Answer:
The cotangent of the angle will be b/a
Step-by-step explanation:
Since the cotangent and tangent are reciprocals of each other and the tangent of the same angle is a/b where a and b are not zero,
then the cotangent will be the reciprocal of the value of the tangent
= 1 / (a/b)
= 1 x (b/a)
= b/a
Answer:
4
Step-by-step explanation:
WA times AX = YA x YZ
8x5=40
because they have to equal each other we just have to divide 40 by 10
40/10=4 so segment YZ=4
Answer:
Jenna had 25 quarters and 15 dimes.
Step-by-step explanation:
Let Q = the number of quarters and D = the number of dimes.
Then:
1) Q+D = 40 "One week she had 40 coins, all of them dimes and quarters...."
2) 0.25Q+0.1D = $7.75 "...she had a total of $7.75."
Rewrite equation 1) as: D = 40-Q and substitute into equation 2).
2a) 0.25Q+0.1(40-Q) = 7.75 Simplify the left side.
2b) 0.25Q+4-0.1Q = $7.75 Subtract 4 from both sides.
2c) 0.25Q-0.1Q = 3.75 Combine the like-terms on the left side.
2d) 0.15Q = 7.75 Divide both sides by 0.15
2e) Q = 25 and:
D = 40-Q
D = 40-25
D = 15
Jenna had 25 quarters and 15 dimes.
Answer:
Step-by-step explanation:
Subtract 4 times the first equation from the second:
(-7y +16x -80) -4(-9y +4x -20) = (0) -4(0)
29y = 0 . . . . . simplify
y = 0 . . . . . . . .divide by 29
4x -20 = 0 . . . . substitute 0 for y in the first equation
x -5 = 0 . . . . . .divide by 4
x = 5 . . . . . . . . add 5
The solution to this system is (x, y) = (5, 0).
Factor 3d out of 6d^2 -21d
Answer: 3d(2d-7)
