A.) 10x + 7.5 (0) =420
10x = 420
420 / 10 = 42
x = 42 > ( 42,0 )
10(0) + 7.5y = 420
7.5y = 420
420 / 7.25 = 56
y = 56 > ( 0,56 )
(42,0) (0,56)
B.) The x intercept means that there was 42 ,minutes spent biking. The y intercept means that there was 56 minutes spent in line skating.
C.) (21 ,28) - (14,37) - (28,18)
(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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1. is line FG
2. is line IH
3. is angle J
4. is angle H
5. is 12 cm.
6. is 4 cm.
7. is 135
8. is 150
9. sorry can't help you on this one.
10. is 150+90+90=330
Answer:
word form: One hundred three million seven hundred twenty seven thousand four hundred and ninety five.
expanded form: 100,000,000+3,000,000+700,000+20,000+7,000+400+90+5.
