Answer:
18.28 m
Step-by-step explanation:
Given the flower garden in the question :
The shape is composite and can be divided into 2 semicirles and rectangle
The perimeter of a semicircle is the Circumference of the semicircle = πr
Hence, 2 semicirles = 2πr
Radius of semicircle = 2/2 = 1
Perimeter = 2 * 3.14 * 1² = 2 * 3.14 * 1 = 6.28 m
The perimeter of rectangle; length and width are 6m and 2 m respectively :
Perimeter of rectangle = 2(l + w) = 2(4+2) = 2(6) = 12m
Tve perimeter of garden = 6.28 + 12 = 18.28 m
Answer: The second choice is correct: slope is 3/4, y-intercept is 1
Step-by-step explanation: The y-intercept is where the line crosses the y-axis.
Look for places where the line intersects the grid at "cross-points" like (-4,-2) (0,1) and (4,4)
The slope is rise/run.
The difference in y-values is the rise. 4-1=3 1-(-2) is 3.
The rise is 3.
The difference in x-values is the run. 4-0=4 0-(-4) = 4
The run is 4
Rise/run = 3/4 That is the slope.
Answer:
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Step-by-step explanation:
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Answer:
Let p be the number of pencils.
3(14-p)=30+p
42-3p=30+p
4p=12, p=3.
So Peter ends up with 33 and Tony with 11. 3*11=33, so that confirms that Tony gave Peter 3 pencils.
Let x be the number of weeks; therefore, the two linear equations are
Where T stands for the punches on the tea punch card and C for the punches on the coffee punch card.
Solving by substitution. Set T=C, then
Thus, substitute the value of x=3 into the first equation,
Thus, after 3 weeks, Josiah will have the same number of punches on each card, and he will have 23 punches on each card.
