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vladimir1956 [14]
3 years ago
12

What is the square root of 36

Mathematics
1 answer:
r-ruslan [8.4K]3 years ago
7 0
36: 6
Hope it helps:p
Square root is 6
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Find the measurements (the length L and the width W) of an inscribed rectangle under the line with the 1st quadrant of the x &am
Leni [432]

The question is incomplete. Here is the complete question.

Find the measurements (the lenght L and the width W) of an inscribed rectangle under the line y = -\frac{3}{4}x + 3 with the 1st quadrant of the x & y coordinate system such that the area is maximum. Also, find that maximum area. To get full credit, you must draw the picture of the problem and label the length and the width in terms of x and y.

Answer: L = 1; W = 9/4; A = 2.25;

Step-by-step explanation: The rectangle is under a straight line. Area of a rectangle is given by A = L*W. To determine the maximum area:

A = x.y

A = x(-\frac{3}{4}.x + 3)

A = -\frac{3}{4}.x^{2}  + 3x

To maximize, we have to differentiate the equation:

\frac{dA}{dx} = \frac{d}{dx}(-\frac{3}{4}.x^{2}  + 3x)

\frac{dA}{dx} = -3x + 3

The critical point is:

\frac{dA}{dx} = 0

-3x + 3 = 0

x = 1

Substituing:

y = -\frac{3}{4}x + 3

y = -\frac{3}{4}.1 + 3

y = 9/4

So, the measurements are x = L = 1 and y = W = 9/4

The maximum area is:

A = 1 . 9/4

A = 9/4

A = 2.25

6 0
3 years ago
You are told to you will have to wait 5 hours in a line with a group of other people. Determine it. 1.You know the number of min
gulaghasi [49]

Answer:

for\ five\ hours = 300\ min

Step-by-step explanation:

Given:

Waiting time = 5 hours.

We need to find the number of minutes for 5 hours.

Solution:

We know that 60 minutes for each hour, so one hour is equal to 60 minutes.

For one hour = 60\ minutes

For five hours = 5\times 60

for\ five\ hours = 300\ min

Therefore, you will have to wait 300 minutes in a line.

3 0
3 years ago
Arliss has two pieces of carpet runner. One is yards long and the other is yards long. She needs 10 yards of carpet runner altog
Alekssandra [29.7K]
Given:
10 yards required
5 2/3 yards on hand.

We need to subtract the yards on hand from the total yards required.

First, we need to convert the mixed fraction into an improper fraction.

5 2/3 = ((5*3)+2)/3 = (15+2)/3 = 17/3

Second, we need to multiply 10 by a fraction that will give us the denominator of 3.

10 * 3/3 = (10*3)/3 = 30/3

Third, we do subtraction using our derived fractions.

30/3 - 17/3 = (30-17)/3 = 13/3

Lastly, we simplify the improper fraction. Improper fraction is a fraction whose numerator is greater than its denominator. Its simplified form is a mixed fraction.

13/3 = 4 1/3

Arliss needs to buy 4 1/3 yards more to complete the required yard length. 

6 0
3 years ago
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1.625 round to the nearest tenth?need help
padilas [110]
1.625 rounded to the nearest hundredth is 1.63

5 0
3 years ago
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Are all vertical lines parallel?
BartSMP [9]

Answer: Yes

Step-by-step explanation: All vertical lines have the same slope and because of that they are always parallel.

4 0
3 years ago
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