Answer:
0.2
Step-by-step explanation:
Similar triangles are triangles which have the same shape but not the same size. This means their angle measures are equal but their side lengths are not instead they are proportional. This means that if a rectangle has sides 3 by 4 its area will be 12. But its image after being dilated by 2 is 6 by 8 or twice the side. Will the area also be twice the size? The area of the image is 6*8 = 48. This is 4 times bigger than 12. Not twice as big. So the similarity of the area is the scale factor squared.
So if figure A has area 13 units. And they have a ratio or scale factor of 1/8 then the area sclae factor will be 1/8*1/8 = 1/64.
So 13*1/64 will be the area of figure B.
13* 1/64 = 13/64 = 0.2
Answer:
(2x-9)(2x+9)
Step-by-step explanation:
This is a difference of squares because it can be written as (2x)^2-9^2
The formula for factoring a difference of squares is a^2-b^2=(a-b)(a+b)
So replace a with 2x and b with 9 giving us
4x^2-81=(2x-9)(2x+9)
This number is written in extended form. Each multiplication determines the place the digit is in the number you have to determine.
4*100 → This indicates that the first digit of the number is in the place of the "hundreds", if you solve the multiplication the result is 400
2*10 → This multiplication indicates that the second digit of the number is in the place of the "tens", the result of the multiplication is 20
4*1 → This multiplication indicartes that the third digit of the number represents the "units", te result of the multiplication is 4
After the units you have to put the decimal point and all digits below it will be decimal values.
7*(1/10) → The first digit after the decimal point is in the "tenths" place, you can write it as 0.7
7*(1/100) → This indicates that this digit is in the second place after the decimal dot, in the "hundredths" place, you can write it as 0.07
0*(1/1000)→ The multiplication indicates that the digit is in the third place after the decimal dot, in the "thousands" place, you can write it as 0.000
To write the number in decimal form you have to put each digit in their given order, or add the result of each multiplicatin toghether:
400+20+4+0.7+0.07+0.000
424.770
If you cards are only 5,6,7, then the probability of getting even, then even would be zero.
The directions say that the card is not replaced. Therefore, once you pick the 6, there would be no more even cards.