Answer:
184 in²
Step-by-step explanation:
Given :
Width, w = 6 inches
Length, l = 10 inches
Height, h = 2 inches
To obtain how much wrapping paper is needed ; we take the surface area of the box
Surface area = 2(lw + lh + wh)
Surface area = 2((6*10) + (6*2) + (10*2))
Surface area = 2(60 + 12 + 20)
Surface area = 2(92)
Surface area = 184 in²
The amount of wrapping paper needed = 184 in²
Part (a)
<h3>Answer: y1 and y3 are perpendicular</h3>
This is because the two slopes 2 and -1/2 multiply to -1. Perpendicular slopes multiply to -1 assuming neither line is vertical or horizontal.
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Part (b)
Graph each line to see where they cross. The three points of intersection are
(0,4)
(2,-2)
(4,2)
The order of the points doesn't matter.
You could also form three systems of equations pairing up the equations, and solving each system. That way you can find the points of intersection. Graphing may be a better and faster route in my opinion. See the diagram below.
The number is 3 because 3 multiplied by itself (3) is equal to 9.
DI/dx=-850x+45500
d2l/d2x=-850 so when dl/dx=0 it is an absolute maximum for l(x)...
dl/dx=0 only when:
850x=45500
x=53.53
x=54 years of age (rounded)
Answer:
z = 23 degrees
Step-by-step explanation:
Total degree inside a triangle = 180
We can add up the 2 angles we got.
62 + 95 = 157
Subtract 157 from 180.
180 - 157 = 23
Check = the angle missing is an acute angle (less than 90 degrees) and 23 is less than 90 degrees so it is possible.
I hope this helped and please mark me as brainliest!
