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juin [17]
3 years ago
5

Evaluate the expression a2+6ab for a=−3 and b=4.

Mathematics
1 answer:
inn [45]3 years ago
5 0
First you plug in the variables:

(-3)(2)+(6)(-3)(4)

Multiply:
-6+(-18)(4) 
-6+-72

Add and your answer comes out to be:
-78

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Suppose the average farm owned by the farmers who joined Shays' Rebellion had an area of
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A white tailed deer can sprint at speeds up to 30 miles per hour. American bison can run at speeds up to 3,520 feet per minute.
bogdanovich [222]

Answer:

the Bision is 10 miles / hour faster if he could keep it up

Step-by-step explanation:

There are 60 minutes in an hour.

Therefore the bison can run [3520 feet / min] * [60 min ] =211288 feet in an hour.

Now you have to convert 212200 to miles. Do this by dividing by 5280

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3520 feet / minute * [ 60 min/ hour ] * [ 1 mile / 5280 feet] = 40 miles

5 0
3 years ago
Wally is rebuilding his fence. Each section of the fence will have 12 vertical boards that are each eight inches wide. He’s goin
Leokris [45]

Answer:

Part A)

Each diagonal is about 9.43 feet.

Part B)

In total, Wally needs about 736.02 feet of wood.

Step-by-step explanation:

Part A)

Since each vertical board has a width of 8 inches, for one section with 12 vertical boards, the total width will be 8(12) = 96 inches.

96 inches is the same as 96/12 = 8 feet.

We are also given that the horizontal pieces will be 5 feet apart.

To find the diagonal, we can use the Pythagorean Theorem. The 8 is the base and 5 is the height. Therefore:

\displaystyle d^2=8^2+5^2

Compute:

d^2=89

Taking the square root, we acquire:

\displaystyle d=\sqrt{89}\approx9.43 \text{ feet}

So, each diagonal is about 9.43 feet.

Part B)

For each section, we have two horizontal pieces (each 8 feet) and one diagonal piece (each √89 feet).

Therefore, for one section, we will need a total of:

\displaystyle L=8+8+\sqrt{89}=16+\sqrt{89}

Then for 30 sections, we will need:

T=30(16+\sqrt{89})

Approximate:

T\approx 763. 02

Wally will need about 736.02 feet of wood in total.

3 0
3 years ago
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