Answer:
Step-by-step explanation:
30).
degree ( 4 + 1 = <em>5</em> ; 1 + 1 = 2 and 2 + 2 = 4 )
31) D) Choice D
Area of the field should be 9*10 = 90 square feet.
a bag of grass seeds cover 15 square feet.
so if you need to know how many bags should be used, then,
Total area of field/ area covered by 1 bag of grass seeds.
= 90/15 = 6 bags
he needs to use 6 bags of grass seeds to cover the whole field.
I don't think there are any 'hidden' questions, though you can consider the 2nd part of the question I guess. (how many bags of seed will Paul...)
ΔAOB is a right angled triangle. Therefore the Pythagorean Theorem applies in this situation.
θ is the angle from a standard position of the line OA
The length of the y component is √(1-0)2 +(-3-(-3))2] =√(12+ 02) = 1 A(-3,1) to B(-3,0) which is opposite
Then the length of the x-component is √[(-3-0)2 +(0-0)2] = √(9+0)= 3 B(-3,0) to O(0,0) which is adjacent
The length of vector OA is √[(-3-0)2 + (1-0)2] = √(9+1) = √(10) A(-3,1) to O(0,0) which is the hypotenuse of the triangle
θ = 180 - α
sinθ = sin(180-α) = opposite/hypotenuse = 1/√10
cosθ = adjacent/hypotenuse = -3/√10
tanθ = opposite/adjacent = 1/-3 = -1/3
α= arcsin(1/√10) ≈ 18
θ =180 -18 ≈162
a) 9/212 = #mph
b)0.000142045 Miles / 0.000277778 hours = # mph
Step-by-step explanation:
a) 9/212 = #mph
b)
1)9 inches divide the length value by 63360 is 0.000142045 Miles
2) 1 hour 3600 seconds in ones hour so 1/3600 =0.000277778
3) take miles/hour
0.000142045 Miles / 0.000277778 hours = # mph