Solution:
Outfit Shirt Slacks Tie
Outfit 1 Blue Black Red
Outfit 2 Blue Grey Red
Outfit 3 White Black Red
Outfit 4 White Grey Red
Outfit 5 Black Black Red
Outfit 6 Black Grey Red
We take the outfits 1, 2 , 5 and 6 as a subset of the sample space.
So these 1, 2, 5 and 6 consists either a blue shirt or a black shirt.
The subset consists of all the outfits that do not have a white shirt.
So the correct options are :
1. (Choice A)
The subset consists of all the outfits that do not have a white shirt.
2. (Choice C)
The subset consists of all the outfits that have a black shirt.
<u>Answer-</u>
![\boxed{\boxed{\text{Mass}=10.0447256\ ton}}](https://tex.z-dn.net/?f=%5Cboxed%7B%5Cboxed%7B%5Ctext%7BMass%7D%3D10.0447256%5C%20ton%7D%7D)
<u>Solution-</u>
The dimensions of the cuboid is, 80×80×140 cm
So, its volume will be
cm³
The dimensions of the cylinder is, radius = 40cm, height = 70cm
So, its volume will be
cm³
Total volume,
![V=V_{\text{Cylinder}}+V_{\text{Cuboid}}\\\\=351792+896000\\\\=1247792\ cm^3](https://tex.z-dn.net/?f=V%3DV_%7B%5Ctext%7BCylinder%7D%7D%2BV_%7B%5Ctext%7BCuboid%7D%7D%5C%5C%5C%5C%3D351792%2B896000%5C%5C%5C%5C%3D1247792%5C%20cm%5E3)
As we know,
![\Rightarrow \text{Density}=\dfrac{\text{Mass}}{\text{Volume}}](https://tex.z-dn.net/?f=%5CRightarrow%20%5Ctext%7BDensity%7D%3D%5Cdfrac%7B%5Ctext%7BMass%7D%7D%7B%5Ctext%7BVolume%7D%7D)
![\Rightarrow \text{Mass}=\text{Density}\times \text{Volume}](https://tex.z-dn.net/?f=%5CRightarrow%20%5Ctext%7BMass%7D%3D%5Ctext%7BDensity%7D%5Ctimes%20%5Ctext%7BVolume%7D)
![\Rightarrow \text{Mass}=8.05\times 1247792=10044725.6\ g](https://tex.z-dn.net/?f=%5CRightarrow%20%5Ctext%7BMass%7D%3D8.05%5Ctimes%201247792%3D10044725.6%5C%20g)
![\Rightarrow \text{Mass}=10044725.6\times 10^{-6}=10.0447256\ ton](https://tex.z-dn.net/?f=%5CRightarrow%20%5Ctext%7BMass%7D%3D10044725.6%5Ctimes%2010%5E%7B-6%7D%3D10.0447256%5C%20ton)
Answer:
2010
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
3 x 4
3 is how far the shape goes to the left.
4 is how far it goes to the bottom
you multiply the two numbers to cover the area
Answer:
![\displaystyle m\angle AED=32.5^\circ](https://tex.z-dn.net/?f=%5Cdisplaystyle%20m%5Cangle%20AED%3D32.5%5E%5Ccirc)
Step-by-step explanation:
<u>Angles in a Circle</u>
An exterior angle of a circle is an angle whose vertex is outside a circle and the sides of the angle are secants or tangents of the circle.
Segments AE and DE are secants of the given circle. They form an exterior angle called AED.
The measure of an exterior angle is equal to half the difference of the measure of their intercepted arcs.
Intercepted arcs in the given circle are AD=113° and BC=48°. The exterior angle is:
![\displaystyle m\angle AED=\frac{AD-BC}{2}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20m%5Cangle%20AED%3D%5Cfrac%7BAD-BC%7D%7B2%7D)
![\displaystyle m\angle AED=\frac{113^\circ-48^\circ}{2}=\frac{65^\circ}{2}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20m%5Cangle%20AED%3D%5Cfrac%7B113%5E%5Ccirc-48%5E%5Ccirc%7D%7B2%7D%3D%5Cfrac%7B65%5E%5Ccirc%7D%7B2%7D)
![\displaystyle m\angle AED=32.5^\circ](https://tex.z-dn.net/?f=%5Cdisplaystyle%20m%5Cangle%20AED%3D32.5%5E%5Ccirc)