Answer:
C.
Step-by-step explanation:
The relationship is proportion if y/x is constant.
So it is C because 12/4 = 15/5 = 18/6 = 3.
Answer:
x = - 2 or x = 4
Step-by-step explanation:
the expression inside the absolute value can be positive or negative
Removing the bars and solve x - 1 = ± 3
x - 1 = - 3 or x - 1 = 3
x - 1 = - 3 ( add 1 to both sides ) ⇒ x = - 2
x - 1 = 3 ( add 1 to both sides ) ⇒ x = 4
<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.
Answer:
at least four times bigger
First you need to find the 3rd angle of the triangle
180 - 86 - 46 = 48
and then subtract the answer by 180 (because it’s a straight line)
180 - 48 = 132
so 132
