They are both in the ten thousands place
Answer:
21 1/2 yd
Step-by-step explanation:
43/4 + 43/4 = 21 1/2 yd
Answer:
cos(a + b) = ![\frac{1}{12}(1-2\sqrt{30})](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B12%7D%281-2%5Csqrt%7B30%7D%29)
Step-by-step explanation:
cos(a + b) = cos(a).cos(b) - sin(a).sin(b) [Identity]
cos(a) = ![-\frac{1}{3}](https://tex.z-dn.net/?f=-%5Cfrac%7B1%7D%7B3%7D)
cos(b) = ![-\frac{1}{4}](https://tex.z-dn.net/?f=-%5Cfrac%7B1%7D%7B4%7D)
Since, terminal side of angle 'a' lies in quadrant 3, sine of angle 'a' will be negative.
sin(a) =
[Since, sin(a) =
]
= ![-\sqrt{\frac{8}{9}}](https://tex.z-dn.net/?f=-%5Csqrt%7B%5Cfrac%7B8%7D%7B9%7D%7D)
= ![-\frac{2\sqrt{2}}{3}](https://tex.z-dn.net/?f=-%5Cfrac%7B2%5Csqrt%7B2%7D%7D%7B3%7D)
Similarly, terminal side of angle 'b' lies in quadrant 2, sine of angle 'b' will be negative.
sin(b) =
= ![-\sqrt{\frac{15}{16}}](https://tex.z-dn.net/?f=-%5Csqrt%7B%5Cfrac%7B15%7D%7B16%7D%7D)
= ![-\frac{\sqrt{15}}{4}](https://tex.z-dn.net/?f=-%5Cfrac%7B%5Csqrt%7B15%7D%7D%7B4%7D)
By substituting these values in the identity,
cos(a + b) = ![(-\frac{1}{3})(-\frac{1}{4})-(-\frac{2\sqrt{2}}{3})(-\frac{\sqrt{15}}{4})](https://tex.z-dn.net/?f=%28-%5Cfrac%7B1%7D%7B3%7D%29%28-%5Cfrac%7B1%7D%7B4%7D%29-%28-%5Cfrac%7B2%5Csqrt%7B2%7D%7D%7B3%7D%29%28-%5Cfrac%7B%5Csqrt%7B15%7D%7D%7B4%7D%29)
= ![\frac{1}{12}-\frac{\sqrt{120}}{12}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B12%7D-%5Cfrac%7B%5Csqrt%7B120%7D%7D%7B12%7D)
= ![\frac{1}{12}(1-\sqrt{120})](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B12%7D%281-%5Csqrt%7B120%7D%29)
= ![\frac{1}{12}(1-2\sqrt{30})](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B12%7D%281-2%5Csqrt%7B30%7D%29)
Therefore, cos(a + b) = ![\frac{1}{12}(1-2\sqrt{30})](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B12%7D%281-2%5Csqrt%7B30%7D%29)
Under box 36x + 9, Drag the following:
A.) 9(4x + 1)
D.) (9 . 4x) + (9 . 1)
Under box 9(4x - 1), Drag the following:
B.) (3 . 12x) - (3 . 3)
C.) 36x - 9
Under box (4 . 9x) + (4 . 2), Drag the following:
E.) 4(9x + 2)
F.) 36x + 8
Hope this helps!
Answer:
Step-by-step explanation:
933 + the cost <=1500
933+ c <=1500