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3 years ago

5

Describe the symmetry of the figure. Identify lines of symmetry, if any. Find the angle and the order of any rotational symmetry

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1 answer:

AlekseyPX3 years ago

5 0

Answer:

The answer is D (line symmetry and rotational symmetry; 180o; order 2.

Step-by-step explanation:

You can fold the figure in half and it would be the same on both sides. The figure also has rotational symmetry because if you rotate the figure 180 degrees about the center, then it basically maps itself, or in other words, its the same. So the ANSWER IS D

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Ifa student wanted to design an experiment that uses sound scientific principles, which of the following

qaws [65]

Answer:

the answer is B

Step-by-step explanation:

4 0

3 years ago

What is greater 4 yards or 13 feet?

expeople1 [14]

1 yard = 3 feet

4 yards = 3 × 4 = 12 feet

13 feet is greater than 4 yards

5 0

3 years ago

You have 600 feet of fencing to enclose a rectangular plot that borders on a river. If you do not fence the side along the river

inn [45]

Answer:

The length and width of plot is $L=300\:ft$ , $W=150\:ft$

Largest area of the plot is $A=45000 ft^{2}$

Step-by-step explanation:

Assume width as x and length as y. Given that length of fencing is 600 feet and fencing is enclosed on 3 sides. So perimeter is given as,

Perimeter = width + length + width

Substituting the value,

$600=x+y+x$

$600= 2x+y$ ….1

Now area of fence of rectangular box is given as follows,

$A=xy$ ….2

Solving equation 1 for y, subtracting 2x from both sides,

$600-2x= y$

Substituting the value in equation 2,

$A=x\left (600-2x \right )$

Simplifying

$A=600x-2x^{2}$

Rewriting,

$A=-2x^{2}+600x$

Above equation looks like quadratic equation $f\left ( x \right )=ax^{2}+bx+c$ whose graph looks like parabola.

Comparing equation f(x) and A values of a, b and c are, $a=-2,b=600$ and $c=0$ .

Now maximum of $f\left ( x \right )$ occurs at vertex.

The x coordinate of the vertex is given as $-\dfrac{b}{2a}$

Substituting the values,

$x=-\dfrac{600}{2\left (-2 \right )}$

Simplifying,

$x=\dfrac{600}{4}$

$x=150$

So width of plot is 150 feet.

Now to calculate value of length by using equation 1,

$600= 2x+y$

Substituting the values,

$600= 2\left (150 \right )+y$

$600= 300+y$

Subtracting 300 from both sides,

$300= y$

So length of plot is 300 ft.

The y coordinate of the vertex is given as $y=f\left ( -\dfrac{b}{2a} \right )$ which also means, $y=f\left ( 150 \right )$

$\therefore A=-2\left (150 \right )^{2}+600\left (150 \right )$

Simplifying,

$\therefore A=-2\left (22500 \right )^{2}+600\left (150 \right )$

$\therefore A=-45000+90000$

$\therefore A=45000$

So, area of the plot will be $A=45000 ft^{2}$

7 0

3 years ago

Problem 11. A, B, C, D, E, F,

andrew11 [14]

Your answer will be D.

6 0

3 years ago

Write parametric equations of the line 2x-y=3

dangina [55]

In this item we are given with the equation, 2x - y = 3. The equation contains two variables, x and y. We assume in this item that the value of x is independent of the value of y; however, y values depends on the given values of x. In parametric form, the equation would take the form,

f(x) = y = ax + b

where a is the numerical coefficient of x and b is constant. Transforming the given equation to this form,

f(x) = y = 2x - 3

4 0

3 years ago

Read 2 more answers