First:
2x + 2z = 4
2(x+z)=4
x+z=4/2
x=2-z
-x - y - z= -8
-(2-z)-y-z= -8 replace x
-2+z-y-z= -8 (cancel z)
-2-y= -8
6 = y
Then:
-4x + 4y + 5z = 7 replace x and y
-4(2-z)+4*6 + 5z = 7
-8 + 4z + 24 + 5z = 7
16 + 9z = 7
9z = 7 - 16
9z = -9
z = -9/9
z= -1
Finally
x= 2-z replace z
x = 2- (-1)
x = 3
Answer:
y=2x/5-4x
Step-by-step explanation:
multiply z-4y on both sides,match the Ys together and then make y common
Answer:
the other sides are 9 and 12
Step-by-step explanation:
use the Pythagorean theorem.
a^{2} +b^{2} =c^{2}
you know that c^2 is 225 because 15*15=225
a^{2} +b^{2} =225
(from here on I just plugged numbers in)
3:4=9:12
9^{2} +12^{2} =225
81+144=225
225=225
Yaaaaay!
(Also can I please have Brainliest? I need it to level up!)
Answer:
The answer is 527.5km^3 .
Step-by-step explanation:
The formula for cylinders is πr2h. (pie times twice the height)
3.14(12)(2)(7) = 527.52
Answer:
81.85%
Step-by-step explanation:
Given :
The average summer temperature in Anchorage is 69°F.
The daily temperature is normally distributed with a standard deviation of 7°F .
To Find:What percentage of the time would the temperature be between 55°F and 76°F?
Solution:
Mean = 
Standard deviation = 
Formula : 
Now At x = 55


At x = 76


Now to find P(55<z<76)
P(2<z<-1)=P(z<2)-P(z>-1)
Using z table :
P(2<z<-1)=P(z<2)-P(z>-1)=0.9772-0.1587=0.8185
Now percentage of the time would the temperature be between 55°F and 76°F = 
Hence If the daily temperature is normally distributed with a standard deviation of 7°F, 81.85% of the time would the temperature be between 55°F and 76°F.