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2 years ago

Jeremy's dog is on an 11-foot leash that is tied to a pole, as shown in the diagram.

Mathematics

1 answer:

Verdich [7]2 years ago

4 0

Answer:

380

Step-by-step explanation:

area of a circle is pir^2

3.14(11)^2

3.14(121)

=380sqft

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Solve the equation 6w2 – 7w – 20 = 0.

azamat

For this case we have the following quadratic equation:

$6w ^ 2-7w-20 = 0$

Where:

$a = 6\\b = -7\\c = -20$

Its roots will be given by:

$w = \frac {-b \pm \sqrt {b ^ 2-4 (a) (c)}} {2 (a)}\\w = \frac {- (- 7) \pm \sqrt {(- 7) ^ 2-4 (6) (- 20)}} {2 (6)}\\w = \frac {7 \pm \sqrt {49 + 480}} {12}\\w = \frac {7 \pm \sqrt {529}} {12}\\w = \frac {7 \pm23} {12}$

The roots are:

$w_ {1} = \frac {7 + 23} {12} = \frac {30} {12} = \frac {15} {6} = \frac {5} {2}\\w_ {2} = \frac {7-23} {12} = \frac {-16} {12} = - \frac {8} {6} = - \frac {4} {3}$

Answer:

$w_ {1} = \frac {5} {2}\\w_ {2} = - \frac {4} {3}$

7 0

2 years ago

Read 2 more answers

Is this right??? I give Brainliest !

ratelena [41]

Answer:

It is right

Step-by-step explanation:

good job whatever your name is! you are very smart

5 0

2 years ago

A line is subdivided according to the golden ratio, with the smaller piece having a length of 8 meters. What is the length of th

maks197457 [2]

Answer:

the entire length is 202.25 or 203 when rounded to the nearest number.

Step-by-step explanation:

4 0

2 years ago

*PLEASE HELP MEEEEEE* You throw a dart at the board shown. Your dart is equally likely to hit any point inside the square board.

yawa3891 [41]

Answer:

19.63%

Step-by-step explanation:

The probability of scoring 8 points is the probability of getting a dart into the green circle.

That probability is equivalent to the area of the circle divided by the total area of the square board.

The area of the circle according to $A=\pi*r^2$ , is $25\pi$ cm squared

The area of the whole square board is one side squared: 20 squared = 400 cm squared

The probability is therefore equal to $25\pi/400 = \pi/16=0.19634=19.63%$ %

8 0

2 years ago

How can knowing how to represent proportional relationships in different ways be useful to solving problems

Anna35 [415]

Answer:

appropriately writing the proportion can reduce or eliminate steps required to solve it

Step-by-step explanation:

The proportion ...

$\dfrac{A}{B}=\dfrac{C}{D}$

is equivalent to the equation obtained by "cross-multiplying:"

AD = BC

This equation can be written as proportions in 3 other ways:

$\dfrac{B}{A}=\dfrac{D}{C}\qquad\dfrac{A}{C}=\dfrac{B}{D}\qquad\dfrac{C}{A}=\dfrac{D}{B}$

Effectively, the proportion can be written upside-down and sideways, as long as the corresponding parts are kept in the same order.

I find this most useful to ...

a) put the unknown quantity in the numerator

b) give that unknown quantity a denominator of 1, if possible.

The usual method recommended for solving proportions is to form the cross-product, as above, then divide by the coefficient of the variable. If the variable is already in the numerator, you can simply multiply the proportion by its denominator.

Example:

x/4 = 3/2

Usual method:

2x = 4·3

x = 12/2 = 6

Multiplying by the denominator:

x = 4(3/2) = 12/2 = 6 . . . . . . saves the "cross product" step

Example 2:

x/4 = 1/2 . . . . we note that "1" is "sideways" from x, so we can rewrite the proportion as ...

x/1 = 4/2 . . . . . . written with 1 in the denominator

x = 2 . . . . simplify

Of course, this is the same answer you would get by multiplying by the denominator, 4.

The point here is that if you have a choice when you write the initial proportion, you can make the choice to write it with x in the numerator and 1 in the denominator.

8 0

2 years ago