Answer:
Q5) 7
Q6) 4
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Step-by-step explanation:
Answer:
The area of the rectangular coral = 2,976 ft²
Step-by-step explanation:
Bryce has 220 ft of fencing to fence a rectangular coral.
Let the dimensions of the corral be x ft. × y ft.
One side of the coral is 48 ft. long
A rectangle has 4 sides, with each of the two opposite sides with the same dimension. Hence, the perimeter of the rectangular coral = 2(x + y) = 2x + 2y.
Total length of material for fencing = 220 ft.
Hence the perimeter of the reef = 220 ft.
2x + 2y = 220
And one length of the rectangular coral = x = 48 ft.
We can solve for the remaining dimension of the rectangular coral this way.
2(48) + 2y = 220
2y = 220 - 96 = 124
y = (124/2) = 62 ft.
Hence, the area of the rectangular coral = xy = 48 × 62 = 2,976 ft²
Hope this Helps!!!
Answer:
7.1 (7.06 rounded to the tenth)
Step-by-step explanation:
The formula for Area of a Circle is: π·r²
R = Radius
π = pi, or 3.14
As long as you know the formula, this is easy!
In class, you may have already been told that the radius is <em>half </em>of the diameter.
1. Half of 3 ft is 1.5 ft.
2. Plug 1.5 in for r, in your calculator
3. Do the calculation, and you should come out to get 7.06858347058
4. Round it!
Finding area for a circle is satisfying, isn't it? xD
Answer:
9/64
Step-by-step explanation:
For similar triangles, the ratio of areas is the square of the ratio of corresponding sides.
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The ratio of areas is (3/8)² = 9/64.
<h3>Answer: </h3>
The GCF is 4
The polynomial factors to 
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Further explanation:
Ignore the x terms
We're looking for the GCF of 12, 4 and 20
Factor each to their prime factorization. It might help to do a factor tree, but this is optional.
- 12 = 2*2*3
- 4 = 2*2
- 20 = 2*2*5
Each factorization involves "2*2", which means 2*2 = 4 is the GCF here.
We can then factor like so

The distributive property pulls out that common 4. We can verify this by distributing the 4 back in, so we get the original expression back again.
The polynomial inside the parenthesis cannot be factored further. Proof of this can be found by looking at the roots and noticing that they aren't rational numbers (use the quadratic formula).