Answer:
Each of the legs of isosceles right triangle is 5
Step-by-step explanation:
Watch the attached figure for the isosceles right angled triangle
Looking at the figure we see that AB=5√6 and BC=CA
According to the Pythagorean theorem the square of the hypotenuse is equal to the sum of the squares of the other two sides of a right triangle.
1) Applying the Pythagorean theorem to the isosceles right triangle, we have
2) Let BC=a and CA=a as they both are equal
So,
=> 
=> 
=> 
(since √6*√6 = (√6)²= 6)
=> 
3) Dividing both sides by 2, we get
4) Cancelling out the 2's on the left, we get
= 75
5) Taking the square root on both sides, we have
=> a = 5
So,
Each of the legs of isosceles right triangle is 5
She has 19/6 pounds (aka 3 1/6 pounds) of cheese left.
Answer:
Step-by-step explanation:
Rewrite the denominators as products of factors, then cancel the common factors.
Answer:
A number line with a closed circle on 25, with shading to the right.
Explanation:
A closed circle means "greater than or equal to" or "less than or equal to".
A open circle means "less than" or "greater than"
Therefore, since the question says: "who are at least 25 years old", a closed circle is the correct answer.
And says it says "at least 25 years old" it means that it shaded to the right, and that the circle is on the number 25.
(2n +1) + (2n + 3) + (2n + 5) = 51
6n + 9 = 51
6n = 42
n = 7
numbers are 15 17 and 19
