Answer:
28.3 (b)
Step-by-step explanation:
To solve circumference, you will need to use the equation C = 2 *pi* r
for this, we will use 3.14 for pi and the radius is 4.5 so this is how we need to solve it
C= 2 pi (4.5) Solve 2*4.5
C= 9 pi Now we input 3.14 for pi and multiply
C= 9(3.14)
C= 28.26 Now we round to the nearest tenth to get
C=28.3
For this case, the first thing to do is to observe that the figure is symmetrical with respect to the FH axis.
Therefore, the following lengths are the same:
![GH = HK](https://tex.z-dn.net/?f=%20GH%20%3D%20HK%20%20)
So, by equalizing both sides we have:
![5m + 1 = 3m + 7](https://tex.z-dn.net/?f=%205m%20%2B%201%20%3D%203m%20%2B%207%20%20)
From here, we clear the value of m.
We have then:
![5m - 3m = 7 - 1\\2m = 6](https://tex.z-dn.net/?f=%205m%20-%203m%20%3D%207%20-%201%5C%5C2m%20%3D%206%20%20)
![m = \frac{6}{2}\\m = 3](https://tex.z-dn.net/?f=%20m%20%3D%20%5Cfrac%7B6%7D%7B2%7D%5C%5Cm%20%3D%203%20%20%20)
Answer:
The value of m is given by:
![m = 3](https://tex.z-dn.net/?f=%20m%20%3D%203%20)
Answer:
Step-by-step explanation:
5x=y+6 --------- equ 1
2x-3y=4 -------- equ 2
5x - 6 = y
y = 5x - 6
substitute in equ 2
2x-3(5x - 6) =4
2x - 3*5x + 3*6 = 4
2x - 15x + 18 = 4
- 13x = 4 - 18
-13x = -14
x = -14/-13
x = 14/13
substitute in equ 1
5*14/13 = y+6
70/13 - 6 = y
y = ( 70 - 78)/13
y = -8/13
Answer:
x + (4/ x-2) + (2/ x-1)
Step-by-step explanation:
x + (6x/ x^2 + 2x - x -2)
x + (6x/ (x + 2) X (x - 1))
(6x/ (x + 2) X (x - 1))
(A/ x+2) + (B/ x-1)
(6x/ (x + 2) X (x - 1)) = (A/ x+2) + (B/ x-1)
6x = Ax + Bx - A + 2B
6x = (A+B)x + (-A+2b)
{0 = -A+2B
{6 = A+B
(A,B) = (4, 2)
(4/ x+2) + (2/ x-1)
x + (4/ x-2) + (2/ x-1)
Answer:
They will work together and print 200 T-shirts in 37.5 minutes.
Step-by-step explanation:
One machine can print 200 T-shirts in 50 minutes.
So, in one minute that machine can print
T-shirts.
Again, the other machine can print 200 T-shirts in 150 minutes.
So, in one minute the other machine can print
T-shirts.
Therefore, working together for one minute both the machines will print (4 + 1.33) = 5.33 number of T-shirts.
Hence, they will work together and print 200 T-shirts in
minutes. (Answer)