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Fynjy0 [20]
2 years ago
11

Write an equation and use it to solve this question.

Mathematics
2 answers:
HACTEHA [7]2 years ago
5 0
C. five sixth meters
KATRIN_1 [288]2 years ago
4 0
The answer is C. Five-sixths meters
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Find the 6th term of a geometric sequence t3 = 444 and t7 = 7104. So I have to find r. But is this right: 7104 = 444r^4 r^4 = 16
galben [10]

Third term = t3 = ar^2 = 444           eq. (1)

Seventh term = t7 = ar^6 = 7104         eq. (2)

By solving (1) and (2) we get,

              ar^2 = 444    

                => a = 444 / r^2       eq. (3)

And  ar^6 = 7104

 (444/r^2)r^6 = 7104

 444 r^4 = 7104

 r^4 = 7104/444

            = 16

 r2 = 4

 r = 2

Substitute r value in (3)

                         a = 444 / r^2

                             = 444  / 2^2

                             = 444 / 4

                              = 111

Therefore a = 111 and r = 2

Therefore t6 = ar^5

                       = 111(2)^5

                       = 111(32)

                       = 3552.

<span>Therefore the 6th term in the geometric series is 3552.</span>

8 0
3 years ago
The width of a singles tennis court is 75% of the width of a doubles court. A doubles court Is 36 feet wide. How wide is a singl
yuradex [85]

Answer:

width of a singles court = 27 feet

Step-by-step explanation:

Width of a doubles tennis court = 36 feet

Width of a singles tennis court = 75% of 36

width = 75\% \times 36 \\ width =  \frac{75}{100}  \times 36 \\ width =  \frac{3} {4}  \times 36 \\ width =  \frac{108}{4}  = 27

8 0
3 years ago
Find the value of two numbers is their sum is 12 and there difference is 4
weqwewe [10]
8 and 4
8+4=12
8-4=4
hope this helps

5 0
3 years ago
If the sides of a square are lengthened by 7 feet, the area becomes 121 square feet. How long is a side of the original square?
Bogdan [553]
Square root of 121 is 11.
11-7=4
A side of the original square is 4 feet.
5 0
3 years ago
Read 2 more answers
721 lbs per week to kg per second please show work
Oduvanchick [21]

Answer: Hi!  So, 1 lbs per week are equal to 7.4999e-7 kilograms per second. We can use this to convert lbs per week to kg per second. 721 x 7.4999e-7 = 0.000540741!

8 0
2 years ago
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