sin α = opposite leg/ hypotenuse
For ΔABC,
sin A = |BC|/|AB|
sin A = 12/37
Answer:
34.5 units
Step-by-step explanation:
Divide the composite figure into different shapes and then find the areas of all the shapes and add them together to find the total area. We could divide this into 3 triangles and 1 rectangle.
Answer:
C
Step-by-step explanation:
Hello! First insert 6 where the h is located. So we have an equation that looks like the following.
Although you could leave the equation in its original form, I am going to switch it around.![6 = 2 - 18t + 16t^2](https://tex.z-dn.net/?f=6%20%3D%202%20-%2018t%20%2B%2016t%5E2)
Move the 6 to the other side and do the math![16t^2 - 18t + 2 - 6 = 6 - 6](https://tex.z-dn.net/?f=16t%5E2%20-%2018t%20%2B%202%20-%206%20%3D%206%20-%206)
Factor and after factoring your T will be as followst =
![\frac{9}{16} - \frac{\sqrt{145}}{16}](https://tex.z-dn.net/?f=%5Cfrac%7B9%7D%7B16%7D%20-%20%5Cfrac%7B%5Csqrt%7B145%7D%7D%7B16%7D)
= -0.1900
t =
![\frac{9}{16} + \frac{\sqrt{145}}{16}](https://tex.z-dn.net/?f=%5Cfrac%7B9%7D%7B16%7D%20%2B%20%5Cfrac%7B%5Csqrt%7B145%7D%7D%7B16%7D)
= 1.315
Answer:
![\large\boxed{x\geq-2\to x\in[-2,\ \infty)}](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7Bx%5Cgeq-2%5Cto%20x%5Cin%5B-2%2C%5C%20%5Cinfty%29%7D)
Step-by-step explanation:
![2(3x-1)\geq4x-6\qquad\text{use distributive property}\ a(b-c)=ab-ac\\\\(2)(3x)-(2)(1)\geq4x-6\\\\6x-2\geq4x-6\qquad\text{add 2 to both sides}\\\\6x\geq4x-4\qquad\text{subtract 4x from both sides}\\\\2x\geq-4\qquad\text{divide both sides by 2}\\\\x\geq-2](https://tex.z-dn.net/?f=2%283x-1%29%5Cgeq4x-6%5Cqquad%5Ctext%7Buse%20distributive%20property%7D%5C%20a%28b-c%29%3Dab-ac%5C%5C%5C%5C%282%29%283x%29-%282%29%281%29%5Cgeq4x-6%5C%5C%5C%5C6x-2%5Cgeq4x-6%5Cqquad%5Ctext%7Badd%202%20to%20both%20sides%7D%5C%5C%5C%5C6x%5Cgeq4x-4%5Cqquad%5Ctext%7Bsubtract%204x%20from%20both%20sides%7D%5C%5C%5C%5C2x%5Cgeq-4%5Cqquad%5Ctext%7Bdivide%20both%20sides%20by%202%7D%5C%5C%5C%5Cx%5Cgeq-2)