Rewrite the fractions as improper fractions:
1. −4 2/5 ÷ (−5)
= -22/5 ÷ −5/1
= -22/5 x -1/5
=22/25
2. −4 4/5÷4
= -24/5 ÷ 4/1
= -24/5 x 1/4
= -6/5
= -1 1/5
3. −2 1/8 ÷ 1 1/4
= -17/8 ÷ 5/4
= -17/8 x 4/5
= -68/40
= -17/10
=-1 7/10
4. −6 7/8 ÷ (−3 3/4)
= -55/8 ÷ -15/4
= -55/8 x -4/15
= 220/40
= 11/6
= 1 5/6
5. −8 3/4÷ 2 1/6
= -35/4 ÷ 13/6
= -35/4 x 6/13
= -210/52
= - 105/26
= -4 1/26
Answer:cos( A + B ) = cosAcosB - sinAsinB ;
cos( A + B ) / ( cosAsinB ) = ( cosAcosB - sinAsinB ) / ( cosAsinB ) = ( cosAcosB ) / ( cosAsinB ) - ( sinAsinB ) / ( cosAsinB ) = cosB / sinB - sinA / cosA = cotB - tanA ;
tan²(x) - sin²(x) = sin²(x)/cos²(x) - sin²(x)
… = sin²(x) (1/cos²(x) - 1)
… = sin²(x) (sec²(x) - 1)
… = sin²(x) tan²(x)
Step-by-step explanation:
The answer is D). It increases by 13.
If you put the numbers in order from least to greatest.. 26,34,38,49,65,75,81
You will see the 26 is the smallest number and 81 in the highest number. The range between the two numbers is 55. To find the range you take the smallest number and subtract it from the biggest number. But when you add the number 13 to the problem then26 is no longer the smallest Number because 13 replaced it. So then you take 81 and subtract 13 from it and get 68. And then you take 55 and subtract it from 68 and come with 13. Which makes the answer D.
Answer:
Step-by-step explanation:
r=96/128=3/4
This is because when we do verification of an
identity, we must work separately on both sides, and to see in the end
if we can get an equality. Because if we square both sides, that already means
that we assume that the equality exist in the beginning, so no need to
verify the identity.