4/1 x 3/2 = 12/2
6/9 x 1/7 = 6/63
5/6 x 2/1 = 10/6
8/3 x 1/6 = 8/18
8/1 x 5/8 = 40/8
Let's start with what we know:
Smaller canvas:
Length (

) = 3ft
Width (

) = 5ft
Larger canvas:
Length (

) = ?
Width (

) = 10ft
Since these are similar rectangles, we can cross-multiply to calculate the missing length. Here's that formula:

So let's plug it all in from above:

Now we cross multiply by multiplying the top-left by the bottom-right and vice versa:


Now divide each side by 5 to isolate


The 5s on the right cancel out, leaving us with:

So the length of the larger canvas is
6 ft
Answer:
(a+b) - (ab)
Step-by-step explanation:
sum of two numbers a and b decreased by their product
(a+b) - (ab)
Let the distance be x miles
Time = Distance / speed
Time taken by Mike to go to his friend's house = x / 40 hours
Time taken by him to return = x / 45 hours
Total time = x / 40 + x / 45 = 4 hours
= 9x + 8x = 1440 miles
17x = 1440
= x = 1440 ÷ 7
= x = 84.706
Time taken to return home = 84.706 /45= 1.882 hours .
Therefore , Mike took 1.882 hours to reach home .
Answer:
9.8 units
Explanation:
According to Pythagoras theorem, the square of length of the hypotenuse is equal to the sum of squares of lengths of other two sides.
Let the third side be x units.
Then,
x² + 10² = 14²
=> x² + 100 = 196
=> x² = 196 - 100
=> x² = 96
=> x = √96
=> x = 4√6
=> x = 9.79....
=> x = 9.8 (Rounding to the nearest tenths)
So, the length of the third side is 9.8 units.