Answer:
7y-3x-8z
Step-by-step explanation:
(3y+4y)+(2x-5x)-8z
7y+(2x-5x)-8z
7y-3x-8z
Answer:
tan(x-y) = -16/63
Step-by-step explanation
Tan(x-y) if cscx=13/5 and coty=4/3
Given
coty = 4
1/tany = 4/3
Cross multiply
tan y = 3/4
Also since cscx = 13/5
1/sinx = 13/5
sinx = 5/13
Since sinx = opp/hyp
opp = 5
hyp = 13
Get the adjacent
hyp² = opp²+adj²
13² = 5²+adj²
adj² = 13² - 5²
adj² = 169 - 25
adj² = 144
adj = 12
cosx = adj/hyp
cosx = 12/13
tanx = sinx/cosx
tanx = (5/13)/(12/13)
tanx = 5/13 * 13/12
tan x = 5/12
tan(x-y) = tanx - tany/1+tanxtany
tan(x-y) = (5/12 - 3/4)/1+(5/12)(3/4)
tan(x-y) = (5-9/12)/1+5/16
tan(x-y) = -4/12/(21/16)
tan(x-y) = -1/3 * 16/21
tan(x-y) = -16/63
Answer:
; 
Step-by-step explanation:
Score of the first two quizzes: 75 and 97
Let n represent the third score
Average score would be: 
.
Given that the average score fall between 85 and 90, this can be represented by the compound inequality as shown below:
Solve for n in each statement that makes up the compound inequality:
Multiply both sides by 3
Subtract 172 from each side of the inequality
Also,
Multiply both sides by 3
Subtract 172 from both sides of the inequality
Combining both together, the possible values of her third quiz score would be:
Answer: The answer is 3.77.
Explanation: Since 0.10 is 10 times smaller than 1, we know that if we divide 37.7 by 10, we will get the same answer as 0.10 x 37.7.
