Answer:
14.8cm
Step-by-step explanation:
d = l^2+w^2+h^2 = 14^2+3^2+4^2≈14.86607cm
Answer:
3:15PM
Step-by-step explanation:
If If Diana got out of school at 1:40 P.M, this and spent 1 hour 35 minutes at the rehearsal, to know the time that the choir rehearsal ends, we will have to add the time spent at rehearsal to the time he got out of school;
1:40 P.M + (1hr 35 minutes)
1:40 P.M + 1 hr = 2:40PM
2:40PM + 35mintes = <u>2:40PM + (20mintes) +15 minutes</u>
[2:40PM + (20mintes)] +15 minutes = 3:00pm + 15 minutes
3:00pm + 15 minutes = 3:15PM
Hence the choir rehearsal ends at 3:15PM
Answer:
<em>The correct option is: C) 4x(3y + 7z)</em>
Step-by-step explanation:
Given expression is: ![12xy+28xz](https://tex.z-dn.net/?f=12xy%2B28xz)
First we need to find the GCF(Greatest common factor) of
and
and then we will factor out that GCF.
![12xy \Rightarrow 2\times 2\times 3\times x\times y\\ \\ 28xz\Rightarrow 2\times 2\times 7\times x\times z](https://tex.z-dn.net/?f=12xy%20%5CRightarrow%202%5Ctimes%202%5Ctimes%203%5Ctimes%20x%5Ctimes%20y%5C%5C%20%5C%5C%2028xz%5CRightarrow%202%5Ctimes%202%5Ctimes%207%5Ctimes%20x%5Ctimes%20z)
We can see that the common factors are: ![2,2, x](https://tex.z-dn.net/?f=2%2C2%2C%20x)
So, the GCF will be: ![2\times 2\times x= 4x](https://tex.z-dn.net/?f=2%5Ctimes%202%5Ctimes%20x%3D%204x)
Now factoring out
from the given expression, we will get.....
![12xy+28xz\\ \\ = 4x(\frac{12xy}{4x}+ \frac{28xz}{4x}) \\ \\ =4x(3y+7z)](https://tex.z-dn.net/?f=12xy%2B28xz%5C%5C%20%5C%5C%20%3D%204x%28%5Cfrac%7B12xy%7D%7B4x%7D%2B%20%5Cfrac%7B28xz%7D%7B4x%7D%29%20%5C%5C%20%5C%5C%20%3D4x%283y%2B7z%29)
So, the complete factorization will be: ![4x(3y+7z)](https://tex.z-dn.net/?f=4x%283y%2B7z%29)
Can't understand the sentence where it says "<span>From the ground, Todd's used to plane moving directly toward him from the West at a 49 degree angle of elevation". Help me interpret it.</span>
Answer: J = 14.4 cm
Step-by-step explanation:
<em>K is similar to G</em>
So we can find the scale that FHG was dilated by dividing the side length of G by the side length of K
16.56/9.2 = 1.8
So the sides of the triangle KMJ were multiplied by a factor of 1.8
to find m :
25.92/1.8 = 14.4
J = 14.4