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3 years ago

10

The dimensions of a rectangle is the length is 7in more than the width. If the length is double and the width is decreased by 3

then the area would increase to 114in². What is the length and width?

1 answer:

polet [3.4K]3 years ago

6 0

Answer: 4

Step-by-step explanation:

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(time limit!) what is the volume below?<br><br>A) 112 <br>B) 224 <br>C) 784 <br>D) 896

Radda [10]

To find a volume of a cylinder we use the following formula:
$v = \pi {r}^{2} h$
Plug in the values:

$v = \pi \times {8}^{2} \times 14$
Take the square:
$v = \pi \times 64 \times 14$
Multiply the numbers:
$v =896 \pi {m}^{2}$

8 0

3 years ago

How many even 3-digit positive integers can be written using the digits 1,2,4,7, and 8?

N76 [4]

Looking at the question, we can see we have 5 different numbers that can go in any order.

<u>5</u> * <u>4</u> * <u>3</u>

The above is basically saying there are 5 different numbers that can be multiplied by 4 other numbers. Those 2 can be multiplied by 3 different ones, leaving us with a 3 digit positive integer.

5 * 4* 3 = 60

4 0

3 years ago

Find the work done by the force field F(x, y) = xi + (y + 5)j in moving an object along an arch of the cycloid r(t) = (t − sin(t

Nimfa-mama [501]

Integrate the force field along the given path (call it <em>C</em>):

$W=\displaystyle\int_C\mathbf F(x,y)\cdot\mathrm d\mathbf r=\int_0^{2\pi}\mathbf F(x(t),y(t))\cdot\frac{\mathrm d\mathbf r}{\mathrm dt}\,\mathrm dt$

$=\displaystyle\int_0^{2\pi}\bigg((t-\sin t)\,\mathbf i+(6-\cos t)\,\mathbf j\bigg)\cdot\bigg((1-\cos t)\,\mathbf i+\sin t\,\mathbf j\bigg)\,\mathrm dt$

$=\displaystyle\int_0^{2\pi}(t-t\cos t+5\sin t)\,\mathrm dt=\boxed{2\pi^2}$

5 0

3 years ago

Help me plz!!!!!!! test tomorrow

Alex

Answer:

The number of movies purchased is 5

Step-by-step explanation:

40.00 + 3.50 = 43.50

43.50 + 3.50 = 47.00

47.00 + 3.50 = 50.50

50.50 + 3.50 = 54.00

54.00 + 3.50 = 57.50

so if you add 3.50 to 40, 5 times you'll get 57.50

Hope it helped

7 0

3 years ago

Simplify. -3x = 50<br> a. -150<br> b. 150<br> c. 16 2/3<br> d. -16 2/3

Sedbober [7]

Answer:

$\large\boxed{d.\ -16\dfrac{2}{3}}$

Step-by-step explanation:

$-3x=50\qquad\text{divide both sides by (-3)}\\\\\dfrac{-3x}{-3}=\dfrac{50}{-3}\\\\x=-16\dfrac{2}{3}$

7 0

3 years ago