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Keith_Richards [23]
3 years ago
14

What is the formula to calculate the area of a square/rectangle

Mathematics
1 answer:
emmasim [6.3K]3 years ago
4 0
Area of square/rectangle = length times width
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Hello all, this is for an assignment in my Calculus 2 class. I'm submitting it online, and it keeps saying my answer is wrong :(
kolezko [41]
\bf \displaystyle \cfrac{1}{5-2}\int\limits_{2}^{5}\ \cfrac{t}{\sqrt{5+t^2}}\cdot  dt\\\\
-----------------------------\\\\
u=5+t^2\implies \cfrac{du}{dt}=2t\implies \cfrac{du}{2t}=dt\\\\
-----------------------------\\\\

\bf \displaystyle \cfrac{1}{3}\int\limits_{2}^{5}\ \cfrac{t}{\sqrt{u}}\cdot  \cfrac{du}{2t}\implies \cfrac{1}{3}\cdot \cfrac{1}{2}\int\limits_{2}^{5}\ u^{-\frac{1}{2}}\cdot du\implies \cfrac{1}{6}\int\limits_{2}^{5}\ u^{-\frac{1}{2}}\cdot du
\\\\\\
\left. \cfrac{\sqrt{u}}{3} \right]_{2}^5\implies \cfrac{\sqrt{5}}{3}-\cfrac{\sqrt{2}}{3}\implies \cfrac{\sqrt{5}-\sqrt{2}}{3}
8 0
3 years ago
Read 2 more answers
Multiply. (5x^2-6x+2)(4x^2-3x)
baherus [9]

20x^4-39x^3-16x

Make sure to multiply all the terms by each other in the two parentheses

3 0
3 years ago
A car can travel 156 kilometers on 13 liters of gasoline. How much gasoline will it need to go 480 kilometers?
vodka [1.7K]

Answer:

40

Step-by-step explanation:

To find how much gasoline is needed for 480 kilometers, we will need to find how much is needed per kilometers:

13 liters is used for 156 kilometers

156/13 = 12 so 1 liter gasoline is spent per 12 kilometers

So for 480 kilometers we would need 40 liter gasoline because

480/12 = 40

8 0
2 years ago
What is shift y = 5x 3 units up.
alukav5142 [94]
Y=5x+3. because your y axis is moved
8 0
3 years ago
In your quilt shop,you make and sell quilts. You like to have a total of 26 yards of royal blue fabric in stock at the beginning
Vera_Pavlovna [14]

Answer:

7 pieces

Step-by-step explanation:

Stock that must be available at the beginning of each month = 26 yards

Since,

1 yard = 36 inches

26 yards = 26 x 36 = 936 inches

This means 936 inches of fabric must be available at beginning of each month.

<u>Current Inventory:</u>

4 pieces that are each 22 1/2 (or 22.5) inches long. So total length of these fabrics =  4 x 22.5 = 90 inches

3 pieces that each 33 inches long. So total length of these fabrics = 3 x 33 = 99 inches

Therefore, the total length of current inventory = 90 + 99 = 189 inches.

<u>Length of fabric needed more:</u>

Length of fabric that must be bought more = 936 - 189 = 747 inches

It is given that the fabric must be bought in pieces are the 3 yards long. 3 yards is equal to 108 inches.

So,  I have to buy pieces that are each 108 inches long and I need to complete 747 inches in total.

Therefore, the number of pieces that I need to buy = \frac{747}{108}=6.9

Since, the pieces cannot be bought in fraction, I need to buy 7 complete pieces to replenish my stock.

6 0
3 years ago
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