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Arlecino [84]
2 years ago
13

Please help!!! If the first 4 terms of a geometric sequence are...

Mathematics
1 answer:
tigry1 [53]2 years ago
7 0

Answer:

c.) aₙ = 5 × 4ⁿ⁻¹

Explanation:

Geometric sequence: aₙ = a(r)ⁿ⁻¹

where 'a' resembles first term of a sequence, 'r' is the common difference.

Here sequence: 5, 20, 80, 320,...

First term (a) = 5

Common difference (d) = second term ÷ first term = 20 ÷ 5 = 4

Hence putting into equation: aₙ = 5(4)ⁿ⁻¹

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Two construction workers, Tyrone and Diego, are standing 15 yards apart, looking up at a piano hanging between the two men from
Yanka [14]

Answer:

The distance between Tyrone and the piano is 23.7 yards

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

Find the measure of angle P

Remember that the sum of the internal angles of a triangle must be equal to 180 degrees

∠T+∠D+∠P=180°

substitute the given values

65°+77°+∠P=180°

142°+∠P=180°

∠P=180°-142°=38°

step 2

applying the law of sines

\frac{TD}{sin(P)}=\frac{TP}{sin(D)}

substitute the given values

\frac{15}{sin(38\°)}=\frac{TP}{sin(77\°)}

TP=\frac{15}{sin(38\°)}(sin(77\°))\\\\TP=23.7\ yd

therefore

The distance between Tyrone and the piano is 23.7 yards

6 0
3 years ago
Earl runs 70 meters in 20 seconds. How many meters does Earl run per second
Mama L [17]

Answer:

3.5 meters

Step-by-step explanation:

70/2=3.5 meters

7 0
2 years ago
Read 2 more answers
How can I solve this problem?​
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It just had relocation 4 in direction of positive and in term of x so

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During a baseball game a fly ball is hit to center field and is caught 115m
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How many solutions does the nonlinear system of equations graphed below have?
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