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Mathematics

1 answer:

valkas [14]3 years ago

4 0

Answer:

2 and 3

Step-by-step explanation:

2) If two polygons are similar, the ratio of their areas is equal to the square of the ratio of their corresponding sides.

side ratio: 1/4------- area ratio: 1²/4² = 1/16 = 1:16 ratio

3)If two polygons are similar, then the ratio of their perimeters is equal to the ratios of their corresponding side lengths.

The ratio of the perimeters is the same as the scale factor.

scale 1:4

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Setler79 [48]

Answer:

diameter = 3,600 units

Step-by-step explanation:

Let $\pi$ = 3.14

C = 2 $\pi$ r

11,304 = 2(3.14)r

r = 1,800

d = 2r = 2(1,800) = 3,600

7 0

3 years ago

What is the log 5x=log (2x+9)

Ray Of Light [21]

5x = 2x + 9, where 5x > 0 and 2x + 9 > 0 ;
Then, 3x = 9 ;
Then, x = 3 ;
Verify : 5 × 3 = 2 × 3 + 9 ;correct !
5 × 3 > 0 ; correct !
2 × 3 + 9 > 0; correct !

8 0

3 years ago

If the side length is increased by a factor of 3, how much larger is the perimeter of a face of the new cube?

Luden [163]

The <span>perimeter of a face of the new cube is 8 times larger than the previous cube.
</span>Let us say, the side of cube before increase is "a"
Then perimeter of the cube = 12a ,

because the cube has 12 sides.
And perimeter of a face of cube = 4a
Now, the side length is increased by factor of 3 i.e. new side is 3a
Thus, perimeter of new face of the cube = 4*3a = 12a

Therefore, the new perimeter is larger by = 12a - 4a = 8a

6 0

4 years ago

Given the following exponential function, identify whether the change represents

Nookie1986 [14]

The percentage rate of increase is 36.2% and the exponential function represent the growth.

<h3>What is an exponential function?</h3>

It is defined as the function that rapidly increases and the value of the exponential function is always a positive. It denotes with exponent $\rm y = a^x$