Answer:
cos(F) = 9/41
Step-by-step explanation:
The triangles are similar, so you know that ...
... cos(D) = cos(A) = 40/41.
From trig relations, you know ...
... cos(F) = sin(D)
and
... sin(D)² +cos(D)² = 1
So ...
... cos(F) = sin(D) = √(1 -cos(D)²) = √(1 -(40/41)²) = √(81/1681)
... cos(F) = 9/41
_____
The ratio for cos(A) tells you that you can consider AB=40, AC=41. Then, using the Pythagorean theorem, you can find BC = √(41² -40²) = √81 = 9.
From the definition of the cosine, you know cos(C) = BC/AC = 9/41. Because the triangles are similar, you know
... cos(F) = cos(C) = 9/41
Answer:
The GCF for 84 and 90 is 6.
Step-by-step explanation:
The factors of 84 are: 1, 2, 3, 4, <u>6</u>, 7, 12, 14, 21, 28, 42, 84
The factors of 90 are: 1, 2, 3, 5, <u>6</u>, 9, 10, 15, 18, 30, 45, 90
Then the greatest common factor is 6.
Answer:
Step-by-step explanation:
Im pretty sure the answer is 1.4 or D
X represents the number
4x+13=(1/2)x-8 this is the equation
4x-(1/2)x=(-8)-13 combine like terms
(3 1/2)x=-21 simplify!
(7/2)x=-21 convert 3 1/2 into a fraction
x=(-21)(2/7) multiply both sides by 2/7 in order to isolate x
The answer is X= -6
PEMDAS
When solving an equation we do them in reverse order
AS adding and subtracting
MD multiplication and division
E exponents
Basically we are trying to get the variable alone.
12=10-3x
subtract 10 from each side
then divide by -3 on each side
3/5 x -12 = 18
first add 12 to each side
then multiply by 5/3 to each side