To find the length of the side of a square when the area is known, find the square root of the area:
Side length = √729
Side Length = 27 feet.
Problem One
Find AM
AM = 71.5 - 22 = 49.5
Step Two
State the Givens.
AM = 49.5
MN = 71.5
MB = x
MP = 97.5
Step Three
Set up the Proportion
AM : NM :: x : PM
49.5 : 71.5 :: x : 97.5
Substitute and solve
49.5 / 71.5 = x / 97.5 Cross Multiply
49.5 * 97.5 = 71.5 * x Combine the numbers on the left.
4860.375 = 71.5 * x Divide by 71.5
4860.375 / 71.5 = x
x = 67.98
Problem Two
Remark
This is just a straight application of the Pythagorean Theorem
a^2 + b^2 = c^2
a = 10
b = 24
c = ??
10^2 + 24^2 = c^2
100 + 576 = c^2
676 = c^2
sqrt(c^2) = sqrt(676)
c = 26 <<<< answer
The function is updated by calculating the composite function h(f(c)), where f = 1.8c + 32
<h3>How to update the function?</h3>
The function is given as h(c)
Where
- c represents the temperature in Celsius
- h(c) represents the number of heat-stroke deaths per thousand people
When a temperature in Celsius is converted to Fahrenheit, the conversion equation is:
F = 1.8C + 32
This means that we update the function by calculating the composite function h(f(c)), where f = 1.8c + 32
<h3>How the graph would be transformed?</h3>
In (a), we have:
h(f(c)) and f = 1.8c + 32
Substitute f = 1.8c + 32 in h(f(c))
h(1.8c + 32)
The above means that:
- The graph would be vertically stretched by a factor of 1.8
- Then the graph would be shifted up by 32 units
Read more about function transformation at:
brainly.com/question/1548871
#SPJ1
Answer:
17 cm
Step-by-step explanation:
To find the perimeter of any figure, you must add all the side lengths. In a triangle, there are three side lengths to add, and in this case, they are 3 cm, 6 cm, and 8 cm long. So:
3 + 6 + 8 = 17 cm
∴, the triangle's perimeter is 17 cm.
