Answer:
143
Step-by-step explanation:
41 + 102 = 143
180- 143= 37
180 - 37 = 143
Answer:
a) 2.7 sec
b) 2.6 sec
c) 30.3 ft, 1.3 sec
Step-by-step explanation:
graphed the equation and determined answers from the curve
(i) The area of the cross section ABCDEFG is 1771.6cm³
(ii) The volume of the concrete lab is 212592 cm³
(iii) the total surface area of the concrete slab is 30284 cm²
(iv) The mass of the concrete slab is 40746.8 kg/m³.
Given, dimensions are 120 cm by 60 cm by
40 cm.
(i) area of cross section = 40 × 60 ₋ π(60 ₋10 ₋ 10)/2 . 1/2
= 1771.6 cm³
(ii) the volume of the concrete slab = 40 × 60 × 120 ₋ 1/2 π((60 ₋ 10 ₋10)/2)² . 120
= 212592 cm³
(iii) The total surface area is:
=40 × 120 × 2 ₊ 60 × 120 ₊ 1771.6 × 2 ₊ 10 × 120 × 2 ₊ 1/2 π(60 ₋ 10 ₋10) × 120
= 30284 cm²
(iv) Mass of the concrete slab given density is 2300 kg/m³
Mass = Volume × density
Mass = 17.716 m³ × 2300
= 40746.8 kg/m³
Hence we get the mass as 40746.8 kg/m³.
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Answer:
4
Step-by-step explanation:
We can see from the two marked points the coordinates are: (2, 8) and (4, 16)
That means the rise (vertical change) is 16 - 8 = 8 units. And the run (horizontal change) is (4 - 2) = 2 units.
Therefore slope = rise/run = 8/2 = 4.