The surface area of the rectangular prism is 52 square feet (
), if the height is 4 feet, width is 3 feet and depth is 2 feet.
Step-by-step explanation:
The given is,
A rectangular prism of
Let, h - height of the rectangular prism
w - Width of the rectangular prism
d - Depth of the rectangular prism
Step:1
From given,
h = 4 feet
w = 3 feet
d = 2 feet
Step:2
Formula to calculate the surface area of the rectangular prism is,
Substitute the values of w,d and h
= 2 [(3×2) + (4×2) + (4×3)]
= 2 (6+8+12)
= 2 × 26
= 52
A = 52 Square feet
Result:
Thus the surface area of the rectangular prism is 52 square feet (), if the height is 4 feet, width is 3 feet and depth is 2 feet.
When raised to the third power, it is the number times itself three times.
-2(-2) = 4
4(-2) = -8
Answer:
1.
m= 
b= 2
2.
m= 
b= 1
3.
m= 3
b=4
Step-by-step explanation:
1. The line intersects the y-axis at the point (0,2) therefore its y-intercept is b=2.
The line rises up 1 unit on the y-axis for every 4 units on the x-axis therefore the line has a slope of m=1/4.
Considering the equation of a line (y=mx+b), we plug in the variables we have found into the formula to find that
2. The line intersects the y-axis at the point (0,1) therefore its y-intercept is b=1.
The line down up 1 unit on the y-axis for every 3 units on the x-axis therefore the line has a slope of m= -1/3.
Considering the equation of a line (y=mx+b), we plug in the variables we have found into the formula to find that
3. The line intersects the y-axis at the point (0,4) therefore its y-intercept is b=4.
The line rises up 3 units on the y-axis for every 1 unit on the x-axis therefore the line has a slope of m=3.
Considering the equation of a line (y=mx+b), we plug in the variables we have found into the formula to find that
Answer:
80, every 5 percent is 4 people. So every 25% is 20. 20 x 4 is 80.
Step-by-step explanation:
I'll do part (a) to get you started.
The angle 'a' pairs up with the 123 degree angle as a corresponding angle pair. Due to the parallel lines, the corresponding angles are congruent. Therefore a = 123.
We also see that b = 123 as well since a = b (they are vertical angles).
Notice how angle c is adjacent to the 123 degree angle. These two angles form a straight line, so they must add to 180 degrees.
c+123 = 180
c = 180-123
c = 57
-------------------------
To summarize, we have these three angles
a = 123
b = 123
c = 57
