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2 answers:
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Answer:
Width = 2
Length = 5
Step-by-step explanation:
let A be the area of the rectangle
L be the length of the rectangle
w be the width of the rectangle
<u><em>Formula</em></u>: ‘<u><em>area of a rectangle</em></u>’
A = L × w
…………………………………………………
A = L × w
⇔ 10 = (w + 3) × w
⇔ 10 = w² + 3w
⇔ w² + 3w - 10 = 0
<u><em>Solving the quadratic equation</em></u> w² + 3w - 10 = 0 :
Δ = 3² - 4(1)(-10) = 9 - (-40) = 9 + 40 = 49
then √Δ = 7
-5 is not valid ,because w represents the width
which must be a positive number
Then w = 2
<u><em>Conclusion</em></u>:
Width = 2
Length = 2 + 3 = 5
Answer: The approximate surface area of the larger pyramid is 159.31 ft².
Step-by-step explanation:
A pyramid is a solid,
And, When two solids are similar then the ratio of their surface area is the square of the scale factor of similarity.
Here, the scale factor of similarity
Thus, by the above property,
It is given that, the smaller pyramid has a surface area of 25.49 ft²,
The graph of the inequality y < -1
In the below, See the attachment
Given,
In the question:
The equation is :
y< -1
To graph the above equation:
What is graph explain?
Graph is a mathematical representation of a network and it describes the relationship between lines and points. A graph consists of some points and lines between them. The length of the lines and position of the points do not matter. Each object in a graph is called a node.
Now, According to the question:
y is less than -1
The graph will be :
In the below, See the attachment .
Learn more about Graph at:
#SPJ1
