<h3>Given</h3>
1) Trapezoid BEAR with bases 11.5 and 6.5 and height 8.5, all in cm.
2) Regular pentagon PENTA with side lengths 9 m
<h3>Find</h3>
The area of each figure, rounded to the nearest integer
<h3>Solution</h3>
1) The area of a trapezoid is given by
... A = (1/2)(b1 +b2)h
... A = (1/2)(11.5 +6.5)·(8.5) = 76.5 ≈ 77
The area of BEAR is about 77 cm².
2) The conventional formula for the area of a regular polygon makes use of its perimeter and the length of the apothem. For an n-sided polygon with side length s, the perimeter is p = n·s. The length of the apothem is found using trigonometry to be a = (s/2)/tan(180°/n). Then the area is ...
... A = (1/2)ap
... A = (1/2)(s/(2tan(180°/n)))(ns)
... A = (n/4)s²/tan(180°/n)
We have a polygon with s=9 and n=5, so its area is
... A = (5/4)·9²/tan(36°) ≈ 139.36
The area of PENTA is about 139 m².
10⁶= 1 million= 1,000,000
10⁷=10 million= 10,000,000
145=10x-8x it’s A I’m pretty sure
Answer:
y + 5 = 2(x - 3)
General Formulas and Concepts:
<u>Algebra I</u>
Point-Slope Form: y - y₁ = m(x - x₁)
- x₁ - x coordinate
- y₁ - y coordinate
- m - slope
Step-by-step explanation:
<u>Step 1: Define</u>
Point (3, -5)
Slope <em>m</em> = 2
<u>Step 2: Write equation</u>
<em>Substitute in variables into the general form.</em>
y + 5 = 2(x - 3)
Answer:
The equation is
2.7x - 5.4
Step-by-step explanation:
Gas is priced at $2.70 per gallon. My gas tank has 2 gallons currently in the tank. Write an equation to how much
the money I will spend to fill up my tank.
Let the total gallons that would fill your tank = x
The tank currently has 2 gallons
A gallon =>$2.70
Therefore, our equation is
=(x - 2) × 2.70
= 2.7x - 5.4
