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3 years ago

Select the postulate that is illustrated for the real numbers.

Mathematics

2 answers:

Marysya12 [62]3 years ago

8 0

4. The Commutative postulate for addition. Hope this helped you :)

dezoksy [38]3 years ago

3 0

Answer: 4. Commutative postulate for addition

Step-by-step explanation:

The commutative postulate for addition says that for any real number a and b

a+b=b+a

It tells that order doesn't matter if we add two numbers , the answer will remain same

The given expression is $3 + 2 = 2 + 3$ , where 3 and 2 are real numbers.

Since

$3 + 2 =5\\2 + 3=5$

Therefore, $3 + 2 = 2 + 3$ by Commutative postulate for addition.

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See the picture below

nika2105 [10]

Answer:

Surface Area = 66.4 square centimeters

Volume = 31.52 cubic centimeters

Surface Area = 113.1 square centimeters

Volume = 113.1 cubic centimeters

Step-by-step explanation:

Surface area of pyramid is area of all the surfaces. There are 4 triangles with area 1/2 * base * height

Where base is 4 and height is 6.3

Area of 4 triangles = 4 * 1/2 * 4 * 6.3 = 50.4

And area of square which is base^2 = 4 ^ 2 = 16

Surface Area = 50.4 + 16 = 66.4 square centimeters

Volume of Pyramid is 1/3 * area of base * height

To find height, altitude, we can drop from vertex to middle bottom. Now we can create a right triangle with hypotenuse 6.3 and base 2 (half of the side 4 cm). The altitute (height) is the other leg.

Now we can use pythagorean theorem to find height:

height ^ 2 + 2 ^ 2 = 6.3 ^ 2

height^2 + 4 = 39.69

height^2 = 39.69 - 4

height^2 = 35.69

height = 5.97

Now, Volume of Pyramid = 1/3 * (4)^2 * 5.97 = 31.52 cubic centimeters

Surface area of sphere is given by:

Surface Area of Sphere = $4\pi r^2$

radius, r, is given as 3, so

Surface Area of Sphere = $4\pi(3)^2=113.1$ square centimeter

Volume of Sphere is given by $\frac{4}{3}\pi r^3$

We know radius is 3, so

Volume of Sphere = $\frac{4}{3}\pi (3)^3= 113.1$ cubic centimeters

*they are the same

4 0

3 years ago

In a class of 30 students, 13 have a brother and 8 have a sister. There are 3 students who have a brother and a sister. What is

Makovka662 [10]

Answer:

$P(sister) = \frac{8}{30} \\$

Step-by-step explanation:

$P(sister) = \frac{8}{30} \\ P(brother) = \frac{13}{30} \\ P(SnB) = \frac{3}{30} \\$

5 0

3 years ago

Max was on vacation twice as long as Jared and half as long as Wesley. The boys were on vacation a total of 3 weeks. How many da

GuDViN [60]

Lets say W=Wesley, M=Max, and J=Jared.
So your equations are M=2J, 2M=W, and M+J+W=21days(3 weeks)
So substituting M and W into M+J+W=21 gives you 2J+J+2M=21, substitute M again, to get 2J+J+4J=21 so you get 7J=21 so J= 3 days. Using J=3, substitute in to find M, using M=2J, so M=2(3) so M=6 and using that, substitute into 2M=W, so 2(6)=W so W=12. And 12+6+3=21 to check.

6 0

4 years ago

What is equivalent 2:5

Verdich [7]

Answer:

The fraction equivalent to 2:5 are

4:10

6:15

8:20 etc.

Equivalent fractions have the same value in the reduced form.

7 0

3 years ago

Five is sixteen more than five times a number Translate to an equation

3241004551 [841]

Answer:

Step-by-step explanation:

5 is 16 more then 5 times a number

let the number be x

5 = 5x + 16

4 0

3 years ago