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Irina-Kira [14]
3 years ago
8

Noah built a fenced dog run that is 8 yards long and 6 yards wide.  He placed posts at every corner and every yard along the len

gth and width of the run.  How many posts did he use?
Mathematics
1 answer:
zzz [600]3 years ago
7 0
8 yards long and 6 yards wide and how many post did he use 6x8=18 multiply to get the number
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Evaluate the geometric series. Please help me out!!!
vredina [299]

Answer:

- 1364

Step-by-step explanation:

The n th term of a geometric series is

a_{n} = a(r)^{n-1}

where a is the first term and r the common ratio

4(-2)^{n-1} ← is an n th term

with a = 4 and r = - 2

The sum to n terms of a geometric series is

S_{n} = \frac{a(r^{n}-1) }{r-1}, thus

S_{10} = \frac{4((-2)^{10}-1) }{-2-1}

      = \frac{4(1024-1)}{-2-1}

      = \frac{4(1023)}{-3}

      = \frac{4092}{-3}

      = - 1364

6 0
3 years ago
Write the general equation for the circle that passes through the points: (1, 7) (8, 6) (7, -1)
Naddika [18.5K]

Answer:

x^{2} +y^{2} +(-8)\times x+ (-6)\times y = 0  

Step-by-step explanation:

General equation of circle is x^{2} +y^{2} +2\times g \times x+2\times f\times y+c = 0   ---------------------(1)

This circle passes through the given three points, (1,7) , (8,6) and (7,-1).

Substitute (1,7) in (1),

1 + 7^{2} +2\times g\times 1 + 2\times f\times 7 +c =0

2g + 14f + c = -50     -------------(2)

Substitute (8,6) in (1),

8^{2} + 6^{2} +2\times g \times 8+2\times f\times 6 +c=0

16g + 12f + c = -100    -----------(3)

Substitute (7,-1) in (1),

7^{2} + (-1)^{2} +2\times g \times 7+2\times f\times (-1) +c=0

14g - 2f + c = -50    ---------------(4)

Solving (2),(3) amd (4) simultaneously,

g = -4

f = -3

c = 0

Equation of circle is

x^{2} +y^{2} +(-8)\times x+ (-6)\times y = 0  

7 0
3 years ago
Onlig
igomit [66]

Answer:

Cost of one candy = 80 L.L.

Step-by-step explanation:

Let "x" represent cost of a candy

Cost of 12 candies = 12x

Cost of a chocolate bar = 1,250 L.L.

Total cost = 2,210 L.L.

The following equation represents the scenario given:

1,250 + 12x = 2,210

Solve for x (cost of a candy)

1,250 + 12x - 1,250 = 2,210 - 1,250 (subtraction property of equality)

12x = 960

Divide both sides by 12

12x/12 = 960/12 (division property of equality)

x = 80

Cost of one candy = x = 80 L.L.

3 0
3 years ago
Hi Guys , could you help me with this question. Thank you xx
Nesterboy [21]

Answer:

A ≈ 3420 cm²

Step-by-step explanation:

The area (A) of a circle is calculated as

A = πr² ( r is the radius ) , then

A = π × 33² = 1089π ≈ 3420 cm² ( to 3 significant figures )

8 0
3 years ago
Read 2 more answers
What are numbers like 10 100 and 1000 called
HACTEHA [7]
You might be referring to decimal places
5 0
4 years ago
Read 2 more answers
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