Given the lengths of the sides, state if the triangle is acute, obtuse, or right. 8, 15, and 17 This is a(n) blank triangle.
1 answer:
Answer:
This is a right triangle
Step-by-step explanation:
Pythagoras theorem is used to determine if a triangle is right, acute or obtuse
If the sum of squares of two shorter lengths is greater than the square of third side then the triangle is an acute triangle.
If the sum of squares of two shorter lengths is less than the square of third side then the triangle is an obtuse triangle.
If the sum of squares of two shorter lengths is equal the square of third side then the triangle is a right triangle.
so,
Therefore, the given triangle is a right triangle ..
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Answer:
Line "L" has the slope of 1 and line "K" has the slope of 2.
In order to graph a line with the slope of think of the numerator as the "rise" (how much you move up/down on the y-intercept) and the denominator as the "run" (how much you move to the side on the x-intercept)
Step-by-step explanation:
A slope of "1" is simply so you rise up one and move to the right once. This clearly demonstrated on line "L".
A slope of "2" is so you rise up two and move to the right once, as is demonstrated on line "K".
For the 2nd question, line "A" will have a slope of therefore it will move up once and then to the side three times. It will look like the image attached to this answer.
I hope this helped! Feel free to ask questions if needed!
Answer:
Yes we can conclude.
Step-by-step explanation:
The sampling distribution of can be approximated as a Normal Distribution only if:
np and nq are both equal to or greater than 10. i.e.
- np ≥ 10
- nq ≥ 10
Both of these conditions must be met in order to approximate the sampling distribution of as Normal Distribution.
From the given data:
n = 50
p = 0.80
q = 1 - p = 1 - 0.80 = 0.20
np = 50(0.80) = 40
nq = 50(0.20) = 10
This means the conditions that np and nq must be equal to or greater than 10 is being satisfied. So, we can conclude that the sampling distribution of pˆ is approximately a normal distribution