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Lady_Fox [76]
2 years ago
14

Charlie wants to know the length of Charlie wants to know the length of a tunnel built through a mountain. To do so, he makes th

e measurements shown in the figure below. Use these
measurements to find the length of the tunnel.
238 m
171
Carry your intermediate computations to at least four decimal places.
Round your answer to the nearest tenth of a meter

Mathematics
1 answer:
nekit [7.7K]2 years ago
3 0

Answer:To do so, she makes the measurements shown in the figure below.

Step-by-step explanation:

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Michelle has a maximum of 4500 milliliters  of water for her plants today. Each basil plant requires 350 of water, and each fenn
anyanavicka [17]

The inequality becomes :

350B+525F≤4500

Explanation:

Let the number of basil plants be represented by = B

Let the number of fennel plants be represented by = F

As each basil plant needs 350 ml of water, so B basil plants will need 350*B = 350B ml of water

Similarly, each fennel plant needs 525 ml of water so F fennel plants will need 525*F = 525F ml of water.

And both the plants need to be watered with a maximum of 4500 ml of water.

So inequality becomes: 350B+525F≤4500

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4 years ago
The lines y equals=3x minus−1 and y equals=ax plus+2 are perpendicular if aequals=​_______.
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Since perpendicular lines have their slopes as negative reciprocals, the negative reciprocal of the given slope (3) is -1/3. Therefore the a value is -1/3.
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3 years ago
Find the vertices and foci of the hyperbola with equation quantity x plus one squared divided by sixteen minus the quantity of y
katrin2010 [14]

Answer:

The vertices are (3 , -5) , (-5 , -5)

The foci are (4 , -5) , (-6 , -5)

Step-by-step explanation:

* Lets study the equation of the hyperbola

- The standard form of the equation of a hyperbola with  

  center (h , k) and transverse axis parallel to the x-axis is

  (x - h)²/a² - (y - k)²/b² = 1

- The length of the transverse axis is 2 a

- The coordinates of the vertices are  (h  ±  a  ,  k)

- The coordinates of the foci are (h ± c , k), where c² = a² + b²

- The distance between the foci is  2c

* Now lets solve the problem

- The equation of the hyperbola is (x + 1)²/16 - (y + 5)²/9 = 1

* From the equation

# a² = 16 ⇒ a = ± 4

# b² = 9 ⇒ b = ± 3

# h = -1

# k = -5

∵ The vertices are (h + a , k) , (h - a , k)

∴ The vertices are (-1 + 4 , -5) , (-1 - 4 , -5)

* The vertices are (3 , -5) , (-5 , -5)

∵ c² = a² + b²

∴ c² = 16 + 9 = 25

∴ c = ± 5

∵ The foci are (h ± c , k)

∴ The foci are (-1 + 5 , -5) , (-1 - 5 , -5)

* The foci are (4 , -5) , (-6 , -5)

4 0
3 years ago
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Step-by-step explanation:

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3 years ago
Determine whether the given value is a statistic or a parameter. A sample of seniors is selected and it is found that 65% own a
sp2606 [1]

Answer: A. Statistic because the value is a numerical measurement describing a characteristic of a sample.

Step-by-step explanation: Statistic are used to describe values obtained from a data sample which are regarded as a subset of the data belonging to an entire population. Therefore, in statistical parlance, numerical measurement obtained from such dataset are called statistic. On the other hand, if data from which a numerical derivation was made is a population which consists of the entire set of observations belonging to a particular group of interest, then the numerical values obtained are referred to as a parameter.

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