Answer:
answer is : Cos(13pi/8) = 0.3826
Step-by-step explanation:
We have, Cos (13pi/8)
Since 13pi/8 can be shown as 3pi/2 < 13pi/8 < 2pi
Hence 13pi/8 lies on fourth quadrant.
In fourth quadrant cosine will be positive.
Cos (13pi/8) = cos(3pi/2 + pi/8)
applying formula cos(A+B) = cos A cosB - sinAsinB
i.e Cos(3pi/2 + pi/8) = cos(3pi/2)cos(pi/8) - sin(3pi/2)sin(pi/8)
∵ Remember cos(3pi/2) =0 , sin(3pi/2) = -1
Cos(3pi/2 + pi/8) = 0 cos(pi/8) - (-1)sin(pi/8)
Cos(3pi/2 + pi/8) = 0 + 0.3826
Cos(3pi/2 + pi/8) = 0.3826
Hence we got Cos(13pi/8) = 0.3826
Answer:
$2.046
Step-by-step explanation: I think..don't take my word.
<span>6+5w-9f-3
Substitute the variables for numbers
6+5(3)-9(4)-3
Multiply 5 by 3 and -9 by 4
6+15-36-3
Combine like terms
Final Answer: -18
</span>
Answer:
- 2730.54
- 18.8%
- 62.5% (decrease)
Step-by-step explanation:
The applicable formula is ...
rate = portion/base
so ...
base = portion/rate
Of course, a percentage is a fraction that has been multiplied by 100%.
__
1. base = portion/rate = 456/0.167 ≈ 2730.54
The base is about 2730.54.
__
2. rate = portion/base = 50/266 ≈ 0.18797 ≈ 18.8%
The rate is about 18.8%.
__
3. The decrease can be figured from ...
rate of change = (new amount)/(original) -1 = 33/88 -1
= -5/8 = -0.625 = -62.5%
The rate of decrease is 62.5%.
Answer:
x = 14
< A = 58 degrees
< B = 52 degrees
< C = 70 degrees
Step-by-step explanation:
Recall that the addition of the three internal angles of a triangle must render 180 degrees, then we can write:
<A + <B + <C = 180
and now replace with the algebraic expressions given for each angle:
2(x + 15) + 3 x + 10 + 5 x = 180
eliminate parenthesis
2 x + 30 + 3 x + 10 + 5 x = 180
combine like terms
10 x + 40 = 180
subtract 40 from both sides
10 x = 140
divide both sides y 10 to isolate x
x = 14
Now that we know x, we can calculate each of the angles using the fiven expressions:
< A = 2 (x + 15) = 2 (14 + 15) = 2 * 29 = 58 degrees
< B = 3 x + 10 = 3 * 14 + 10 = 52 degrees
< C = 5 x = 5 * 14 = 70 degrees
