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lesantik [10]
3 years ago
11

Figure A and Figure B are similar with a ratio of similarity of 1/8, and the area of figure A is 13 units, what is the area of f

igure B
Mathematics
1 answer:
nikdorinn [45]3 years ago
6 0

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

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Using synthetic division, find the quotient Q(x) and the remainder R if the polynomial P(x) = x3 − 2x2 − 5x + 6 is divided by (x
VLD [36.1K]

Answer:

Step-by-step explanation:

1_|   1     -2     -5    6

     <u>          1      -1   -6</u>

       1     -1      -6   0

Q(x)= x^2 - x - 6

R: 0

4 0
2 years ago
The volume of a cylinder is 156 x cm3. What is the volume of a cone with the same base and height as the cylinder?
Flura [38]

Answer: SECOND OPTION (52 cm³)

Step-by-step explanation:

The formula for calculate the volume of a cone is:

V{co}=\frac{1}{3}r^{2}h\pi

Where r is the radius and h is the height.

 The formula for calculate the volume of a cylinder is:

V{cy}=r^{2}h\pi

Where r is the radius and h is the height.

As you can see, the difference between the the formulas is that r²hπ of the cone is divided by 3. Therefore, if you know the volume of the cylinder and you know that the cone has the same base and height as the cylinder, you have to divide the volume of the cylinder by 3 to obtain the volume of the cone.

Therefore, the result is:

V{co}=\frac{156cm^3}{3}=52cm^3

7 0
3 years ago
Read 2 more answers
Five years from now, the sum of the ages of a women and her daughter will be 40 years. The difference in their present age is 24
Tomtit [17]

Answer:

Daughter age = 3 years

Step-by-step explanation:

Let x be the age of the women and y be the age of the daughter.

Given:

After five year the sum of the women and daughter age = 40

(x+5)+(y+5)=40

At present the sum of the women and daughter age

x+5+y+5=40

x+y+10=40

x+y=40-10

x+y=30--------------(1)

So the sum of the present age is x+y=30

The difference in their present age is 24 years.

x-y=24

x=24+y

Now we substitute x value in equation 1.

(24+y)+y=30

24+2y=30

2y=30-24

2y=6

y=\frac{6}{2}

y=3\ years

Therefore, the daughter age is 3 years.

7 0
3 years ago
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Katarina [22]
<span>answer is b.
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6 0
3 years ago
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Simplify the equation -4(2x-4)
marin [14]

Answer:

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Step-by-step explanation:

This is called expanding brackets in algebra

1. you need to multiply the numeral on outside of the brackets with each of thosse on the inside      

-4 x 2x = 8x

-4 x -4 = 16

4 0
3 years ago
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