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vazorg [7]
3 years ago
7

For rhombus LMNO, m∠LON = 102° and NP = 5 units. Use the diagram of rhombus LMNO to find the missing measures. The measure of ∠L

PM is °. The measure of ∠PMN is °. The length of LN is units.
Mathematics
2 answers:
aivan3 [116]3 years ago
8 0
LPM = 90

PMN = 51

LN = 10
Phantasy [73]3 years ago
8 0

Answer: angle LPM = 90, angle PMN = 51, side LN = 10

Explanation: Since, In case of rhombus, Diagonals bisect each other with the angle of 90, and corresponding angles are equal.

Here, In rhombus LMNO

\angle LON=\angle PMN = 102° (because both are corresponding angles)

⇒ \angle PMN =\angle LMN/2=102°/2

⇒\angle LPM =51°

Now, \angle LPM=90°

and, LN=LP+PN=5+5=10 unit.



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Mekhanik [1.2K]

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Under this method we usually  take a fixed percentage of our revenues and further allocating this amount for marketing. We will choose the percentage that works best for us.

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This method determines our marketing budget as a fraction of our net sales. This method will take a lot of trial and error to find the percentage that works well for our company.

<u><em>3. Industry specific:</em></u>

Nowadays, industries have specific projections as to the amount they will need to spend on marketing . The best way to get these numbers is to find a firm that represents our industry and ask them to provide us with averages. We can then refine the actual costs.

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4 0
3 years ago
Identify intervals on which the function is increasing, decreasing, or constant.
tigry1 [53]
G ( x ) = 2 - ( x - 7 )²
g ( x ) = 2 - ( x² - 14 x + 49 )
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g ( x ) = - x² + 14 x - 47
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x = - 14 / ( - 2 ) = 7
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C.   increasing, x < 7; decreasing x > 7.
3 0
2 years ago
An ellipse has a center at the origin, a vertex along the major axis at (0, 17), and a focus at (0, −8). Which equation represen
Marianna [84]
We know that
<span>Since the focus and vertex are above and below each other, rather than side by side, I know that this ellipse must be taller than it is wide.
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</span>Also, since the focus is 8 <span>units below the center, then </span><span>c = 8
</span>since the vertex is 17<span> units above, then </span><span>a = 17
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the equation is
y²/a²+x²/b²=1------> y²/289+x²/225=1

the answer is
y²/289+x²/225=1

see the attached figure

7 0
3 years ago
Read 2 more answers
A cylinder with a radius of 6cm and height of 15 cm has a cylindrical cut out of the
suter [353]

Answer:

V = 518cm^3

Step-by-step explanation:

Given

h = 15cm

R = 6cm

r =5cm

Required

The volume of the remaining cylinder

Before the cut-out, the cylinder has a volume (V) of:

V = \pi R^2h

After the cut-out, the cylinder has a volume of:

V = \pi [R^2 -r^2]h

So, we have:

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6 0
2 years ago
Engineers must consider the diameters of heads when designing helmets. The company researchers have determined that the populati
IrinaK [193]

Answer:

1. The minimum head breadth that will fit the clientele is of 3.95-in.

2. The maximum head breadth that will fit the clientele is of 9.25-in.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 6.6-in and a standard deviation of 1.1-in.

This means that \mu = 6.6, \sigma = 1.1

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X - 6.6 = -2.41*1.1

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The minimum head breadth that will fit the clientele is of 3.95-in.

2. What is the maximum head breadth that will fit the clientele?

The 100 - 0.8 = 99.2nd percentile, which is X when Z has a p-value of 0.992, so X when Z = 2.41.

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2.41 = \frac{X - 6.6}{1.1}

X - 6.6 = 2.41*1.1

X = 9.25

The maximum head breadth that will fit the clientele is of 9.25-in.

8 0
2 years ago
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