Answer:
x = 13
Step-by-step explanation:
Note that the side length x is opposite of the right angle, which means that it is the hypotenuse, which will usually be denoted as c.
Set the equation:
a² + b² = c²
let:
a = 5
b = 12
c = x
Plug in the corresponding numbers (& x) to the corresponding variables:
(5)² + (12)² = (x)²
Simplify. First, solve for the power, and then add:
x² = (5²) + (12²)
x² = (5 * 5) + (12 * 12)
x² = 25 + 144
x² = 169
Next, root both sides of the equation:
√x² = √169
x = √169 = √(13 * 13) = 13
x = 13
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Note the rules, and it should be easier:
30-60-90° = 1 , √3 , 2
45-45-90° = 1 , 1 , √2
Any other measurements use the equation: a² + b² = c²
F(2) = 20(1.25)^x
f(2) = 20(1.25)^2 - plug in 2 to x
f(2) = 20(1.5625) - calculate 1.25^2
f(2) = 31.25 - simplify
Answer: 5 and 4
Step-by-step explanation:
Perimeter = 2 ( L + W)
18 = 2(L + W) divide through by 2
9 = L + W
9 - L = W
Area = L * W
20 = L (9 - L)
20 = 9L - L^2
L^2 - 9L + 20 = 0 factor
(L - 5) (L - 4) = 0
Set both factors to 0 and solve for L
L = 5 and L = 4
Answer:
Step-by-step explanation:
we can write -9 instead of x and y=1 instead of 1
so we write solution again
-9a+1b=-31
-9a-1b=-41
-18a=-72
a=4
we should write 4 instead of a
-9(4)+1b=-31
-36+b=-31
b=5
a=4
Answer:
ten times time
Step-by-step explanation:
ten time ten or ten multiple by ten
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