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AnnZ [28]
3 years ago
8

Josh is hiking Glacier National Park. He has now hiked a total of 17 \text{ km}17 km17, space, k, m and is 2 \text{ km}2 km2, sp

ace, k, m short of being \dfrac12
​2
​
​1
​​ start fraction, 1, divided by, 2, end fraction of the way done with his hike.
Write an equation to determine the total length in kilometers (h)(h)left parenthesis, h, right parenthesis of Josh's hike.

Find the total length of Josh's hike.

\text{km}km
Mathematics
1 answer:
Butoxors [25]3 years ago
3 0
17 * 2 would be 34 km is the total length
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The ratio of girls to boys in a class is 3:5 what fraction of the class are girls?
Wewaii [24]

Answer:

Hello!!

If the ratio of girls to boys in a class is 3:5, the fraction of the class that are girls is...

\frac{3}{5}

Hope this helps!!

8 0
3 years ago
Find a positive number for which the sum of it and its reciprocal is the smallest​ (least) possible. Let x be the number and let
Allisa [31]

Answer:

S(x) = x + \frac{1}{x} --- Objective function

Interval = \{x:x=1\}

Step-by-step explanation:

Given

Represent the number with x

The required sum can be represented as:

x + \frac{1}{x}

Hence, the objective function is:

S(x) = x + \frac{1}{x}

To get the the interval, we start by differentiating w.r.t x

<em>Using first principle, this gives:</em>

S'(x) = 1 - \frac{1}{x^2}

Equate S'(x) to 0 in order to solve for x

0 = 1 - \frac{1}{x^2}

Subtract 1 from both sides

0 -1 = 1 -1 - \frac{1}{x^2}

-1 = - \frac{1}{x^2}

Multiply both sides by -1

1 = \frac{1}{x^2}

Cross Multiply

x^2 * 1 = 1

x^2  = 1

Take positive square root of both sides because x is positive

\sqrt{x^2} = \sqrt{1

x = 1

Representing x using interval notation, we have

Interval = \{x:x=1\}

To get the smallest sum, we substitute 1 for x in S(x) = x + \frac{1}{x}

S(1) = 1 + \frac{1}{1}

S(1) = 1 + 1

S(1) = 2

<em>Hence, the smallest sum is 2</em>

3 0
3 years ago
Find m/KMN. L 60° K 1⁰40 6x (11x+15)° N​
miskamm [114]

Answer:

  114°

Step-by-step explanation:

The exterior angle is the sum of the remote interior angles.

__

<h3>setup</h3>

  (11x +15)° = 60° +6x°

<h3>solution</h3>

  5x = 45 . . . . . . . . . divide by °, subtract 15+6x

  x = 9 . . . . . . . . . . divide by 5

The measure of exterior angle KMN is ...

  m∠KMN = (11(9) +15)° = 114°

_____

<em>Additional comment</em>

Both the sum of interior angles and the sum of angles of a linear pair are 180°. If M represents the interior angle at vertex M, then we have ...

  60° +6x° +M = 180°

  (11x +15)° +M = 180°

Equating these expressions for 180° and subtracting M gives the relation we used above:

  (11x +15)° +M = 60° +6x° +M . . . . . equate the two expressions for 180°

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This is also described by "supplements to the same angle are equal."

4 0
2 years ago
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An ethanol railroad tariff is a fee charge for shipments of ethanol on public railroads. The Agriculture Marketing Service publi
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Answer:

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Step-by-step explanation:

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On substituting the values, we get

⇒      =\frac{1150}{\sqrt{500} }

then,

⇒      =P(-1.94

⇒      =P(Z

On using the table of P, we get

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⇒      =0.9476

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3 years ago
The three angles of a triangle measure x+37, 90, and x+67. Find the measurement of the smallest angle in degrees.
Kisachek [45]

Step-by-step explanation:

so the smallest angle is angle A which is 30 degree

7 0
2 years ago
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