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Mrac [35]
2 years ago
7

Can you form a triangle with the following segments 6,5,3?

Mathematics
1 answer:
LenaWriter [7]2 years ago
4 0

Answer:

yes

Step-by-step explanation:

the sum of any two sides must be greater than the length of the remaining side in order to be able to form a triangle.

5+3=8

3+6=9

6+5=11

Hope this helps. Have a nice day. May it be filled with joy and happiness. Please, stay safe and wash your hands/wear a mask when in public. Happy Holidays.

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The function f(x)=1+1.5ln(x+1) models the average number of free-throws a basketball player can make consecutively during practi
UNO [17]

Answer:

402 days.

Step-by-step explanation:

f(x)=1+1.5ln(x+1)

When f() = 10 we have:

10 = 1 + 1.5ln (x + 1)

ln (x + 1) = (10-1) / 1.5 = 6

x + 1 = e^6

x = e^6 - 1 = 402.4.

8 0
2 years ago
The depth of the water at the end of a pier changes periodically along with the movement of tides. On a particular day, low tide
Valentin [98]
Draw a diagram to illustrate the problem as shown in the figure below.

The minimum depth of 2.5 m occurs at 12:00 am and at 12:30 pm.
Therefore the period i0s T= 12.5 hours.
The maximum depth of 5.5 m occurs at 6:15 am and at 6:45 pm. Therefore the period of T = 12.5 hours is confirmed.

The double amplitude is 5.5 - 2.5 = 3 m, therefore the amplitude is a = 1.5 m.
The mean depth is k = (2.5 + 5.5)/2 = 4.0 m

The model for tide depth is
d=-1.5cos( \frac{2 \pi t}{12.5})+4

That is,
d = -1.5 cos(0.5027t) + 4
where 
d = depth, m
t = time, hours

A plot of the function confirms that the model is correct.

8 0
3 years ago
Read 2 more answers
How do i divide fractions ΓΓΓ
Free_Kalibri [48]

Dividing fractions is basically the same thing as multiplying but by the reciprocal. I will give an example.

1/2 divided by 1/3

To solve this you do 1/2 multiplied by 3/1 so you switch the numerator and denominator.

5 0
3 years ago
What is the product of 2x + y and 5x – y + 3?
Radda [10]

Answer:

The product of 2x + y and 5x – y + 3 is 10x^2+ 3xy + 6x - y^2 + 3y

Step-by-step explanation:

The product of the two expressions can be expressed mathematically as;

(2x +y) (5x -y +3)

To obtain the product of these expressions, we simply expand the brackets as follows;

2x(5x -y +3) + y(5x -y +3)

= 10x^2 - 2xy + 6x + 5xy - y^2 + 3y

= 10x^2- 2xy + 5xy + 6x - y^2 + 3y

= 10x^2+ 3xy + 6x - y^2 + 3y

The product of 2x + y and 5x – y + 3 is thus 10x^2+ 3xy + 6x - y^2 + 3y

5 0
3 years ago
Read 2 more answers
Find the dimensions of the rectangle with area 289 square inches that has minimum perimeter, and then find the minimum perimeter
nalin [4]
 <span>To minimize the perimeter you should always have a square. 
sqrt(289) = 17 
The dimensions should be 17 X 17 

To see , try starting at length 1, and gradually increase the length. 
The height decreases at a faster rate than the length increases, up until you reach a square. 

Or if you want to use algebra, Say the width is 17-x 
Then the length is 289/(17-x) 

Now, this is bigger than 17+x, as shown here: 
289/(17-x) > 17+x 
289 > 289 - x^2 
which is true. 
so the perimeter would be bigger than 2 * (17- x + 17 + x) = 2 * (2 * 17) = 4 * 17 

Again, the dimensions should be a square. 17 X 17.</span>
4 0
3 years ago
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