Answer:
base(b)=10 and height(h)=6
Step-by-step explanation:
From the question,
base(b)=x feet
height(h)=(x-4) feet
Area(A)=30 square feet
Now,
We know,
Area of triangle(A)=1/2*b*h
or, 30=1/2*x*(x - 4)
or, 30=1/2*x^2 -4x
or, 30*2=x^2 -4x
or, 60=x^2 -4x
or, 0 = x^2 -4x -60
or, 0 = x^2 +6x - 10x -60
or, 0 = x(x + 6) -10(x + 6)
or, 0 = (x+6) (x-10)
Either,
x+6=0. or, x-10=0
or,x= -6. or, x= 10
Since, the base of the triangle can not be negative number then, x≠ -6feet but x=10feet
Lastly,
Height(h)=X - 4
=10 - 4
=6 feet
You need to simplify the improper fraction into a mixed number.
43/4 = 10 3/4 (or 10.75)
You will want to have your answer as a mixed number, but multiplying might be easier if you use the decimal for calculations.
Now you multiply your mixed number or decimal by 3 (3 sections).
10.75 * 3 = 32.25 or 32 1/4
Your answer would be 32 1/4 meters.
Hope this helps :)
Answer: (-6, -16)
Step-by-step explanation:
6x-3y=12
-1(4x-3y=24)
6x-3y=12
-4x+3y=-24
2x=-12
x=-6
6(-6)-3y=12
-36-3y=12
-3y=48
y=-16
Answer:
FRACTION FORM P=3/4
DECIMAL FORM P=0.75
Step-by-step explanation:
1)Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation
2) simplify 21/20
3) 3 21
(— • (p + 1)) - —— = 0
5 20
4) 3 • (p + 1) 21
——————————— - —— = 0
5 20
5)calculate the least common multiple
6)left denominator is 5
7) right denominator is 20
8)so lcm is 20
9)calculate multipliers for both fractions
10) rewrite both into equivalent fractions
11) then multiply the numerator of each fraction
12)Add the two equivalent fractions which now have a common denominator
13)pull out the like factors
14)get rid of the denominator
15)the 20 cancels out on the left side
16)Add 3 to both sides of the equation :
4p = 3
17)Divide both sides of the equation by 4:
p = 3/4 = 0.750
HOPE THIS HELPS!!
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