Answer:
C = 10π ft
Step-by-step explanation:
the circumference (C) of a circle is calculated as
C = 2πr ( r is the radius )
to find r use the area formula, that is
A = πr² = 25π ( divide both sides by π )
r² = 25 ( take square root of both sides )
r = 
= 5
then
C = 2π × 5 = 10π ft
is regions of f ◦ g(·).
<u>Step-by-step explanation:</u>
When you multiply two functions together, you'll get a third function as the result, and that third function will be the product of the two original functions.
For example, if you multiply f(x) and g(x), their product will be h(x)=f.g(x), or h(x)=f(x)g(x).
Here we have two functions, f identifies n f regions of (0, 1)d onto (0, 1)d which is equivalent to f(x) = n f. And, g identifies n g regions of (0, 1)d onto (0, 1)d which is equivalent to g(x)= n g. Now,
⇒ ( f × g ) (x ) = f(x) × g(x)
⇒
Therefore, is regions of f ◦ g(·).
First find the decimal values of both fractions:
7/10 is 7 divided by 10 so:
= 0.70
3/5 is 3 divided by 5 so:
= 0.60
60 minutes is one hour (since the question said that Lola rides the bike for 7/10 and 3/5 of an hour)
Now we use these to find how many minutes:
To find 0.70 (or 7/10) of 60 minutes, you multiply 60 x 0.70
= 42 minutes on Saturday
To find 0.60 (or 3/5) of 60 minutes, you multiply 60 x 0.60
= 36 minutes on Sunday
Now to find how much longer she rode her bike on Saturday than Sunday, you subtract the two numbers:
42 - 36
= 6
Therefore, Lola rode her bike for 6 minutes more on Saturday than on Sunday.
Answer:
x = 6.00 $/kg ----> almond
y = 3.5 $/kg ------> nut
Step-by-step explanation:
To find the price per kg of each product you first write the algebraic equations for the given relations:
x : price per kg of almond
y: price per kg of nut
Then, you have:
5x + 4y = 44.00 (1)
8x + 6y = 69.00 (2)
By using substitution you have from (1):
y = (44.00-5x)/(4) = 11.00 - (5/4)x
you replace this expression for y into (2):
8x+6[11.00-(5/4)x] = 69.00
8x+66.00-(15/2)x = 69.00
8x-(15/2)x = 69.00 - 66.00
(1/2)x = 3.00
x = 6.00 $/kg ----> almond
And for nut:
y = 11.00 - (5/4)x = 11.00 - (5/4)(6.00) = 3.5$/kg
y = 3.5 $/kg ------> nut
The solutions for 
is option 3. 
Step-by-step explanation:
Step 1:
First, we must bring the equation to the form of 
So becomes 
The value of a is the coefficient of the 
term, the value of b is the coefficient of x term and c is the coefficient of the constant term.
Comparing the above equation to 
we get 
and 
We have the formula 
Step 2:
By substituting the known values, we get
This is the third option.
