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:
The correct answer is t < 60.
Step-by-step explanation:
Lauren wants to keep her cell phone bill below $60 per month.
Lauren's current cellphone plan charges her a fixed price of $30 and per text price for one text is $0.50.
Let Lauren sends t texts in a complete month.
Total money spent on texts in a month is given by $ (0.50 × t)
Therefore Lauren's total spent in a month is given by $ (30 + (0.50 × t)).
But this amount should be under $60 as per as the given problem.
∴ 30 + (0.50 × t) < 60
⇒ (0.50 × t) < 30
⇒ t < 
⇒ t < 60.
So in order to keep her phone monthly bill under $60, Lauren should keep her number of texts below 60.
9x² + bx + 64
\/(9x²) = 3x
\/84 = 8
2*3x*8 = 48x
b = 48
Answer:
no solution
Step-by-step explanation:
the given equation have no solution from the options
Answer:
=14.69km²
Step-by-step explanation:
We can use the Hero's formula to calculate the area
A= √(s(s-a)(s-b)(s-c))
s is obtained by adding the lengths of the three sides of the triangle and then dividing by 2, a, b and c are the ides of the triangle.
S=(5+6+7)/2
=9
A=√(9(9-6)(9-5)(9-7))
=√(9×3×4×2)
=√216
=14.69km²