Answer:
A =62x^2
Step-by-step explanation:
The formula for surface area of a rectangular prism is given by
A=2(wl+hl+hw)
Given a width of 2x and length of 3x and a height of 5x, substitute into the equation
A = 2(2x*3x+ 5x*3x+ 2x*5x)
A = 2(6x^2 + 15x^2 +10x^2)
Combine like terms
A = 2(31x^2)
A =62x^2
Answer:
1330.5 cm³
Step-by-step explanation:
The volume of a cylinder is: V = πr²h
Substitute the values for those variables.
V = π(5.5)²(14)
V = π(30.25)(14)
V = 1330.5
Answer:
A) -18 B) r=10 C) x=-4
Step-by-step explanation:
A) 1d + 12 = 14-20
Step 1: Simplify both sides of the equation.
1d+12=14−20
d+12=14+−20
d+12=(14+−20)(Combine Like Terms)
d+12=−6
d+12=−6
Step 2: Subtract 12 from both sides.
d+12−12=−6−12
d=−18
Answer:
d=−18
B) 4(20+5) = 10r
Step 1: Simplify both sides of the equation.
100=10r
Step 2: Flip the equation.
10r=100
Step 3: Divide both sides by 10.
r=10
C) -2(5 + x) - 1 = 3(x + 3)
Step 1: Simplify both sides of the equation.
−2(5+x)−1=3(x+3)
(−2)(5)+(−2)(x)+−1=(3)(x)+(3)(3)(Distribute)
−10+−2x+−1=3x+9
(−2x)+(−10+−1)=3x+9(Combine Like Terms)
−2x+−11=3x+9
−2x−11=3x+9
Step 2: Subtract 3x from both sides.
−2x−11−3x=3x+9−3x
−5x−11=9
Step 3: Add 11 to both sides.
−5x−11+11=9+11
−5x=20
Step 4: Divide both sides by -5.
x=−4
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Answer:
d 125
Step-by-step explanation:
Supplementary angles add to 180 degrees
Let x be the supplement to the 55 degree angle
55+ x =180
Subtract 55 from each side
55+x-55 =180-55
x = 125