Which equivalent expression would you set up to verify the associative property of addition for (3x + 4) + ((5x2 – 1) + (2x + 6)
2 answers:
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Answer:
Area of regular pentagon is 238.95 square inches.
Step-by-step explanation:
Given a regular pentagon with side length of 11.8 inches and dotted line from center to middle of side of 8.1 inches.
we know a regular polygon divides into 5 congruent triangles.
Side of pentagon i.e base of one triangle is 11.8 inches.
Also, distance from center to middle of side which is height of triangle is 8.1 inches.
Area of 1 triangle=
=
= 47.79 sq inches.
Area of regular pentagon=area of 5 congruent triangles= =238.95 sq inches.
Answer:
If the sine of an angle equals to {2}/{5}, then the tangent of the angle could be:
<em>5. </em>
Step-by-step explanation:
- Imagine a triangle
- The sine of an angle is equal to the length of the opposite leg over the hypotenuse.
- <em>HINT: SOHCAHTOA</em>
<u>To find the adjacent leg (a): </u>
Using the pythagorean theorem:
- <em>a </em>and <em>b</em> are the lenght of the sides and <em>c </em>is the hypotenuse
we know one side and the hypotenuse. Therefore plugging into the formula we get:
where <em>a</em> is the adjacent leg of the triangle, solving for a we get:
<u>To find the tangent of the angle: </u>
Since tangent is opposite leg over the adjacent leg:
tan θ =