Heron's formula is named after Hero of Alexendria, a Greek Engineer and Mathematician in 10 - 70 AD. You can use this formula to find the area of a triangle using the 3 side lengths.
Therefore, you do not have to rely on the formula for area that uses base and height. The picture below illustrates the general fro mu la where S represents the semi-perimeter of the triangle ,
Answer:
the answer is C
Step-by-step explanation:
the y intercept is on the right, so (x, y)
and the third option has (4,8) so 8 is on the y
Answer: Ian's height = x+14 = 69+14 = 83 cm
Explanation :
Let the height of Jim be x
Let the height of Ian be x+4
Let the height of Lisa be x+4+10=x+14
Since their heights increase by 2cm every months
so after 7 months ,
Jim's height = x+14
Ian's height= x+4+14=x+18
Lisa's height= x+14+14=x+28
According to question,
Sum of Ian's and Jim's height = 170cm
⇒x = 
⇒ x= 69cm
∴ Ian's height = x+14 = 69+14 = 83 cm
Answer:
96feet
Step-by-step explanation:
Given the height, in inches, of a spray of water is given by the equation ℎ(x)=160−16x^2
x is the number of feet away from the sprinkler head the spray
To get the height of the spray 2 feet away from the sprinkler head, we will simply substitute x =2 into the function and et the height h as shown;
From the equation
ℎ(x)=160−16x^2
h(2) = 160-16(2)²
h(2) = 160-16(4)
h(2) = 160-64
h(2) = 96feet
Hence the height will be 96feet if the spray is 2feet away from the sprinklers head
[1]
A1 = (h (a + b)) / 2
A1 = (21 (17 + 32)) / 2
A1 = (21 x 49) / 2
A1 = 1,029 / 2
A1 = 514.5 mm²
[2]
A2 = (b x h) / 2
A2 = (11 x 9) / 2
A2 = 99 / 2
A2 = 49.5 mm²
[3]
The area of the shaded region =
A1 - A2 =
514.5 mm² - 49.5 mm² =
465 mm²
The answer is 465 mm².
