Answer:
30.7 ft
Step-by-step explanation:
<em>An equilateral triangle with area 43.5 has a height of 8.68 not 8.5</em>
<em>I will do the problem as written even though it is not a possible equilateral triangle</em>
<em>---------------------------------------------</em>
a = (1/2)bh
43.5 = (1/2)b(8.5)
43.5 = 4.25b
b = 43.5/4.25
b = 10.2352941176
-----------------------
p = 3b
p = 3 * 10.2352941176
p = 30.7058823528
~ 30.7 ft
Answer:

Step-by-step explanation:
Given the quadratic function

we have to find the leading coefficient of given quadratic equation.

The coefficient of
i.e a is known as the leading coefficient.
Comparing given equation with the standard equation, we get
a=-2

Answer:
The measure of the angles are 61° and 119°
Step-by-step explanation:
Let the first angle = x°
let the second angle = y°
The sum of two supplementary angles = 180°
x° + y° = 180° ----- equation (1)
based on the given question; "the difference of two supplementary angles is 58 degrees."
x° - y° = 58° ------- equation (2)
from equation (2), x° = 58° + y°
Substitute the value of x into equation (1)
(58° + y°) + y° = 180°
58 + 2y = 180
2y = 180 -58
2y = 122
y = 122 / 2
y = 61°
The second angle is given by;
x° = 58° + y°
x = 58° + 61°
x = 119°
Thus, the measure of the angles are 61° and 119°
The greatest common factor is 12 because 12 times 3 is 36 and 12 times 7 is 84.
Hope this helps! :)
Answer:
Option C: $30 is the original price of book.
Step-by-step explanation:
Let the original price of book be x
Given that:
Sale price = x - 40% of x
As it is given that the sale price was $18
So,
$18 = x - 40% of x
By simplifying:
$18 = x - 0.4x
$18 = 0.6x
Dividing both sides by 0.6:
x = $18/0.6
x = $ 30
So the original price of book will be $30
i hope it will help you!