Answer:
Step-by-step explanation:
Exponent Rules:
Exponent Rules:
Step 1: Write expression
Step 2: Rewrite radical
Step 3: Multiply powers (numerator)
Step 4: Subtract powers
Ross has a spinner that is split into eight equal sections numbered 1 through 8. He spun the spinner 1,104 times. Which of the f
2 answers:
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Answer:
A) The height of the trapezoid is 6.5 centimeters.
B) We used an algebraic approach to to solve the formula for .
C) The length of the other base of the trapezoid is 20 centimeters.
D) We can find their lengths as both have the same length and number of variable is reduced to one, from and
to
.
Step-by-step explanation:
A) The formula for the area of a trapezoid is:
(Eq. 1)
Where:
- Height of the trapezoid, measured in centimeters.
,
- Lengths fo the bases, measured in centimeters.
- Area of the trapezoid, measured in square centimeters.
We proceed to clear the height of the trapezoid:
1) Given.
2) Definition of division.
3) Compatibility with multiplication/Commutative and associative properties.
4) Existence of multiplicative inverse/Modulative property/Definition of division/Result
If we know that ,
and
, then height of the trapezoid is:
The height of the trapezoid is 6.5 centimeters.
B) We should follow this procedure to solve the formula for :
1) Given.
2) Definition of division.
3) Compatibility with multiplication/Commutative and associative properties.
4) Existence of multiplicative inverse/Modulative property
5) Definition of division/Compatibility with addition/Commutative and associative properties
6) Existence of additive inverse/Definition of subtraction/Modulative property/Result.
We used an algebraic approach to to solve the formula for .
C) We can use the result found in B) to determine the length of the remaining base of the trapezoid: (,
and
)
The length of the other base of the trapezoid is 20 centimeters.
D) Yes, we can find their lengths as both have the same length and number of variable is reduced to one, from and
to
. Now we present the procedure to clear
below:
1) Given.
2) Given.
3) 2) in 1)
4) Definition of division.
5) Commutative and associative properties/Compatibility with multiplication.
6) Existence of multiplicative inverse/Modulative property.
7) Definition of division/Result.
