Please, group your sets of numbers, using { } notation or at least semicolons ( ; ). Thanks.
Looking at what I think is your first set: { sqrt(4), sqrt(5), sqrt(16) }
Square each of these and then subst. the results into the Pythagorean Theorem:
{ 4, 5, 16 } Do 4 and 5 when added together result in 16? NO.
Therefore, { sqrt(4), sqrt(5), sqrt(16) } does not produce a right triangle.
Your turn. Pick out the next 3 numbers and test them using the Pyth. Thm.
Answer:
The two numbers are 36 (62) and 49 (72).
Step-by-step explanation:
Answer: Domain of function is
or (0,
)
Step-by-step explanation:
Assuming x as width of rectangle
so, Width = x
Question says, Length is 5in more than 3 times id width.
we write as Length = 3x+5
Therefore, Area of rectangle will be given function f(x)
f(x) = x(3x+5)
Here, It is important to notice that width and length of rectangle will always be positive values and also, area of rectangle is always positive.
we can write in equation as


Thus, Domain of function is
or (0,
)
Before attempting to solve this question, we must first know three things.
1. A straight line has a measure of 180 degrees.
2. When two angles add up to 180 degrees, those angles are called supplementary.
3. The interior angles of a triangle add up to 180 degrees.
We can see ∠ECT = 180 degrees.
∠DCT is supplementary to ∠DCE.
∠DCT = 140 degreees
∠DCE = x degrees
x + 140 = 180
Solve for x.
x + 140 = 180
x = 40 <-- Subtract 140 from each side
∠DCE = 40 degrees
We know the two interior angles of ΔDEC.
45 + 40 + x = 180
Solve for x.
45 + 40 + x = 180
85 + x = 180 <-- Combine like terms
x = 95
So, the missing angle is equal to 95 degrees.