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3 years ago

The areas of two similar polygons are in the ratio 64:81. find the ratio of the corresponding sides.

2 answers:

5 0

Answer is 8:9. The easiest example is a square. If the polygons are squares with areas of 64 and 81 then the sides of the squares are 8 and 9. Therefore, the ratio of the corresponding sides is 8:9

Ahat [919]3 years ago

3 0

The ratio of the corresponding sides is 64:81 ratio 64:81 plus multiplication equals12,962 ratio on sides.

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Can you help me with explanation will give brainiest

Ipatiy [6.2K]

Answer:

Area of rectangular garden = lxb = 10*5

= 50 sq. inch

when area increases by six times

new area = 50*6 = 300 sq inches

now,

let x be increasement in both length and width

(5+x) (10+x) = 300

50 + 5x + 10x + x² = 300

x² + 15x - 250 = 0

x²+ 25x-10x -250 = 0

x(x+25) - 10 (x+25) = 0

( x-10) (x+25) = 0

either x + 25 =0

x = -25 length can be negative

0r x-10 = 0

x = 10

so 10 inches is increase on both side

Step-by-step explanation:

6 0

3 years ago

The area of a rhombus is 72 m2. One<br> diagonal is 18m. Find the other diagonal.

miskamm [114]

Answer:

Other diagonal is 8 m

Step-by-step explanation:

area of rhombus = 72 m²

½ × diagonal 1 × diagonal 2 = 72

½ × 18 × d2 = 72

9 × d2 = 72

d2 = 72/9

d2 = 8

7 0

2 years ago

What is the slope-intercept form of the equation of the line with the slope of -5/8 that passes through the point (-14,6)

inessss [21]

Step-by-step explanation:

y-y1 = m(x-x1) is the equation for a linear line in y=mx+b (slope intercept)

slope = m = -5/8

x1 = -14

y1 = 6

y-6 = -5/8 (x--14)

y-6 = -5/8 (x+14)

y-6 = -5/8x-70/8

y-48/8= -5/8x-70/8

y = -5/8x - 22/8

When x = 0, y = -22/8, which makes (0, -22/8) your y intercept

5 0

3 years ago

20 points!! Solve this system of lineal equations.separate the x- and y- values with a comma

Zielflug [23.3K]

Solve the following system:{12 x = 54 - 6 y | (equation 1)-17 x = -6 y - 62 | (equation 2)
Express the system in standard form:{12 x + 6 y = 54 | (equation 1)-(17 x) + 6 y = -62 | (equation 2)
Swap equation 1 with equation 2:{-(17 x) + 6 y = -62 | (equation 1)12 x + 6 y = 54 | (equation 2)
Add 12/17 × (equation 1) to equation 2:{-(17 x) + 6 y = -62 | (equation 1)0 x+(174 y)/17 = 174/17 | (equation 2)
Multiply equation 2 by 17/174:{-(17 x) + 6 y = -62 | (equation 1)0 x+y = 1 | (equation 2)
Subtract 6 × (equation 2) from equation 1:{-(17 x)+0 y = -68 | (equation 1)0 x+y = 1 | (equation 2)
Divide equation 1 by -17:{x+0 y = 4 | (equation 1)0 x+y = 1 | (equation 2)
Collect results:Answer: {x = 4 {y = 1

Please note the { are supposed to span over both equations but it interfaces doesn't allow it. Please see attachment for clarification.

7 0

3 years ago

When 12 is subtracted from 3 times a number,the result is 24. Find the number

trasher [3.6K]

I get:
24 = 3x-12
add 12 to both sides

36 = 3x

divide each side by 3 and you will get 12

7 0

3 years ago

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