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Naddik [55]
3 years ago
10

A coach jogs 1.8 miles on Monday, 1.3 miles on Tuesday, and 1.2 miles on Wednesday. If the coach's friend jogs twice as far as t

he coach, how many miles does the coach's friend jog
Mathematics
1 answer:
Bond [772]3 years ago
4 0

Answer:

Coach's friend jog <u>8.6 miles</u>.

Step-by-step explanation:

Given:

A coach jogs 1.8 miles on Monday, 1.3 miles on Tuesday, and 1.2 miles on Wednesday.

If the coach's friend jogs twice as far as the coach.

Now, to find the miles the coach's friend jog.

<em>Coach jogs on Monday = 1.8 miles.</em>

<em>Coach jogs on Tuesday = 1.3 miles.</em>

<em>Coach jogs on Wednesday = 1.2 miles.</em>

Total miles coach jog <em>= </em>1.8+1.3+1.2=4.3\ miles.<em />

As, coach's friend jogs twice as coach.

So, to get the miles coach's friend jogs multiply total miles coach jog by 2 we get:

Total\ miles\ coach\ jog\times 2

 4.3\times 2\\\\=8.6\ miles.

Therefore, coach's friend jog 8.6 miles.

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Answer:

Thus, the two root of the given quadratic equation x^2+4=6x is 5.24 and 0.76 .

Step-by-step explanation:

Consider, the given Quadratic equation, x^2+4=6x

This can be written as ,  x^2-6x+4=0

We have to solve using quadratic formula,

For a given quadratic equation ax^2+bx+c=0 we can find roots using,

x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}  ...........(1)

Where,  \sqrt{b^2-4ac} is the discriminant.

Here, a = 1 , b = -6 , c = 4

Substitute in (1) , we get,

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

\Rightarrow x=\frac{-(-6)\pm\sqrt{(-6)^2-4\cdot 1 \cdot (4)}}{2 \cdot 1}

\Rightarrow x=\frac{6\pm\sqrt{20}}{2}

\Rightarrow x=\frac{6\pm 2\sqrt{5}}{2}

\Rightarrow x={3\pm \sqrt{5}}

\Rightarrow x_1={3+\sqrt{5}} and \Rightarrow x_2={3-\sqrt{5}}

We know \sqrt{5}=2.23607(approx)

Substitute, we get,

\Rightarrow x_1={3+2.23607}(approx) and \Rightarrow x_2={3-2.23607}(approx)

\Rightarrow x_1={5.23607}(approx) and \Rightarrow x_2=0.76393}(approx)

Thus, the two root of the given quadratic equation x^2+4=6x is 5.24 and 0.76 .

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Use counting to determine the whole number that corresponds to the cardinality of these sets:______. (a) A= (xl x € Nand 20.&lt;
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Step-by-step explanation:

Cardinality of a set is defined as number of element in a set. It is represented as n(X) where X is any set.

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According to the set A, it can be seen that there are 6 elements in the set, <em>this means n(A) = 6.</em>

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<em>The total number of elements in both set = 29 i.e n(D) = 29 </em>

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