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Rufina [12.5K]
3 years ago
7

Solve: |4x + 5| + 8 >(or equal to)45

Mathematics
1 answer:
KatRina [158]3 years ago
8 0
This is pretty simple once you get used to this


First set it equal to the original and the negative one
(>_) is the bigger and equal to part

4x+5>_45 or 4x+5>_-45

Then solve for x for both


4x>_40. 4x>_-50
X>_10 X>_-25/2
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A cone has a volume of 108 pi and a base diameter of 12. What is the height of the cone?
serious [3.7K]

Answer:

h  = 9 units of length

Step-by-step explanation:

Volume of a circular right cone is:

V(c)  = (1/3)*Area of the circular base * h

Where h is the height of the cone, then

V(c)  =  (1/3) * π * r² * h

And  we have that  V(c) = 108*π

Then:

108 * π  =  (1/3) * π * r² * h                  (1)

We know diameter of the circular base is 12 units, according to that

r =  d/2     ⇒  r = 12/2     r = 6 units

Then:

108 * π  [ cubic units ]  =  (1/3) * π * (6)² * h  [square units] [ units of length]

When simplifying we have to take into account that in order to keep last equation h needs to have units of length  

Therefore:

108  =  (1/3) * 36 * h

h = ( 108* 3 )/ 36

h  = 9 units of length

7 0
3 years ago
If i leave my house at 6:52 am and run 1 mile at an easy pace (8:15 per mile), then 3 miles at tempo (7:12 per mile) and 1 mile
FinnZ [79.3K]

Running 2 miles at 8:15 per mile takes 16:30 minutes.

Running 3 miles at 7:12 per mile takes 21:36 minutes.

The total running time is 16:30 + 21:36 = 38:06 minutes. That length of time after 6:52 am is 7:30:06 am.

You get home for breakfast at 6 seconds past 7:30 am.

8 0
3 years ago
Blaire needs more than 708 total points on assignments in her math class to pass. She only has 236 points and needs to do some e
blsea [12.9K]

Answer: D) x = 8


Step-by-step explanation: In order to get this answer, you need to keep the 236 and add 59 evry time until you get 708.

Another thing is to multiply 59 by 8, which will give you 472. Now we add 472 and 236 and we get 708.

59 x 8 = 472 + 236 = 708.

56 + 56 + 56 + 56 + 56 + 56 + 56 + 56 = 472 + 236 = 708.

Hope this helped!

Plz mark brainliest!

6 0
3 years ago
Read 2 more answers
Sarah flips a coin and spins a 4 section spinner. Which table shows the sample space?
vagabundo [1.1K]

Answer:

The first bullet

Step-by-step explanation:

it has heads with the colors & also the same for tails

4 0
3 years ago
Solve −2x2 +3x − 9 = 0
luda_lava [24]
-2x^2 + 3x - 9 = 0
The quadratic is not factorable so quadratic formula must be used.
x = (-b + - √(b^2 - 4ac))/2a
a = -2, b = 3, c = -9
x = (-3 + - √(9 - 4*-2*-9))/-4
x = (-3 + - √(-63))/-4
x = -3 + - 3i√7
     --------------
           -4
x = 3 + 3i√7            x = 3 - 3i√7
    ------------                ------------
         4                              4
8 0
3 years ago
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