Answer:
6(x-4y) = 6x - 24y
Step-by-step explanation:
Here, we want to expand the given expression
We can do this using the distributive approach
We have this as;
(6 * x) - (6 * 4y)
= 6x - 24y
Set up two equations:
Greg = 330 + 75X
Heather = 660 + 45x
Set them to equal and solve for x:
330 + 75x = 660 + 45x
Subtract 330 from both sides:
75x = 330 + 45x
Subtract 45x from both sides:
30x = 330
Divide both sides by 30:
x = 330 / 30
X = 11
11 months they will have the same amount saved.
The perimeter "P" is equal to the length of the base of one triangle multiplied by the "n" number of triangles in the figure plus two times the length of another side. The equation for the perimeter is P = 5n + 14.
We are given triangles. The triangles are arranged in a certain pattern. The length of the base of each triangle is equal to 5 units. The length of the other two sides is 7 units each. We conclude that all the triangles are isosceles. We need to find the relationship between the number of triangles and the perimeter of the figure. Let the perimeter of the figure having "n" number of triangles be represented by the variable "P".
P(1) = 14 + 5(1)
P(2) = 14 + 5(2)
P(3) = 14 + 5(3)
We can see and continue the pattern. The relationship between the perimeter and the number of triangles is given below.
P(n) = 14 + 5n
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Answer:
Therefore the measure of the central angle is 45.86°.
Step-by-step explanation:
Given:
Radius = 9 cm
arc length = 7.2 cm
pi = 3.14
To Find:
Central angle = θ =?
Solution:
If the θ measured in degree then the arc length is given as
Where r = radius, θ = Central angle
On substituting the values we get
Therefore the measure of the central angle is 45.86°.
