12x > 9(2x-3) -21
12x > 18x - 27 - 21
12x > 18x - 48 (add 48 and subtract 12x in both sides)
48 > 6x
8 > x the end.
Multiply the bracket by 5
10x+25= 4x-7
10x-4x+25= 4x-4x-7
6x+25= -7
6x+25-25= -7-25
6x= -32
Divide by 6 for 6x and -32
6x/6= -32/6
x= -32/6
divide by 2 for -32/6
x= -16/3
Answer is -16/3 ( improper fraction) or -5 1/3 ( mixed number)
Answer:
For the first question, 180 degrees equals to a half of the sphere. For the second question, you need 24 central meridians for a complete sphere, which are exactly the hours in a day.
Step-by-step explanation:
A sphere is basically a 3D circle. As a circle has 360 degrees, 180 degrees would be half of a circle. Imagine you are on a satellite over the north pole or the south pole and you have a way to cut the earth by the middle. You will get two halves of sphere.
About the second question, you may need to have in mind that a day is the time spent for the earth to rotate all 360 degrees over its own axis. British fellow, on XIX century, decided they were the center of the world. As previously, back in the days, some other people decided a day had 24 hours, they decided to draw this lines and divide the earth in 24 pieces, so they could knew which time was on every point their extense kingdom had. As I said, a circle has 360 degrees, (360 degrees)/(24 hours) equals to 15 degrees.
Answer:
length =29m width =11m
Step-by-step explanation:
length---L
width -----W
L=3W-4
area=319sqm
area of rectangle=L × W
area of rectangle =W ×(3W - 4)=319
expanding...
3W^2 - 4W=319
3W^2 - 4W -319=0
factorize
(W-11)(3W+29)=0
W=11 or -29/3
using the positive because the negative width with a minus sign does not make sense in real life, we use 11m
width =11m
length 3W -4=3(11) -4 =29m
The answer should be A
original volume = Area x Height
If the the height was increased by a factor of 3,
Volume = Area x (Height x 3)
Which ultimately still means
Volume = (Area x Height) x 3
Which gives you the answer
Volume = (original volume) x 3
That's why the answer is A as the volume increased by a factor of 3
