Answer: All three of the altitudes lie entirely outside the triangle.
Step-by-step explanation:
The orthocenter is the center of the triangle formed by creating all the altitudes of each side.
The altitude of a triangle is formed by creating a line from each vertex that is perpendicular to the opposite side.
In acute traingle , the orthocenter lies inside it.
In right angled triangle, the orthocenter lies on the triangle.
In obtuse triangle , the orthocenter lies outside the triangle because all the three altitudes meet outside .
So, the best explains why the orthocenter of an obtuse triangle is outside the triangle : All three of the altitudes lie entirely outside the triangle.
Original price×(1-discount price)=new price or sale price so
Put x in original price...x(1-45/100)=550
So the original price is 1000
F(x)=y
y is considered to be the value of f(x)
Looking at a table, when x=4, the corresponding y value is the value of f(4)
Answer:
42) 254.47 ft²
43) 56 pendants
Step-by-step explanation:
42)
The radius of a circle is equal to half of its diameter.
Diameter = 18 feet
Radius = Diameter ÷ 2 = 18 ÷ 2 = 9 feet
Area of a circle = π 
Substitute in known value of r
Area = π 
Substitute in pi
Area = 3.14 *
Solve exponent
Area = 3.14159265359 * 81
Area = 254.4690049408
(Rounds to 254.47)
254.47 ft²
43)
1.5 ounces per pendant
3 pieces of silver:
pounds
14 ounces
pounds
Convert to improper fractions (1 lb = 16 ounces)
pounds
pounds
pounds
Find a common denominator for the fractions
pounds
pounds
pounds
Add
+ +
pounds
Find how many pendants can be made out of this amount
pounds
Convert back to ounces (1 lb = 16 ounces)
84 ounces
Amount to make one pendant:
ounces
Convert to decimal
1.5 ounces
Divide 84 by amount of silver per pendant
84 ÷ 1.5
56
The maximum number the pendants that the manufacturer can make is 56
Hope this helps :)
The answer is 791 because the 5 after the 9 rounds of up to 10 which adds 1 to the 790
