Answer:
The total length of the pathway now is 1,541 ft
Step-by-step explanation:
To calculate the length of the pathway now, what we need to do is to have a consistency in units.
Thus, we need to convert the 513 yards to ft
Mathematically 1 yard = 3 feet
Thus 513 yards will be = 513 * 3 = 1,539 ft
Thus the total length of the pathway now will be 1539 ft + 2 ft = 1541 ft
Answer:
The length is 24, width is 6
Step-by-step explanation:
Since we know the length and width cannot both be 12 (to make 144), other factors of 12 can be tested to be a product of 144. Half of 12 is 6, and 24 * 6 = 144. If we add up 12 + 12 + 6 + 6, we get 60, or the given perimeter.
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You cannot solve for x but you can factor
to solve in ax^2+bx+c form you must find
b=x+y
a times c=x times y
so solve
3 times 3=9
what 2 number multily to get 9 and add to get 10
9=x times y
the numbers are 9 and 1 so
3x^2+1x+9x+3
(3x^2+1x)+(9x+3)
factor
(x)(3x+1)+(3)(3x+1)
reverse distribute
ab+ac=a(b+c)
(x)(3x+1)+(3)(3x+1)=(x+3)(3x+1)
factored out form is (x+3)(3x+1)
9.7 is the answer............................
Problem 9.
Using the Angle Addition Postulate,
m<QRS + m<SRT = m<QRT
Now we replace the measures of the three angles above with the value or expressions we are given, and we solve for x.
2x + 8 + 3x + 14 = 82
5x + 22 = 82
5x = 60
x = 12
m<QRS = 2x + 8 = 2(12) + 8 = 24 + 8 = 32
Answer: 32 degrees
Problem 10.
Using the Angle Addition Postulate,
m<ABC + m<CBD = m<ABD
Now we replace the measures of the two angles above with the values we are given, and solve for the unknown angle.
115 + m<CBD = 180
m<CBD = 180 - 115
m<CBD = 65
Answer: m<CBD = 65 degrees