Answer:
2.63274768567
Step-by-step explanation:
First, note that 3.1415... is p, so 2(3.1415...) is 2pi and 4(3.1415...) is 4pi.
2pi and 4pi are full rotations, which will lead to the same cosine (i.e. cos(x) = cos (x+2pi) = cos(x+4pi) = ... = cos (x+2k*pi)).
So, the expression equals cos0.5 + cos 0.5 + cos0.5 = 3cos0.5 = 3(0.87758256189) = 2.63274768567
I hope this helps! :)
Answer:
c
Step-by-step explanation:
A supplmentary angle = 180°
∠BDE and ∠BDF are vertical angles, and so are congruent.
∠BDF = 125°, because ∠BDF ≅ ∠BDE.
∠CDA ≅ ∠EDF
∠CDA = 90°
<span>line BJ </span> is angle bisector of ∠CDA. ∠CDB is 1/2 of ∠CDA
∠CDA = 90°
∠CDB = 90/2
∠CDB = 45°
∠GDF is a vertical angle of ∠CDB, and it's measurement will be the same as ∠CDB.
∠GDF ≅ ∠CDB
∠CDB = 45°
∠GDF = 45°
∠GDF = 45° should be your answer
hope this helps
Answer:
a) f(x) = (-1/3)x + 8
b) f(x) = (1/3)x + 9
Step-by-step explanation:
f(x) = 1/3x - 8
a) To reflect across the x axis multiply f(x) by -1.
-f(x) = -1 (1/3x - 8)
= (-1/3)x + 8
b) to translate up 17 units add 17 to f(x)
f(x) + 17=
= 1/3x - 8 + 17
= 1/3x + 9
Answer:

Step-by-step explanation:
To answer this question you need to get the same denominator (bottom number of a fraction ) on both values
Because 7 is a factor of 35, you can multiply the whole fraction by 5, (so that the first fraction has a denominator of 35 which is the same as the other value)
×5
then you add them up but remember if the denominator is the same you do <u>not </u> add them.

Hope the answer is right, Ask if unsure :)