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Sphinxa [80]
2 years ago
13

5. Find the circumference of a circle with a radius of 15 feet.

Mathematics
1 answer:
harina [27]2 years ago
7 0

Answer:

94.25 feet.

Step-by-step explanation:

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The width and the length of a rectangle are consecutive even integers. If the width is decreased by 3 inches, then the area of t
Yuliya22 [10]

The original are would be 48.

Since we know that the length and width are two consecutive even integers, we can model them as follows:

Width = x

Length = x + 2

This works because no matter what even number is put in for x, the length will also be even.

Now we know if we subtract 3 from the width, we have a new rectangle that gives us an area of 24 inches. Therefore, our new triangle has the following:

Width: x - 3

Length: x + 2

Area: 24

And we can plug this into the equation.

Length* Width = Area

(x + 2)(x - 3) = 24

x^2 - x - 6 = 24

x^2 - x - 30 = 0

This is not a quadratic that we can factor to show the following:

(x - 6)(x + 5) = 0

This gives us the answers of x = 6 and x = -5. Since a side can't be negative, we throw out the x = -5 and the answer is x = 6.

So if we go back to the original rectangle, we know:

Width = x = 6

Length = x + 2 = 8

Area = 6*8 = 48

7 0
3 years ago
Cubic
seraphim [82]

Answer:

rephrase your question please

3 0
2 years ago
ASAP PLEASE HELP ME !!!!
anygoal [31]

Answer:

90 mallards

Step-by-step explanation:

No. of ducks = 200

Mallards = 45%

45% of 200 = 45/100 × 200

=90

4 0
2 years ago
Read 2 more answers
Expand the exppresion -7(k-3)
Lana71 [14]

Answer:

-7k+21

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
Solve the following system of equations. Express your answer as an ordered pair in the format (a,
choli [55]
The second equation is <span>-5-2y=2, then
</span>
<span>-2y=2-(-5),
</span>
-2y=2+5,
-2y=7,
y=7÷(-2),
y=-3.5.
The first equation is 2x+5y=16, subtitude y=-3.5 in this equation, then
2x+5·(-3.5)=16,
2x-17.5=16,
2x=16-(-17.5),
2x=16+17.5,
2x=33.5,
x=33.5÷2,
x=16.75.
Answer: (16.75,-3.5)


8 0
3 years ago
Read 2 more answers
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