250.6 is your number
The "6" in .6 right after the decimal is the tenths place
So right after the tenths place is the hundredths place
But as you can see in 250.6, there is no hundredths place you can see so it is 0
250.60 is the same as 250.6
So 250.6 is already rounded to the nearest hundredths
Answer:
after 9 weeks it would become 9*1+10=19 inches
and after w weeks it will be w*1+10 inches tall
hope this helps
Step-by-step explanation:
use the pythagorean theorem twice
alrighty
so
remember for legs length a and b and hytponuse c in a right triangle
a²+b²=c²
we need AD and DC
so
AD²+7.9²=9.4²
AD=√25.95
DC²+7.9²=23.2²
DC=√475.83
so
AD+DC=base=(√25.95)+(√475.83)≈26.9076
AC≈26.91 units
<span> (x + 3) • (x - 12)
</span>
The first term is, <span> <span>x2</span> </span> its coefficient is <span> 1 </span>.
The middle term is, <span> -9x </span> its coefficient is <span> -9 </span>.
The last term, "the constant", is <span> -36 </span>
Step-1 : Multiply the coefficient of the first term by the constant <span> <span> 1</span> • -36 = -36</span>
Step-2 : Find two factors of -36 whose sum equals the coefficient of the middle term, which is <span> -9 </span>.
<span><span> -36 + 1 = -35</span><span> -18 + 2 = -16</span><span> -12 + 3 = -9 That's it</span></span>
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -12 and 3
<span>x2 - 12x</span> + 3x - 36
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (x-12)
Add up the last 2 terms, pulling out common factors :
3 • (x-12)
Step-5 : Add up the four terms of step 4 :
(x+3) • (x-12)
Which is the desired factorization
Final result :<span> (x + 3) • (x - 12)</span>
Answer:
1078
Step-by-step explanation:
Total no of rows (n) = 22
Since, 18, 20, 22 ..... forms an arithmetic sequence with first term (a) = 18 and common difference (d) = 2.
We need to find: Total no of seats in the theatre 
Formula to be used:
![S_{n}= \frac{n}{2}\bigg[2a+(n-1)d\bigg]](https://tex.z-dn.net/?f=S_%7Bn%7D%3D%20%5Cfrac%7Bn%7D%7B2%7D%5Cbigg%5B2a%2B%28n-1%29d%5Cbigg%5D)
Plug the values of a, d and n in the above formula, we find:
![\implies S_{22}= \frac{22}{2}\bigg[2(28)+(22-1)(2)\bigg]](https://tex.z-dn.net/?f=%5Cimplies%20S_%7B22%7D%3D%20%5Cfrac%7B22%7D%7B2%7D%5Cbigg%5B2%2828%29%2B%2822-1%29%282%29%5Cbigg%5D)
![\implies S_{22}=11[56+(21)(2)]](https://tex.z-dn.net/?f=%5Cimplies%20S_%7B22%7D%3D11%5B56%2B%2821%29%282%29%5D)
![\implies S_{22}=11[56+42]](https://tex.z-dn.net/?f=%5Cimplies%20S_%7B22%7D%3D11%5B56%2B42%5D)
![\implies S_{22}=11[98]](https://tex.z-dn.net/?f=%5Cimplies%20S_%7B22%7D%3D11%5B98%5D)
Thus, there are total 1078 seats in the theatre.
