Answer:
-1
Step-by-step explanation:
Complete the square to find the vertex of this parabola y^2-8x+2y+17=0 {The second answer is -1; so 2,-1 }
Answer:
The perimeter of the triangle is about 17.1 units.
Step-by-step explanation:
The perimeter of a triangle is the sum of its three side lengths.
We can see that the two legs of the triangle both measure five units.
To find the third segment, we can use the Pythagorean Theorem since the <em>x-</em>axis is perpendicular to the <em>y-</em>axis. Recall that:
Where <em>a</em> and <em>b</em> are the two legs and <em>c</em> is the hypotenuse.
Our two legs are 5 and 5. Hence:
Solve for the hypotenuse:
Hence, our perimeter will be:
In conclusion, the perimeter of the triangle is about 17.1 units.
The square box is enough to fit the pizza with a diameter of 10 inches inside. Since the area of the square box is more than the area of the pizza, the pizza fits easily in the square box.
<h3>What is the area of the circle and the square?</h3>
The area of the circle is
Ac = πr² = πd²/4 sq. units
Where r is the radius and d is the diameter of the circle.
The area of the square is given by
As = s² sq. units
Where s is the length of the side of a square.
<h3>Calculation:</h3>
It is given that a pizza(in a circular shape) with a diameter d = 10 in is to be placed in a square box of the same length as the diameter of the pizza.
So,
The area of pizza is
Ap = Ac = πd²/4 sq. units
= π(10)²/4
= 25π
= 78.54 sq. in
Then, the area of the square box with the length same as the diameter of the pizza is,
As = d²
= 10²
= 100 sq. in
Since the area of the square is more than the area of the pizza (100 sq. inch > 78.54 sq. inch), the pizza easily fits into the square box.
Learn more about the area of a circle here:
brainly.com/question/15673093
#SPJ1
Answer:
53520
Step-by-step explanation:
Books left =total books -books included student
books left =66500-8947-4033
i.e.53580
Theoretically 10 because the 50/50 chance realistically though you'll get more or less
