Answer:
8.4cm
Step-by-step explanation:
In a circle, d = 2r, so d = 2 * 4.2cm = 8.4cm
Answer:
False
Step-by-step explanation:
Lets call the three prime divisors of n p, q, and r, being r the largest, we know:

Now, if

then

So:

Also, for every natural greater than one, we know:
![\sqrt[3]{n}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bn%7D%3C%5Csqrt%7Bn%7D)
so
![\sqrt[3]{n}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bn%7D%3C%5Csqrt%7Bn%7D%20%3C%20r)
from which:
![\sqrt[3]{n} < r](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bn%7D%20%3C%20r)
So, we see, this means the preposition is false, we can find a particular counterexample:
q=2
p=3
p*q = 6
We need to choose a prime greater than 6
r=7
n= 2 * 3 *7 = 42
![\sqrt[3]{42} = 3.4760 < 7](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B42%7D%20%3D%203.4760%20%3C%207)
Answer:
x=0
y= -1
Step-by-step explanation:
x−2y=2 - eq 1
3x+2y=−2 - eq 2
x−2y=2
(3x+2y)+(x−2y)=−2+2
x−2y=2
3x+2y+x−2y=0
x=0
y= -1
The speed of the Elvira is 6.545 miles per hour. Then the speed of the Altheia will be 0.545 miles per hour.
<h3>What is speed?</h3>
The distance covered by the particle or the body in an hour is called speed. It is a scalar quantity. It is the ratio of distance to time.
We know that the speed formula
Speed = Distance/Time
Let the speed of the Elvira be x. Then the speed of the Altheia will be (x - 6).
Let the distance between the coffee shop and Elvira's house be d.
Then the distance between the coffee shop and Altheia's house will be (3.6 - d).
Then we have
x = d / 0.5 ...1
(x - 6) = (3.6 - d) / 0.6 ...2
In solving the equations 1 and 2, we have
x = 6.545 and d = 3.2725 miles
Then the speed of the Elvira is 6.545 miles per hour. Then the speed of the Altheia will be 0.545 miles per hour.
More about the speed link is given below.
brainly.com/question/7359669
#SPJ1
Answer:
Cody has solved (12 × 12) = 144 problems.
Step-by-step explanation:
For every one problem that Julia completes, Cody completes twelve.
If Julia Completes x problems and Cody completes y problems, then we can write y = 12x ........ (1)
Now, given that the number of problems solved by Cody is one hundred twenty more than two times the number of problems solved by Julia.
Hence, 2x + 120 = y ......... (2)
Now, from equations (1) and (2) we get,
2x + 120 = 12x
⇒ 10x = 120
⇒ x = 12
Therefore, Cody has solved (12 × 12) = 144 problems. (Answer)