We can split this polygon into a square and rectangle.
Notice how two sides have a line going through it. That means that they have the same length. To solve for the square we can multiply:
5 * 5 = 25ft²
To solve for the rectangle we can subtract:
12 - 5 = 7ft²
Then multiply,
20 * 7 = 140ft²
To solve for the total area of the polygon we can add:
140 + 25 = 165ft²
Thus, the correct answer is 165ft.²
Best of Luck!
Answer:
i. 15, 18, 20, 20, 25
ii.
a) 19.6
b) 20
c) 20
d) 10
Step-by-step explanation:
Based on the information given, it should be noted that the least number of marbles that can be in the bag will be 10 marbles.
<h2>
Solution to the probability.</h2>
If the bag contains 60 marbles, the number of red marbles will be:
= 1/5 × 60
= 12 marbles.
The number of white marbles will be:
= 3/10 × 60
= 18 marbles.
The number of blue marbles will be:
= 60 - (12 + 18)
= 60 - 30
= 30 marbles.
Furthermore, when the bag has 4 red marbles and 6 white marbles, there'll be 10 blue marbles.
Lastly, to find the probability of choosing a blue marble, we've to multiply 1/2 by the number given.
Learn more about probability on:
brainly.com/question/25870256
The final product is 18x⁴y⁵ - 48x²y⁵+12x³y⁷+24x²y⁸
<h3>
What is a product ?</h3>
The product is result obtained when a number or an expression is multiplied by the other number.
The product of the given expression
6x²y⁵ and 3x²-8x+2xy²+4y³
6x²y⁵ (3x²-8x+2xy²+4y³)
Step 1 : To multiply each term in the bracket with the other expression
out of the bracket
6*3*x²*y⁵*x² - 6*8*x²*y⁵ +6x²y⁵ *2*x*y² + 6*4*x²y⁵ *y³
Step 2 : The like variables will be solved
18x⁴y⁵ - 48x²y⁵+12x³y⁷+24x²y⁸
This is the final product
To know more about the product
brainly.com/question/17765678
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Answer:

Step-by-step explanation:
Let
x ----> the length of the third side of triangle in Lauren's sculpture
we know that
The <u><em>Triangle Inequality Theorem</em></u> states that the sum of any 2 sides of a triangle must be greater than the measure of the third side
Applying the Triangle inequality Theorem
1) 

Rewrite

2) 

therefore
The possible values of x are
