What would be the dimensions of a rectangle with a perimeter of 14

Answers

Answer 1
Answer:

Answer:

17........ hope its helpful

Step-by-step explanation:

⇒2x+2y=14⇒2x+2y=14 or x+y=17x+y=17


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What is the point on the unit circle for the angle below?

Answers

Answer:

xcvbnm

Step-by-step explanation:

n

Antonio has a job as a waiter. He is paid $20.00 per day, plus $5.50 per table served, x. On Friday, Antonio earned $157.50. Which equation can be used to determine how many tables Antonio served on Friday?

Answers

The required equation used to determine how many tables Antonio served on Friday is 157.50 = 20 + 5.5x.

What are equation models?

The equation model is defined as the model of the given situation in the form of an equation using variables and constants.

Here,
Antonio has a job as a waiter. He is paid $20.00 per day, plus $5.50 per table served, x.
Let the total earnings of Antonia for a day be y,
According to the question,
y = 20 + 5.5x

Now,
Antonio earned $157.50 on Friday.
157.50 = 20 + 5.5x

Thus, the required equation used to determine how many tables Antonio served on Friday is 157.50 = 20 + 5.5x.

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Answer:

He served 25 tables

Step-by-step explanation:

Do..

£157.50 - £20 (as he gets this daily) = £137.50

£137.50 ÷ £5.50 = number of tables he served = 25 tables

Hope this helped

Find the coordinates of the point 3/10 of the way from A to B.

Answers

Final answer:

To find a point that is 3/10 of the way from point A to B, we scale the vector from A to B by 0.3. To find the x and y coordinates of this point, we use the formula X = x1 + 0.3 * (x2 - x1) and Y = y1 + 0.3 * (y2 - y1) respectively.

Explanation:

The question asks us to find the coordinates of a point that is 3/10 (or 30%) of the way from point A to B. This involves using the idea of vector addition and scalar multiplication in mathematics.

Let's represent the journey from point A to B as the vector AB. You can consider vector AB to be generated by some coordinates (x1, y1) at point A and some (x2, y2) at point B. If we are trying to locate a point that is 3/10 along the way from A to B, it is like scaling the vector AB by 0.3 (3/10).

To find the x and y coordinates of that point, we would calculate it as follows:

  • X-coordinate = x1 + 0.3 * (x2 - x1)
  • Y-coordinate = y1 + 0.3 * (y2 - y1)

As a result, by substituting the coordinates of point A and B into these equations, we can find the coordinates of the point that is 3/10 of the way from point A to B.

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Final answer:

To find the coordinates of a point 3/10 of the way from point A to point B, we can use the concept of midpoint formula. The coordinates of A are (11,7) and the coordinates of B are (-3,-6). Using the midpoint formula, we can calculate the coordinates of the desired point are (6.8, 3.1).

Explanation:

To find the coordinates of a point that is 3/10 of the way from point A to point B, we can use the concept of midpoint formula. The midpoint formula states that the coordinates of the midpoint between two points (x1, y1) and (x2, y2) can be found by taking the average of the x-coordinates and the average of the y-coordinates. In this case, the coordinates of A are (11,7) and the coordinates of B are (-3,-6). So, we can find the coordinates of the point 3/10 of the way from A to B by taking 3/10 of the difference between the x-coordinates and adding it to the x-coordinate of A, and taking 3/10 of the difference between the y-coordinates and adding it to the y-coordinate of A. Let's calculate it step by step:

x-coordinate: (3/10)(-3 - 11) + 11 = (3/10)(-14) + 11 = -4.2 + 11 = 6.8

y-coordinate: (3/10)(-6 - 7) + 7 = (3/10)(-13) + 7 = -3.9 + 7 = 3.1

So, the coordinates of the point that is 3/10 of the way from A to B are (6.8, 3.1).

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PLEASE HELP!A farmer wanted to paint a shed out in his field. Here is the breakdown of the dimensions: the building is sitting on a square slab of cement that is 10' x 10'. It is 8 feet from the bottom of the shed to the bottom of the roof on the edge, and 10 feet from the bottom of the shed to the top of the very tip top of the roof. So A = 10, B = 8 and C = 10. Using the formula for the area of a rectangle, A = l x w and the area of a triangle, 1/2(bh), b is base and h is height, then find the total area that needs to be painted. Total area =

Answers

Answer:

  340 square feet

Step-by-step explanation:

If we "unwrap" the painted surface from the shed, it will have the shape shown in the attachment. It is essentially a 40' by 8' rectangle with two 10' wide by 2' high triangles added.

The rectangle area is ...

  A = LW = (40 ft)(8 ft) = 320 ft²

The total area of the two triangles is ...

  A = 2(1/2)bh = (10 ft)(2 ft) = 20 ft²

Then the painted area is ...

  total area = 320 ft² +20 ft²

  total area = 340 ft²

A three-digit number has two properties. The tens-digit and the ones-digit add up to 5. If the number is written with the digits in the reverse order, and then subtracted from the original number, the result is 792. Use a system of equations to nd all of the three-digit numbers with these properties

Answers

Answer:

The three-digit numbers with these properties are 850 or 941.

Step-by-step explanation:

Let x be the hundreds digit, y the tens digit, and z the ones digit. The first condition says that y+z=5. The second condition is:

the original number is (100x+10y+z) while the reversed number is (100z+10y+x) so

(100x+10y+z)-(100z+10y+x)=792\n99x-99z=792

Now we have the system

y+z=5\n 99x-99z=792

You can divide by 99 to simplify the second equation.

y+z=5\n x-z=8

Note that x, y, z must be digits between 0 and 9 and x\neq 0. If z>1, then the second equation forces x>9, for example z=2 so x-2=8, x=10 which is impossible. If z=0, you get x=8, y=5 and the number is 850. If z=1, you get x=9,y=4 and the number is 941.

0.78 of air is nitrogen and 0.93% is argon. Is there more nitrogen or argon in air?

Answers

There is more argon in the air.