Two or more monomials that contain the same variables<span> raised to the</span>same powers, regardless of their coefficients. For example, 2x2y and -8x2<span>y are like terms because they have the </span>same variables<span> raised to the </span>same<span> exponents. also called counting numbers, the numbers 1, 2, 3, 4.</span>
Answer: volume of cone = 90.5 cm³
Step-by-step explanation:
The formula for determining the volume of a cone is expressed as
Volume = 1/3πr²h
Where
h represents the height of the cone
r represents the radius of the cone
π is a constant whose value is 3.14
From the information given
Height = 4.9 cm
Circumference of base = 8.4 cm
The formula for determining the circumference of a circle is expressed as
Circumference = 2πr
Therefore
8.4 = 2 × 3.14 × r = 6.28r
r = 8.4/2 = 4.2 cm
Therefore,
Volume of cone = 1/3 × 3.14 × 4.2² × 4.9 = 90.5 cm³ to the nearest tenth of a cubic centimeter.
Answer:
2.925 miles
Step-by-step explanation:
miles. Hope this helps!
Answer:
The inverse is (x^2-5)/2
Step-by-step explanation:
y =sqrt(2x+5)
Exchange x and y
x = sqrt(2y+5)
Solve for y
Square each side
x^2 = (sqrt(2y+5))^2
x^2 = 2y+5
Subtract 5 from each side
x^2 -5 = 2y-5+5
x^2 -5 = 2y
Divide each side by 2
(x^2-5)/2 = 2y/2
(x^2-5)/2 = y
The inverse is (x^2-5)/2
Answer:
k = 5
Step-by-step explanation:
First three terms of an AP are 3k-1, 4k+1, 6k-2.
First term is 3k-1
For an AP,
a₂-a₁=a₃-a₂
4k+1-(3k-1)=6k-2-(4k+1)
4k+1-3k+1=6k-2-4k-1
k+2=2k-3
Separating like terms,
k-2k=-3-2
-k=-5
k = 5
So, the value of k is 5.
