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Aleksandr [31]
3 years ago
15

Find the second term of the arithmetic series described by a1=0.25, an=4, and sn=8.5 answer: a2=

Mathematics
1 answer:
Elis [28]3 years ago
8 0

Answer:

Step-by-step explanation:

an=4=a1+(n-1)*d=0.25+(n-1)*d

so (n-1)*d=4-0.25=3.75

Sn=a1*n+(n-1)*d

a1*n+3.75=8.5

0.25*n+3.75=8.5

-3.75                -3.75

0.25*n=8.5-3.75=4.75

n=4.75:0.25

n=19

so a19=a1+(19-1)*d=4

          0.25+18*d=4

           -0.25           -0.25

         18*d=3.75

           d=3.75/18

            d=0.208

so  a2=a1+0.208=0.25+0.208=0.458

a2=0.458

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Answer:

speed of James is: 3.75 miles/hour.

Step-by-step explanation:

We need to find the speed of James in miles per hour(mi/hr)

we know that 1 mile=5280 feet

James takes 120 steps in 1 minute so he will cover 120×60 steps in 1 hour.

i.e. he takes 7200 steps in 1 hour.

also each step of James=2.75 feet

total distance covered by James in 1 hour=2.75×7200 feet=19800 feet

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hence speed of James= (distance covered by james in 1 hour)/1 hour

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Thanks!!

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7 0
2 years ago
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sineoko [7]

Answer:

121

Step-by-step explanation:

31+90 = 121

180 - 121 = 59

180 - 59 = 121

6 0
2 years ago
13 weeks is what percent of 52 weeks
Aleonysh [2.5K]
To get a number as a percent of another, you divide and multiply by 100, so here you would have (13/52)*100=.25*100=25, making your answer 25%.
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3 years ago
What is the mean of the following data values? 53,71,89,10,87
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7 0
3 years ago
In ΔCDE, the measure of ∠E=90°, the measure of ∠C=70°, and DE = 12 feet. Find the length of CD to the nearest tenth of a foot
Radda [10]

Answer:

CD = 4.4ft

Step-by-step explanation:

Given

DE = 12

\angle C = 70^\circ

Required

Find CD

This question is represented with the attached triangle

To solve CD, we make use of tan formula.

tan(70) = \frac{DE}{CD}

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CD = \frac{12}{tan(70)}

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2 years ago
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