Answer:
and 
Step-by-step explanation:
sinB =
=
= 
tanC =
=
= 
Thus
sinB tanC =
×
( cancel b on numerator/ denominator )
= 
---------------------------------------------------------------------------
sinC =
=
= 
tanB =
=
= 
Thus
sinC tanB =
×
( cancel c on numerator/ denominator )
= 
Answer:
s=25
Step-by-step explanation:
The sample proportion of the the students that took fewer than the mean number of electives is given by the number of people who took less that the mean number of electives (i.e. 7.63) divided by the total number of students in the sample (i.e. 19). The total number of people who took less than 7.63 electives is 10. Therefore, the required sample proportion is 10 / 19.
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Answer:
Y = -1/2x+4
Step-by-step explanation:
The Y intercept is 4, so that's where the +4 comes in.
The slope is rise over run, so you count how many up you go from a whole number, in this case one, and that goes on top. Then you count how many it goes over, in this case two, and that goes on the bottom. The negative comes from which way the slope is going; down or up.
Given:
Carol has 88cm of string and cuts it in the ratio 5 : 6.
To find:
How much longer is the longest piece compared to the shortest piece.
Solution:
Let the lengths of two pieces of string are 5x and 6x. Then,




Now, the lengths of pieces are:


And,


The difference between the longer piece and shorter piece is:

Therefore, the longer piece is 8 m longer than the shorter piece.