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zavuch27 [327]
3 years ago
8

Solve for a. 3a-12=3

Mathematics
1 answer:
IrinaK [193]3 years ago
8 0

3a=15

a=5

hope it helps you!!!!!!

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A point at (−1, 10) is rotated 90°counterclockwise about the origin. What are the coordinates of the resulting image?
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Is {(15,6), (12,5), (14, 6), (16,7), (15,5) a function
Artyom0805 [142]

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Plz help ASAP with explanation
Aleksandr-060686 [28]

Answer:

The height of the tank in the picture is:

  • <u>19.5 cm</u>

Step-by-step explanation:

First, to know the height of the tank, we're gonna change the unit of the volume given in liters to cm^3:

  • <em>1 liter = 1000 cm^3</em>

So:

  • <em>1.2 liters = 1200 cm^3</em>

Now, we must calculate the height of the tank that we don't know (the other part that isn't with water), to this, we can use the volume formula clearing the height:

  • Volume of a cube = long * wide * height

Now, we must clear the height because we know the volume (1200 cm^3):

Height = volume of a cube / (long * wide)

And we replace:

  • Height = 1200 cm^3 / (12 cm * 8 cm)
  • Height = 1200 cm^3 / (96 cm^2)
  • Height = 12.5 cm

Remember this is the height of the empty zone, by this reason, to obtain the height of the whole tank, we must add the height of the zone with water (7 cm) that the exercise give us:

  • Heigth of the tank = Height empty zone + height zone with water
  • Heigth of the tank = 12.5 cm + 7 cm
  • <u>Heigth of the tank = 19.5 cm</u>

In this form, <u>we calculate the height of the tank in 19.5 cm</u>.

6 0
3 years ago
If a fair coin is tossed three​ times, find the probability of getting heads on the first toss and tails on the second and third
poizon [28]

Answer:

The answer is: \frac{1}{8}

Step-by-step explanation:

The sample space when tossing a coin three times is [HHH, HHT, HTH, HTT, THH, THT, TTH, TTT]  and the total number of occurrence is 8.

Getting Head on first toss, tail on second and third is: HTT and it occurs just once in our sample space.

Therefore, the probability of getting Head on first toss, tails on second and third tosses is: \frac{1}{8}

Note probability = \frac{number of possible occurrence}{number of total occurrence}

8 0
4 years ago
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