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konstantin123 [22]
3 years ago
5

The width of a rectangle is 3ft less than the length. The perimeter is 62ft. Find the length and width of the rectangle.

Mathematics
1 answer:
Assoli18 [71]3 years ago
8 0
I believe the length of the rectangle is 17 ft and the width is 14
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If point C is not located between points A and B then AC+CB__ AB
Gre4nikov [31]

Answer:

\neq

Step-by-step explanation:

If Point C <em>was </em>located between A & B, then:

AC+CB=AB

However, we are told Point C is <em>not</em>; therefore:

AC+AB\neq AB

6 0
3 years ago
Find the simple interest earned to the nearest cent for each principal, interest rate, and time.
Y_Kistochka [10]

Answer:

Interest earned at 3.9 percent rate is $31.2

Interest earned at 2 percent rate is $5.8

Step-by-step explanation:

A = P(1 + rt)

Where 'A' is the amount, 'r' is the rate and 't' is the time in years

When;

P = $1200

r = 3.9%

t = \frac{8}{12} years

Then,

A = $1200(1 + 0.039(\frac{8}{12}))

A = $1200 + $31.2 = $1231.2

Interest = Amount - Principal

Interest earned at 3.9 percent rate is $1231.2 - $1200 = $31.2

When;

P = $580

r = 2%

t = \frac{6}{12} years

Then,

A = $580(1 + 0.02(\frac{6}{12}))

A = $580 + $5.8 = $585.8

Interest earned = Amount - Principal

Interest earned at 2 percent rate = $585.8 - $580 = $5.8

4 0
3 years ago
Write an equation of the line in slope-intercept form.<br><br> f(0)=9, f(2)=4
Lerok [7]

Answer:

f(x)=-\frac{5}{2}\\x+9

Step-by-step explanation:

Use the slope formula and slope intercept formula form y=mx + b to find the equation

3 0
2 years ago
PLS TRY TO ANSWER ASAP.
Harrizon [31]

Answer:

  • <u>0.075 m/min</u>

Explanation:

You need to use derivatives which is an advanced concept used in calculus.

<u>1. Write the equation for the volume of the cone:</u>

      V=\dfrac{1}{3}\pi r^2h

<u />

<u>2. Find the relation between the radius and the height:</u>

  • r = diameter/2 = 5m/2 = 2.5m
  • h = 5.2m
  • h/r =5.2 / 2.5 = 2.08

<u>3. Filling the tank:</u>

Call y the height of water and x the horizontal distance from the axis of symmetry of the cone to the wall for the surface of water, when the cone is being filled.

The ratio x/y is the same r/h

  • x/y=r/h
  • y = x . h / r

The volume of water inside the cone is:

        V=\dfrac{1}{3}\pi x^2y

        V=\dfrac{1}{3}\pi x^2(2.08)\cdot x\\\\\\V=\dfrac{2.08}{3}\pi x^3

<u>4. Find the derivative of the volume of water with respect to time:</u>

            \dfrac{dV}{dt}=2.08\pi x^2\dfrac{dx}{dt}

<u>5. Find x² when the volume of water is 8π m³:</u>

       V=\dfrac{2.08}{3}\pi x^3\\\\\\8\pi=\dfrac{2.08}{3}\pi x^3\\\\\\  11.53846=x^3\\ \\ \\ x=2.25969\\ \\ \\ x^2=5.1062m²

<u>6. Solve for dx/dt:</u>

      1.2m^3/min=2.08\pi(5.1062m^2)\dfrac{dx}{dt}

      \dfrac{dx}{dt}=0.03596m/min

<u />

<u>7. Find dh/dt:</u>

From y/x = h/r = 2.08:

        y=2.08x\\\\\\\dfrac{dy}{dx}=2.08\dfrac{dx}{dt}\\\\\\\dfrac{dy}{dt}=2.08(0.035964m/min)=0.0748m/min\approx0.075m/min

That is the rate at which the water level is rising when there is 8π m³ of water.

4 0
3 years ago
What is the solution to the equation 4x-6= 10x-3?<br>​
JulijaS [17]

Answer:

2x=-1 or x=-0.5

Step-by-step explanation:

4x-6=10x-3   (-4x)

-6=6x-3   (+3)

-3=6x   (divide by 3)

-1=2x

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