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Arada [10]
3 years ago
12

A catfish pond contains 2,200 gallons of water. The pond can hold no more than 3,000 gallons. It is being filled at a rate of 12

5 gallons per hour. (PLS INCLUDE ALL STEPS)
1) Write an inequality that will represent how many hours, h, it will take to fill the pond.

2)How many whole hours will it take to fill but not overfill the pond?
Mathematics
1 answer:
Olenka [21]3 years ago
8 0

Answer:

I am not sure honestly, but I think you should

Step-by-step explanation:

add 2,200 and 3,000 then see your answer, and divide it by 125. I'm sorry if this doesn't help......

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What is the approximate value of b, rounded to the nearest tenth? Use the law of sines to find the answer. Law of sines: answers
Dominik [7]

Answer:

\boxed{\text{2. 4.7 units}}

Step-by-step explanation:

Assume your triangle has the dimensions shown below.

Before we can use the Law of Sines, we must find ∠C.

1. Calculate ∠C

\begin{array}{rcl}A + B + C & = & 180^{\circ}\\66^{\circ} + 76^{\circ} + C & = & 180^{\circ}\\142^{\circ} + C & = & 180^{\circ}\\C & = & 38\, ^{\circ}\\\end{array}

2. Calculate b

Use the Law of Sines

\begin{array}{rcl}\dfrac{b}{\sin B } & = & \dfrac{c}{\sin C}\\\\\dfrac{b}{\sin 76^{\circ}} & = & \dfrac{3}{\sin 38^{\circ}}\\\\\dfrac{b}{0.9703} & = & \dfrac{3}{0.6157}\\\\ & = & 4.873\\b & = & 0.9703\times 4.873\\& = & \boxed{\mathbf{4.7}}\\\end{array}

7 0
3 years ago
A pulley is used to pull a boat to the dock. The rope is attached to the boat 7 feet below the level of the pulley. What is the
Svetradugi [14.3K]

Answer: 24 ft

Step-by-step explanation:

By the Pythagorean theorem,

7^{2}+x^{2}=25^{2} \\ \\ 49+x^{2}=625 \\ \\ x^{2}=576 \\ \\ x=\boxed{24 \text{ ft}}

7 0
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What is the ratio (multiplier) of the following geometric sequence? 4, 2, 1, 0.5, . . .
Fantom [35]
Its either gonna be 1/2 or 0.5
7 0
3 years ago
Read 2 more answers
What are the values of a and b?
ivann1987 [24]

Answer:

<h2>a = 400/21, b = 580/21</h2>

Step-by-step explanation:

Small triangles are similar. Therefore, the sides are proportional

\dfrac{a}{20}=\dfrac{20}{21}               <em>cross multiply</em>

21a=(20)(20)       <em>divide both sides by 21</em>

a=\dfrac{400}{21}

For b, we can use the Pythagorean theorem:

b^2=\left(\dfrac{400}{21}\right)^2+20^2\\\\b^2=\dfrac{160000}{441}+400\\\\b^2=\dfrac{160000}{441}+\dfrac{176400}{441}\\\\b^2=\dfrac{336400}{441}\to b=\sqrt{\dfrac{336400}{441}}\\\\b=\dfrac{\sqrt{336400}}{\sqrt{441}}\\\\b=\dfrac{580}{21}

3 0
3 years ago
________can i get some help on this _______
seropon [69]

Answer:

A

Step-by-step explanation:

The median AB bisects DC at right angles ,hence BD = 4

Using Pythagoras' identity on the right triangle ABD

The square on the hypotenuse AD is equal to the sum of the squares on the other 2 sides, that is

AB² + BD² = AD², that is

AB² + 4² = 5²

AB² + 16 = 25 ( subtract 16 from both sides )

AB² = 9 ( take the square root of both sides )

AB = \sqrt{9\\} = 3 feet → A

4 0
3 years ago
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