Answer: Circumference = 7.85 inches
Concept:
Here, we need to know the idea of circumference.
The circumference is the perimeter of a circle. The perimeter is the curve length around any closed figure.
Circumference = 2πr
r = radius
π = constant
Solve:
<u>Given information</u>
r = (1/2) d = (1/2) (2.5) = 1.25 inches
π = 3.14
<u>Given formula</u>
Circumference = 2πr
<u>Substitute values into the formula</u>
Circumference = 2 · (3.14) · (1.25)
<u>Simplify by multiplication</u>
Circumference = (2.5) · (2.14)
Circumference = 
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Answer:
y = 2x - 2
Step-by-step explanation:
y= mx+b
m= slope
b= y-intercept (point on line where x= 0.... or the point where the line hits the y-axis)
Determine slope by using slope formula or by counting boxes
By counting boxes, you can see that each point is 2 units up, 1 unit right (2/1)
the slope is 2
the point where the line is touching the y-axis is (0, -2)
m = slope = 2
b = y-intercept = -2
y = 2x + (-2) OR y = 2x -2
7.
To swap a figure to 90 degrees counter clock wise turn the points from
(x,y) to (-y,x)
Let’s get your points
(-2,3) ; (-4,2) ; (-2,-4)
Swap the values and make the new x’s negotiate
(-3,-2) ; (-2,-4) ; (4,-2)
These should be the points of the new figure with is 90 degrees counterclockwise of the first one.
10.
To find x you can either:
Add 93 and 54
Or
Find the missing value of the triangle and subtract it from 180. Let’s do both
x = 93 + 54
x = 147
Or
180 - 93 - 54
33
180 - 33 = 147
x = 147
8.
First we dilate the coordinates by 0.5
(-4,6) ; (2,6) ; (2,-4) ; (-4,-4)
Basically divide each x and by by two
(-2,3) ; (1,3) ; (1,-2) ; (-2,-2)
Two units left would be to subtract two from the x values
(-4,3) ; (-1,3) ; (-1,-2) ; (-4, -2)
Add three to each y value
New coordinates:
(-4,6) (-1,6) (-1,1) (-4,1)
6.
Since these are the same circle, then we need to multiply the radius by 2 and then make the newly formed diameters equal to each other
2(6x) = 10x + 8
Multiply
12x = 10x + 8
Get x on one side
2x = 8
Divide
x = 4
Plug in 4 for an equation
2(6(4))
48
Circumference = pi * diameter
Unsure if you use 3.14 for pi
If you use 3.14 :
(3.14) (48) = 150.72
If you use pi :
Pi (48) (rounded) = 150.80
You have to divide 86 by 18 .which she can make about 5 necklaces
Each bush costs $18.49
Step-by-step explanation:
Mrs. Kelly creates a garden
- She buys 15 flowers and 3 bushes for a total cost of $160.32
- Each bush costs $11.50 more than each flower
We need to find how much each bush costs
Assume that the cost of each flower is $x and the cost of each
bush is $y
∵ She by 15 flowers and 3 bushes for a total cost $160.32
∵ The cost of each flower is $x
∵ The cost of each bush is $y
∴ 15x + 3y = 160.32 ⇒ (1)
∵ Each bush costs $11.50 more than each flower
- That mean equate y by x plus 11.50
∴ y = x + 11.50 ⇒ (2)
Now we have system of equations to solve it
Substitute y in equation (1) by equation (2)
∵ 15x + 3(x + 11.50) = 160.32
- Simplify the left hand side
∴ 15x + 3x + 34.5 = 160.32
- Add like terms in the left hand side
∴ 18x + 34.5 = 160.32
- Subtract 34.5 from both sides
∴ 18x = 125.82
- Divide both sides by 18
∴ x = 6.99
Substitute the value of x in equation (2) to find y
∵ y = 6.99 + 11.5
∴ y = 18.49
Each bush costs $18.49
Learn more:
You can learn more about the system of equations in brainly.com/question/2115716
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