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Svetradugi [14.3K]
3 years ago
8

Convert the decimal 0.92¯¯¯ to a fraction.

Mathematics
1 answer:
aev [14]3 years ago
3 0

Answer:

23/25 when reduced to the simplest form.

Step-by-step explanation:

write down the number as a fraction of one

0.92 = 0.92/1

so we multiply both numerator and denominator by 100

Then 0.92/1 = ( 0.92x100) / ( 1x100)

= 92/100

Now reduce the numerator and denominator by GCD between in this case

GCD ( 92,100) = 4

so, 92/ 4

100/ 4

=23/25

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alberto knows that all the lines and rays are congruent to each other . he reasons that all segments must therefore be congruent
saw5 [17]

Answer:

Step-by-step explanation:

Alberto is correct in reasoning that all lines and rays are congruent to each other but incorrect in his reasoning about the line segments.

Line segments are equal in measure only when they are equal in length. They can have any orientation on a plane.

Since, AB = 3 units

CD = 4 units

Therefore, AB ≠ CD

Error in AB ≅ CD

7 0
3 years ago
what is the first term of a geometric sequence in which the second term is 6 and the fourth term is 54
IRISSAK [1]
For a geometric sequence:
U_{n} = a * r^{n - 1}
U_{n} = the nth term, i.e. U₂ is the second term, U₃ is the third term, etc.
a = first term (U₁)
r = multiplier
n = number corresponding to the postion of the nth term in the sequence, e.g. for U₂, n = 2, for U₃, n = 3

According to the information:
U₂ = 6
U₄ = 54
So:
U_{2} = a * r^{(2) - 1} = 6 \\\\ a * r^{1} = 6 \\\\ ar = 6 \\
U_{4} = a * r^{(4) - 1} = 54 \\\\ a * r^{3} = 54 \\\\ ar^{3} = 54
Now, we have two equations in terms of a and r;
We can work out a by first working out r;
If we let the U₂ eq'n be [1] and the U₄ eq'n be [2];
Then, we do [2] ÷ [1] to cancel out the a and get an equation with only r that we are able to solve and then just solve it, like so:
\frac{ar^{3}}{ar} =  \frac{54}{6} \\\\ r^{2} = 9 \\\\ r = 3
Note: r has to be 3, and not -3, as the two given terms of the sequence tell us that the terms of the sequence will get bigger from each term to the next so r has to be above 1.

Now that we know r, we can sub it back into either [1] or [2] and solve for a, Its quicker and easier to sub it into [1] as we have no powers greater than 1 and we have smaller numbers to deal with (but you would get the same value of a either way), so:
U₂ = ar = 6
a(3) = 6
a = 6/3
a = 2
5 0
3 years ago
I NEEDED HELP FAST PLZZZZZZ!!!!!
Sergio [31]
P(heads or tails) = 1 This is because when flipping a coin, there are only two possible answers, either heads ir tails so the probability of getting either one is 100%. However, if you're asking for P(heads) = 1/2, and P(tails)= 1/2.
6 0
3 years ago
Read 2 more answers
Help meh please!!!!!!!!!
dalvyx [7]
4/10= 8/20, 2/5. For 8/20 u multiply 2 times and for 2/5 u divide by 2 

Hope that helps u
3 0
3 years ago
What is the answer to − 4/7 = 5/2t ( its a one step equation)
nata0808 [166]
The answer to this equation would be -8/35
7 0
3 years ago
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