Answer:
100 in²
Step-by-step explanation:
Since the figures are similar
the linear ratio of sides = a : b , then
ratio of areas = a² : b²
ratio of sides = 15 : 21 = 5 : 7
ratio of areas = 5² : 7² = 25 : 49
let the area of the smaller figure be x then by proportion
= 
( cross- multiply )
49x = 4900 ( divide both sides by 49 )
x = 100
Area of smaller figure is 100 in²
Answer:
3
Step-by-step explanation:
7x + 3y = 30
-2x + 3y = 3....multiply by -1
-----------------
7x + 3y = 30
2x- 3y = -3 (result of multiplying by -1)
----------------add
9x = 27
x = 27/9
x = 3
7x + 3y = 30
7(3) + 3y = 30
21 + 3y = 30
3y = 30 - 21
3y = 9
y = 9/3
y = 3
solution is (3,3)
Answer:
288
Step-by-step explanation:
<em> Number of rectangles</em>
<em>____________________________________________________________</em>
1 × 1 squares 9-1 = 1 = 8*8 = 64
1 × 2 squares 9-2 = 7 = 8*7 = 56
1 × 3 squares 9-3 = 6 = 8*6 = 48
1 × 4 squares 9-4 = 5 = 8*5 = 40
1 × 5 squares 9-5 = 4 = 8*4 =32
1 × 6 squares 9-6 = 3 = 8*3 = 24
1 × 7 squares 9-7 = 2 = 8*2 = 16
1 × 8 squares 9-8 = 1 = 8*1 = 8
64 + 56 + 48 + 40 + 32 + 24 + 16 + 8 = 288
<em>Thus,</em>
<em>the number of squares on a chessboard is 228.</em>
<em />
<em>Hope this helps :)</em>
Answer:
10x+40
Step-by-step explanation:
To solve you must follow these steps:
1. Multiply the outside (5) by the first number on the inside (2x) and you get 10x
2. Multiply the outside (5) by the second number on the inside of the parenthesis (8) and you get 40
3. You are left with 10x and 40, so your answer is 10x+40
Hope this makes sense, have a wonderful day!
