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qwelly [4]
3 years ago
10

A rectangular fish pond is 21 ft2 in area. If the owner can surround the pond with a 20-foot fence, what are the dimensions of t

he pond?
3.5 ft by 6 ft



4 ft by 6 ft



3 ft by 7 ft



3.5 ft by 7 ft
Mathematics
1 answer:
irakobra [83]3 years ago
8 0

Answer:

  3 ft by 7 ft

Step-by-step explanation:

Try the solutions and find the one that works.

  3.5 × 6 — area OK, perimeter = 19 ft

  4 × 6 — area = 24 ft², perimeter OK

  3 × 7 — area OK, perimeter OK

  3.5 × 7 — area 24.5 ft², perimeter 21 ft

___

The perimeter is the sum of the four side lengths; the area is the product of two adjacent side lengths.

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Triangle ABC has vertices located at A( 0, 2), B (2, 5), and C (−1, 7).
LuckyWell [14K]

Answer: See below

Step-by-step explanation:

Triangle ABC has vertices located at A( 0, 2), B (2, 5), and C (−1, 7)

A)

\begin{aligned}&A B=\sqrt{(2-0)^{2}+(5-2)^{2}}=\sqrt{13} \\&B C=\sqrt{(-1-2)^{2}+(7-5)^{2}}=\sqrt{13} \\&C A=\sqrt{(-1-0)^{2}+(7-2)^{2}}=\sqrt{26} \\&A B=\sqrt{13}, B C=A B=\sqrt{13}, C A=\sqrt{26}\end{aligned}

B) Slope of AB line = m₁=3/2

Slope of BC line = m₂=-2/3

Slope of CA line = m₃=-5

C) \mathrm{AB}=\mathrm{BC} \& \mathrm{AB}^{2}+\mathrm{BC}^{2}=\mathrm{CA}^{2}

Therefore, the triangle is a isosceles right angle triangle

6 0
2 years ago
Which is correct regarding the relative accuracies of a volume of about 12 mL?
Dmitriy789 [7]

Answer:

b

Step-by-step explanation:

5 0
3 years ago
Aditya determines the remainder of -12x¹⁷+3x⁵-9x²-1/x+1 using the remainder theorem. How does he proceed to the correct answer?
Alenkasestr [34]

Answer:

Aditya evaluates the numerator of the expression when x = –1. He finds the remainder of the division to be –1

Step-by-step explanation:

– 12x¹⁷+ 3x⁵ – 9x² – 1 / x + 1

To obtain the answer to question, let us apply the remainder theorem. This is illustrated below:

Assume:

x + 1 = 0

Subtract 1 from both side

x + 1 – 1 = 0 – 1

x = – 1

Next, we shall substitute the value of x into – 12x¹⁷+ 3x⁵ – 9x² – 1. This is illustrated below:

– 12x¹⁷+ 3x⁵ – 9x² – 1

x = – 1

– 12(–1)¹⁷+ 3(–1)⁵ – 9(–1)² – 1

– 12(–1) + 3(–1) – 9(1) – 1

12 – 3 – 9 – 1

= –1

Thus, using the remainder theorem,

– 12x¹⁷+ 3x⁵ – 9x² – 1 / x + 1 will result to –1

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3 years ago
At summer camp, campers were asked to name their favorite sport. The circle graph shows the percent of campers who preferred eac
vladimir1956 [14]

I would say 260

Hope I helped

:)

5 0
3 years ago
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The cost of a regular-price ticket to a San Francisco Giants baseball game was $60. During the World Series, the price increased
lutik1710 [3]
First off, we need to determine what 2/5 is.
2/5 is 40% also known as .40

Now we multiply $60 by .40 and you get 24.

Now you add the two numbers.
60 + 24 = 84

The correct answer should be D, $84.

Hope this Helps!
6 0
3 years ago
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