Answer:
Length of diagonal line from 1 to 2 =17.3 cm
Mass= 124.57 grams =0.12457 kg
Weight=1.22 Newton
Step-by-step explanation:
Sides of cube = s=10cm
First take the bottom of cube we can get right angle triangle
And using Pythagoras theorem
![10^{2} +10^{2} =x^{2}](https://tex.z-dn.net/?f=10%5E%7B2%7D%20%2B10%5E%7B2%7D%20%3Dx%5E%7B2%7D)
By solving![X=10.\sqrt{2}](https://tex.z-dn.net/?f=X%3D10.%5Csqrt%7B2%7D)
Now taking the triangle formed between point 1 and 2 we get
![10^{2} +(10.\sqrt{2} )^{2} =y^{2}](https://tex.z-dn.net/?f=10%5E%7B2%7D%20%2B%2810.%5Csqrt%7B2%7D%20%29%5E%7B2%7D%20%3Dy%5E%7B2%7D)
=17.3
Density=2.1 gram per cubic inch
Density = mass/volume
As sides=10 cm=3.9 inch
Volume of cube =
=59.3 cubic inch
Mass=Density X Volume
Mass= 2.1 X 59.3=124.57 grams =0.12457 kg
Weight = mass X g
As ![g=9.8 m/s^{2}](https://tex.z-dn.net/?f=g%3D9.8%20m%2Fs%5E%7B2%7D)
Weight = 0.12457 X 9.8 =1.22 Newton
Answer:
d
Step-by-step explanation:
the corresponding angles are described by 2 parallel lines and a line that cross them all
Answer: the sum is always positive
Answer:
See below
Step-by-step explanation:
<u>Convert equation to vertex form </u>
<u> by completing the square:</u>
![y=x^2+2x-4](https://tex.z-dn.net/?f=y%3Dx%5E2%2B2x-4)
![y+5=x^2+2x-4+5](https://tex.z-dn.net/?f=y%2B5%3Dx%5E2%2B2x-4%2B5)
![y+5=x^2+2x+1](https://tex.z-dn.net/?f=y%2B5%3Dx%5E2%2B2x%2B1)
![y+5=(x+1)^2](https://tex.z-dn.net/?f=y%2B5%3D%28x%2B1%29%5E2)
![y=(x+1)^2-5](https://tex.z-dn.net/?f=y%3D%28x%2B1%29%5E2-5)
<u>Vertex:</u>
<u />
<u />
<u>Directrix:</u>
<u />
<u />
<u />
1. EQUAL TO
2. LESS THAN
Hope this helps!! :)