Answer:
The constant of proportionality is 5.
Step-by-step explanation:
If the quantity q varies inversely with the square of m and directly with the product of r and x, then the variation equation is
When q=2.5, m= 4 and the
product of rx = 8.
We plug in this values to get;
Multiply both sides by 2
The constant of proportionality is 5.
You're looking for the largest number <em>x</em> such that
<em>x</em> ≡ 1 (mod 451)
<em>x</em> ≡ 4 (mod 328)
<em>x</em> ≡ 1 (mod 673)
Recall that
<em>x</em> ≡ <em>a</em> (mod <em>m</em>)
<em>x</em> ≡ <em>b</em> (mod <em>n</em>)
is solvable only when <em>a</em> ≡ <em>b</em> (mod gcd(<em>m</em>, <em>n</em>)). But this is not the case here; with <em>m</em> = 451 and <em>n</em> = 328, we have gcd(<em>m</em>, <em>n</em>) = 41, and clearly
1 ≡ 4 (mod 41)
is not true.
So there is no such number.
Step-by-step explanation:
do 21×3.14= 65.94
then divide by 2 since its a semicircle
equals: 32.97
than find perimeter altogether
21+28+28+32.97= 109.97ft
Answer:
120 days
Step-by-step explanation:
hiking = 12
swimming = 10
both = 12 x 10
= 120 days
x=15-657/2=15-373/2=-5.316
x=15+657/2=15+373=20.316
