4x² - 12x - 1

Answer: 4x² - 12x - 1 = 0

5 0

3 years ago

Subtract the following: –7 – 7= 7 – 7= -7-(- 7) = 7- (-7)=

Ratling [72]

Answer:

A. -7 - 7 = -14

B. 7 - 7 = 0

C. -7 - (-7) = 0

D. 7 - (-7) = 14

5 0

3 years ago

Read 2 more answers

Joan Messineo borrowed $47,000 at a 5% annual rate of interest to be repaid over 3 years. The loan is amortized into three eq

tester [92]

Answer:

a) The value of the Annual Payment is A=$17,258.80

b) Is the picture in the attachment file

c) As you can see it in the picture with each payment, balance comes down, due it is the interest base, Interest portion comes down too.

Step-by-step explanation:

a) First of all, we are going to list the Knowns: $VP=47000$ , $i=5$ % and $n=3$ , Then we can use $A=\frac{VP}{\frac{1-(1+i)^{-n} }{i} } =\frac{47000}{\frac{1-(1+0.05)^{-3} }{0.03} }=17258.80$ . So this is the value of the Annual Payment

6 0

3 years ago

What is the volume of this figure?

AysviL [449]

What figure , are you trying to figure the volume for

4 0

3 years ago