The sum of the areas of two circles is 8pie square meters. Find the length of a radius of each circle ifone of them is twice as long as the other.what is the radius of the larger circle?
Answers
area=pir^2
the areas are
pir^2+pi(2r)^2
they add to 8pi
8pi=pir^2+pi(2r)^2
undistribute pi
8pi=pi(r^2+(2r)^2)
divide both sides by pi
8=r^2+(2r)^2
expand
8=r^2+4r^2
add
8=5r^2
divide by 5
8/5=r^2
sqrt both sides
√(8/5)=r
double since it is double
2√(8/5) is radius of bigger aka (4√10)/5
radius=(4√10)/5
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Answers
becuase 12 + 6 = 18
then 18 / 13 is 1.384615385
but you cant write that down so we round to the nearest hundreth and you get 1.38 as your final answer
Answers
2+1+3=6
1/3+2/3= 3/3 or 1
Plus 3/3 or 1
So, now you have 2+1+3+1+1
The answer is 8
Answers
hope I helped!!!
Answers
Answer:
66.67 ml of 5% solution and 133.33 ml of 6.5% solution are mixed.
Step-by-step explanation:
Let 200 ml of 6% solution is formed by mixing x ml of 5% solution and y ml of 6.5% solution.
We can write the equation x + y = 200 ........ (1)
Now, x ml of 5% solution will contain ml of acid
Again, y ml of 6.5% solution will contain ml of acid.
So, mixing them together will give (0.05x + 0.065y) ml of acid in 200 ml of solution.
So, from the condition given we can write
⇒ 0.05x + 0.065y = 12
⇒ x + 1.3 y = 240 ........... (2) {Dividing both sides by 0.05}
Now, solving equations (1) and (2), we get
0.3y = (240 - 200) = 40
⇒ y = 133.33 ml
From equation (1) we get, x = 200 - 133.33 = 66.67 ml
Therefore, 66.67 ml of 5% solution and 133.33 ml of 6.5% solution are mixed. (Answer)
Answers
we know that
if A, B, and C are col-linear points and B is between A and C
then
AB+BC=AC
AB=x+6
BC=3x-5
AC=36-x
substitute
(x+6)+(3x-5)=36-x
(x+3x)+(6-5)=36-x
4x+1=36-x
4x+x=36-1
5x=35
x=35/5
x=7
the answer is
the value of x is 7
Answers
Answer:
= (x-4)(x-3)
Step-by-step explanation:
Firstly, put the pronumeral in the brackets [(x)(x)].
Then, place the signs in the right positions, the sign of the constant number (12) is a positive (+), therefore the two signs must be the same. The sign of the -7x is negative (-). Place these in the brackets [(x-)(x-)].
Next, think of the factors of 12 that add up to 7 {(3 and 4) 3x4 is 12 and 3+4 is 7}. [(x-4)(x-3)].
Have a nice day!!!!!!! :-)
KA
Answer:
(x-3) (x-4)
Step-by-step explanation:
x²- 7x + 12
= x² - 3x -4x +12
=x(x-3) - 4(x-3)
=(x-3) (x-4)