<span>let length of painting = L
and width = W
from area = length times width
180 inch^2 = L times W
but L = 5/4 times W
180 inch^2 = 5/4 times W times W
W^2 = (4 x 180)/5
W = 12
but L = 5/4 x W
L = 5/4 x 12
L = 15
</span>
<span>Answer: The dimensions of the painting are </span><u>12 x 15 inches</u>.
Answer:
x = 24.48, y = -15.52, z = 3.95 to the nearest hundredth.
Step-by-step explanation:
x+y-z=5 (a)
-x-4y-8z=6 (b)
3x+5y-4z=-20 (c)
Adding equations a and b:
-3y - 9z = 11 (d)
Now multiply equation b by 3:
-3x - 12y - 24z = 18 (e)
Adding c and e:
-7y - 28z = -2 (f) Multiply by 3 to give (g)
-3y - 9z = 11 (b) Multiply by -7 to give (h)
-21y - 84z = -6 (g)
21y + 63z = -77 (h) Adding g and h:
-21z = - 83
z = 3.952
and y is found bt substituting in equation d:
-3y - 9(3.952) = 11
y = ( 11 + 9(3.952) / -3
= -15.52.
Now find x by substituting for y an z in equation a:
x - 15.52 - 3.952 = 5
x = 5 + 15.52 + 3.952
= 24.476.
Answer:
For each part, find how many numbers have the stated characteristic, then divide by 21.
e.g. multiples of 5:
these would be 10, 15, 20, 25, and 30
so prob (a multiple of 5 ) = 5/21
Do the others the same way
B; if P equals one they would ha. have to divided it by 10 so do that to 4.3 and you would get 0.43
Answer:
x=100
Step-by-step explanation:
Because they are vertical angles, AEG=FEB
You can see that FED+DEB=FEB
Therefore, 80+20=FEB=100
Since FEB=100 and FEB=AEG
AEG=100
