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Pavel [41]
3 years ago
15

1.485 x 106 and 4.95 x 102

Mathematics
1 answer:
harina [27]3 years ago
4 0

Answer:

ফিফজ্চভিভিভিভিডিডিএফ

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The diagram shows an empty cylindrical container. Ana puts a solid cube of side length 8 cm into the container. She then pours 1
marshall27 [118]

Answer:

<h3><u>Cylinder</u></h3>

\textsf{Volume of a cylinder}=\sf \pi r^2 h \quad\textsf{(where r is the radius and h is the height)}

Given:

  • r = 6 cm
  • h = 18 cm

\begin{aligned}\implies \sf V &= \sf \pi (6)^2(18)\\& = \sf 648 \pi \: cm^3\end{aligned}

<h3><u>Cube</u></h3>

\textsf{Volume of a cube}=\sf x^3\quad\textsf{(where x is the side length)}

Given:

  • x = 8 cm

\begin{aligned}\implies \sf V &= 8^3\\& = \sf 512 \: cm^3\end{aligned}

<h3><u>Volume available to be filled with water</u></h3>

Volume of cylinder - volume of cube

= 684π - 512

= 1532.75204 cm³

    1 litre = 1000 cm³

⇒ 1.5 litres = 1000 × 1.5 = 1500 cm³

As 1500 < 1532.75204, the volume of water poured into the container is smaller than the empty space available in the cylinder.  Therefore, the water will <u>not</u> come over the top of the container.

4 0
2 years ago
Solve this system by substitution (3 variables) brainliest answer goes to first answer and 8 points!
Natalka [10]

Answer:Solve this system by substitution (3 variables) brainliest answer goes to first answer and 8 points!

-x -y -z = -8

-4x +4y +5z = 7

2x+2z=4

Show steps please!

Step-by-step explanation: a-z=3-2=657u568959jb5j656856 thats the answer your welcome

4 0
3 years ago
A bank manager wants to encourage new customers to open accounts with principals of at least $3,000. He decides to make a poster
ankoles [38]

Assuming that the 4.8% interest rate is an annual interest rate, then, after one year, with a principal of $3,000 we would be able to win 4.8% of $3000:

3000\times\frac{4.8}{100}=144

Divide 144 over 12 to find the monthly earnings:

\frac{144}{12}=12

Therefore, with a principal of $3,000 we would be earning $12 interest in 1 month.

For the earnings on the first month to be equal to $10, then you would have to win $120 annually, and $120 must be 4.8% of the principal. To find which quantity satisfies that 4.8% of it is equal to $120, divide 120 over 4.8%:

\frac{120}{4.8\text{ \%}}=\frac{120}{(4.8/100)}=\frac{100}{4.8}\times120=2500

Therefore, the principal must be equal to $2500 for you to win $10 on the first month, and it would indeed be correct to say that if you open an account with $3000 you will earn at least $10 interest in 1 month.

7 0
1 year ago
Simplify (-3/5) ÷ (7/6).<br><br> A. -7/10<br> B. -18/35<br> C. 18/35<br> D 7/10
docker41 [41]
The answer would be B. You would need to keep the first fraction, change to multiplication, and flip the second fraction and multiply across.

5 0
3 years ago
Evaluate: the product of 4 and 7*
weeeeeb [17]

Answer:

28

Step-by-step explanation:

4 x 7 = 28

Hope this helps you :)

4 0
3 years ago
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