Answer:
The height is 4.472
Step-by-step explanation:
That formula is Heron's formula.
Where "s" is calculated like this:
s = (a + b + c) / 2
In this case:
a = 14
b = 12
c = 6
replacing:
s = (14 + 12 + 6) / 2
s = 16
Now we calculate the area:
A ^ 2 = 16 * (16−14) * (16−12) * (16−6)
A ^ 2 = 1280
A = 35.777
The area of the triangle is:
A = b * h / 2
In this case we will take the base as the longest side of the triangle, that is to say = 14
Thus:
h = A * 2 / b
h = 35.777 * 2/16
h = 4.472
So the height is 4.472
X= original $
Original $ - % of original $= total $
x - 15%x= $22.10
x- 0.15= 22.10
Combine like terms
0.85x= 22.10
Divide both sides by 0.85
x= $26 original price
Hope this helps! :)
Answer:
25 minutes
Step-by-step explanation: 20 divided by 8 equals 2.5 so she take 2 and a half minutes per question. 2.5 plus 2.5 equals 5 so just add five minutes on her original time. 25 minutes
Answer:
x = 13
Step-by-step explanation:
using the Pythagorean theorem
x² = 85² - 84²
x² = 7225 - 7056 = 169
x = 13
Answer:
a = 70°, b = 140°
Step-by-step explanation:
use alternate interior angles
The interior angles of a straight line are 180°
a = 180°-110° = 70°
b = 180°-40° = 140°
//I'm sorry, but I'm not very fluent in English.
