<h3>Answer:</h3>
Length: 12 yd
Width: 5.5 yd
<h3>Explanation:</h3>
Let x represent the width of the rectangle in yards. Then 2x+1 can represent the length (double the width plus 1 yard). The area is the product of length and width so we have the relation ...
... x(2x+1) = 66
... 2x² +x -66 = 0
This can be solved using any of several methods. One of them is to factor the equation. To do that, we can look for factors of 2·66 = 132 that differ by 1. Since 132 = 11·12, those are the numbers we're looking for. Then ...
... 2x² +12x -11x -66 = 0 . . . . use our found numbers to rewrite the x term
... 2x(x +6) -11(x +6) = 0 . . . . .factor by grouping
... (2x -11)(x +6) = 0
... x = 11/2 or -6 . . . . . values that make the factors zero. Only the positive value is a useful solution.
... The width of the rectangle is 5.5 yards. Its length is 2·5.5+1 = 12 yards,
Answer:
x=26
C = 91
Step-by-step explanation:
The sum of the angles of a triangle add to 180 degrees
A + B+ C = 180
35+ 52+ 3(x+5) = 180
Distribute
35+52+3x+15 = 180
Combine like terms
102 +3x = 180
Subtract 102 from each side
102-102 +3x=180-102
3x= 78
Divide by 3
3x/3 = 78/3
x=26
Now we need to find angle C
c = 3(x+5)
C = 3(26+5)
3(31)
93
Answer:
When you are adding or subtracting a negative fraction, you usually want to consider the numerator as negative. The method is just the same, except now you may need to add negative or positive numerators. Example 1: ... To add the fractions with unlike denominators, rename the fractions with a common denominator.
Step-by-step explanation:
<em>I GOT YOU!!!!</em>
answer = 9c²d^8
(3cd^4)^2
=(3)^2 × c^2 × (d^4)^2
=9×c^2×d^8 ----law of indices (a^m)^n = a^mn
=9c²d^8
So the formula for the circumference of a circle is π x diameter
Since we know the the circumference already, we just divide that by π:
12π / π = 12
Now we halve the diameter to get the radius:
12 / 2 = 6
The area of a circle is π x radius²
So the area is:
·π x 6² = 36π· (or 113 not in terms of π)
