Answer:
<u>8</u>
Step-by-step explanation:
Now consider an experiment of tossing three coins simultaneously. The possible outcomes will be HHH, TTT, HTT, THT, TTH, THH, HTH, HHT. So the total number of outcomes is 23 = <u>8</u>.
EF = 15 cm.
Step-by-step explanation:
Step 1:
If the quadrilaterals, ABCD and EFGH are similar their side lengths will be of the same ratio throughout.
Comparing the quadrilaterals, we have AB and EF are similar, BC and FG are similar, CD and GH are similar, DA and HE are similar.
So the ratio of all these sides will be equal.
Step 2:
Of these lengths, we only have the values for AB, BC, CD, DA, GH, HE and need to determine the length of EF. By substituting the known values the ratio becomes;
So cm. Which is the second option.
Answer:
length = 7 meters
Step-by-step explanation:
l = length
w = width
w = 3×l - 6
l×w = 105 m²
l×(3×l - 6) = 105
3×l² - 6×l = 105
l² - 2×l = 35
l² - 2×l - 35 = 0
solution of a squared equation is
(-b ± sqrt(b² - 4ac))/(2a)
a = 1
b = -2
c = -35
(2 ± sqrt(4 - 4×-35))/2 = (2 ± sqrt(4+140))/2 =
(2 ± sqrt(144))/2 = (2 ± 12)/2 = 1 ± 6
l1 = 1+6 = 7 meters
l2 = 1-6 = -5 meters, which did not make any sense for an actual object.
so, l = 7 meters remains.
Don’t know if that will help but there u go!
Answer:
14
Step-by-step explanation:
We can find the value of x using similarity ratio
(2x-7)/57 = (x+4)/51 cross multiply expressions
51×(2x-7) = 57×(x+4)
102x - 357 = 57x + 228
102x - 57x = 228 + 357
45x = 585 divide both sides with 45
x = 13