Addition is the inverse of subtraction and multiplication is the inverse of division.
Ex: 1+1 = 2, 2-2 = 0
Answer:
The circumference is 75.36 inches.
Step-by-step explanation:
Hi there! Please take a look at the following explanation and let me know in the comment if you have any doubts!
<h3>Given:</h3>
We are given the <u>radius</u> that’s equal to <u>12 inches</u> and π = <u>3.14</u>
<h3>Problem:</h3>
We want to find <u>the circumference</u>.
<h3>Circumference Formula:</h3>
which simply means <em>circumference = 2*π*radius</em> or sometimes can also be written as 
which means <em>circumference = π*diameter </em>since 2r means two times of radius and that’s technically diameter.
<h3>Step:</h3>
Determine the following:
- π = 3.14 as given
- r = 12 as given
Apply the circumference formula.
Hence, the circumference is <u>75.36 inches</u>.
22.
pythagorean theorem says legs a and b and hypotenuse c of a right triangle are related via the equation c²=a²+b². in other words, adding the sum of the squares of the legs get you the square of the hypotenuse
if the hypotenuse is 4 meters long, c = 4.
if one leg is 3 meters long, we can choose either a or b to be 3. it does not really matter. let us choose a = 3. now we have to find b.
if we have c²=a²+b², we can solve for b.
subtract a² both sides to get c²-a²=b², and then square root both sides to get
b = √(c²-a²)
plugging in our info we get
b = √(4²-3²) = √(16 -9) = √7
so the answer is √7 meters for 22
23
two triangles are similar, then the proportion of their sides are the same. the propotion between the smaller triangles' hypotenuse and 2cm leg is 5cm/3cm.
notice how the bigger triangle just have a doubled hypotenuse. therefore, the bigger triangle's x and y are just the corresponding smaller triangle values doubled.
x = 6 and y = 8
This is the concept of exponential growth, To get the number of bacteria after 10 days we use the formula:
f(t)=ae^(kt)
where;
a=initial number=5000
k=constant of proportionality= 0.04
t=time=10 days
f(t)=future number
thus the number of bacteria in 10 days will be:
f(t)=5000e^(0.04*10)
f(t)=7,459.12
The answer is 7,459.12
