Answer:
14.94
Step-by-step explanation:
25/30 = 83.333
.30x83 = 24.9
.60 x 24.9 = 14.94
Given:
3.8 - 2.923
To find:
The subtraction.
Solution:
We have,
3.8 - 2.923
It can be written as
3.800 - 2.923
After subtraction, we get
3 . 8 0 0
-2 . 9 2 3
------------------
0 . 8 7 7
-----------------
So, 3.800 - 2.923 = 0.877.
Therefore, the value of 3.800 - 2.923 is 0.877.
Because it is a translation that means that the orientation of the shape doesn't change, it just moves (slides) so the answer would be C because in a translation the orientation does not change
Answer:k=42
Step-by-step explanation:
(5k−3)(9+k)
=(5k+−3)(9+k)
=(5k)(9)+(5k)(k)+(−3)(9)+(−3)(k)
=45k+5k2−27−3k
=5z2+42z−27
=42k
Answer:
![x =18.0](https://tex.z-dn.net/?f=x%20%3D18.0)
Step-by-step explanation:
To solve this problem use the Law of cosine.
The law of cosine says that:
![c^2 = a^2 + b^2 -2abcos(C)](https://tex.z-dn.net/?f=c%5E2%20%3D%20a%5E2%20%2B%20b%5E2%20-2abcos%28C%29)
In this case we have that:
![c = x\\\\a=30\\\\b=16\\\\C=30\°](https://tex.z-dn.net/?f=c%20%3D%20x%5C%5C%5C%5Ca%3D30%5C%5C%5C%5Cb%3D16%5C%5C%5C%5CC%3D30%5C%C2%B0)
Therefore
![x^2 = 30^2 + 16^2 -2(30)(16)cos(30\°)](https://tex.z-dn.net/?f=x%5E2%20%3D%2030%5E2%20%2B%2016%5E2%20-2%2830%29%2816%29cos%2830%5C%C2%B0%29)
![x = \sqrt{30^2 + 16^2 -2(30)(16)cos(30\°)}](https://tex.z-dn.net/?f=x%20%3D%20%5Csqrt%7B30%5E2%20%2B%2016%5E2%20-2%2830%29%2816%29cos%2830%5C%C2%B0%29%7D)
![x = \sqrt{1156 -831.38}](https://tex.z-dn.net/?f=x%20%3D%20%5Csqrt%7B1156%20-831.38%7D)
![x = \sqrt{324.62}](https://tex.z-dn.net/?f=x%20%3D%20%5Csqrt%7B324.62%7D)
![x =18.0](https://tex.z-dn.net/?f=x%20%3D18.0)