To find the hypotenuse in a 45-45-90 triangle multiply the legs by

So...
The leg is 12 the hypotenuse is 12
3 is less than 5, so rounded to the nearest ten is 360.
6 is greater than 5, so rounded to the nearest hundred, our answer is 400.
A.
5 * 2 = 10
8 * 2 = 16
10 cm by 16 cm is the new dimensions. Area = 160 sq cm. Perimeter = 52 cm.
B.
5 * 3 = 15
8 * 3 = 24
15 cm by 24 cm is the new dimensions. Area = 360 sq cm. Perimeter = 78 cm.
C.
The areas for the different sized photos both still maintain a ratio of 5:8 cm.
Answer:
see explanation
Step-by-step explanation:
I don't have graphing facilities but can give you the vertex and 1 other point.
Given a parabola in standard form
y = ax² + bx + c ( a ≠ 0 )
Then the x- coordinate of the vertex is
x = - 
y = - x² - 2x + 8 ← is in standard form
with a = - 1 and b = - 2 , then
x = -
= - 1
Substitute x = - 1 into the equation for corresponding value of y
y = - (- 1)² - 2(- 1) + 8 = - 1 + 2 + 8 = 9
vertex = (- 1, 9 )
To obtain another point substitute any value for x into the equation
x = 0 : y = 0 - 0 + 8 , then (0, 8 ) is a point on the graph
x = 2 : y = - (2)² - 2(2) + 8 = - 4 - 4 + 8 = 0 then (2, 0 ) is a point on the graph
The approximate side length of a square game board with an
area of 184 in^2 is 14 inches
<h3>Area of a square</h3>
The formula for calculating the area of a square is expressed as;
A = l^2
where
l is the side length of a square
Given the following parameters
A = 184 square inches
Substitute
184 l^2
l = √184
l = 13.56
Hence the approximate side length of a square game board with an
area of 184 in^2 is 14 inches
Learn more on area of a square here: brainly.com/question/25092270
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