Answer:
290
Step-by-step explanation:
If the first term is 2 and the common difference is 32, then the formula for a(n) is:
a(n) = 2 + 32(n-1).
Thus, the 10th term is a(10) = 2 + 32(10-1) = 2 + 32(9) = 290
see the attached figure to better understand the problem
we have that

Step 1
<u>Find the value of AC</u>
we know that
in the right triangle ABC

substitute the values in the formula

Step 2
<u>Find the value of BC</u>
we know that
in the right triangle ABC
Applying the Pythagorean Theorem

substitute the values

Step 3
<u>Find the value of BD</u>
we know that
in the right triangle BCD
Applying the Pythagorean Theorem

substitute the values


therefore
<u>the answer is</u>
the length of BD is 11.93 units
Answer:
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Step-by-step explanation:
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