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klasskru [66]
3 years ago
8

Look at the figure below: A circle is shown with the center O. OP is a segment joining center O to a point P on the circle. MN i

s a line touching the circle in Point P. Line ST is shown intersecting the circle in points Q and R. Which is the tangent to the circle? Segment OP Line ST Line MN Segment QR
Mathematics
2 answers:
V125BC [204]3 years ago
8 0
So if OP is a segment joining center O to point P, the MN is touching the circle on point P so it would be line MN.
Citrus2011 [14]3 years ago
7 0

Answer: Line MN

Step-by-step explanation: Line MN is tangential to the circle at point P. This means that Line MN touches the circle at exactly one point, point P without entering the circle's interior. Tangents are straight line and the point at which Line MN touches the circle is known as the point of tangency. This tangent is perpendicular to the radius of the circle at the point of tangency (point P). Tangents are also base principles to many theorems, constructions and proofs.

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How deep is the water 31.5 feet from the shore? 05<br> (10 Points)
pantera1 [17]

Answer:

This is impossible to answer, unless there is a picture that is not there.

Step-by-step explanation:

6 0
2 years ago
Please help me with number 26, thank you
Umnica [9.8K]
It's not prime and it can be timed by 2
8 0
3 years ago
The demand for a daily newspaper at a newsstand at a busy intersection is known to be normally distributed with a mean of 150 an
AURORKA [14]

Answer:

171 newspapers.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 150, \sigma = 25

How many newspapers should the newsstand operator order to ensure that he runs short on no more than 20% of days

The number of newspapers must be on the 100-20 = 80th percentile. So this value if X when Z has a pvalue of 0.8. So X when Z = 0.84.

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

0.84 = \frac{X - 150}{25}

X - 150 = 0.84*25

X = 171

So 171 newspapers.

4 0
3 years ago
An aircraft manufacturer wants to determine the best selling price for a new airplane. The company estimates that the initial co
Blizzard [7]

Answer:

(a) C(x)=500+20x-5x^{\frac{3}{4}}+0.01x^2

    p(x)=320-7.7p

    R(x)=(320-7.7p)p=320p-7.7p^2

(b) x=82 \text{planes}

(c) p=\$30.91 M\;\; \text{per plane}

(d) maximum profit =\$ 15.90M

Step-by-step explanation:

Given that,

The company estimates that the initial cost of designing the aeroplane and setting up the factories in which to build it will be 500 million dollars.

The additional cost of manufacturing each plane can be modelled by the function.

m(x)=20x-5x^{\frac{3}{4}}+0.01x^2

(a)  Find the cost, demand (or price), and revenue functions.

   C(x)=500+20x-5x^{\frac{3}{4}}+0.01x^2

   p(x)=320-7.7p

   R(x)=(320-7.7p)p=320p-7.7p^2

(b)  Find the production level that maximizes profit.

    f=R(x)-C(x)

 \Rightarrow f=320p-7.7p^2-(500+20x-5x^{\frac{3}{4}}+0.01x^2)

\Rightarrow df=320dp-15.4pdp-20dx+5(\frac{3}{4} )x^{\frac{-1}{4} }dx-0.02xdx

     x=320-7.7p

     p=\frac{320-x}{7.7}

    \frac{dp}{dx} = \frac{-1}{7.7}

\frac{df}{dx}=\frac{320}{-7.7} -\frac{15.4(320-x) }{7.7(\frac{-1}{7.7} )}-20+5\frac{3}{4} x^{\frac{-1}{4}} -0.02x=0

    \Rightarrow -41.5584+83.1169-0.2597x-20+3.75x^{\frac{-1}{4} }-0.02x=0

   \Rightarrow 21.5585+3.75x^{\frac{-1}{4} }-0.279x=0

   \Rightarrow x=82 \text{planes}

(c)  Find the associated selling price of the aircraft that maximizes profit.

  p=\frac{320-82}{7.7}

\Rightarrow p=\$30.91 M\;\; \text{per plane}

(d)  Find the maximum profit.

Manufacturing cost of one plane is:

m(1)=20-5+0.01

         =\$15.01 M

maximum profit =\$(30.91-15.01)M

                           =\$15.90M

3 0
3 years ago
Can u guys please answer these Pythagoras theorem questions. First person to answer this questions will be marked as brainest an
VashaNatasha [74]

Answer:

d. 21.5

Step-by-step explanation:

To find the missing side length of each triangle, use the pythagorean theorem. The theorem is a^2 + b^2 = c^2 where a, b, and c are all side lengths of the triangle. a is the smallest lef and b is the other leg while c is always the hypotenuse or longest side.

In d, you'll use it twice to find the missing measure. First use it when a = 12 and b = 20. So you'll have:

12^2 + 20^2 = c^2\\144 + 400 = c^2\\544 = c^2\\\sqrt{544} = c\\ 23.32 = c

Repeat the same process using a = 9 and c = 23.32. Then solve for the b value.

9^2 + b^2 = 23.32^2\\81 + b^2 = 544\\b^2 = 544 - 81\\b^2 = 463\\b = \sqrt{463} \\b = 21.5

4 0
3 years ago
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