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2 years ago

When is the product of two integers less than or eqaul to both of two factors

Mathematics

1 answer:

Mars2501 [29]2 years ago

7 0

Answer:

The answer is only less than when the numbers are negative. And can only be equal to both if the equation is 1×1

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A closed can, in a shape of a circular, is to contain 500cm^3 of liquid when full. The cylinder, radius r cm and height h cm, is

Gemiola [76]

To express the height as a function of the volume and the radius, we are going to use the volume formula for a cylinder: $V= \pi r^2h$
where
$V$ is the volume
$r$ is the radius
$h$ is the height

We know for our problem that the cylindrical can is to contain 500cm^3 when full, so the volume of our cylinder is 500cm^3. In other words: $V=500cm^3$ . We also know that the radius is r cm and height is h cm, so $r=rcm$ and $h=hcm$ . Lets replace the values in our formula:
$V= \pi r^2h$
$500cm^3= \pi (rcm^2)(hcm)$
$500cm^3=h \pi r^2cm^3$
$h= \frac{500cm^3}{ \pi r^2cm^3}$
$h= \frac{500}{ \pi r^2}$

Next, we are going to use the formula for the area of a cylinder: $A=2 \pi rh+2 \pi r^2$
where
$A$ is the area
$r$ is the radius
$h$ is the height

We know from our previous calculation that $h= \frac{500}{ \pi r^2}$ , so lets replace that value in our area formula:
$A=2 \pi rh+2 \pi r^2$
$A=2 \pi r(\frac{500}{ \pi r^2})+2 \pi r^2$
$A= \frac{1000}{r} +2 \pi r^2$
By the commutative property of addition, we can conclude that:
$A=2 \pi r^2+\frac{1000}{r}$

7 0

2 years ago

On a map. 1 inch equals 15 miles. Two cities are 6 inches apart on the map. What is the actual distance between the cities?

WARRIOR [948]

Answer:

90 miles

Step-by-step explanation:

The person who answered first explained it well, so I dont have to.

have a nice day :)

5 0

2 years ago

What are the greatest commom factor of 2x2x3x5 and 2x3x3x5

butalik [34]

Answer:

$\huge \bold \purple{answer}$

The greatest common factor of 2x2x3x5 and 2x3x3x5 is 2x3x5

8 0

2 years ago

Read 2 more answers

Worth 2 marks and I need it urgently pls

melisa1 [442]

4c6d3 x 3c4d

4 x 3=12
12c
you add the powers so 6+4=10
12c10
d3 x d=d3
12c10d3

that is the answer i think

4 0

2 years ago

What is the Line that passes through (2,0) and (0,1)

zimovet [89]

To find the slope you use the equation:

m = (y₂-y₁) ÷ (x₂-x₁)

You plug in the two points into this equation to find m (m is the slope)

m = (1 - 0) ÷ (0 - 2)

m = 1 ÷ (-2)

m = - 1/2

Next you use this equation:

y = mx + b

Because you know m you plug it in.

y = -1/2x + b

Now you need to find b. To do so you plug in either of the points into this equation(you come out with the same answer for b)

y = -1/2x + b

1 = -1/2(0) + b

1 = b

Finally you plug in b and you get your new equation.

y = -1/2x + 1

3 0

2 years ago

Read 2 more answers

When is the product of two integers less than or eqaul to both of two factors​

When is the product of two integers less than or eqaul to both of two factors