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2 years ago

Is the sum of 4.2 and square root of 2 rational or irrational

1 answer:

3 0

The sum of an irrational number and a rational one
is always irrational. There's nothing you can add to
an irrational number to make it behave better.

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The rectangular floor of restaurant is 56 feet in length and 40 feet in width . A scale drawing of the floor has a length of 7 i

Galina-37 [17]

Answer:

the answer is 320

Step-by-step explanation:

Because you gotta do length times width and then divide your answer by 7 and you get 320 inches .... I think

8 0

2 years ago

Suppose planet A's diameter is approximately 8 times planet B's and both bodies are spheres. What is the ratio of their volumes?

lana [24]

Answer:

The ratio of planet B's volume to planet A's volume is 1:512 or 1/512

Step-by-step explanation:

Volume of sphere = 4/3 π r^3

r = d/2

Radius of palnet A = 8/2 = 4

Radius of planet B = 1/2

Since 4/3 π is same in both volumes so, they cancel out when finding ratio.

Now ratio depends on radius cube of both planets

Volume of Planet B : Volume of Planet A

4/3 π(1/2)^3 : 4/3 π(4)^3

Cancelling 4/3 π on both sides

1/8 : 64

Multiply 8 on both sides

1 : 512

So, The ratio of planet B's volume to planet A's volume is 1:512 or 1/512

6 0

2 years ago

A rectangular plot of farmland will be bounded on one side by a river and on the other three sides by a single-strand electric

Murrr4er [49]

Answer:

$A = 781250\,m^{2}$ , $x = 625\,m$ , $y = 1250\,m$

Step-by-step explanation:

The perimeter covered by the electric fence in meters is:

$2\cdot x + y = 2500$

The area of the rectangle is:

$A = x\cdot y$

$A = x \cdot (2500-2\cdot x)$

Let differentiate the previous equation and equates to zero:

$2500-4\cdot x = 0$

The critical point is:

$x = 625\,m$

By the Second Derivative Text, it is proved that critical point lead to a maximum:

$\frac{d^{2}A}{dx^{2}} = -4$

The other side of the rectangle is:

$y = 1250\,m$

The largest area than can be enclosed is:

$A = (625\,m)\cdot (1250\,m)$

$A = 781250\,m^{2}$

The dimensions of the triangle are:

$x = 625\,m$

$y = 1250\,m$

3 0

2 years ago

I NEED HELP ☹️☹️!!!!!!

lianna [129]

Answer: 4/3x - 1 = y

7 0

2 years ago

Read 2 more answers

After taking 7 quizzes, your average is 77 out of 100. What must your average score be on the next five quizzes to increase your

Anna [14]

Answer:

89.

Step-by-step explanation:

We have been given that after taking 7 quizzes, your average is 77 out of 100. We are asked to find what average score be on the next five quizzes to increase your average to 82.

The total of 12 quizzes to get 82 would be $12\times 82=984$ .