Answer:
(2 x +1) ( x + 1) = 2 x² + 3 x + 1
Step-by-step explanation:
The steops used to find the product of (2 x + 1) (x + 1) are
=( 2 x )× x + (2 x) × 1 + x + 1
= 2 x² + 2 x + x + 1
= 2 x² + 3 x + 1
Your answer would be 4 over x to the sixth which would look like this
4
_
x^6
the ^ symbol means it’s an exponent
120º is 1/3 of a complete revolution of 360º. So the area of this sector should be 1/3 the area of the complete circle.
A circle with radius 9 has area 9^2 π = 81π.
So the sector has area 81π/3.
Put another way: The area <em>A</em> of a circular sector and its central angle <em>θ</em> (in degrees) occur in the same ratio as the area of the entire circle with radius <em>r</em> according to
<em>A</em> / <em>θ </em>º = (π <em>r </em>^2) / 360º
==> <em>A</em> = π/360 <em>θ r</em> ^2
In this case, <em>r</em> = 9 and <em>θ</em> = 120º, so
<em>A</em> = π/360 * 120 * 81 = 81π/3
Sammy is the tallest one because he is 4.667 feet tall
Answer:
<em>We </em><em>know </em><em>that </em><em>exterior </em><em>angle </em><em>of </em><em>a </em><em>triangle </em><em>is </em><em>equal </em><em>to </em><em>the </em><em>sum </em><em>of </em><em>two </em><em>opposite </em><em>interior </em><em>angle</em><em>.</em>
Step-by-step explanation:
<A = 4y
< B = 3y + 6°
<BCD = 111°
Now
<BCD = <A + <B( exterior angle of a triangle is equal to the sum of two opposite interior angle)
111° = 4y + 3y + 6°
111° - 6° = 7y
105° =7y
Therefore y = 15°
The measure of <A = 4*15°= 60°
