Answer:
There are no extraneous solutions
Reasoning:
An extraneous solution is a solution that isn't valid, it might be imaginary like the square root of a negative number.
first we want to isolate z:
1+sqrt(z)=sqrt(z+5)
^2 all ^2 all
(1+sqrt(z))(1+sqrt(z))=z+5
expand
1+2sqrt(z)+z=z+5
-1 -z -z -1
2sqrt(z)=4
/2 /2
sqrt(z)=2
^2 all ^2 all
z=4
Since there is one solution and it is a real number, there are no extraneous solutions.
Answer:
20 is 10% of 200
Step-by-step explanation:
We have, 10% × x = 20
or,
10
100
× x = 20
Multiplying both sides by 100 and dividing both sides by 10,
we have x = 20 ×
100
10
x = 200
If you are using a calculator, simply enter 20×100÷10, which will give you the answer.
Answer:
side length a = 2 cm
Step-by-step explanation:
side length a = 2 cm
face diagonal f = 2.8284271247462 cm
solid diagonal d = 3.4641016151378 cm
surface area S = 24 cm^2
volume V = 8 cm^3
Answer:
73.3
Step-by-step explanation:
7%=7÷100=0.07 ×60=4.2
15%=15÷100=0.15×60=9
add you answers to 60 and to should get 73.2
Answer:
24 ft cubed
Step-by-step explanation:
The volume of a rectangular prism is denoted by the formula: 
, where 
is the length, w is the width, and h is the height.
Looking at the diagram, we can see that the length is 2 ft (so = 2), the width is 4 ft (so w = 4), and the height is 3 ft (so h = 3). Now, we can just plug in these values to find V, the volume:
Thus, the answer is 24 ft cubed.
Hope this helps!
