Answer:
Option 2:
tangent squared (theta) + 1 = secant squared (theta)
Step-by-step explanation:
1 + tan²X
1 + sin²X/cos²X
(cos²X + sin²X)/cos²X
1/cos²X
sec²X
From the diagram we see there is a 90 degree angle, also the radius from a point B to the center of the circle is the same as the radius from the center of the circle to the right angle.
Let the radius be r.
sin a=opposite/adjacent
sin 76.6=r/(r+112)
0.973(r+112)=r
0.973r+108.976=r
r-0.973r=108.976
0.027r=108.976
r=108.976/0.027
r=4036.15 miles
the radius of earth will r=4036.15 miles
Answer:
88.3 ft3 is the answer hope this helps!!
Step-by-step explanation:
Answer:
moderate positive relationship
Step-by-step explanation:
From the data:
The linear relationship between score and rating can be obtained by calculating the Pearson correlation Coefficient between the two variables. This can be obtained more easily by using technology, a linear correlation Coefficient calculator. The result of the correlation Coefficient for the data above is about 0.66. This value is positive which shows that the association between the variables is positive, increase in one leads to increase in the other and vice versa. Also the value shows that the relationship is fairly strong.
Answer:
She will cycle 85.169 miles in the third week.
(round if needed)
Step-by-step explanation:
56÷100=0.56 (this is 1%)
0.56 x 15 + 56 = 64.4 (you find 15% then add 56 (the original amount) because it's an increase of 15%)
repeat for the other 3 weeks
64.4÷100=0.644
0.644 x 15 + 64.4 = 74.06
74.06÷100=0.7406
0.7406 x 15 + 74.06 = 85.169