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VMariaS [17]
3 years ago
15

Compare the given dimensions of four triangles. Which triangle is possible to construct? side lengths of 5 ft, 12 ft, and 13 ft

side lengths of 2 ft, 11 ft, and 15 ft side lengths of 3 ft, 7 ft, and 11 ft side lengths of 4 ft, 8 ft, and 15 ft
Mathematics
2 answers:
kobusy [5.1K]3 years ago
7 0
(5,12,13) is a right triangle and can be constructed.
All the others do not satisfy the triangle inequality, i.e. the sum of two short sides must exceed the long side in order for the triangle to be constructed.
Examples:
2+11<15, so no
3+7<11, so no
4+8<15, so no
but 5+12>13  so yes, it can be constructed.
serg [7]3 years ago
4 0

Answer:

a

Step-by-step explanation:

just know this is 100% correct

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(8.5-2x)(11-2x)(x) what is the approximate value of x that would allow you to construct an
Wittaler [7]

The largest volume possible from one piece of paper for open-top box is 64.296 cubic unit.

<h3>What is meant by the term maxima?</h3>
  • The maxima point on the curve will be the highest point within the given range, and the minima point will be the lowest point just on curve.
  • Extrema is the product of maxima and minima.

For the given question dimensions of open-top box;

The volume is given by the equation;

V = (8.5-2x)(11-2x)(x)

Simplifying the equation;

V = x(4x² - 39x + 93.5)

Differentiate the equation with respect to x using the product rule.

dV/dx = x(8x -39) + (4x² - 39x + 93.5)

dV/dx = 8x² - 39x + 4x² - 39x + 93.5

dV/dx = 12x² - 72x + 93.5

Put the Derivative equals zero to get the critical point.

12x² - 72x + 93.5 = 0.

Solve using quadratic formula to get the values.

x = 4.1  and x = 1.9

Put each value of x in the volume to get the maximum volume;

V(4.1) =  4.1(4(4.1)² - 39(4.1) + 93.5)

V(4.1) = 3.44 cubic unit.

V(1.9) = 1.9(4(1.9)² - 39(1.9) + 93.5)

V(1.9) = 64.296 cubic unit. (largest volume)

Thus, the largest/maximum volume possible from one piece of paper for open-top box is 64.296 cubic unit.

To know more about the maxima, here

brainly.com/question/17184631

#SPJ1

4 0
1 year ago
Ben and Sam are driving in a lake.at 14 feet below the surface, ben spots sam 9 feet directly below him.find smash deprh
MAVERICK [17]

Sam's depth is 25 feet as 14 + 9 = 25

7 0
3 years ago
What’s a Equlivant fraction for 2/8 3/8 and 4/8<br><br> Need ASAP<br> Thanks
DaniilM [7]

To get the equivalent fractions, you simply have to multiply the fraction with another fraction that would equal to 1.

2/8 x 2/2 (this is equal to 1) = 4/16; 1/4

3/8 x 2/2 = 6/16; 9/24

4/8 x 2/2 = 8/16; 1/2

7 0
3 years ago
Help me with this please
ElenaW [278]

The greatest common factor is 2z^3.

In order to find the greatest common factor, always start with the coefficient of the lowest term. Let's see what the factors of 14 are.

Factors of 10: 1, 2, 5, 10

Now we look to see which are also factors of the next highest number.

Factors of 14: 1, 2, 7, 14

Only 1 and 2 are similar factors. Since 2 is also a factor of 70, 2 in the coefficient of our greatest common factor.

Next we look for the term with the least number of z's. 14z^3 is the least number of z's. This means we can take out z^3. Giving us the final answer of 2z^3.

5 0
3 years ago
What is the slope of the line shown below? PLEASE HELP
NikAS [45]

Answer:

C. 2

Step-by-step explanation:

The grid markings are the same distance apart in the x- and y-directions, so a line with slope 1 will make a 45° angle with the x-axis. Your line is steeper than that, so has a slope more than 1.

Your line goes up to the right, so its slope is positive.

The only answer choice that is a positive number more than 1 is ...

... C. 2

_____

The slope is computed as the ratio of rise (vertical change) to run (horizontal change). The two marked points tell you the vertical change is from y=-4 to y=6, a change of 6-(-4) = 10. The horizontal change is from x=1 to x=6, a change of 6-1 = 5.

Then the ratio of rise to run is 10/5 = 2. This matches answer C.

6 0
3 years ago
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