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Allisa [31]
3 years ago
8

If sinA = -4/5 and cosB = 12/13, where A and B are both in Quadrant IV, what is tan(A-B)?

Mathematics
1 answer:
Kisachek [45]3 years ago
3 0

Answer:

4-5 12 -13

Step-by-step explanation:

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A cylinder and a cone have congruent heights and radii.what is the ratio of the volume of the cone to the volume of the cylinder
NemiM [27]

Answer:

1: 3 ratio of the volume of the cone to the volume of the cylinder

Step-by-step explanation:

Volume of cone(V) is given by:

V = \frac{1}{3} \pi r^2h

where, r is the radius and h is the height of the cone.

Volume of cylinder(V') is given by:

V' = \pi r'^2h'

where,  r' is the radius and h' is the height of the cylinder.

As per the statement:

A cylinder and a cone have congruent heights and radii.

⇒r = r' and h = h'

then;

\frac{V}{V'} = \frac{ \frac{1}{3} \pi r^2h}{\pi r'^2h'} = \frac{ \frac{1}{3} \pi r'^2h'}{\pi r'^2h'}

⇒\frac{V}{V'} =\frac{1}{3} = 1 : 3

Therefore, the ratio of the volume of the cone to the volume of the cylinder is, 1 : 3

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SSHA scores Here are the scores on the Survey of Study Habits and Attitudes (SSHA) for 18 first-year college women:154 109 137 1
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Women has better study habit than men.

Step-by-step explanation:

For knowing who has better study habits and attitudes toward learning we have to find the mean of both the women and men data.

The first step is that we only take first 18 values of both women(X) and men(Y) data, to make them of same length

Mean is used to measure the central tendency of data which represents the whole data in the best way. It can be found as the ratio of the sum of all the observations to the total number of observations.  

Calculating all values:

\bar{X} = 141.0556

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Thus, women has better study habit than men. Since Mean of X is larger than Mean of Y.

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