Answer:
1623.80 m²
√3(1875/2) m²
Step-by-step explanation:
The area, A of a regular hexagon can be obtained using the relation :
A = √3(p²/24)
The perimeter, p = 150 m
Therefore,
A = √3(150²/24)
A = √3(22500/24)
A = √3(937.5)
A = 1623.7976
A = 1623.80 m²
A = √3(1875/2) m²
Answer: The width is 7 meters. The length is 10 meters.
Step-by-step explanation: Area = Length × width
Length is 2w - 4
Substitute that value for length, then solve for w.
70 = w(2w - 4)
70 = 2w² - 4w reorganize to quadratic equation form
2w² - 4w -70 = 0 These are All even numbers; factor out 2 (divide all by 2)
w² - 2w - 35 = 0 factor this
(w - 7)(w + 5) set each factor = 0 and calculate the value of w.
w+5=0 w= -5 (disregard this one because dimensions of real rectangles can't be negative)
w - 7 = 0 w = 7 <u>The width is 7</u>
Substitute into the original expressions to get the value of Length.
2(7) -4 = L 14 - 4 = L The<u> Length is 10.</u>
Check by substituting into the original equation:
w × 2w -4 = 70
7 × 2(7) -4 = 70
7 × 10 = 70 TRUE!
w
In y=kx , subst. -30 for x and 3 for y. Then solve the resulting equation for k:
3 = k(-30).
Dividing both sides by -30, we get:
-3/30 = -1/10 = k
The constant of proportionality is k = -1/10.
Answer:
0
Step-by-step explanation:
Using the sine rule:
We substitute the values to get:
We simplify to get:
But we know that the range of the sine function is [-1,1].
This means that, it is not possible to form a triangle with the given measures;
