9514 1404 393
Answer:
A: 144 cm
B: 64 cm
C: 36 cm
Step-by-step explanation:
The volume of a cone is given by ...
V = (1/3)πr²h
Solving for h, we get ...
3V/(πr²) = h
Filling in the given values, we get ...
3(192π)/(πr²) = h
576/r² = h
Then the heights of the different cones are ...
A: r = 2, h = 576/4 = 144 . . . cm
B: r = 3, h = 576/9 = 64 . . . cm
C: r = 4, h = 576/16 = 36 . . . cm
1/2x+20=1/3x+30
Subtract 20 on both sides
1/2x=1/3x+10
Subtract 1/3x on both sides
1/6x=10
Multiply by 6 on both sides
X=60
Answer:
Yes it's a binomial.
Step-by-step explanation:
A polynomial is an expression with more than one term that often has variables and exponents on the variable. Since this has two terms separated by a subtraction sign with one term being a variable to the exponent of 2 then this is a polynomial. It is called a binomial. More than 2 terms are referred exclusively as a polynomial with ___ terms.
You can use elimination by adding the two equations to "cancel out" one of the variables. in this example y will cancel out.
2x + y = 3
+
2x - y = 4
________
2x = 6
x = 3
now that we know our x value, we can plug it into one of the other equations to get our y value.
2(3) + y = 3
6 + y = 3
y = -3
your answer for this system is x=3, y=-3
Answer:
im just going to copy and paste the correct ones and their answers:
<u>Problem: The sum of twice a number and −6 is 9 more than the opposite of the number. Find the number.</u>
<u>Equation: 2n − 6 = 9 − n</u>
<em>n = 5</em>
<u>Problem: Anna drove 450 km in 6 hours. Find her rate of travel.</u>
<u>Equation: 450r = 6</u>
<em>r = 75</em>
<u>Problem: Three times a number increased by 44 is the same as the opposite of the number. Find the number.</u>
<u>Equation: 3n + 44 = −n</u>
<em>n = -11</em>
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