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LiRa
1 month ago
15

Carmen is simplifying the expression (6.21 + 0.93) + 0.07 She recognizes that 0.93 and 0.07 will combine to equal 1, so she woul

d like to find that sum before she adds 6.21. Which property will allow Carmen to do this without changing the value of the expression?
Mathematics
2 answers:
AnnZ [12.3K]1 month ago
7 0
The expression becomes 6.21 + (0.93 + 0.07), utilizing the associative property.
Leona [12.6K]1 month ago
4 0
In this scenario, we have the expression: (6.21 + 0.93) + 0.07. By applying the associative property of addition, we can rewrite this expression. This property states that when you have three or more terms in addition, the outcome does not depend on how the terms are grouped. Thus, we have: 6.21 + (0.93 + 0.07).
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Please refer to the attached document for a comprehensive resolution and step-by-step explanation

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Find the perimeter of a quadrilateral with vertices at C (−2, 1), D (2, 4), E (5, 0), and F (1, −3). Round your answer to the ne
tester [12383]

Answer: 20 units

Step-by-step explanation:

The formula for calculating the distance between two coordinates P(a,b) and Q(c,d) is as follows:-

PQ=\sqrt{(d-b)^2+(c-a)^2}

Initially provided: The coordinates of the quadrilateral's vertices are C (−2, 1), D (2, 4), E (5, 0), and F (1, −3).

The distance between vertices C (−2, 1) and D (2, 4) is as follows:-

CD=\sqrt{(4-1)^2+(2-(-2))^2}\\\\\Rightarrow\ CD=\sqrt{(3)^2+(4)^2}\\\\\Rightarrow\ CD=\sqrt{9+16}=\sqrt{25}\\\\\Rightarrow\ CD=5\text{ units}

Distance between points D (2, 4) and E (5, 0) is calculated as:-

DE=\sqrt{(4-0)^2+(2-5)^2}\\\\\Rightarrow\ DE=\sqrt{(4)^2+(-3)^2}\\\\\Rightarrow\ DE=\sqrt{16+9}=\sqrt{25}\\\\\Rightarrow\ DE=5\text{ units}

Distance between coordinates E (5, 0) and F (1, −3) is given by:-

EF=\sqrt{(-3-0)^2+(1-5)^2}\\\\\Rightarrow\ EF=\sqrt{(-3)^2+(-4)^2}\\\\\Rightarrow\ EF=\sqrt{9+16}=\sqrt{25}\\\\\Rightarrow\ EF=5\text{ units}

Distance from C (−2, 1) to F (1, −3) is as follows:-

FC=\sqrt{(-3-1))^2+(1-(-2))^2}\\\\\Rightarrow\ FC=\sqrt{(-4)^2+(3)^2}\\\\\Rightarrow\ FC=\sqrt{16+9}=\sqrt{25}\\\\\Rightarrow\ FC=5\text{ units}

The total perimeter of the quadrilateral is calculated as = CD + DE + EF + FC

=5+5+5+5=20\text{ units}

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2 months ago
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