Answer:
length = 60m
Step-by-step explanation:
let '3x' = length
let '2x' = width
3x + 3x + 2x + 2x = 200
10x = 200
x = 20
length = 3x = 3(20) = 60
S = (-5,0)
T = (2,1)
Step-by-step explanation:
Step 1 :
Given
Q = (3,6) and R = (-4,5). P = (-1,3)
Let S be (a,b) and T be (c,d)
The diagonals of a parallelogram bisect each other. so in order to ensure that QRST is a parallelogram, P must be the mid point of the diagonals QS and RT.
Step 2 :
P is the midpoint of QS
So we have (3+a) ÷ 2 = -1 and (6 + b) ÷ 2 = 3
=> 3 + a = -2 and 6 + b = 6
=> a = -5 and b =0
So S should be (-5,0)
Step 3 :
P is the midpoint of RT
So we have (-4+c) ÷ 2 = -1 and (5 + d) ÷ 2 = 3
=> -4+ c = -2 and 5 + d = 6
=> c = 2 and d =1
So T should be (2,1)
Step 4 :
Answer :
S = (-5,0)
T = (2,1)
Take the mixed number apart and have a whole number and a fraction
1+4 and 5/8 + 7/8
1+4=5
5/8 + 7/8 = 12/8
12/8 = 1 4/8
Add 5 to 1 4/8
5 + 1 4/8 = 6 4/8
1 5/8 + 4 7/8 = 6 4/8
In simplest term, the answer is also 6 1/2
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Another way to solve it is by turning both 1 5/8 and 4 7/8 into improper fractions.
1 5/8 = 13/8
4 7/8 = 39/8
Add them.
13/8 + 39/8 = 52/8
Turn 52/8 into a mixed number.
52/8 = 6 4/8
Simplify it to get 6 1/2.
Answer:
x=5 and x=15
Step-by-step explanation:
3x^2-60x+225=0
3x^2-60x+225/3=0/3
x^2-20x+75=0
x^2-5x-15x+75=0
x(x-5)-15(x-5)=0
(x-5)(x-15)=0
x-5=0 x-15=0
x=5 x=15
Answer:
I am pretty sure it is 53cm.
Step-by-step explanation:
If it were in a cylinder shape 10 x 8 is 80 but is is in the shape of a cone so the volume lessens so it can't be 80cm or 160cm. 27cm is a bit to low so that is why I am 90% sure it is 53cm.
