The expression equivalent to 0.2x is 0.1x
Use PEMDAS.
Parenthesis first.
(-15)-(-12)+3-(-9)
Next multiply,
(-15)+12+3+9 (two negatives get you a positive)
Finally, add and subtract:
-15+24=9
You get 9 as your answer.
Hope this helps!
Answer:
Valume of cylinder : πr² × h = π × 5² × 15 = 375π ≈ 1177.5 cm³
Answer: -1
Step-by-step explanation:
You want to find an angle that is coterminal to 495. So, subtract 360 degrees until youre in the range of 0-360. I got 495 - 360 = 135°
Tangent is equal to
, we already solved theta which was 135°
This next part is hard to explain to someone who doesnt know their trig circle, idk if you do. The angle 135 is apart of the pi/4 gang. So we know this is going to be some variant of √2/2. Sine of quadrant 1 and 2 is gonna be positive:
![sin135=\frac{\sqrt{2} }{2}](https://tex.z-dn.net/?f=sin135%3D%5Cfrac%7B%5Csqrt%7B2%7D%20%7D%7B2%7D)
Now lets do cosine of 135°, which again is apart of the pi/4 gang because its divisible by 45°. Its in quadrant 2 so the cosine will be negative.
![cos135=-\frac{\sqrt{2} }{2}](https://tex.z-dn.net/?f=cos135%3D-%5Cfrac%7B%5Csqrt%7B2%7D%20%7D%7B2%7D)
The final step is to divide them. They are both fractions so you should multiply by the reciprocal.
![\frac{\sqrt{2} }{2} *-\frac{2}{\sqrt{2} } =-\frac{2\sqrt{2} }{2\sqrt{2} } =-1](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%7B2%7D%20%7D%7B2%7D%20%2A-%5Cfrac%7B2%7D%7B%5Csqrt%7B2%7D%20%7D%20%3D-%5Cfrac%7B2%5Csqrt%7B2%7D%20%7D%7B2%5Csqrt%7B2%7D%20%7D%20%3D-1)