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Hitman42 [59]
3 years ago
15

If water flows into a rectangular tank at the rate of 6 cubic feet per minute, how long will

Mathematics
2 answers:
anyanavicka [17]3 years ago
8 0
The volume of a rectuangular prism is length×width×height

in this case, the volume will be 18×32×27 = 15,552 cubic inches.

water flows in by cubic feet, so we'll need to either transformthe volume of the tank to feet, or the volume of water flow to inches. in this case, it will make our life easier if we turn the tank valume into feet. 15,552 inches is exactly 1296 feet. 

water flows in 6 cubic feet per minute, so we calculate that 1,296 ÷ 6 = 216

water will be flowing in for 3 hours and 36 minutes thusly.
tresset_1 [31]3 years ago
3 0
V=lwh for a rectangle
18*32*27=v
v=15,552in^3
15,552/12=1296ft^3 converts feet to inches
6*6*6=216ft^3 this is how much is filled up in a minute
1296/216=6 minutes.
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JK and LM are straight lines. Find /NOK.<br> ( help me pls)<br>​
VashaNatasha [74]

Answer:

NOK = 58

Step-by-step explanation:

Given

JOM = 108

LON = 50

Required

Find NOK

From the attached triangle, we have:

LOK = JOM =108 --- Corresponding angles

And

LOK = LON + NOK

Substitute for LOK and LON

108= 50+ NOK

Make NOK the subject

NOK = 108 - 50

NOK = 58

8 0
3 years ago
The diameter of a circle measures 28 mm. What is the circumference of the circle?
Papessa [141]

Answer:

C = 87.92 mm

General Formulas and Concepts:

<u>Symbols</u>

  • π (pi) ≈ 3.14

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right<u> </u>

<u>Geometry</u>

Circumference Formula: C = πd

  • <em>C</em> is circumference
  • <em>d</em> is diameter

Step-by-step explanation:

<u>Step 1: Define</u>

Diameter <em>d</em> = 28 mm

<u>Step 2: Solve</u>

  1. Substitute in variables [Circumference Formula]:                                          C = 3.14(28 mm)
  2. [Circumference] Multiply:                                                                                 C = 87.92 mm
8 0
2 years ago
A triangular field has sides 218.5 and 213.3 and the angle between them measures 58.96°. Find the area of the field.
Zolol [24]

Answer:

The area of the field = 19966.21 units²

Step-by-step explanation:

* Lets explain how to find area of a triangle by trigonometry rule

- In any triangle if you have the lengths of two sides and the measure

 of the including angle between these two sides, then the area of the

 triangle is A = \frac{1}{2}s_{1}s_{2}sin\alpha , wher α is the

 including angle between them

* Lets solve the problem

∵ The field is shaped triangle

∵ The lengths of two sides of the field are 218.5 and 213.3

∴ s1 = 218.5

∴ s2 = 213.3

∵ The measure of the angle between the two sides is 58.96°

∴ α = 58.96°

- Lets find the area using the rule of trigonometry

∴ A=\frac{1}{2}(218.5)(213.3)sin(58.96)=19966.21

∴ The area of the field = 19966.21 units²

4 0
2 years ago
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