Answer:
c
Step-by-step explanation:
Given that:
since cos (kπ) = 
Then, the series can be expressed as:
In the sum of an alternating series, the best bound on the remainder for the approximation is related to its 
term.
∴
Answer:
19.0681
Step-by-step explanation:
Given in the question that,
angle from ted to the dog = 60° with the ground
height of ted from the ground = 16ft
To find,
distance between dog and the door of ted's building
Considering the scenario make a right angle triangle:
<h3>By using pythagorus theorem:</h3>
Tan 40 = opposite / adjacent
Tan 40 = height / distance between dog and the door
Tan 40 = 16ft / x
x = 16 / tan40
x = 19.068057
x ≈ 19.0681 (nearest to thousand)
So, the dog need to walk 19.0681ft to reach the open door directly below Ted.
Answer :
(a) Amount paid after using the coupon = $b - $5 = $(b-5)
(b) Amount paid = $23.45 - $5 = $(23.45-5) = $18.45
Amount paid = $54.83- $5 = $(54.83-5) = $49.83
Step-by-step explanation :
As we are given that:
Amount of coupon = $5
If amount of total bill = $b
Now we have to calculate the amount paid after using the coupon.
Amount paid after using the coupon = Total amount of bill - Amount of coupon
Amount paid after using the coupon = $b - $5 = $(b-5)
Now we have to calculate the amount paid if bill was $23.45.
Amount paid after using the coupon = Total amount of bill - Amount of coupon
Amount paid = $23.45 - $5 = $(23.45-5) = $18.45
Now we have to calculate the amount paid if bill was $54.83.
Amount paid after using the coupon = Total amount of bill - Amount of coupon
Amount paid = $54.83- $5 = $(54.83-5) = $49.83
Answer: 1527
Step-by-step explanation:
Total Area = 7500 ft^2
Area covered by one student = Area of one circle
= π*r^2
r = radius of circle = 2.5/2 = 1.25 ft
Area covered by one student = π*1.25^2 = 4.91 ft^2
Number of students who can fit into total area = Total Area/Area covered by one student
Number of students who can fit into total area = 7500/4.91 = 1527.49
Hence the answer is 1527 students
we are asked to write an expression that uses partial products to multiply 8 and 64. In this case, we can break 8 into 2 x4 and 64 into 8x8. In this case, multiplying these factors equal to 512. Any factors will do actually since it will yield the same product.
