Answer:
In a word processing document or on a separate piece of paper, use the guide to construct a two-column proof proving that lines l and m are parallel.
We know that
• Lashonda purchased a prepaid phone card for $20.
,
• Long-distance calls cost 8 cents a minute.
,
• The remaining credit on her card is $17.12.
This problem can be expressed as
Where <em>x</em> is the number of minutes.
We solve the equation for <em>x</em>
Then, we divide by -0.08 the equation
<h2>Therefore, Lashonda's call last 36 minutes.</h2>
Answer:
36π
Step-by-step explanation:
d= 6 in
r= d/2=6/2= 3 in
volume of sphere= 4/3πr^3
=4/3 ×π×3^3
=36π in^3
<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.
Hope you could understand.
If you have any query, feel free to ask.
