Answer:
yes
Step-by-step explanation:
Theorem gives us a2 + b2 = c2 for a right triangle, where c is the hypotenuse and a and b are the smaller sides. Here a is equal to 5 and c is equal to 14, so b2 = 142 – 52 = 171. Therefore b is equal to the square root of 171 or approximately 13.07.
Answer:
n = 5
Step-by-step explanation:
3 x (n+1)² = n² + (n+2)² + 34
3n² + 6n + 3 = n² + n² + 4n + 4 + 34
n² + 2n - 35 = 0
(n - 5) (n + 7) = 0
n is a positive number
n = 5
check: 5, 6, 7
6 x 6 x3 = 108
(5 x 5) + (7 x 7) + 34 = 25 + 49 + 34 = 108
Answer:
x > 6
Step-by-step explanation:
x = the number
we can write an inequality for this equation:
-3x = product of x and -3
-8 = 8 less than
> -26 = greater than 26
inequality:
-3x - 8 > -26
to solve this, we first add 8 to each side to get:
-3x > -18
then we divide both sides by -3 to get:
x > 6
that's your answer!
Answer:
$114.54
Step-by-step explanation:
In order to answer this question, we are going to have to do some multiplication :)
First, we will find out how much Maria got paid on Monday. In order to find this, we must multiply 5.1 hours by $9.20, so
5.1 * 9.20 = 46.92
We will be using this number a little later. Next, we have to find out how much Maria got paid on Tuesday, so we have to multiply 7.35 hours by $9.20, so
7.35 * 9.20 = 67.62
Now, we will combine the numbers:
67.62 + 46.92 = 114.54
Therefore, Maria earned $114.54 this week
Hope this helps :)