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Answer:
1/125
Step-by-step explanation:
(5^-2)(5^-1) = 5^-3=1/5^3=1/125
1) Area = leg(1) * leg(2) * .5 = 15 * 36 * .5 = 270
Perimeter = leg(1) + leg(2) + hypotenuse = 15 + 36 + 39 = 90
2) Area = leg(1) * leg(2) = 20 * 80 = 1600
3) Median (divides it in 1/2)
4) Both (divides it in 1/2 and makes a 90 degree angle w/ base)
5) Altitude (makes 90 degree angle w/ base)
6)sqrt(30^2 + 16^2) = sqrt( 900 + 256) = sqrt(1156) = 34
7) sqrt(24^2 + 18^2) = sqrt( 576 + 324) = sqrt(900) = 30
8) sqrt(40^2 + 96^2) = sqrt(1600 + 9216) = sqrt(10816) = 104
9) sqrt(150^2 - 90^2) = sqrt(22500 - 8100) = sqrt(14400) = 120
10) sqrt(35^2 - 25^2) = sqrt(1225 - 625) = sqrt(600) = 10sqrt(6), approx. 24.5
Angle = 68⁰ is an inscribed angles, this angle equal 68⁰,
so it intersect arc = 2*68⁰= 136⁰.
Arc of the whole circle (circumference) =360⁰,and it also =b+104+136.
b+104+136 =360
b=360-(104+136) = 120⁰
Answer A. b=120⁰.
Answer:
(a)
x cubed is
=x^3=x3
5 times the cube of x is
=5x^3=5x3
4 times x is
=4x=4x
the quotient of 4 times x and 3 is
=\frac{4x}{3}=34x
so,
the difference of 5 times the cube of x cubed and the quotient of 4 times x and 3 is
=5x^3-\frac{4x}{3}=5x3−34x ..........Answer
(b)
5 times cube of x is
=5x^3=5x3
5 times cube of x divided by 4 times x is
=\frac{5x^3}{4x}=4x5x3 ..........Answer
(c)
difference of 5 times x cube and 4 is
=5x^3 -4=5x3−4
so,
the quotient of the difference of 5 times x cube and 4 and x is
=\frac{5x^3-4}{x}=x5x3−4 ...........Answer
(d)
difference of 5 times x and 4 is
=5x-4=5x−4
so,
the cube of the difference of 5 times x and 4 is is
=(5x-4)^3=(5x−4)3 ............Answer
