Answer:
94 cm^2
Step-by-step explanation:
The surface area of a rectangular prism can be found using:
A=2(wl+hl+hw)
We know the width is 3, the height is 5, and the length is 4. We can substitute 3 in for w, 5 in for h, and 4 in for l.
A=2((3*4)+(5*4)+(5*3))
Multiply 3 and 4
A=2(12+(5*4)+(5*3))
Multiply 5 and 4
A=2(12+20+(5*3))
Multiply 5 and 3
A=2(12+20+15)
Add 12 and 20 and 15
A=2(47)
Multiply 2 and 47
A=94
So, the the surface area is 94 cm^2
Answer:
Simplifying
x = -25
Step-by-step explanation:
Reorder the terms:
10x + -6(5 + 2x) = 20
10x + (5 * -6 + 2x * -6) = 20
10x + (-30 + -12x) = 20
Reorder the terms:
-30 + 10x + -12x = 20
Combine like terms: 10x + -12x = -2x
-30 + -2x = 20
Solving
-30 + -2x = 20
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '30' to each side of the equation.
-30 + 30 + -2x = 20 + 30
Combine like terms: -30 + 30 = 0
0 + -2x = 20 + 30
-2x = 20 + 30
Combine like terms: 20 + 30 = 50
-2x = 50
Divide each side by '-2'.
x = -25
Y= -1x + -1 is the answer
The best way to approach this problem is to look at the graph of the given function. Replace values of x from 1 to 24 to indicate the numbers of hours in a day. As seen on the graph, there is only one point where the port is at high tide. That would be at 1:00 am.
Looking at the graph, it would be safe for the boats to be in the port when the graph levels off at around 10 to 24. That's from 10 am to before 12 midnight. Then, they would have to stay away between 12 midnight to before 10 am.
Using cosine rule, the length of the required side = sqrt(32^2 + 35^2 - 2 x 32 x 35cos 120)
= sqrt(1024 + 1225 - (-1120))
= sqrt(2249 + 1120)
= sqrt(3369)
= 58.04