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3 years ago

a shape with rotational symmetry can be rotated around a point so that all of its characteristics are maintained

Mathematics

2 answers:

kirza4 [7]3 years ago

4 0

The correct answer to this is “True”.

Symmetry signifies balance and form. An object with rotational symmetry will still look the same after a rotation. Since it maintains its shape and figure after being rotated, therefore its characteristics such as length of the diagonals, the angles of each corner, or parallelism of opposite sides will remain the same.

AlladinOne [14]3 years ago

3 0

Answer:

True, the object is only getting translated. There is no change is shape or size.

Step-by-step explanation:

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If Gabe's Soccer Ball Company is able, due to competitive pressure, to charge $60 for a new soccer ball, while one soccer ball c

Brums [2.3K]

Answer:

Results are below.

Step-by-step explanation:

Giving the following information:

Selling price= $60

Unitary variable cost= $28

Fixed costs= $15,000

First, we need to calculate the average total cost:

Average cost= total cost / number of units

For example, for 1 unit and 10,000 units:

1 unit:

Average cost= 15,028/1 = 15,028

10,000 units:

Average cost= (15,000 + 28*10,000) / 10,000

Average cost= $29.5

Now, we can calculate the break-even point in units:

0= (60*x) - (28*x) - 15,000

x= number of units to break-even

0= 32x - 15,000

15,000/32= x

468.75=x

break-even point in units= 469

For the desired profit of $10,000:

10,000 = (60*x) - (28*x) - 15,000

25,000= 32x

781.25= x

Break-even point= 782 units

Finally, fixed costs dropped by $8,000:

0= 32x - 7,000

x= 7,000/32

x= 218.75

Break-even point= 219

Difference= 250 units

5 0

3 years ago

A. Is the sum of two polynomials always a polynomial? Explain

IgorLugansk [536]

Answer: The answers for both (a) and (b) is YES.

Step-by-step explanation: A polynomial is an algebraic expression containing two or more algebraic terms, i.e., the sum of several terms that contain different powers of the same variable or variables with real coefficients.

For example, p(x) = 4x²+x+2 is a polynomial in variable 'x'.

(a) Yes, the sum of two polynomials is again a polynomial. For example,

if p(x) = ax² + bx + c and q(x) = dx² + ex + f, where, a, b, c, d, e and f are real numbers, then their sum will be

p(x) + q(x) = (a+d)x²+(b+e)x+(c+f), which is again a polynomial in 'x' with real coefficients.

(b) Yes, the difference of two polynomials is again a polynomial. For example,

p(x) - q(x) = (a-d)x²+(b-e)x+(c-f), which is again a polynomial in 'x' with real coefficients.

Thus, the answer is YES.

6 0

3 years ago

The area of a rectangular pool is 6365 m2. If the length of the pool is 95 m, what is its width?

PilotLPTM [1.2K]

Answer:

6365/95 = 67

But if your counting METERS and SQUARE METERS

It would be 134

3 0

3 years ago

5x^2-4x=6 solve for x

ikadub [295]

Let's solve your equation step-by-step.5x(2)−4x=6Step 1: Simplify both sides of the equation.5x(2)−4x=6Simplify: (Show steps)10x+−4x=6(10x+−4x)=6(Combine Like Terms)6x=66x=6Step 2: Divide both sides by 6.‌6x6‌=‌66‌x=1Answer:x=1

8 0

3 years ago

-4p + 19 = 11 please help me due tomorrow

Valentin [98]

Answer:

p=2

Step-by-step explanation:

−4p=11−19

−4p=−8

then you divide both sides by -4 and two negatives make a positive.

6 0

3 years ago