Answer:
The area of tarpaulin is 1315.63 ft^2.
Step-by-step explanation:
height, h = 20 feet
circumference, C = 102 feet
Let the radius is r.
Circumference, C = 2 x 3.14 x r = 102
r = 16.24 feet
Let the slant height is L.

The curved surface area is
S = 3.14 x r x L
S = 3.14 x 16.24 x 25.8 = 1315.63 ft^2
You can arrange your reindeer 30 different ways.
Answer:
The answer is 743.4 square inches
Step-by-step explanation:
1. find the length- 2 x 40=80 cm
2. find the width- 1.5 x 40= 60cm
3. find area (Length x width)- 80 x 60= 4800 square cm
4. find length but in inches- 1in=2.54cm length=80/2.54 = 31.5 inches
5. find width but in inches- width= 60/2.54= 23.6 inches
6. Find area(length x width)- 31.5 x 23.6= 743.4 square inches
Answer:
The length of the garden=14 feet
Step-by-step explanation:
<em>Step 1: Determine the dimensions of the garden</em>
length of the garden=x feet
width of the garden=(x-4) feet
<em>Step 2: Determine the area of the garden</em>
Area of the garden=length×width
where;
area=140
length=x
width=x-4
replacing'
x(x-4)=140
x²-4x-140=0, solve the quadratic equation;
x={-b±√(b²-4ac)}/2a
x={4±√4²-4×1×-140}/2×1
x={4±√(16+560)}/2
x={4±√576}/2
x=(4±24)/2
x=(4+24)/2=14, or (4-24)/2=-10, take x=14
The length=14 feet, width=(14-4)=10 feet
The length of the garden=14 feet
Given:
27y and 54y³
To find:
The highest common factor (HCF) using prime factorization.
Solution:
We have,
27y and 54y³
Using the prime factorization, we get


Now, the common prime factors are 3, 3, 3 and y. So,


Therefore, the highest common factor of the given terms is 27y.