Answer:
144
Step-by-step explanation:
3! = 1*2*3 = 6
4! = 1*2*3*4 = 24
3!*4! = 6*24= 144
Answer:
PB = 1.8
Step-by-step explanation:
PQ = 8 cm, BC = 10 cm and AB = 9 cm
∆ABC is similar to ∆APQ.
Therefore:
Plug in the values
Cross multiply
AP × 10 = 8 × 9
AP × 10 = 72
Divide both sides by 10
AP = 7.2
PB = AB - AP
PB = 9 - 7.2
PB = 1.8
Answer:
Step-by-step explanation:
y = -12x - 1
y = 14x - 4
-12x - 1 = 14x - 4
-1 + 4 = 14x + 12x
3 = 26x
3/26 = x
y = 14x - 4
y = 14(3/26) - 4
y = 42/26 - 4
y = 42/26 - 104/26
y = - 62/26 reduces to - 31/13
solution : x = 3/26 and y = -31/13 or (3/26,-31/13)
Required inequality is 1.5x + 3 < 18 and solution is x < 10, that is number of months svetlana can allow her hair to grow must be less than 10 so that her hair length will be less that 18 cm
<u>Solution:</u>
Given that
Svetlana's hair is 3 cm long.
Her hair grows 1.5 cm per month
Need to write an inequality to determine the number of months Svetlana can allow her hair to grow.
Let assume number of months Svetlana can allow her hair to grow be represented by variable "x"
Length of hair grows in one month = 1.5 cm
So Length of hair grows in "x" months =
As Svetlana wanted her hair to be less than 18 cm long
So Length of hair grows in "x" months plus current length of hair must be less than 18 cm
=> 1.5x + 3 < 18
On solving the above inequality for "x" we get ,
1.5x < 18 – 3
=> 1.5x < 15
=>
=> x < 10
Thus required inequality is 1.5x + 3 < 18
Number of months sultana can allow her hair to grow must be less than 10 so that her hair length will be less that 18 cm.
Answer:
The high of the water is<u> 2 cm.</u>
Step-by-step explanation:
The equation of this volume is:
We know that the volume is 900 cm³. So we just need to put this value in the above equation and solve it for x, which is the height.
Therefore, the <u>high of the water is 2 cm.</u>
I hope it helps you!