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2 years ago

12

Which number is rational? Ο Α. π Ο Β. εξ Ο c. 0.777... Ο D. 0.36458121...

1 answer:

Levart [38]2 years ago

8 0

Step-by-step explanation:

0.777... is rational since it can be put in fraction form which is 7/9

note: if something can be put as an integer/integer its rational

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Distance time and speed

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It traveled 80 meters during the entire trip.
It took 8 seconds
Speed = distance / time
80 / 8 = 10

22) 80 meters
23) 8 seconds
24) 10 m/s

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3 years ago

1.06g - 3 = 0.71 I need this answer

Arte-miy333 [17]

<span>Simplifying 1.06g + -3 = 0.71 Reorder the terms: -3 + 1.06g = 0.71 Solving -3 + 1.06g = 0.71 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 1.06g = 0.71 + 3 Combine like terms: -3 + 3 = 0 0 + 1.06g = 0.71 + 3 1.06g = 0.71 + 3 Combine like terms: 0.71 + 3 = 3.71 1.06g = 3.71 Divide each side by '1.06'. g = 3.5 Simplifying g = 3.5</span>

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3 years ago

Read 2 more answers

Carmen has 75% less money than Anna. How much money does Carmen have if Anna has 256? pls with the even multiple method i will g

Pachacha [2.7K]

Answer:

192

Step-by-step explanation:

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3 years ago

Pam has 90 m of fencing to enclose an area in a petting zoo with two dividers to separate three types of young animals. The thre

andrew-mc [135]

Answer:

The area function is

$A=\frac{135}{2}x-\frac{9}{2}x^2$ .

The domain and range of A is $(0,15m)$ and $(0, 253.125 m^2]$ .

Step-by-step explanation:

The given length of fencing is $90 m$ .

Let the length and width of each pen be $x$ and $y$ respectively as shown in the figure.

As there are 3 pens, so, the total area,

$A= 3 xy \;\cdots (i)$

From the figure the total length of fencing is $6x+4y$ .

Here, for a significant area for the animals, $x>0$ as well as $y>0$ as $x$ and $y$ are the sides of ben.

From the given value:

$6x+4y=90\;\cdots (ii)$

$\Rightarrow y=\frac {45}{2}-\frac{3x}{2}$

Now, from equation (i)

$A=3x\left(\frac {45}{2}-\frac{3x}{2}\right)$

$\Rightarrow A=\frac{135}{2}x-\frac{9}{2}x^2\;\cdots (iii)$

This is the required area function in the terms of variable $x$ .

For the domain of area function, from equation (ii)

$x=15-\frac{2y}{3}$

$\Rightarrow x$ [as y>0]

So, the domain of area function is $(0,15m)$ .

For the range of area function:

As $x \rightarrow 0$ or $y\rightarrow 0$ , then $A\rightarrow 0$ [from equation (i)]

$\Rightarrow A>0$

Now, differentiate the area function with respect to $x$ .

$\frac {dA}{dx}=\frac{135}{2}-9x$

Equate $\frac {dA}{dx}$ to zero to get the extremum point.

$\frac {dA}{dx}=0$

$\Rightarrow \frac{135}{2}-9x=0$

$\Rightarrow x=\frac{15}{2}$

Check this point by double differentiation

$\frac {d^2A}{dx^2}=-9$

As, $\frac {d^2A}{dx^2}$ , so, point $x=\frac{15}{2}$ is corresponding to maxima.

Put this value back to equation (iii) to get the maximum value of area function. We have

$A=\frac{135}{2}\times \frac {15}{2}-\frac{9}{2}\times \left(\frac {15}{2}\right)^2$

$\Rightarrow A=253.125 m^2$

Hence, the range of area function is $(0, 253.125 m^2]$ .

4 0

4 years ago

Which of the following is the right algerbraic expression??

Sliva [168]

Answer:

A

Step-by-step explanation:

Area of rectangle = l x w
A = ac

Area of circle = πr^2

r = d/2 = b/2

b = semicircle = half of normal circle

A = π $\frac{b^{2} }{2}$ + ac

4 0

2 years ago