Answer:
150m^2
Step-by-step explanation:
Given data
a=8m
b=17m
h=12m
We know that the expression for the area of a trapezoid is given as
Area= (a+b/2)*h
substitute
Area= (8+17/2)*12
Area= 25/2 *12
Area= 12.5*12
Area= 150 m^2
Hence the area is 150m^2
Area=legnth times width
legnth is 1 less than 2 times width
l=legnth
w=width
l=-1+2w
l=2w-1
area=lw
area=45
subsitute
45=lw
45=(2w-1)w
distribute
45=2w^2-w
subtract 45 from both sides
0=2w^2-w-45
factor because if we have xy=0 and we factor we can assume that x and/or y=0 so
trial and error factor
0=(2w+9)(w-5)
set each to zero
0=2w+9
subtract 9
-9=2w
divide 2
-4.5=w
impossible since width cannot be negative so discard
w-5=0
add 5 to both sides
w=5
true
subsitute
l=2w-1
l=2(5)-1
l=10-1
l=9
w=5 cm
l=9 cm
Answer:
5.48
Step-by-step explanation:
First, we convert all the fractions into improper fractions. 1 3/7 is 10/7, 3 5/9 is 32/9, and 1/2 stays the same. then we find a common denominator, which would be the LCM of 7, 9 and 2, which is 126. Finally, we rewrite the fractions with the common denominator of 56, and we get 180/126, 448/9 and 63/126. adding these together we get 691/126, which is approximately 5.48412698, which we can round to 5.48
Answer:
96 in
Step-by-step explanation:
<span>the pythagorean theorem says the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides (when u add them together)</span>