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KengaRu [80]
3 years ago
6

I don't undersand how to do number #4, can you guys help me solve it?

Mathematics
1 answer:
densk [106]3 years ago
5 0
-9 1/12

First change it into an improper fraction by multiplying the whole number by the denominator and then adding it to the numerator.

108/12

Now simplify that by dividing them to get the quotient.

108/12 = 9
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Corsica fills a bucket with water at a constant rate. The equation below represents a proportional relationship between the ounc
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Answer:

Step-by-step explanation:

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3 years ago
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A positive real number is 2 less than another. When 4 times the larger is added to the square of the smaller, the result is 49.
Kobotan [32]

Answer:

The numbers are

-2+3\sqrt{5}   and 3\sqrt{5}

Step-by-step explanation:

Let

x -----> the smaller positive real number

y -----> the larger positive real number

we know that

A positive real number is 2 less than another

so

x=y-2

y=x+2 ----> equation A

When 4 times the larger is added to the square of the smaller, the result is 49

so

4y+x^2=49 ----> equation B

substitute equation A in equation B

4(x+2)+x^2=49

solve for x

x^2+4x-41=0

The formula to solve a quadratic equation of the form

ax^{2} +bx+c=0

is equal to

x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}

in this problem we have

x^2+4x-41=0

so

a=1\\b=4\\c=-41

substitute in the formula

x=\frac{-4\pm\sqrt{4^{2}-4(1)(-41)}} {2(1)}

x=\frac{-4\pm\sqrt{180}} {2}

x=\frac{-4\pm6\sqrt{5}} {2}

x=-2\pm3\sqrt{5}

so

The positive real number is

x=-2+3\sqrt{5}

Find the value of y

y=x+2

y=-2+3\sqrt{5}+2

y=3\sqrt{5}

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3 years ago
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Answer:

Step-by-step explanation:

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D. is the answer

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3 years ago
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the captain of a boat knows that the lighthouse on the coast is 200 feet tall. he measures the angle of elevation to the top of
krek1111 [17]

Answer:

The boat is 5727.25ft far from the coast

Step-by-step explanation:

Refer the figure given.

We need to find how far is the boat from the coast = AB

Angle of elevation = 2°

The lighthouse on the coast is 200 feet tall, AC = 200 ft

We have

           tan2=\frac{AC}{AB}=\frac{200}{AB}\\\\AB=\frac{200}{tan2}=5727.25ft

The boat is 5727.25ft far from the coast

7 0
3 years ago
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