N x n would be 8 an 8 and N x P would be 8 and 7
Answer:
17.3 ft
Step-by-step explanation:
To find the second leg, use the following: √c² - a². Substitute c for 28, and a for 22.
b = √28² - 22² <em>{Square 28 to get 784, and square 22 to get 484.}</em>
b = √784 - 484 <em>{Subtract 484 from 784 to get 300.}</em>
b = √300 <em>{Find the square root of 300.}</em>
b = 17.32051 <em>{Round to the nearest tenth.}</em>
b = 17.3 ft.
The bottom of the ladder will be 17.3 ft from the bottom of the building.
<em>I hope this helps! ^w^</em>
Answer:
No real solutions
Step-by-step explanation:
Use the discriminant to determine the number of real solutions to a quadratic equation.
The general form for a quadratic equation is ax² + bx + c
The discriminant is b² - 4ac
The following 3 rules apply...
1. If b² - 4ac > 0, then there are 2 real solutions
2. If b² - 4ac = 0, then there is one real solution
3. If b² - 4ac < 0 then there are no real solutions
For this problem,
a = 5
b = 6
c = 4
Plug them into b² - 4ac....
6² - 4(5)(4)
36 - 80
-54 so b² - 4ac < 0 , there are no real solutions
Answer:
The cost of one hamburger is $2.50
The cost of the soda will be $1.00
Step-by-step explanation:
Let the cost of one soda be s
and let the cost of one hamburger be h
Part 1) 2 sodas and 4 hamburgers cost $12.00
2s + 4h = 12
2 (s + 2h) = 12
Dividing the whole equation by 2, we get
s + 2h = 6
s = 6 - 2h (part 1)
Part 2) 4 sodas and 2 hamburgers costs $9.00
4s + 2h = 9 (part 2)
Substituting the value of s from part 1 in part 2, we get
4(6 - 2h) + 2h= 9
24 - 8h + 2h = 9
24 - 6h = 9
-6h = 9 - 24
-6h = -15
h = -15/-6
h = 2.5
So, the cost of one hamburger is $2.50
s = 6 - (2 * 2.50)
s = 6 - 5 = 1
the cost of the soda will be $1.00
