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RideAnS [48]
3 years ago
9

Please help- will give brainlist

Mathematics
1 answer:
marshall27 [118]3 years ago
7 0

Answer:

m(JCA)

Step-by-step explanation:

C is the central angle here (the one in between)

so it will be m(JCA) or m(ACJ)

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Solve for the missing angle. Round your answers to the nearest tenth. Figures are not drawn to scale.
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Answer:

50.8 degrees

Step-by-step explanation:

cos(x)=12/19

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PLEASE HELP ASAP 50 POINTS! For a project in Home Economics class, Kirk is making a tablecloth for a circular table 3 feet in di
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Answer:

your answer is E

Step-by-step explanation:

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The water level of a lake fell by 1 1/2 in. during a 3 3/4 ​-week-long dry spell. Simplify the complex fraction below to find th
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3/2

Step-by-step explanation:

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A farmer has 300 ft of fence to enclose 2 adjacent rectangular pens bordering his barn. Find the maximum area he can close.
Margarita [4]

Answer:

Width of 37.5 feet and length of 50 feet will maximize the area.

Step-by-step explanation:

Let w represent width and l represent length of the pen.

We have been given that a farmer has 300 ft of fence to enclose 2 adjacent rectangular pens bordering his barn. We are asked to find the dimensions that will maximize the area.

We can see from the attachment that the perimeter of the pens would be 4w+3l.

We can set our given information in an equation 4w+3l=300.

The area of the two pens would be A=2l\cdot w.

From perimeter equation, we will get:

w=\frac{300-3l}{4}

Substituting this value in area equation, we will get:

A=2l\cdot (\frac{300-3l}{4})

Since we need to maximize area, so we need to find derivative of area function as:

A=\frac{600l-6l^2}{4}

Bring out the constant:

A=\frac{1}{4}*\frac{d}{dl}(600l-6l^2)

A=\frac{1}{4}*(600-12l)

A=150-3l

Now, we will set our derivative equal to 0 as:

150-3l=0

150=3l

\frac{150}{3}=\frac{3l}{3}

50=l

Now, we will substitute l=50 in equation w=\frac{300-3l}{4} to solve for width as:

w=\frac{300-3(50)}{4}

w=\frac{300-150}{4}

w=\frac{150}{4}

w=37.5

Therefore, width of 37.5 feet and length of 50 feet will maximize the area.

8 0
3 years ago
The sum of two numbers is 22. the difference is 6. what are the two numbers?
DaniilM [7]
Answer: 14 & 8

14 + 8 = 22

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