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Len [333]
2 years ago
6

In circle O, tangent MN and secant MPQ are drawn to the circle from exterior point M. If MP = 6 and PQ = 8 then which of the fol

lowing is the length of MN ?
(1) 7
(2) 42
(3) 4 square root 3
(4) 2 square root 21
Mathematics
1 answer:
deff fn [24]2 years ago
3 0

Answer:

42

Step-by-step explanation:

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Rohen decided to collect data to determine if the size of a student's home and the student's age are correlated. He determined t
sukhopar [10]

Answer:

A correlation coefficient of 0.02 indicates that the data are not correlated.

Step-by-step explanation:

0.02 is very close to zero and tells you that there is no linear relationship between the two variables.

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2 years ago
Maria is making paper flowers as decorations for the fall dance. She has made 40 flowers so far, and she is 16% finished. If she
alexandr1967 [171]

Answer:

the number of additional she needed is 135

Step-by-step explanation:

The computation is shown below:

GIven that

40 flowers of 16%

So for 100% it would be

= 40 ×100 ÷ 16

= 250

Now she needs to make is

= 70% - 16%

= 54%

Now the additional would be

= 250 × 54%

= 135

Hence, the number of additional she needed is 135

5 0
1 year ago
Determine the values of c so that the following functions represent joint probability distributions of the random variables X an
Anna11 [10]

Answer:

The joint probility density will be c = 1/36

The joint probability distribution will be c = 1/15

Step-by-step explanation:

For step by step explanation see the pucture attached

7 0
1 year ago
Read 2 more answers
Given that tangent theta = negative 1, what is the value of secant theta, for StartFraction 3 pi Over 2 EndFraction less-than th
Rashid [163]

Answer:

sec(\theta)=\frac{2}{\sqrt{2} }=\sqrt{2}

Step-by-step explanation:

Start by noticing that the angle \theta is on the 4th quadrant (between \frac{3\pi}{2} and 2\pi. Recall then that in this quadrant the functions tangent and cosine are positive, while the function sine is negative in value. This is important to remember given the fact that tangent of an angle is defined as the quotient of the sine function at that angle divided by the cosine of the same angle:

tan(\theta)=\frac{sin(\theta)}{cos(\theta)}

Now, let's use the information that the tangent of the angle in question equals "-1", and understand what that angle could be:

tan(\theta)=\frac{sin(\theta)}{cos(\theta)}\\-1=\frac{sin(\theta)}{cos(\theta)}\\-cos(\theta)=sin(\theta)

The particular special angle that satisfies this (the magnitude of sine and cosine the same) in the 4th quadrant, is the angle \frac{7\pi}{4}

which renders for the cosine function the value \frac{\sqrt{2} }{2}.

Now, since we are asked to find the value of the secant of this angle, we need to remember the expression for the secant function in terms of other trig functions: sec(\theta)=\frac{1}{cos(\theta)}

Therefore the value of the secant of this angle would be the reciprocal of the cosine of the angle, that is: sec(\theta)=\frac{2}{\sqrt{2} }=\sqrt{2}

6 0
1 year ago
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Cameras R Us has a sale for 25% off camera bags, which is a discount of $20. Explain how you can set up a diagram to find the or
Rasek [7]

Answer:

SAMPLE RESPONSE( The diagram should have five columns, one for each 25% and one for the total, because 25% is 1

4

of 100%. It should have 2 rows, 1 for percents and 1 for dollar amounts.

Step-by-step explanation:

Edg2020

8 0
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