Answer:
6
Step-by-step explanation:
From the Trapezoid attached :
EF = GT
FG = LA
LE = AT = 10
LA = 24 ; FG = 24
FG + EF + GT = 40
Let : EF and GT = x
FG + 2x = 40
24 + 2x = 40
2x = 40 - 24
2x = 16
x = 16 ÷ 2 = 8
Hence, EF = GT = 8
Using Pythagoras :
Opposite² = hypotenus² - Adjacent²
LF² = LE² - FE²
LF² = 10² - 8²
LF² = 100 - 64
LF² = 36
LF = √36
LF = 6
For this case we have to evaluate the following expression,
We must follow the steps below:
We convert the mixed number into a fraction:
We multiply the fractions, taking into account that:
We simplify:
We convert to mixed number:
Answer:
Answer:
"The next term should be 11"
Step-by-step explanation:
If we look closely at the sequence we can see:
second term is 3 more than previous
third term is 2 less than previous
fourth term is 3 more than previous
fifth term is 2 less than previous
We can see a pattern. To get next terms, we add 3, to get next to that, we subtract 2. It goes on like this.
Since 4th term to 5th term is "subtracting 2", logically 5th to 6th term (the term we are wanting) should be "add 3". So the term after 8 would be 11
The next term would be 11
Answer:
The answer is : 2/3
Step-by-step explanation:
2+9x^2=6
9x^2 = 6 - 2
9x^2 = 4
x^2 = 4/9
x = √(4/9)
x = 2/3
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