Answer: ![x=11.47](https://tex.z-dn.net/?f=x%3D11.47)
Step-by-step explanation:
Given the angle of 55 degrees, you know that the adjacent side is "x" and the length of the hypotenuse is 20.
Therefore, you need to remember the following identity:
![cos\alpha=\frac{adjacent}{hypotenuse}](https://tex.z-dn.net/?f=cos%5Calpha%3D%5Cfrac%7Badjacent%7D%7Bhypotenuse%7D)
Then, knowing that:
![\alpha=55\°\\adjacent=x\\hypotenuse=20](https://tex.z-dn.net/?f=%5Calpha%3D55%5C%C2%B0%5C%5Cadjacent%3Dx%5C%5Chypotenuse%3D20)
You need to substitute these values into
:
![cos(55\°)=\frac{x}{20}](https://tex.z-dn.net/?f=cos%2855%5C%C2%B0%29%3D%5Cfrac%7Bx%7D%7B20%7D)
Now, you can solve for "x":
![20*cos(55\°)=x\\x=11.471](https://tex.z-dn.net/?f=20%2Acos%2855%5C%C2%B0%29%3Dx%5C%5Cx%3D11.471)
Rounded to the nearest hundreth:
![x=11.47](https://tex.z-dn.net/?f=x%3D11.47)
Answer:
11 tshirts would cost £106.15
Step-by-step explanation:
67.55 divided by 7 = 9.65
9.65 x 11 = 106.15
Therefore the total would be £106.15.
-6 + x = -7
+6 +6 add 6 to both sides, 6's cancel out on the left.
________
x = -1, is the answer.
Hope this helps! Let me know if you have any other questions related to this problem. :)
Answer:
![y=2.5*10^9(0.005^{12 0}) \\\\](https://tex.z-dn.net/?f=y%3D2.5%2A10%5E9%280.005%5E%7B12%200%7D%29%20%5C%5C%5C%5C)
Step-by-step explanation:
The above question is in the form of an exponential decay. The equation for an exponential decay is given by:
![y=ab^x](https://tex.z-dn.net/?f=y%3Dab%5Ex)
where y and x are variables, b < 1, a is the initial value of y (that is the value of y when x = 0).
Let y represent the number of trees left and x represent the number of months. Given that there is currently 2.5 billion trees, therefore a = 2.5 * 10⁹, b = 0.5% = 0.005. The equations becomes:
![y=2.5*10^9(0.005^x)\\\\After\ ten\ years(x=10*12\ months=120\ months):\\\\y=2.5*10^9(0.005^{12 0}) \\\\](https://tex.z-dn.net/?f=y%3D2.5%2A10%5E9%280.005%5Ex%29%5C%5C%5C%5CAfter%5C%20ten%5C%20years%28x%3D10%2A12%5C%20months%3D120%5C%20months%29%3A%5C%5C%5C%5Cy%3D2.5%2A10%5E9%280.005%5E%7B12%200%7D%29%20%5C%5C%5C%5C)
Answer:
(k): 65k=c is true per kilometer he runs,
Step-by-step explanation:
(k): 65k=c is true if Yutaka was to walk and burn only 48 calories then k then is x= walk and y = run 8x+7y>= c 8x+7y>= 8(48) + 7(65) >= 839