The thirty-second term is 143
Further explanation:
As it is already given that the given sequence is an arithmetic sequence
We have to find the common difference first
So,
The common difference is 5.
And first term is -12
The explicit formula for arithmetic sequence is:
Putting the values in the formula
Putting n=32 in explicit formula
The thirty-second term is 143
Keywords: Common difference, Arithmetic Sequence
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Answer:
center:-2,3
Radius:10
Step-by-step explanation:Happy to help :)
Answer:
always true.
the expression will always be equal to +5 because -p+p is zero
at any given value to p, the value is constantly +5
Answer:
8) 10°
9) X can not be determined.
10) 10°
11) 12 units.
Step-by-step explanation:
8) The three sides of the given triangle are equal. Hence, the triangle is an equilateral triangle, hence each angle will be 60°.
So, 6x = 60°
⇒ x = 10°.
9) The three angles of the given triangle are equal. Hence, the triangle is an equilateral triangle, hence each side will be equal.
So, 6x - 5 = 6x
So, x can not be determined from this equation.
10) Δ KLM is equilateral, so, KN will bisect ∠ MKL. So, ∠ NKL = 30°
Hence, 3x = 30°
⇒ x = 10°
11) In Δ XYZ, XZ = XY , so, ∠ Z = ∠ Y.
Again, ∠ X is given to be 60°.
Therefore, each angle is 60°.
So, the triangle XYZ is equilateral, and each side will be equal.
So, 3x + 8 = 4x - 4
⇒ x = 12 units. (Answer)
Answer:
1.584
Step-by-step explanation:
1.584 = 3.96 × 0.4
