Answer:
The answer to your question is 236 ft²
Step-by-step explanation:
Data
height = 5 ft
width = 6 ft
length = 8 ft
Area = ?
Process
I will consider that the crate is a rectangular prism which has 6 sides
1.- Find the area of the sides that measure 8 x 6
Area = 2 (8 x 6)
= 2(48)
= 96 ft²
2.- Find the area of the sides that measure 8 x 5
Area = 2(8 x 5)
Area = 2(40)
Area = 80 ft²
3.- Find the area of the sides that measure 6 x 5
Area = 2( 6 x 5)
Area = 2(30)
Area = 60
4.- Find the total area
Area = 96 + 80 + 60
Area = 236 ft²
5.- Conclusion
She needs 236 ft² of paint
Answer:
You can proceed as follows:
Step-by-step explanation:
First solve the quadratic inequality 
. To do that, factorize, then we have that 
. This implies that
or
In the first case the solution is the empty set 
. In the second case the solution is the interval 
. Now we have that
![A=[1,4]](https://tex.z-dn.net/?f=A%3D%5B1%2C4%5D)
![C=(3,4]](https://tex.z-dn.net/?f=C%3D%283%2C4%5D)
.
To show that 
consider 
. Then 
, this implies that 
, then 
. Now, to show that 
consider , then , then 
, then ![x\in [1,4] \, \text{and}\, x\in (3,5)](https://tex.z-dn.net/?f=x%5Cin%20%5B1%2C4%5D%20%5C%2C%20%5Ctext%7Band%7D%5C%2C%20x%5Cin%20%283%2C5%29)
, this implies that .
Observe the image below.
Original:
<span>The width and length of a rectangle are consecutive odd integers
</span>so W = x and L = x + 2
<span>If the length is increased by 5 feet, then new L = x + 2 + 5 = x + 7
</span>
A = L x W
60 = (x + 7) x
60 = x^2 + 7x
x^2 + 7x - 60 = 0
(x - 5)(x + 12) = 0
x = 5 and x = -12
From here you have x = W = 5 ft and L = x + 2 = 5 + 2 = 7 feet
Area of original = 5 x 7 = 35
answer
<span>the area of the original rectangle: </span>35 ft^2
Answer:
30 degrees
Step-by-step explanation:
USE the sine function to determine S. Set up the equation:
sine(S) = 1/2 -->
S = Sine^-1(1/2) -->
S = 30 degrees
