Answer:
6.5 units
Step-by-step explanation:
We are given that
Two adjacent sides of right triangle
Suppose a,b and c are sides of right triangle.
squared units
square units.
Length of third side,c=x units
We have to find the length of third side of the triangle.
By using Pythagoras theorem
Hence, the length x of the third side of the triangle=6.5 units
we know that
In an Arithmetic Sequence the difference between one term and the next is a constant
This problem is an Arithmetic Sequence
where
the first term is 
and
the common difference is 
In general we can write an Arithmetic Sequence as a rule
where
a1 is the first term
d is the common difference
so
<u>Find the term a7</u>
![an=a1+d*(n-1)\\ \\ a7=23+(-2)*[7-1]\\ \\\\ a7=23-12\\ \\\\ a7=11](https://tex.z-dn.net/?f=%20an%3Da1%2Bd%2A%28n-1%29%5C%5C%20%5C%5C%20%20a7%3D23%2B%28-2%29%2A%5B7-1%5D%5C%5C%20%5C%5C%5C%5C%20a7%3D23-12%5C%5C%20%5C%5C%5C%5C%20%20%20%20a7%3D11%20%20%20%20%20)
therefore
<u>the answer is</u>
Answer:
22
Step-by-step explanation:
Solve the inequality (20 + 0.5x) + 0.15(20 + 0.5x) ≤ $62.10 for x:
20 + .5x + 3 + 0.75x ≤ 62.10
Combining the x terms, we get:
20 + 3 + 1.25x ≤ 62.10.
Combining the constants on the left:
23 + 1.75x ≤ 62.10
Combining the constants:
1.75x = 39.10
Solving for x: 39.10/1.75 = 22.34
Thus, the max number of whole pages she can have in her book is 22.
First find the rate, so dollars/1 hour
To do this, divide both sides by 1.5 so u get the Pay of one hour because 1.5/1.5 is one and the result is 16/1 hour, now multiply 16 by the hour so 16(8) then 16(12) and so on, you can do it well! I don’t have a calculator lol
Answer:
See below in exact form
or
2.42, -12.42 to the nearest hundredth.
Step-by-step explanation:
x^2 + 10x - 13 = 17
(x + 5)^2 - 25 - 13 = 17
(x + 5)^2 = 17 + 38 = 55
x + 5 = +/- √55
x = -5 + √55, -5 - √55.
