Answer:
12√5
Step-by-step explanation:
According to the attached sketch, there are 2 triangles which we need to focus on, triangle A (in yellow) and triangle B (In red).
If you look at triangle A, we notice that X is the hypotenuse of triangle A. This means that X must be the largest length in triangle A, hence we can say that x must be greater than 24 (or 24 < x)
Now look at triangle B, in this case, they hypotenuse is 30 and x is the length of one of the sides. This means that x must be shorter than the hypotenuse (i.e x < 30)
from the 2 paragraphs above, we can see now that we can assemble an inequality in x
24 < x < 30
If we look at the choices, we can immediately ignore 33 because x must be less than 30,
working out the choices, we find that the only choice which falls into the range 24<x<30 is the 2nd choice 12√5 (= 26.83) (which is the answer)
The last 2 choices give values smaller than 24 and are hence cannot be the answer
Step-by-step explanation:
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Answer:
3/16
Step-by-step explanation:
1. The number of spaces that are red is three and the total is 8, so the probablility of red is 3/8
2. The probability of tails is 1/2
3. multiply the expressions 1/2 x 3/8 = 3/16
Answer:
1/4 divided by 1/2 equals 1/2
Real-world problem:
A constructor official knows that he needs 1/2 sack of cement to produce 10 blocks of concrete for a wall. The official only has 1/4 of the sack left and want to know how many blocks he can produce with this material.
Step-by-step explanation:
Since you know that 1/2 of the sack is needed to make 10 blocks, you can use this information to find the number of blocks that 1/4 of a sack can make. The question you want to answer is:
if
of a sack produces 10 blocks, how may blocks
of a sack can produce?
Using the Rule of Three you can solve

Now you know that 1/4 of a sack can produce 1/2 the number of blocks that 1/2 of the sack can produces, this means that you can produce 5 blocks of concrete.
Hi there!
Let x = 3. 72727.... ---(i)
Multiply 100 in eqn. (i)
100x = 372. 72727... ---(ii)
Subtract Eqn. (i) from (ii)
100x - x = 372. 7272... - 3. 7272...
99x = 369
x =

x =

Hence,

is th' required p-q form.
~ Hope it helps!