Answer:
1-m=-5/3
2-m=0
Step-by-step explanation:
44 square feet
Diameter (4) divided by 2 is radius (2).
SA = 2πr^2 + 2πrh
SA = 2 * 3.14 * 2^2 + 2 * 3.14 * 2 * 3
SA = 2 * 3.14 * 4 + 2 * 3.14 * 2 * 3
SA = 6.28 * 4 + 6.28 * 3
SA = 25.12 + 18.84
SA = 43.96
Round to the nearest tenth.
SA = 44 square feet
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Answer:
Part 1) The volume of each beam is 
Part 2) You can fill 
Part 3) Yes, the amount of sand left over is 
Step-by-step explanation:
Part 1) What is the total volume of each beam?
The volume of a cylinder is equal to

we have

----> the radius is half the diameter
assume

substitute the values


Part 2) How many beams can you fill with this sand?
we know that
You are given a container with a 50,000 sq ft of sand for your beams
<em>Note</em> Is a 50,000 cubic foot of sand instead of 50,000 sq ft of sand
Divide the total volume of sand by the volume of each beam to obtain the number of beams

Round down

Part 3) Will you have any sand left over? If so how much?
yes

G(x) = sqrt(x + 3) is obtained from f(x) = sqrt(x) by shifting the graph of f, 3 units to the left.
Answer:
382 cm²
Step-by-step explanation:
The shape can be decomposed into two rectangular prism or cuboids
✔️Dimension of prism 1 (smaller prism):
L = 10 cm
W = 3 cm
H = 7 - 4 = 3 cm
Surface area of prism 1 = 2(LW + LH + WH)
= 2(10*3 + 10*3 + 3*3)
= 2(69)
Surface area of prism 1 = 138 cm²
✔️Dimension of prism 2 (larger prism):
L = 10 cm
W = 8 cm
H = 4 cm
Surface area of prism = 2(LW + LH + WH)
= 2(10*8 + 10*4 + 8*4)
= 2(152)
Surface area of prism 2 = 304 cm²
✅Surface Area of the composite shape = (Surface area of prism 1 + surface area of prism 2) - (2 × area of the base of prism 1)
= (138 + 304) - (2 × L × W)
= 442 - (2 × 10 × 3)
= 442 - 60
= 382 cm²