1) we have to calculate the lenght of the baseball field.
perimeter of the baseball field=2(radius)+lenght of a semicircle.
2(radius)=2(175 ft)=350 ft
lenght of a semicircle=40% of a circumference=(40/100)(2πr)
Perimeter of the baseball field=2(175 ft) + (40/100)(2π175 ft)=
=350 ft + 140π ft=350 ft + 439.82 ft=789.82 ft,
2)Now, we calculate the amounts of time that it takes you to ruan arount the baseball field.
10 ft------------------------1 second
789,82 ft----------------- x
x=(789.82 ft * 1 second) / 10 ft=78.98 s≈79 s
answer: 79 seconds.
Answer:
x is 2.88 which can be rounded up to 2.9
Step-by-step explanation:
Subtract 2/3x from 5x.
Add 1/2 to 12.
Simplify and put into calculator (y=) to double check.
1. Isolate the y. Note the equal sign. What you do to one side, you do to the other. Do the opposite of PEMDAS.
First, multiply 12 to both sides
-y/12(12) = 6(12)
-y = 6(12)
-y = 72
Isolate the y. Divide -1 from both sides
-y/-1 = 72/-1
y = -72
-72 is your answer for y
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2. Isolate the x. Note the equal sign. What you do to one side, you do to the other. Do the opposite of PEMDAS.
x/4 = 8
First, multiply 4 to both sides
x/4(4) = 8(4)
x = 8(4)
x = 32
32 is your answer for x
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hope this helps
Add 121/4 to each side:
x²+11x+121/4 < 121/4-8
x²+11x+121/4 < 89/4
(x+11/2)² < √89/2 ⇒ -√89/2 < x+11/2 < √89/2
-11/2-√89/2 < x < -11/2+√89/2
