Answer:
Number = 15.
Step-by-step explanation:
Given : If you multiply a number by 3 and then subtract 5, you will get 40.
To find : what is the number.
Solution : We have given if you multiply a number by 3 and then subtract 5, you will get 40.
According to question :
Let the number = x
Multiply is with 3 = 3x
Subtract 5 from it we get 40 .
3x -5 = 40
On adding both sides by 5
3x = 45 .
On dividing both sides by 3
x = 15.
Therefore, Number = 15.
Answer:
We conclude that (4, 2) is NOT a solution to the system of equations.
Step-by-step explanation:
Given the system of equations
Important Tip:
- In order to determine whether (4, 2) is a solution to the system of equations or not, we need to solve the system of equations.
Let us solve the system of equations using the elimination method.
Arrange equation variables for elimination
Subtract the equations
Now, solve -2x = 6 for x
Divide both sides by -2
Simplify
For y - x = -2 plug in x = -3
Subtract 3 from both sides
Simplify
The solution to the system of equations is:
(x, y) = (-3, -5)
Checking the graph
From the graph, it is also clear that (4, 2) is NOT a solution to the system of equations because (-3, -5) is the only solution as we have found earlier.
Therefore, we conclude that (4, 2) is NOT a solution to the system of equations.
Answer:
Area of the regular dodecagon inscribed in a circle will be 27 square units.
Step-by-step explanation:
A regular dodecagon is the structure has twelve sides and 12 isosceles triangles inscribed in a circle as shown in the figure attached.
Since angle formed at the center by a polygon =
Therefore, angle at the center of a dodecagon = = 30°
Since one of it's vertex is (3, 0) therefore, one side of the triangle formed or radius of the circle = 3 units
Now area of a small triangle =
where a and b are the sides of the triangle and θ is the angle between them.
Now area of the small triangle =
=
Area of dodecagon = 12×area of the small triangle
= 12×
= 27 unit²
Therefore, area of the regular octagon is 27 square unit.
Answer:
sometimes similar to a scelene triangle because we can never
Answer:
-1
Step-by-step explanation:
8+9=17
9+8=17
17-8=9
17-9=8
But, 8-9 is -1