To work out what the other side is that you times 12 to get to 24 you would do: 24 divided by 12 equals 2 therefore you would do 12 times 2 to get 24
Step-by-step explanation:
4/sin45=
![4 \sqrt{2}](https://tex.z-dn.net/?f=4%20%5Csqrt%7B2%7D%20)
Answer:
Density of steel = 80.73 gm/![cm^3](https://tex.z-dn.net/?f=cm%5E3)
Step-by-step explanation:
The figure is made up of cuboid and square pyramid.
Height of cuboid, h = 9 cm
Length of cuboid, l = 6 cm
Width of cuboid, w = 6 cm
Volume of cuboid is given by the formula:
![V_{Cuboid} = l \times w \times h](https://tex.z-dn.net/?f=V_%7BCuboid%7D%20%3D%20l%20%5Ctimes%20w%20%5Ctimes%20h)
![V_{Cuboid} = 6 \times 6 \times 9\\\Rightarrow V_{Cuboid} = 324\ cm^3](https://tex.z-dn.net/?f=V_%7BCuboid%7D%20%3D%206%20%5Ctimes%206%20%5Ctimes%209%5C%5C%5CRightarrow%20V_%7BCuboid%7D%20%3D%20324%5C%20cm%5E3)
Density of Wood ,
= 0.68g/![cm^3](https://tex.z-dn.net/?f=cm%5E3)
We know that formula of Density is:
![Density = \dfrac{Weight}{Volume}](https://tex.z-dn.net/?f=Density%20%3D%20%5Cdfrac%7BWeight%7D%7BVolume%7D)
![D_{Cuboid} = \dfrac{W_{Cuboid}}{V_{Cuboid}}\\\Rightarrow W_{Cuboid} = V_{Cuboid} \times D_{Cuboid}](https://tex.z-dn.net/?f=D_%7BCuboid%7D%20%3D%20%5Cdfrac%7BW_%7BCuboid%7D%7D%7BV_%7BCuboid%7D%7D%5C%5C%5CRightarrow%20W_%7BCuboid%7D%20%3D%20V_%7BCuboid%7D%20%5Ctimes%20D_%7BCuboid%7D)
Putting the values:
![W_{Cuboid} = 324 \times 0.68 = 220.32\ gm](https://tex.z-dn.net/?f=W_%7BCuboid%7D%20%3D%20324%20%5Ctimes%200.68%20%3D%20220.32%5C%20gm)
Total weight = ![W_{Cuboid} + W_{Pyramid}](https://tex.z-dn.net/?f=W_%7BCuboid%7D%20%2B%20W_%7BPyramid%7D)
970 = 220.32 ![+ W_{Pyramid}](https://tex.z-dn.net/?f=%2B%20W_%7BPyramid%7D)
= 749.68 gm
Volume of pyramid is given as:
![V_{Pyramid}= \dfrac{1}{3} \times \text{Area of Base} \times \text{Vertical Height}](https://tex.z-dn.net/?f=V_%7BPyramid%7D%3D%20%5Cdfrac%7B1%7D%7B3%7D%20%5Ctimes%20%5Ctext%7BArea%20of%20Base%7D%20%5Ctimes%20%5Ctext%7BVertical%20Height%7D)
Base is a square with side 6 cm
![V_{Pyramid}= \dfrac{1}{3} \times 6 \times 6 \times (17 -9)\\V_{Pyramid}= 96\ cm^3](https://tex.z-dn.net/?f=V_%7BPyramid%7D%3D%20%5Cdfrac%7B1%7D%7B3%7D%20%5Ctimes%206%20%5Ctimes%206%20%5Ctimes%20%2817%20-9%29%5C%5CV_%7BPyramid%7D%3D%2096%5C%20cm%5E3)
Density of Steel/Pyramid:
![D_{Pyramid} = \dfrac{W_{Pyramid}}{V_{Pyramid}}\\\Rightarrow D_{Pyramid} = \dfrac{749.68}{96}\\\Rightarrow D_{Pyramid} = 80.73\ gm/cm^3](https://tex.z-dn.net/?f=D_%7BPyramid%7D%20%3D%20%5Cdfrac%7BW_%7BPyramid%7D%7D%7BV_%7BPyramid%7D%7D%5C%5C%5CRightarrow%20D_%7BPyramid%7D%20%3D%20%5Cdfrac%7B749.68%7D%7B96%7D%5C%5C%5CRightarrow%20D_%7BPyramid%7D%20%3D%2080.73%5C%20gm%2Fcm%5E3)
Answer:
D
Step-by-step explanation:
a local minimum is a low point in the graph, but it isn't the lowest. and If u look at the given interval choices, the only one that has a local minimum Is D.
Answer:
![y\in (-\infty ,5]](https://tex.z-dn.net/?f=y%5Cin%20%28-%5Cinfty%20%2C5%5D)
Step-by-step explanation:
In this problem, we need to write "Twenty times y is at most 100 in interval notation
".
20 times y means, 20y
Atmost means an inequality which is ![\le](https://tex.z-dn.net/?f=%5Cle)
ATQ,
![20\times y\le 100](https://tex.z-dn.net/?f=20%5Ctimes%20y%5Cle%20100)
i.e.
![20y\le 100\\\\y\le 5](https://tex.z-dn.net/?f=20y%5Cle%20100%5C%5C%5C%5Cy%5Cle%205)
We can also write it as :
![y\in (-\infty ,5]](https://tex.z-dn.net/?f=y%5Cin%20%28-%5Cinfty%20%2C5%5D)
Hence, the required interval notation is
.