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3 years ago

Part A

Mathematics

1 answer:

Simora [160]3 years ago

3 0

I forgot how to do this in middle school_

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HELP PLS I DONT GET THIS WILL GIVE BRAINLIEST

kicyunya [14]

The triangles are the same

CA= 8.5

AT=5

DG=12

T=70

O=57

C=53

3 0

3 years ago

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juneau has an area of 2,717 square miles. valdez has an area of 222 square miles. what is their combined area?

Zepler [3.9K]

The combined area is 2,939 square miles. All you need to do to solve this problem is add the two numbers together.

6 0

3 years ago

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In 2005, 12.2 out of every 50 employees at a company were women. If there are 48,744 total company employees, estimate the num

seraphim [82]

Answer:

12000

Step-by-step explanation:

Using this information, you can make a ratio: 12.2/50 = x/48744

By simplifying this ratio you get that 50x = 594676. Dividing both sides by 50 you get about 11900, which you can round up to 12000

4 0

2 years ago

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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

If f(x)=6(x-2), find f(5)

Ne4ueva [31]

Answer:

f(5) = 6(5 - 2) = 6(3) = 18

Step-by-step explanation:

You're asked to "evaluate" f(x)=6(x-2) when x = 5.

To do this, replace both instances of x with 5: f(5) = 6(5 - 2) = 6(3) = 18

7 0

3 years ago

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