Answer:P=2x + 2y + 8
Step-by-step explanation: Perimeter (p) =2L+ 2w
P= 2(x+5)+2(y-1)
Remove bracket
P=2x+ 10 +2y - 2
P=2x+2y+8
Answer:
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Explain the converse of the Pythagorean theorem.
A.
The converse of the Pythagorean theorem states that if a triangle is a right triangle, then the sum of the squares of its legs is less than the square of its hypotenuse.
<u>B. </u>
<u>The converse of the Pythagorean theorem states that if the square of one side of a triangle is equal to the sum of the squares of the other two sides, then the triangle is a right triangle.
</u>
C.
The converse of the Pythagorean theorem states that if a triangle is a right triangle, then the sum of the squares of its legs is greater than the square of its hypotenuse.
D.
The converse of the Pythagorean theorem states that if the square of one side of a triangle is greater than the sum of the squares of the other two sides, then the triangle is a right triangle.
Step-by-step explanation:
The formula to calculate work done is -
Work done ( in joule, J) = Force (in Newton) X Distance (in meters)
So, we will use the formula to calculate work done,
Here, force is given as = 7 newtons
Distance is given as = 3 meters
So, work done will be -
Work done ( in joule, J) = 7 Newtons X 3 Meters
<u>Work done ( in joule, J) = 21 J (in joule)</u>
Answer:
The point estimate for this problem is 0.48.
Step-by-step explanation:
We are given that a University wanted to find out the percentage of students who felt comfortable reporting cheating by their fellow students.
A survey of 2,800 students was conducted and the students were asked if they felt comfortable reporting cheating by their fellow students. The results were 1,344 answered "Yes" and 1,456 answered "no".
<em>Let </em>
<em> = proportion of students who felt comfortable reporting cheating by their fellow students</em>
<u></u>
<u>Now, point estimate (</u>
<u>) is calculated as;</u>
where, X = number of students who answered yes = 1,344
n = number of students surveyed = 2,800
So, Point estimate (
) =
= <u>0.48 or 48%</u>