The given area of the shape of 57.8·π cm², and length of the slant sides
being a factor of the radius, gives the length of the radius as <u>3.4 cm</u>.
<h3>How can the length of the radius be calculated?</h3>
Given;
Radius of the two cones are equal.
Slant height of one cone = 2 × Radius
Slant height of the other cone = 3 × Radius
Surface area of the shape = 57.8·π cm²
The curved surface area of a cone = π·r·l
Required:
The radius of the cone.
Solution;
Surface areas of the cones are therefore;
π·r × 2·r, and π·r × 3·r
The total surface area is therefore;
π·r × 2·r + π·r × 3·r = 57.8·π
5·r²·π = 57.8·π
Which gives;
r² = 57.8 ÷ 5 = 11.56
r = √(11.56) = 3.4
- The radius of the cones, r =<u> 3.4 cm</u>
Learn more about finding the surface area of 3-D shapes here:
brainly.com/question/15635229
Using correlation coefficients, it is found that the -0.63 correlation between number of absences and final exam score means that there is a strong negative correlation between number of absences and final exam score.
<h3>What is a correlation coefficient?</h3>
It is an index that measures correlation between two variables, assuming values between -1 and 1.
If it is positive, the relation is positive, that is, they are direct proportional. If it is negative, they are inverse proportional.
If the absolute value of the correlation coefficient is greater than 0.6, the relationship is strong.
In this problem, the correlation is of -0.63, hence:
It means that that there is a strong negative correlation between number of absences and final exam score.
To learn more about correlation coefficients, you can take a look at brainly.com/question/25815006
Answer:
1
Step-by-step explanation:
(Cot t) (Sin t)/(Cos t)
cot = cos / sin
Replacing cot t with cos t / sin t
cos t/ sin t * (Sin t)/(Cos t)
Canceling the sin t's
cos t / cos t
1
20& 10/35 - 26/35
19& 16/35 simplified to it's fullest.
Answer:
264
Step-by-step explanation:
took the test