Marcella would not be able to win the competition because the length of her string is 159.75 feet which is less than 162 feet need to win.
<h3>What is an equation?</h3>
An equation is an expression that shows the relationship between two or more numbers and variables.
Trigonometric ratio is used to show the relationship between the sides and angles of a right triangle.
Let l represent the length of the string, hence:
sin(28) = l / 75
l = 159.75 feet < 162 feet
Marcella would not be able to win the competition because the length of her string is 159.75 feet which is less than 162 feet need to win.
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The above question is a mathematical proof of the relationship between Lines and angles related to a Rhombus. See the proof below.
<h3>What is a Rhombus?</h3>
A Rhombus is a parallelogram with four sides (that is a quadrilateral). It's sides however are all of equal length.
<h3>What is the above proof?</h3>
- ∠DEC ≅ ∠BFC Reason = All Right Angles with Equal dimensions are congruent.
- ∠C ≅ ∠C Reason = It is the same angle for the two Right angles above which are congruent, hence Reflexive Property.
- Δ DEC ≅ Δ BFC Reason = Angle Angle Side. The triangles are said to be congruent when two angles and a non-included side of one triangle match the corresponding angles and sides of another triangle.
- ≅ Reason = The corresponding parts of congruent triangles are congruent. Also, it is a parallelogram with all congruent sides.
- ABCD is a Rhombus Reason = Its sides are all congruent.
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The solutions of the equation are
Explanation:
Given that the equation is
We need to determine the solutions of the equation.
Let us substitute and
Thus, the equation becomes,
Factoring the equation, we get;
Substituting back and solve for x.
First, we shall substitute
Thus, we get;
Similarly, substituting , we get;
Thus, the solutions of the equation are
Answer:
$11.31
Step-by-step explanation:
$14.50x .22= 3.19
$14.50- 3.19= 11.31