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mr Goodwill [35]
2 years ago
14

Cathy has 16 meters of fencing to make a rectangular pen for some rabbits what dimensions will give the maximum area?

Mathematics
1 answer:
Travka [436]2 years ago
6 0
The max occurs when length=width

so
perimiter=16
and L=W
P=2(L+W)
16=2(L+L)
16=2(2L)
16=4L
4=L

the dimentions are length and width are 4 meters
aera will be 16 square meters
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If y varies directly with x and y = 25 when x = 5, what is the value of k? how does this work when y = kx?
Savatey [412]
If y = 25 and x = 5

25 = 5k

k = 5
3 0
3 years ago
Read 2 more answers
David will spend at most $39 on gifts. So far, he has spent $22. What are the possible additional amounts he will spend? Use c f
iren2701 [21]

Answer:

c\leq \$17

Step-by-step explanation:

Let

c -----> the additional amount (in dollars) David will spend

we know that

The word " at most" in this context means "less than or equal to"

The amount David has spent plus possible additional amounts he will spend must be less than or equal to $39

so

The inequality that represent this situation is

22+c\leq 39

solve for c

subtract 22 both sides

c\leq 39-22

c\leq \$17

The maximum amount he could spend is $17

7 0
2 years ago
A tetrahedron is a triangular pyramid with 4 equilateral faces. Han has a box of tetrahedrons with each of the 4 vertices marked
Daniel [21]

Theoretically, the number of the vertex comes at the top must be equal for infinitely many numbers of trials, but it's a tedious job to roll the dice for a large number of times. Rolling the tetrahedron only 10 times will not predict the correct result.

Han suspects that this tetrahedron is weighted in some way to make 1 appear more often than the other numbers.

So, check his suspect experimentally with the help of the concept of center of mass. A fair tetrahedron must have the center of mass at the center of the body.

The given tetrahedron has 4 equilateral triangular faces, so at first, measure all the sides of triangular faces and make sure that all are having the same length.

Then, conduct an experiment to check the location of the center of mass.

Hang the tetrahedron by attaching a thin string at the vertex 1 as shown in the figure and observe the base surface ( triangle 234) whether it is parallel to the ground or not.

Now, repeat the same by hanging it with vertices 2, 3, and 4 and observe the base surface.

For the center of mass to be located at the center of the tetrahedron, the base must be parallel to the ground (flat ground).i.e the hanging string must be perpendicular to the base for all the four cases.

If this is so, then the tetrahedron is a fair tetrahedron otherwise not.

8 0
3 years ago
Simplest form<br> 3/10 + 7/12 =
pochemuha
3(12)/10(12) + 7(10)/12(10) = 36/120 + 70/120

==> 18/60 + 35/60 = 53/60
7 0
3 years ago
Use the quadratic formula to solve x2+7x+3. Show all of your work. Then describe the solution.
Mariana [72]

Answer:

Step-by-step explanation:

The coefficients of the quadratic x^2 + 7x + 3 are a = 1, b = 7 and c = 3.

The discriminant is b^2 - 4ac, or 49 - 4(1)(3), or 49-12, or 37.

Because the discriminant is positive, we know that this quadratic equation has two real, different solutions.

      -7 ± √37

x = ---------------   =>   x = (-7 + √37)/2  and  x = (-7 - √37)/2

             2

In words:  This quadratic equation has two real, unequal solutions involving the radicand 37.

7 0
3 years ago
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