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8090 [49]
3 years ago
8

I need to find the area of the shaded region, but I need detailed steps

Mathematics
1 answer:
olasank [31]3 years ago
7 0
The shaded region is a parallelogram.

The formula for the area of any parallelogram is A=bh.

The base of the parallelogram is 2 meters long (given).

The height of the parallelogram is 9 meters (do not be fooled by the unnecessary information of 14 meters)
The height is 9 meters because the height has to be perpendicular to the base. Thus, the side length must be 9 meters.

Multiply them together.

2 \times 9 = 18

The area of the parallelogram is 18 square meters.
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There are 53 regular pencils in the box and some colored pencils in the box. There are a total of 84 pencils. How many colored p
vodka [1.7K]

Let be "x" the number of colored pencils in the box.

According to the information given in the exercise, there are 84 pencils in the box and 53 of them are regular pencils.

Knowing this information, you can set up the following equation:

x+53=84

Finally, you have to solve for the variable "x" in order to find its value. In order to do this, you can apply the Subtraction property of equality by subtracting 53 from both sides of the equation:

\begin{gathered} x+53-(53)=84-(53) \\ x=31 \end{gathered}

The answer is: There are 31 colored pencils in the box.

7 0
1 year ago
What is the fully factored form of the expression 16x^2 - 49y^2
podryga [215]

Answer:

(4x + 7y)(4x - 7y)

Step-by-step explanation:

Rewrite 16 as 4^2

= 4^2x^2 - 49y^2

Rewrite 49 as 7^2

= 4^2x^2 - 7^2y^2

Apply the Exponent Rule Pt 1  ((a^m*b^m =(ab)^m))

= (4x)^2 - 7^2y^2

Apply the Exponent Rule Pt 2

= (4x)^2 - (7y)^2

Apply Difference of Squares Formula (( x^2-y^2 = (x + y)(x - y)

= (4x + 7y) (4x - 7y)

6 0
3 years ago
The is 12,000ft what the diameter
crimeas [40]
6,00 ft is the diameter
4 0
3 years ago
65% of the workers are women. If 980 people work for the company who
rosijanka [135]

637 is the answer because our value is 980 we all know the unknown value with x for the step above 980 and 100% and 65% is the result in a pair of a simple equations

8 0
3 years ago
7z - 3 + 2z = 33<br>What is 7?
Paladinen [302]
A constant because it a number
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3 years ago
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