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Virty [35]
3 years ago
6

find the area of the window 24inch by 30inch and convert in to square feet, round the anwser to the second decimal place

Mathematics
1 answer:
Nezavi [6.7K]3 years ago
4 0

Answer:

5 sq. ft.

Step-by-step explanation:

To find the area of a rectangle, use this formula: A = lw.

Because you know two side lengths of the window, you can just plug in the numbers to the formula.

But not yet! You need to convert the given lengths into feet first.

You know that there are 12 inches in 1 foot.

So:

24 inches ÷ 12 inches/foot = 2 feet

30 inches ÷ 12 inches/foot = 2.5 feet

Alright, now you can plug in these lengths into the formula.

A = (2) (2.5) = 5 sq. ft.

The question asks you to round, but there is nothing to round, so you are done here.

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A ball is thrown vertically in the air with a velocity of 95 ft/s. The ball is at a height of 120 ft.
sattari [20]

Answer:

The ball is at a height of 120 feet after 1.8 and 4.1 seconds.

Step-by-step explanation:

The statement is incomplete. The complete statement is perhaps the following "A ball is thrown vertically in the air with a velocity of 95 ft/s. What time in seconds is the ball at a height of 120ft. Round to the nearest tenth of a second."

Since the ball is launched upwards, gravity decelerates it up to rest and moves downwards. The position of the ball can be determined as a function of time by using this expression:

y = y_{o} + v_{o}\cdot t +\frac{1}{2}\cdot g \cdot t^{2}

Where:

y_{o} - Initial height of the ball, measured in feet.

v_{o} - Initial speed of the ball, measured in feet per second.

g - Gravitational constant, equal to -32.174\,\frac{ft}{s^{2}}.

t - Time, measured in seconds.

Given that y_{o} = 0\,ft, v_{o} = 95\,\frac{ft}{s}, g = -32.174\,\frac{ft}{s^{2}} and y = 120\,ft, the following second-order polynomial is found:

120\,ft = 0\,ft + \left(95\,\frac{ft}{s} \right)\cdot t +\frac{1}{2}\cdot \left(-32.174\,\frac{ft}{s^{2}} \right) \cdot t^{2}

-16.087\cdot t^{2} + 95\cdot t -120 =0

The roots of this polynomial are, respectively:

t_{1} \approx 4.075\,s and t_{2} \approx 1.831\,s.

Both roots solutions are physically reasonable, since t_{1} represents the instant when the ball reaches a height of 120 ft before reaching maximum height, whereas t_{2} represents the instant when the ball the same height after reaching maximum height.

In nutshell, the ball is at a height of 120 feet after 1.8 and 4.1 seconds.

8 0
3 years ago
F(x) = <br> (3 - x)<br> f(-1) =<br> A) 1 <br> B) 2 <br> C) undefined <br> D) <br> 2
garik1379 [7]

Answer:

none of the choices

Step-by-step explanation:

f(x) = 3-x

Let x=-1

f(-1) = 3 - (-1)

     = 3+1

      =4

f(-1) =4

6 0
3 years ago
Read 2 more answers
For what values of $x$ is it true that $x^2 - 5x - 4 \le 10$? Express your answer in interval notation.
dybincka [34]

Answer:

  x ∈ [-2, 7]

Step-by-step explanation:

The given equation ...

  x^2 -5x -4 ≤ 10

can be rewritten as ...

  x^2 -5x -14 ≤ 0

and factored as ...

  (x +2)(x -7) ≤ 0

Clearly, the "or equal to" condition will be met when x=-2 and x=7. For values of x between these numbers, one factor is negative and the other is positive. Hence the product will be negative. So, numbers in that interval are the solution set.

  x ∈ [-2, 7]

5 0
3 years ago
Can someone explain to me how to do this!!!
galina1969 [7]
Well...it says the sum of the angles measure 360...so lets set them equal to 360

40 + x - 10 + 1/3x + x - 20 = 360...combine like terms
2 1/3x + 10 = 360
7/3x = 360 - 10
7/3x = 350
x = 350/(7/3)
x = 350 * 3/7
x = 1050/7
x = 150 <===== 






3 0
3 years ago
What is 9 to the power of 6 divided by negative 2 to the power of 3?
Dafna11 [192]
The answer is -66430.125
8 0
3 years ago
Read 2 more answers
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