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love history [14]
3 years ago
12

Julie will build a rectangular pen for her dog against a barn. A wall from the barn will form one side of the pen. She has 32 m

of fencing to form the other three sides. She plans to build the pen so that it has its maximum possible area. What will be the dimensions of Julie's pen?
__m by __m
Mathematics
1 answer:
Phantasy [73]3 years ago
8 0
Did you get the answer to this? If you did what is it?
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1- find the first term= ?, 90, 540, 3240
Luda [366]

Answer:

1. 15

2. 8

Step-by-step explanation:

The two sequence are geometric progression GP, because they follow a constant multiple (common ratio)

The nth term of a GP is;

Tn = ar^(n-1)

Where;

a = first term

r = common ratio

For the first sequence;

The common ratio r is

r = T3/T2 = 540/90 = 6

r = 6

T2 = ar^(2-1) = ar

T2 = 90 = ar

Substituting the values of r;

90 = a × 6

a = 90/6

a = 15

First term = 15

2. The sam method applies here.

Common ratio r = T3/T2 = 128/32 = 4

r = 4

T2 = ar^(2-1) = ar

T2 = 32 = ar

Substituting the values of r;

32 = a × 4

a = 32/4

a = 8

First term = 8

4 0
3 years ago
Which of the following is NOT a typical tennis competition (connexus)
andrew11 [14]

Answer:

as a tennis player, i know this

Step-by-step explanation:

there is no triples loll

6 0
3 years ago
Read 2 more answers
A laptop is in the shape of a rectangular prism. The laptop has a length of 14
muminat

Answer:

V=210 square inches

Step-by-step explanation:

Volume formula for a rectangular prism is V=lwh

So Volume=Length x Width x Height

V= 14 x 10 x 1.5

V=210 square inches

3 0
3 years ago
Farmer Bob needs to build a fencing for his poultry farm 40 metre long and 20 metre wide. What is the total length of fencing ne
eduard

Answer:

120 meters

Step-by-step explanation:

Bob's land is a rectangle, so it has 2 long and 2 short sides. The Long side is 40 meters long, and the short side is 20 meters long.

Let's add them: 40 + 20 = 60 meters

Since we have 2 of those sides, we will multiply it by 2 which we can demonstrate as

60 meters * 2 = 120 meters

8 0
2 years ago
Suppose you obtain a $1,300 T-note with a 9% annual rate, paid monthly, with maturity in 6 years. How much interest will be paid
Tems11 [23]
We know that,
Interest, I = \frac{P×R×T}{100}
Where, P = Principal = $1300
R = rate of interest = 9% annually = \frac{9}{12}%
T = Time  = 1 month

So, I = \frac{1300×[tex] \frac{9}{12}×1}{100} [/tex]
        = $9.75

Interest paid per month is $9.75
7 0
3 years ago
Read 2 more answers
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