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3 years ago

A rectangular table top has dimensions as 1.52m and 0.75m. Find the perimeter in cm

Mathematics

1 answer:

Elis [28]3 years ago

3 0

That is a question about perimeter of rectangle.

The perimeter of a geometric shape is the sum of the value of the all sides.

In a rectangle, the opposite sides are cogruentes (equals). For example, look at picture below. In that rectangle, the sides AB and DC are equals, and the sides AD and BC are equals.

So, the sides of that rectangular table are: 1.52m, 1.52m, 0.75m and 0.75.

Therefore, the perimeter of that rectangle is $1.52+1.52+0.75+0.75= 4.54$ m.

But that is not the final answer because that is the perimeter in meters and the question want the answer in centimeters.

1 meter has 100 centimeter, so we need to multiplicate the perimeter by 100.

Thus, the perimeter of that rectangular table is $4.54\cdot 100 = 454$ cm.

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3 years ago

The given sphere has a radius of 2 inches.

Ratling [72]

Answer:

When the radius is doubled, the volume of the new sphere is 8 times larger than the old one

Step-by-step explanation:

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4 years ago

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This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive an

stealth61 [152]

Answer:

$M_x = 2, M_y = 3$

Center of mass at $(\frac{3}{10},\frac{2}{10})$

Step-by-step explanation:

Given a set of objects $m_1, \dots, m_k$ located at the points $P_1(x_1, y_1), \dots, P_k(x_k,y_k)$ The moments Mx and My are calculated as follows.

$M_x = \sum_{n=1}^k m_n\cdot y_n, M_y = \sum_{n=1}^k m_n\cdot x_n$

and the Center of mass is given at the coordinates $(\frac{My}{M}, \frac{Mx}{M})$ where M is the total mass of the system.

We have that m1=3, m2=4 and m3=3, so M = 3+4+3 = 10.

We have that m1 is at point P1(2,-6), m2 at point P2(-3,2) and m3 at point P3 (3,4), then

$M_x = \sum_{n=1}^k m_n\cdot y_n = 3\cdot(-6)+4\cdot(2)+3\cdot(4)=2$

$M_y = \sum_{n=1}^k m_n\cdot x_n = 3\cdot(2)+4\cdot(-3)+3\cdot(3)= 3$

Then, the center of Mass is at $(\frac{3}{10},\frac{2}{10})$

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3 years ago

The owners of a recreation area are filling a small pond with water. Let WB the total amount of water in the pond(in liters). Le

alexira [117]

Answer:

As we can see the domain is the: "number of minutes water has been added". And from the information given the values for T are between 0 and 60 so then the set of values would be "the set of all real numbers from 0 to 60", and we start from 0 because the time can't be negative.

For the range who represent "amount of water in the pond (in liters)" we need to analyze the possible values for W, since T is defined between 0 and 60 the limits for W are:

$W(0)=35*0+300=300$

$W(60)=35*60+300=2400$

So then the set of values for the range are "the set of all real numbers from 300 to 2400" liters.

Step-by-step explanation:

Assuming this complete problem: "The owners of a recreation area are filling a small pond with water. Let W be the total amount of water in the pond (in liters). Let T be the total number of minutes that water has been added. Suppose that gives as a W function of during the next 60 minutes.

Identify the correct description of the values in both the domain and range of the function. Then, for each, choose the most appropriate set of values. "

Solution to the problem

For the range who represent "amount of water in the pond (in liters)" we need to analyze the possible values for W, since T is defined between 0 and 60 the limits for W are:

$W(0)=35*0+300=300$

$W(60)=35*60+300=2400$

So then the set of values for the range are "the set of all real numbers from 300 to 2400" liters.

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2 years ago

The length of the rectangle is x + 12. The width of the rectangle is x + 3. Please determine the area of the rectangle.

OverLord2011 [107]

Answer:

For part A, the product of (-5 + x)(x + 4) is equal to x^2 - x - 20. For part B, the product of -5 + x and x + 4 is not equal to the product of 5 + x and x - 4. And for part C the product of (3 + 5)(3^2 + 4 - 3) equals 70.

Step-by-step explanation:

I will tell you how I came up with those answers.

The product of (-5 + x)(x + 4) can be found using the<em> FOIL</em> method(First, Outer, Inner, Last).

Start with multiplying -5 and x. -5 * x = -5x.

Now multiply -5 and 4. -5 * 4 = -20.

Next, multiply x and x. x * x = x^2.

Finally, multiply x and 4. x * 4 = 4x.

And now it is time to simplify and change to standard form.

-5x - 20 + x^2 + 4x.

x^2 - 5x - 20 + 4x.

x^2 - 5x + 4x - 20.

x^2 - x - 20.

The final answer for part A is x^2 - x - 20.

For part B, the product of -5 + x and x + 4 is already known.

But now we need to figure out the product of 5 + x and x - 4.

We can use the FOIL method again to solve for the new product.

Start by multiplying 5 and x. 5 * x = 5x.

Next, multiply 5 and -4. 5 * -4 = -20.

Now multiply x and x. x * x = x^2.

Finally, multiply x and -4. x * -4 = -4x.

And now we can simplify and arrange the terms into standard form.

5x - 20 + x^2 - 4x.

x^2 + 5x - 20 - 4x.

x^2 + 5x - 4x - 20.

x^2 + x - 20.

The final answer for part B is that the products of

(-5 + x)(x + 4) and (5 + x)(x - 4) are not equivalent. They look similar except the difference between them is the "x" value. The x value of the first equation's product is -x while the x value of the second equation's product is x.

For part C, use the FOIL method as used in the last questions to find the answer.

2 * 3^2 = 2 * 9 = 18.

2 * 4 = 8.

2 * -3 = -6.

5 * 3^2 = 5 * 9 = 45.

5 * 4 = 20.

5 * -3 = -15.

Now combine the numbers to get the final answer for part C.

Follow PEMDAS (Parentheses, Exponents, Multiplication, Division, Addition and Subtraction).

The only operations are subtraction and addition. The rule is the add before subtracting, but this does not always apply. For this being true, we only need to perform the first operation from the left side.

18 + 8 - 6 + 45 + 20 - 15.

26 - 6 + 45 + 20 - 15.

20 + 45 + 20 - 15.

65 + 20 - 15.

85 - 15.

70.

So the last answer to part C is 70.

Also the area of the rectangle is x^2 + 15x + 36. I forgot that part, my apologies.

3 0

3 years ago