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DIA [1.3K]
3 years ago
9

Use one or more properties to rewrite each expression as an expression that does not use parentheses.

Mathematics
1 answer:
maria [59]3 years ago
4 0

Answer:

b + 9

Step-by-step explanation:

Given:

(b + 3) + 6

Required:

Rewrite expression without the parentheses.

SOLUTION:

(b + 3) + 6

Eliminate the parentheses

b + 3 + 6

Add like terms

b + 9

Thus:

(b + 3) + 6 = b + 9

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The volume of a rectangular prism is 270 cubic centimeters the height of the prism is 5 centimeters. What could the length and w
kotegsom [21]

Answer:

The answer to your question is below

Step-by-step explanation:

Data

Volume = 270 cm³

height = 5 cm

length = ?

width = ?

Formula

Volume of a rectangular prism = height x length x width

- Solve for Area of the base (height x length)

Area of the base = Volume / height

-Substitution

Area of the base = 270 / 5

-Result

Area of the base = 54 m²

2.- Find the prime factors of 54

                    54   2

                    27   3

                      9   3

                      3   3

                       1

3.- The possible values of the sidas of the rectangle are:

Combining the prime factor of 54.

              Length                        Width

              2 x 3 = 6           and    3 x 3 = 9

or            2 x 3 x 3 = 18   and    3 x 1 = 3

or            3 x 3 x 3 = 27  and     2 x 1 = 2

6 0
3 years ago
What is the perpendicular slope to 6/-3
IRISSAK [1]

Answer:

Perpendicular slope is \frac{3}{6} or \frac{1}{2}.

Step-by-step explanation:

Given:

Let the perpendicular slope be x.

The given slope is \frac{6}{-3}

For perpendicular slopes, the product of the slopes is equal to -1.

Therefore, x\times \frac{6}{-3}=-1\\-\frac{6}{3}x=-1\\6x=3\\x=\frac{3}{6}=\frac{1}{2}

Therefore, the perpendicular slope is \frac{3}{6} or \frac{1}{2}.

8 0
3 years ago
A cat is stuck in a tree. A firefighters 15-foot ladder is the leaning against a tree. The ladder and the ground form a 62° angl
artcher [175]
To solve this problem you must apply the proccedure shown below:

 1. You have:

 Sinα=opposite/hypotenuse

 α=62°
 opposite=x
 hypotenuse=15 ft

 2. When you substitute the values into  Sinα=opposite/hypotenuse, you obtain:

 Sinα=opposite/hypotenuse
 Sin(62°)=x/15

 3. You must clear "x", as below:

 x=(15)(Sin(62°))
 x=13.24 ft

 The answer is. 13.24 ft
 
5 0
3 years ago
18 subtracted from a number is 35
kogti [31]
X - 18 = 35. 53 is x, since 53 - 18 = 35.
3 0
3 years ago
Read 2 more answers
Find the geometric mean of the pair of numbers
Svetach [21]

Answer: a. 55

Step-by-step explanation:

The formula to find the geometeric mean between two numbers a and b is given by :-

G.M. =\sqrt{ab}

The given numbers are : 275 and 11

The geometric mean of 275 and 11 is given by :-

G.M.=\sqrt{275\times11}\\\\\Rightarrow\ G.M. =\sqrt{3025}\\\\\Rightarrow\ G.M.=\sqrt{55\times55}\\\\\Rightarrow\ G.M.=\sqrt{55^2}\\\\\Rightarrow\ G.M.=55

Hence, the geometric mean of 275 and 11 is 55.

So , the correct option is a. 55 .

4 0
3 years ago
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