Answer:
x+(x+1)+(x+2)+(x+3)=326
4x+6=326
4x=320
x=80
x+1 is the second number
hence second number is 81
Problem 16
Divide both sides by 2 to undo the multiplication of 2 (done to the t).
2t > 324
2t/2 > 324/2
t > 162
Answer: t > 162
=====================================================
Problem 17
Similar to problem 16, we will divide both sides by 12
12y >= 1
12y/12 >= 1/12
y >= 1/12
Answer: y >= 1/12
Note: the symbol ">=" without quotes means "greater than or equal to".
=====================================================
Problem 18
To undo the division of 9.5, we multiply both sides by 9.5
x/9.5 < 11
9.5*x/9.5 < 9.5*11
x < 104.5
Answer: x < 104.5
We can solve this problem using the Pythagorean Theorem. The Pythagorean Theorem states, that with hypotenuse c, and legs a and b, a² +b² = c², and since this is a right triangle, that principle is true here. In this problem, we have the length of the hypotenuse and leg a. So, we can insert the values of the variables and then simplify to find out the length of b. 15²+b²=20²b²=400-225b²=175b=√175
Note that 1 - cos(x) = 2sin²(x/2)
⇒ lim x→0 xtan(x)/ [1 - cos(x)] =
= lim x→0 xtan(x) / 2sin²(x/2) =
= lim x→0 1/2 xtan(x) / [sin²(x/2) / (x/2)² * (x/2)²]
Also, we know that lim x→0 sin(x)/x = lim x→0 tan(x)/x = 1
So the limit is :
= 1/2 lim x→0 xtan(x) / (x²/4) =
= 1/2 lim x→0 4/x² * xtan(x) =
= 2 lim x→0 tan(x)/x =
<span>= 2.
I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
</span>
