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3 years ago

Is the square root of 48 a rational number?

Mathematics

1 answer:

Gala2k [10]3 years ago

5 0

No. √48 = √16√3 = 4√3. √3 is not a rational number, so neither is √48

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Given the diagram below, which pair of lines

Olenka [21]

Answer:

Step-by-step explanation:

3 0

3 years ago

Need math help (last one wouldn't let me upload pic)

Scrat [10]

Answer:

$\text{Area of the figure}=54\text{ unit}^2$

Step-by-step explanation:

Please find the attachment.

Let us divide our given image in several parts and then we will find area of different parts.

First of all let us find the area of our red rectangle with side lengths 6 units and 7 units.

$\text{Area of rectangle}=\text{Length*Width}$

$\text{Area of red rectangle part}=6\text{ units}\times 7\text{ units}$

$\text{Area of red rectangle part}=42\text{ units}^2$

Now let us find area of yellow triangle on the top of red rectangle. We can see that base of triangle is 6 units and height is 1 unit.

$\text{Area of triangle}=\frac{1}{2}\times \text{Base*Height}$

$\text{Area of triangle}=\frac{1}{2}\times \text{6 units *1 unit}$

$\text{Area of triangle}=3\text{ unit}^2$

Let us find the area of green triangle.

$\text{Area of green triangle}=\frac{1}{2}\times \text{3 units *2 units}$

$\text{Area of green triangle}=3\text{ unit}^2$

Now we will find the area of blue triangle, whose base is 6 units and height is 2 units.

$\text{Area of blue triangle}=\frac{1}{2}\times \text{6 units *2 units}$

$\text{Area of blue triangle}=6\text{ units}^2$

Let us add all these areas to find the area of our figure.

$\text{Area of the figure}=42\text{ units}^2+3\text{ unit}^2+3\text{ unit}^2+6\text{ unit}^2$

$\text{Area of the figure}=(42+3+3+6)\text{ unit}^2$

$\text{Area of the figure}=54\text{ unit}^2$

Therefore, area of our given figure is 54 square units.

3 0

3 years ago

Zero of the functions f(x)= x^2 + 4x+3 and why ?

slava [35]

There are two zeros: -3 and -1. This is because when you factor f(x)= x^2 + 4x + 3, it becomes f(x) = (x + 3)(x + 1). In order to find the zeros, set f(x) to 0, and then solve for x for both (x + 3) and (x + 1). You can check your answer by substituting either -3 or -1 for x in the equation 0 = x^2 + 4x + 3.

6 0

3 years ago

Gina is training for a marathon. She ran 4.6 miles on Friday and 6.75 miles on Saturday. On Sunday, she ran 13 miles. How much f

navik [9.2K]

Answer:

1.65

Step-by-step explanation:

First you need to find the sun of 4.6 and 6.75, you should do this because it is asking for the two numbers combined. When you add these two numbers, you get 11.35

Now you need to subtract 13 and 11.35 because it wants to know how much father she ran on Saturday than friday, signaling subtraction. When you subtract 13-11.35 you should get 1.65

4 0

3 years ago

Find the equation of the line. Use exact numbers. Y=“blank”x+ “blank”

Sphinxa [80]

Answer:

y=mx+b

b= y intercept

mx=slope

First lets find the y intercept = the y intercept is 3

Now lets find the slope = the slope is 3x because each time it goes 3 up it goes one right

So the answer is y=3x+3

3 0

3 years ago