Let's talk about the choices
◯ ∠4 and ∠5 . . . . . . . . these are complementary angles whose sum is 90°
◯ ∠7 and ∠9 . . . . . . . . these are vertical angles, equal to each other
◯ ∠2 and ∠3 . . . . . . . . these are supplementary angles that together form a straight line. They are a linear pair.
◯ ∠1 and ∠2 . . . . . . . . these are "adjacent" angles in the quadrilateral that also includes ∠9 and ∠10.
The appropriate choice is ...
◉ ∠2 and ∠3
Answer:
50 units
Step-by-step explanation:
Find the number of units x that produces the minimum average cost per unit C in the given equation.
C = 0.001x³ + 5x + 250
unit cost f(x) = C/x
= 0.001x³/x + 5x/x+ 250/x
f(x) = 0.001x² + 5 + 250/x
f'(x) = 0.002x - 250/x²
We equate the first derivative to zero
0.002x - 250/x² = 0
0.002x = 250/x²
Cross Multiply
0.002x × x² = 250
0.002x³ = 250
x³ = 250/0.002
x³ = 125000
x = 3√(125000)
x = 50 units
Therefore, the number of units x that produces the minimum average cost per unit C is 50 units.
Given:
A figure of a triangle.
To find:
The exterior angles.
Solution:
If one side of a triangle is extended, then the angle between the extended side and the other side of triangle is known as exterior angle of the triangle.
In the given figure angle 1 and angle 5 are interior angles because they are inside the circle.
In the given figure angles 2,4,6 are exterior angles because they are lie between the extended side and the other side of triangle.
Angle 3 is the angle between two extended sides. So, it is neither interior not exterior angle of the triangle.
Only 2,4,6 are the exterior angles of the given triangle. Therefore, the correct options are C, D, E.
Answer:
C.Expression A is 4 times as great as expression B.
Step-by-step explanation:
Given - Without doing any calculations, compare Expression A to Expression B.
A. (34+25) ÷ 1/4
B. 34+25
To find - Which statement is true?
A. Expression A is 2 times as great as expression B.
B.Expression B is 4 times as great as expression A.
C.Expression A is 4 times as great as expression B.
D. The two expressions are equal to each other.
Solution -
The correct answer is - C. Expression A is 4 times as great as expression B.
Reason -
Given that ,
Expression A is -
( 34 + 25 ) ÷ 1 /4
It can also write it as -
4(34 + 25)
And
Expression B given as -
34 + 25
So,
We can clearly see that,
Expression A is 4 times Expression B.
So,
Option C is correct.
