We have been given that Susan has a 12-inch board for constructing a wooden chair.The directions say to use a board that is 29 centimeters long. We are asked to determine if Susan's board is long enough to cut or not.
We know that 1 inch is equal to 2.54 cm.
Let us convert 12 inches into cm by multiplying 12 by 2.54.
Since 12 inches is equal to 30.48 centimeters and 30.48 is greater than 29, therefore, Susan's board in long enough to cut.
Answer:
x = 28
Step-by-step explanation:
With 3 angles I'm guessing its a triangle so all triangles equal 180 degrees
42 + 110 = 152
180 - 152 = 28
-(2y-8)-3(1+x)-7
-10y+40-3(1-x)-7
-10y+40-3-3x-7
-10y+30-3x
The pints of paint that Mike needs to buy in order to paint 4 boxes is 9 pints.
How many pints is needed?
The first step is determine the total surface area of a box.
Total surface area of a cuboid = 2 (lw + wh + lh)
where:
l = length
w = width
h = height
2 x[ (5 x 9/2) + (9/2 x 7/2) + (5 x 7/2) ]
2 x ( 45/2 + 63/4 + 35/2) = 111.5ft
The second step is to determine the total surface area of 4 boxes:
111.5 x 4 = 446
Now, divide 446 by 50
446 / 50 = 9 pints
First, solve for the volume (V) of each cylinder by the equation,
V = πd²h / 4
where d and h are diameter and height, respectively. Substituting the given values,
V = π(6.19 cm)² x (6 cm) / 4 = 180.56 cm³
To determine the number of cylinders needed, divide the volume of the solid block by the volume of the cylinder,
n = 360 cm³ / 180.56 cm³ = 1.99
Thus, approximately 2 cylinders are needed to mold one block of gold.
