Answer:
- Mass
- Surface area
- Volume
Step-by-step explanation:
The size of a surface. The amount of space inside the boundary of a flat (2-dimensional) object such as a triangle or circle, or surface of a solid (3-dimensional) object
<u>Mass </u>
A property of a physical body and a measure of its resistance to acceleration when a net force is applied.
<u>Surface </u>
The area is the sum of the areas of all faces (or surfaces) on a 3D shape. A cuboid has 6 rectangular faces. To find the surface area of a cuboid, add the areas of all 6 faces. We can also label the length (l), width (w), and height (h) of the prism and use the formula, SA=2lw+2lh+2hw, to find the surface area.
<u>Volume </u>
The Measure of the amount of space that a substance or an object takes up.
A percent is one of 100 equal parts.
hope this helps.
Answer:
The correct option is 4.
Step-by-step explanation:
It is given that 10 men and 12 women will be seated in a row of 22 chairs.
Total possible ways to arrange n terms is n!.
Similarly,
Total possible ways to place 22 people on 22 chairs = 22!
![\text{Total outcomes}=22!](https://tex.z-dn.net/?f=%5Ctext%7BTotal%20outcomes%7D%3D22%21)
It is given that all men will be seated side by side in 10 consecutive positions.
Total possible ways to place 10 people on 10 chairs = 10!
Let 10 men = 1 unit because all men will be seated side by side in 10 consecutive positions. 12 women = 12 units because women can any where.
Total number of units = 12 + 1 = 13.
Total possible ways to place 13 units = 13!
Total possible ways to place 10 men and 12 women, when all men will be seated side by side in 10 consecutive positions is
![\text{Favorable outcomes}=10!\cdot 13!](https://tex.z-dn.net/?f=%5Ctext%7BFavorable%20outcomes%7D%3D10%21%5Ccdot%2013%21)
The probability that all men will be seated side by side in 10 consecutive positions
![P=\frac{\text{Favorable outcomes}}{\text{Total outcomes}}=\frac{10!\cdot 13!}{22!}](https://tex.z-dn.net/?f=P%3D%5Cfrac%7B%5Ctext%7BFavorable%20outcomes%7D%7D%7B%5Ctext%7BTotal%20outcomes%7D%7D%3D%5Cfrac%7B10%21%5Ccdot%2013%21%7D%7B22%21%7D)
Therefore the correct option is 4.
Answer:
a = -0.5
b = −1.73
c = −0.70
d =
≈ -0.70710678
Step-by-step explanation:
EXPLAIN Q(a):
sin(−30)
Use the property sin(−x)=−sin(x).
−sin(30)
Get the value of sin(30) from trigonometric values table.
-0.5
Answer:
Step-by-step explanation:
![x - 10y = 18](https://tex.z-dn.net/?f=x%20-%2010y%20%3D%2018)
![-6x - 10y = 32](https://tex.z-dn.net/?f=-6x%20-%2010y%20%3D%2032)
Since both equations have
, we can subtract the second equation from the first to try and solve for
:
![(x - 10y) - (-6x - 10y) = 18 - 32](https://tex.z-dn.net/?f=%28x%20-%2010y%29%20-%20%28-6x%20-%2010y%29%20%3D%2018%20-%2032)
![x - 10y + 6x + 10y = -14](https://tex.z-dn.net/?f=x%20-%2010y%20%2B%206x%20%2B%2010y%20%3D%20-14)
![7x = -14](https://tex.z-dn.net/?f=7x%20%3D%20-14)
![x = -2](https://tex.z-dn.net/?f=x%20%3D%20-2)
With this, we can plug the value back into the first equation to solve for
:
![(-2) - 10y = 18](https://tex.z-dn.net/?f=%28-2%29%20-%2010y%20%3D%2018)
![-2 - 10y = 18](https://tex.z-dn.net/?f=-2%20-%2010y%20%3D%2018)
![-10y = 20](https://tex.z-dn.net/?f=-10y%20%3D%2020)
![y = -2](https://tex.z-dn.net/?f=y%20%3D%20-2)
Therefore, the solution is ![x = -2, y = -2](https://tex.z-dn.net/?f=x%20%3D%20-2%2C%20y%20%3D%20-2)