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3 years ago

Corresponding angles and interior angles can never have equal angle

Mathematics

1 answer:

musickatia [10]3 years ago

5 0

Answer:

true

Step-by-step explanation:

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How many feet in a mile

Anton [14]

There are 5,280 feet in a single mile.
Which is equivalent to 1,760 yards.

7 0

3 years ago

Ten less the quotient If number and 3 is 6

Anastasy [175]

Answer:

Quotient of a number and 3 = x/3

Ten less the quotient of a number and 3 will equal 6

So...

10 - x/3 = 6

+ x/3 +x/3

10 = x/3 +6

-6 - 6

3 × 4=(x/3) × 3

12 = x

5 0

3 years ago

Read 2 more answers

The mean of 15 numbers is 12. An extra number is included and the mean increases to 13. What the extra number?

Studentka2010 [4]

Answer: 28

Step-by-step explanation:

The mean of 15 numbers = 12

Then , the sum of the numbers = 12x15 = 180

Let the extra number included be $x$ , then

The new sum = $x + 180$

And the new total number will increase from 15 to 16

new mean = 13 , so we have :

$\frac{x+180}{16} = 13$

$x+ 180 = 16(13)$

$x + 180 = 208$

$x = 208 - 180$

$x = 28$

therefore , the extra number is 28

5 0

3 years ago

PLS TRY TO ANSWER ASAP.

Harrizon [31]

Answer:

0.075 m/min

Explanation:

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

1. Write the equation for the volume of the cone:

$V=\dfrac{1}{3}\pi r^2h$

2. Find the relation between the radius and the height:

r = diameter/2 = 5m/2 = 2.5m

h = 5.2m

h/r =5.2 / 2.5 = 2.08

3. Filling the tank:

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:

$V=\dfrac{1}{3}\pi x^2y$

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

4. Find the derivative of the volume of water with respect to time:

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

5. Find x² when the volume of water is 8π m³:

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

6. Solve for dx/dt:

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

$\dfrac{dx}{dt}=0.03596m/min$

7. Find dh/dt:

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

In an equation y varies directly as x varies.If y =208 when x =13 what is the value of x when y=-144

MissTica

Hope this helped you with your problem

7 0

3 years ago