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kirill [66]
4 years ago
14

Simplify 3 square root of 125

Mathematics
1 answer:
RSB [31]4 years ago
6 0
We have:

3 \sqrt{125}
3 \sqrt{25*5}
15 \sqrt{5}

As 5 has no perfect square factors, we have completely simplified this expression.
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An oil tank has to be drained for maintenance. The tank is shaped like a cylinder that is 4 ft long with a diameter of 2.2 ft. S
gavmur [86]

Answer:

8\:\mathrm{minutes}

Step-by-step explanation:

The volume of a cylinder is given as:

r^2\cdot\pi\cdot h

Since the diameter is 2.2, the radius is \frac{2.2}{2}=1.1.

Therefore, the volume of this cylinder is:

1.1^2\cdot 3.14\cdot 4=15.1976\:\mathrm{ft^3}, using \pi=3.14 as requested in the problem.

Since the tank is emptied at a constant rate of 1.5\:\mathrm{ft^3\:per\:minute}, it will take

\frac{15.1976}{1.5}=7.5988=\fbox{$8\:\mathrm{minutes}$} to empty the tank.

8 0
3 years ago
Which relationship describes angles 1 and 2? Select each correct answer. A adjacent angles B complementary angles C vertical ang
Scrat [10]
The correct answer for this question is this one:
<span>- A adjacent angles
-D supplementary angles

The relationship that describes angle 1 and angle 2 is that they are adjacent angles -- at the same time they are also supplementary angles.</span>
Hope this helps answer your question and have a nice day ahead.
3 0
3 years ago
Read 2 more answers
Please help me as soon as possible
garik1379 [7]
Do u know the area of a circle
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8 0
3 years ago
A man who is 6 feet tall casts a shadow that is 11 feet long. At the same time, a tree casts a shadow that is 33 feet long. What
Rina8888 [55]

Set up a proportion:

6 feet over 11 feet long equals x feet over 33 feet long

6/11 = x/33

198 = 11x

x = 18

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8 0
3 years ago
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What is the explicit rule for the sequence? −3, 0,3,6,9,... Enter your answer in the box.
PtichkaEL [24]

Answer:

  • aₙ = 3n - 6

Step-by-step explanation:

<u>Given sequence:</u>

  • −3, 0,3,6,9,...

<u>This is AP with:</u>

  • The first tern a₁ = - 3
  • Common difference d = 3

<u>The rule for the nth term of the sequence is:</u>

  • aₙ = a₁ + (n - 1)d

<u>Substitute values:</u>

  • aₙ = -3 + (n - 1)(3) =
  •       -3 + 3n - 3 =
  •        3n - 6

3 0
3 years ago
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