I believe it’s a 76. It’s the only one that makes since
Answer:
8. 504ft²
9. 4970yd² (rounded to 3 s.f.)
Formulas (For easy reference):
Area of rectangle = length × breadth
Area of circle = pi×r×r
Circumference of circle = pi×r×2
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Step-by-step explanation:
8. You know a box has 6 sides, and there are 3 types of surfaces that are different from each other, and you have to multiply each side by 2 cus there are the front and backside (You can draw the box with its dimensions to see the 3 types of surfaces and why I multiplied by 2):
(2×12×6) + (2×12×10) + (2×6×10) = 144 + 240 + 120
= 504ft²
9. The net of a cylinder contains two circles of radius 24yd and one long sheet to wrap around the circles with the length that is the circumference of the circle (so that it can wrap around the two circles) and a width which is the height of the cylinder (9yd).
2 Circles = 2×pi×24×24
= 1152pi
Long sheet = 9×24×2×pi
= 432pi
Now we can add all of them together:
432pi+1152pi = 1584pi
= 4970yd² (rounded to 3 s.f.)
Answer:
Step-by-step explanation:
(a) In order to use the elimination method, multiply the second equation by 2.
It becomes 2x + 4y = 20.
Subtract that from the first equation: 3x + 4y = 12
3x + 4y - 2x - 4y = 12 - 20
x = -8
Put that back in the second equation: -8 + 2y = 10
2y = 18
y = 9
(b) In order to use the substitution method, subtract 2y from the second equation.
It becomes x + 2y - 2y = 10 - 2y
x = 10 - 2y
Substitute that into the first equation:
3(10 - 2y) + 4y = 12
30 - 6y + 4y = 12
30 - 2y = 12
2y = 18
y = 9
Put back into the equation for x:
x = 10 - 2(9)
= 10 - 18
= -8
Answer:
x= π/3, 2π/3, 4π/3, 5π/3
Step-by-step explanation:
Sin^2 (x) = 3/4
Or, Sin^2 (x) - 3/4= 0
Or, Sin^ (x) - ( root 3/ 2)^ 2 = 0 ( Transformed 3/4 into √3/2 format so that if we square it, the value doesn't change)
Or, (Sin (x) + √3/2) (Sin (x) - √3/2) = 0
Or, Sin (x) = ± (√3/2)
Hence, x= π/3, 2π/3, 4π/3, 5π/3 as the range is between 0 to 360 degree.
Bianca's speed: 60 mph
<span>Colin's speed: (150)/(2.5) = 60 mph </span>
<span>Dave's speed: (105)/(7/4) = 60 mph
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