Answer:
8.22in
Step-by-step explanation:
Area of circle = πr²
r is the radius
Given
Area = 212in²
Substitute
212 = πr²
r² = 212/3.14
r² = 67.52
r = √67.52
r = 8.22in
hence the radius of the circle is 8.22in
Answer:
False
Step-by-step explanation:
Solving the equation
3x² - 5x - 2 = 0
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 3 × - 2 = - 6 and sum = - 5
The factors are - 6 and + 1
Use these factors to split the x- term
3x² - 6x + x - 2 = 0 ( factor the first/second and third/fourth terms )
3x(x - 2) + 1(x - 2) = 0 ← factor out (x - 2) from each term
(x - 2)(3x + 1) = 0
Equate each factor to zero and solve for x
x - 2 = 0 ⇒ x = 2
3x + 1 = 0 ⇒ 3x = - 1 ⇒ x = - ![\frac{1}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7D)
Solutions are x = 2 and x = - ![\frac{1}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7D)
Answer:
4
Step-by-step explanation:
Alright we know the equation AB+BC=AC is the postulate formula given for AC length.
So we do algebraic equation here which would be
(4m-15)+(5m-6)=15
Remove parenthesis
4m-15+5m-6=15
Combine like terms:
9m-21=15
Add 21 to other side
9m=15+21
9m=36
Divide 9
m=36/9
m=4
So the last multiple choice there :)
Constant of proportionality?
I can find the rate of change
ok, so find first hose rate of change
gallons/minue=318/58=159gal/29min
y=159/29x for first hose
2nd hose
50% faster
times 3/2
477/58=2nd hose
constant of poroprotinality
y=kx
assuming y=amount and x is the time
add the rates
159/29+477/58=795/58=13.7
so the new one would be
y=13.7x
constant is 13.7
C
Answer:
D
Step-by-step explanation:
Using the Pythagorean Theorem, the side needs to be found by subtracting a to c then square root b to get rid of the square. Round 12.96 to 13