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zhenek [66]
3 years ago
9

The length of a rectangle is (x+5) and the width is (x+2). The area of the rectangle is 70 square feet. What is the length of th

e rectangle?
Mathematics
1 answer:
vaieri [72.5K]3 years ago
7 0

Answer:

The length of the rectangle is 30 feet.

Step-by-step explanation:

Because the equation for area is length times width, you would have to set the two equations to seventy and multiply them.

<em>     (x+5) (x+2) = 70</em>

<em>     </em><em>2x + 10 = 70</em>

Then, you would have to subtract ten from both sides, cancelling it from the left side.

<em>     2x = 60</em>

<em />

Then do the opposite and divide sixty by two, therefore getting a length of thirty feet.

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A wind turbine is located at the top of a hill where the wind blows steadily at 12 m/s, and stands 37 m tall. The air then exits
marta [7]

Answer:

Power generated = 4.315 kW

Step-by-step explanation:

Given,

  • speed of wind when enters into the turbine, V = 12 m/s
  • speed of wind when exits from the turbine, U = 9 m/s
  • mass flow rate of the wind, m = 137 kg/s

According to the law of conservation of energy

Energy generated = change in kinetic energy

Since, the air is exiting at same elevation. So, we will consider only kinetic energy.

Energy generated in one second will be given by,

E\ =\ \dfrac{1}{2}.mV^2-\dfrac{1}{2}.m.U^2

   =\ \dfrac{1}{2}\times 137\times (12)^2-\dfrac{1}{2}\times 137\times (9)^2

   =4315.5 J

   = 4.315 kJ

So, energy is generated in one second = 4.315 kJ

Power generated can be given by,

P\ =\ \dfrac{\textrm{energy generated}}{time}

And the energy is generated is already in per second so power generated will be 4.315 kW.

   

   

   

   

   

8 0
3 years ago
a baby weighs 18 pounds at her four month appointment. six month later she weighs 24 pounds. by what percentage did the baby wei
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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

7 0
3 years ago
Solve the linear equation using equivalent equations to isolate the variable. Express your solution as aninteger, as a simplifie
MakcuM [25]

Recall that like terms are terms that have the same variable with the same exponent, and that all constants are like terms.

To solve the given equation for y, first, we add like terms:

-10.4=y-1.6.

Now, adding 1.6 to both sides of the equation, we get:

\begin{gathered} -10.4+1.6=y-1.6+1.6, \\ -8.8=y\text{.} \end{gathered}

Answer:

y=-8.8.

6 0
1 year ago
I have a Triangle and I need to find the side BC?
Rus_ich [418]
Looking at this problem in the book, I'm guessing that you've been
introduced to a little bit of trigonometry.  Or at least you've seen the
definitions of the trig functions of angles.

Do you remember the definition of either the sine or the cosine of an angle ?

In a right triangle, the sine of an acute angle is  (opposite side) / (hypotenuse),
and the cosine of an acute angle is (adjacent side) / (hypotenuse).

Maybe you could use one of these to solve this problem, but first you'd need to
make sure that this is a right triangle.

Let's see . . . all three angles in any triangle always add up to 180 degrees.
We know two of the angles in this triangle ... 39 and 51 degrees.
How many degrees are left over for the third angle ?
180 - (39 + 51) = 180 - (90) = 90 degrees for the third angle.
It's a right triangle !  yay !  We can use sine or cosine if we want to.

Let's use the 51° angle.
The cosine of any angle is (adjacent side) / (hypotenuse) .
'BC' is the side adjacent to the 51° angle in the picture,
  and the hypotenuse is 27 .

cosine(51°) = (side BC) / 27

Multiply each side of that equation by 27 :

Side-BC = (27) times cosine(51°)

Look up the cosine of 51° in a book or on your calculator.

Cosine(51°) = 0.62932 (rounded)

<u>Side BC</u> = (27) x (0.62932) = <u>16.992</u> (rounded)
============================================

You could just as easily have used the sine of 39° .
That would be (opposite side) / (hypotenuse) ... also (side-BC) / 27 .
4 0
3 years ago
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