<u>Answer</u>
B. Length = 37, width = 28
<u>Explanation</u>
Let the length of the rectangle be x,
width is 9 less. So, width = x - 9
Perimeter of a rectangle = 2(length + width)
2(length + width) = 130
2(x + x - 9) = 130
2(2x - 9) = 130
4x - 18 = 130
4x = 130 + 18
4x = 148
x = 148/4
= 37
<em>Length = 37</em>
<em>Width = 37 - 9 = 28</em>
Answer:
Total cost of cementing the path = Rs. 17,000.
Step-by-step explanation:
Let the square garden be ABCD
Let the region inside the garden (ABCD) be WXYZ.
<u>Given the following data;</u>
Length of sides of ABCD = 90m
Width of path = 5m
Cost = Rs. 10 per m²
Area of ABCD = 90 * 90
Area of ABCD = 8100m²
<em>To find the area of WXYZ;</em>
WX = WZ = 90 - (5 + 5)
WX = WZ = 90 - 10
WX = WZ = 80m
Area of WXYZ = WX * WZ
Substituting into the equation, we have;
Area of WXYZ = 80 * 80
Area of WXYZ = 6400 m²
Area of path = Area of ABCD - Area of WXYZ
Area of path = 8100 - 6400
Area of path = 1700 m²
Total cost of cementing the path = Area of path * cost
Total cost of cementing the path = 1700 * 10
<em>Total cost of cementing the path = Rs. 17,000</em>
Answer:
c = 2 * 3.14 * r and c = 3.14 * d
Step-by-step explanation:
The formulas for the circumference of a circle are
c = 2πr and c = πd
where r is the radius and d is the diameter
using π = 3.14
the formulas become
c = 2 * 3.14 * r and c = 3.14 * d
Answer:
The expected revenue of the tour operator is 985.
Step-by-step explanation:
There are two outcomes:
Either less than 21 tourists show up and the operator does not have to pay anything. Or 21 tourists show up and the operator has to repay 100.
Anyways, initially he gets the price of all the tickets sold. That is 21 each at 50, so
.
Then, we need to find the probability that all of the 21 tourists show up. In this case, we have to subtract 100 from the revenue.
Each tourist has a 0.02 probability of not showing up. This means that each has a 1-0.02 = 0.98 probability of showing up. So the probability P that all 21 tourists show up is
.
So, the expected revenue of the tour operator is

Rounded up, the expected revenue of the tour operator is 985.
Answer:
Step-by-step explanation:
a) She uses 23 pages (but the last page has 2)
b) 2
c)Jane needs 82 more stickers because
50pages-23=27
27x3(stickers, befcuaase 3 stickers per page)=81
81+1=82 because on 23 page theres only 2 sticker
Hope this helps