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vova2212 [387]
3 years ago
8

The total surface area of a cube is 1350sqcm find volume?​

Mathematics
1 answer:
elena55 [62]3 years ago
8 0

Answer:

Step-by-step explanation:

There are 6 square faces to a cube, so each square has area 1350/6 = 225sqcm

The area of a square = length^2 where length is any side's length (they are all the same)

√225 = 15cm length

This makes the cube have volume 15^3 = 3375 cubic cm

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Fill in the table using this function rule.<br> y = 10x-3<br> X<br> -<br> 0
dexar [7]

Answer:

Step-by-step explanation:

<em>y</em> = 10(- 1) - 3 = <em>- 13</em>

<em>y</em> = 10(0) - 3 = <em>- 3 </em>

<em>y</em> = 10(1)  - 3 =<em> 7 </em>

<em>y</em> = 10(5) - 3 = <em>47</em>

5 0
3 years ago
If it takes 6 hours for a plane to travel 720km with a tail wind and 8 hours to make the return trip with a head wind. Find the
denis-greek [22]

The speed of wind and plane are 105 kmph and 15 kmph respectively.

<u>Solution:</u>

Given, it takes 6 hours for a plane to travel 720 km with a tail wind and 8 hours to make the return trip with a head wind.  

We have to find the air speed of the plane and speed of the wind.

Now, let the speed wind be "a" and speed of aeroplane be "b"

And, we know that, distance = speed x time.

\text { Now, at tail wind } \rightarrow 720=(a+b) \times 6 \rightarrow a+b=\frac{720}{6} \rightarrow a+b=120 \rightarrow(1)

Now at head wind → 720=(a-b) \times 8 \rightarrow a-b=\frac{720}{8} \rightarrow a-b=90 \rightarrow(2)

So, solve (1) and (2) by addition

2a = 210

a = 105

substitute a value in (1) ⇒ 105 + b = 120

⇒ b = 120 – 105 ⇒ b = 15.

Here, relative speed of plane during tail wind is 120 kmph and during head wind is 90 kmph.

Hence, speed of wind and plane are 105 kmph and 15 kmph respectively.

6 0
3 years ago
The annual tuition at a specific college was $20,500 in 2000, and $45,4120
nika2105 [10]

Answer: the tuition in 2020 is $502300

Step-by-step explanation:

The annual tuition at a specific college was $20,500 in 2000, and $45,4120 in 2018. Let us assume that the rate of increase is linear. Therefore, the fees in increasing in an arithmetic progression.

The formula for determining the nth term of an arithmetic sequence is expressed as

Tn = a + (n - 1)d

Where

a represents the first term of the sequence.

d represents the common difference.

n represents the number of terms in the sequence.

From the information given,

a = $20500

The fee in 2018 is the 19th term of the sequence. Therefore,

T19 = $45,4120

n = 19

Therefore,

454120 = 20500 + (19 - 1) d

454120 - 20500 = 19d

18d = 433620

d = 24090

Therefore, an

equation that can be used to find the tuition y for x years after 2000 is

y = 20500 + 24090(x - 1)

Therefore, at 2020,

n = 21

y = 20500 + 24090(21 - 1)

y = 20500 + 481800

y = $502300

6 0
3 years ago
A person is watching a boat from the top of a lighthouse. The boat is approaching
Lapatulllka [165]

9514 1404 393

Answer:

  445.10 feet

Step-by-step explanation:

The relation between angle of depression and distance to the boat is ...

  Tan = Opposite/Adjacent

  tan(angle of depression) = (200 ft)/(distance to boat)

Then the distance to the boat is ...

  distance to boat = (200 ft)/tan(angle of depression)

__

We want the change in distance between the two angles, so ...

  change in distance = (200 ft)/tan(17°31') -(200 ft)/tan(46°41')

  = (200 ft)(cot(17°31') -cot(46°41'))

  change in distance ≈ 445.10 ft

7 0
3 years ago
Yasmine bought 6 gallons of apple juice. After filling up 4 bottles of the same size with apple juice, she had 0.3 gallon of app
never [62]

1.425 gallons of apple juice are in one container

I got this because if she starts with 6 gallons and she’s left with 0.3 gallons, you would need to subtract 6 by 0.3 (6-0.3=5.7). So now you know how much is in 4 bottles. Now you need divide 5.7 by 4 to find out how much is in each container (which is 1.425).

3 0
3 years ago
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