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Ans</em></u>wer:
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Assuming he works at a constant rate, the daily rate Mark rakes lawns in the fall is 40% of the daily rate he mows lawns in the summer.
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Step-by-step explanation:
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Fall:
5 neighbors' lawns / 2.5 hours = 2 lawns per hour
Summer:
6 neighbours' lawns / 1.2 hours = 5 lawns per hour
2 x 100% / 5 = 40%
2 is 40% of 5
Answer:
The common difference would be calculated as:
(a21-a19)/2
(-164--(-58 ))/2 (Replacing the values )
(-164 +58)/2 (Changing signs)
(-106)/2(Subtracting)
-53
Then we are going to replace the common difference(d) in the sequence formal with the 21st term . It is done for finding the first term of the sequence.
a21=a0+d*(n-1)
-164=a0+-53*(21-1) (Replacing the values)
-164=a1-53(20) (Subtracting)
-164=a1-1060 (Multiplying )
-164+1060=a1 (Adding 1060 on both sides of the equation)
896=a1
The answer would be : an= 896-53*(n-1), which is the option B.
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First off when multiplying fractions you always multiply straight across. so the answer would be -5/12.
<span>The parent cosine function can be transformed and translated. So, from the basic function cos(x) we can obtain function acos(bx+c). In our case, a=3- amplitude, b=10- the period change and c=-pi- the phase shift. So, the parent cosine function is mutiplied with 3 (which gives the amplitude of the function, 3*0.5=1.5). The period of the function is changed, and is 2pi/b=2pi/10=pi/5 and the cos(x) is phase shifted for c/b=-pi/10.</span>
Answer:
The given shape is Trapezium
Area of Trapezium= 1/2h(L1+L2)
=1/2×7×(11+3
=1/2×7×14
=49
Your answer is 49