3 years ago

Find the 39th term of the arithmetic sequence

Mathematics

1 answer:

myrzilka [38]3 years ago

8 0

Answer:

-142

Step-by-step explanation:

You seem to have an arithmetic sequence with first term -66 and common difference (-68-(-66)) = -2. The general term of such a sequence is given by ...

an = a1 +d(n -1) . . . . . for first term a1 and common difference d

We want to evaluate this equation for a1 = -66, d = -2, n = 39:

a39 = -66 -2(39 -1) = -66 -76 = -142

The 39th term is -142.

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andrew11 [14]

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3 years ago

In ΔCDE, the measure of ∠E=90°, the measure of ∠D=23°, and EC = 1.3 feet. Find the length of DE to the nearest tenth of a foot.

BabaBlast [244]

Answer: length of DE is about 3.3 ft

Step-by-step explanation: A calculator is necessary!

DE is the unknown hypotenuse of the triangle

get the sine of 23° = 0.3907311285

Use the equation for sine

<em>sin = o/h</em> .

To find h, Substitute values for sin and o. O is EC, Opposite the 23° angle D

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