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Naddik [55]
4 years ago
5

Find the sixth term of an arithmetic sequence with t1 = 2 and tn = tn-1 + 4.

Mathematics
1 answer:
ZanzabumX [31]4 years ago
8 0
 <span>The sixth term of an arithmetic sequence with t1 = 2 and tn = tn-1 + 4 is 22. </span><span>I am hoping that this answer has satisfied your query and it will be able to help you in your endeavor, and if you would like, feel free to ask another question.</span>

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3 0
3 years ago
Audrey measured the width of her dining room in inches. It is 150 inches. How many feet wide is her dining room?
yaroslaw [1]

Answer:

divide 150 by 12 ( because there are 12 inches in one foot) and your answer would be 12.5 feet.

Step-by-step explanation:

6 0
4 years ago
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The width of a rectangle is 15 cm and the perimeter is 72 cm. Find the length.
ale4655 [162]

Answer:

22

Step-by-step explanation:

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3 years ago
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A point H is 20m away from the foot of a tower on the same horizontal ground. From the point H, the angle of elevation of the po
astra-53 [7]

Answer:

a. See Attachment 1

b. PT = 12.3\ m

c. HT = 31.1\ m

d. OH = 28.4\ m

Step-by-step explanation:

Calculating PT

To calculate PT, we need to get distance OT and OP

Calculating OT;

We have to consider angle 50, distance OH and distance OT

The relationship between these parameters is;

tan50 = \frac{OT}{20}

Multiply both sides by 20

20 * tan50 = \frac{OT}{20} * 20

20 * tan50 = OT

20 * 1.1918 = OT

23.836  = OT

OT = 23.836

Calculating OP;

We have to consider angle 30, distance OH and distance OP

The relationship between these parameters is;

tan30 = \frac{OP}{20}

Multiply both sides by 20

20 * tan30 = \frac{OP}{20} * 20

20 * tan30 = OP

20 * 0.5774= OP

11.548 = OP

OP = 11.548

PT = OT - OP

PT = 23.836 - 11.548

PT = 12.288

PT = 12.3\ m (Approximated)

--------------------------------------------------------

Calculating the distance between H and the top of the tower

This is represented by HT

HT can be calculated using Pythagoras theorem

HT^2 = OT^2 + OH^2

Substitute 20 for OH and OT = 23.836

HT^2 = 20^2 + 23.836^2

HT^2 = 400 + 568.154896

HT^2 = 968.154896

Take Square Root of both sides

HT = \sqrt{968.154896}

HT = 31.1\ m <em>(Approximated)</em>

--------------------------------------------------------

Calculating the position of H

This is represented by OH

See Attachment 2

We have to consider angle 50, distance OH and distance OT

The relationship between these parameters is;

tan50 = \frac{OH}{OT}

Multiply both sides by OT

OT * tan50 = \frac{OH}{OT} * OT

OT * tan50 = {OH

OT * 1.1918 = OH

Substitute OT = 23.836

23.836 * 1.1918 = OH

28.4= OH

OH = 28.4\ m<em> (Approximated)</em>

5 0
3 years ago
Ester's choir wants to learn a new song for the school concert in 7 weeks. The song has 3,016 lines. The choir learns an equal n
Ghella [55]

Answer:

the answer you will get is 61.5

Step-by-step explanation:

First you calcuate the number of days in the learning process there will be which there will be 49 days since 7 days x 7 weeks = 49 days. Then, you divide 3,016 and 49 to get 61.5510204 and then you round that up to get 61.5 or is you want a whole number with no decimals 62

3 0
3 years ago
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