Answer:
z=16
Step-by-step explanation:
10=z-6
10+6=z-6+6
16=z
Answer:7
Step-by-step explanation:
<u>Complete Question:</u>
Which statement best describes why liquid water exists on earth?
A. Earth experiences comet crashes and volcanic eruptions.
B. Earth experiences a strong magnetic field and lunar tides.
C. Earth has moderate temperatures and a strong gravitational force.
D. Earth has hydrogen bonds with the sun
<u>Correct Answer:</u>
Earth has a moderate temperature and strong gravitational force. This is the reason for existence of liquid water on Earth.
<u>Step-by-step explanation:</u>
Liquid water has the chemical formula of H₂O. So it is composed of mainly hydrogen and oxygen molecules with the present of different materials present in it based on the place it is located. As the water molecules are bonded by weak van der waals bond, it can be easily broken with the boiling point of 100 °C.
Thus, the existence of liquid water is possible in moderate temperature. Also the strong gravitational force of Earth helps to keep the liquid water stable in Earth. Thus, the strong gravitational force and the moderate temperature condition of Earth is responsible for liquid water existence on Earth.
We know that
<span>the regular hexagon can be divided into 6 equilateral triangles
</span>
area of one equilateral triangle=s²*√3/4
for s=3 in
area of one equilateral triangle=9*√3/4 in²
area of a circle=pi*r²
in this problem the radius is equal to the side of a regular hexagon
r=3 in
area of the circle=pi*3²-----> 9*pi in²
we divide that area into 6 equal parts------> 9*pi/6----> 3*pi/2 in²
the area of a segment formed by a side of the hexagon and the circle is equal to <span>1/6 of the area of the circle minus the area of 1 equilateral triangle
</span>so
[ (3/2)*pi in²-(9/4)*√3 in²]
the answer is
[ (3/2)*pi in²-(9/4)*√3 in²]
<u>Given</u>:
The given expression is ![(\sqrt{5})( \sqrt[3]{5})](https://tex.z-dn.net/?f=%28%5Csqrt%7B5%7D%29%28%20%5Csqrt%5B3%5D%7B5%7D%29)
We need to simplify the given expression.
<u>Simplification</u>:
Let us simplify the given expression.
Rewriting the given expression, we have;
Let us apply the exponent rule 
, we get;
Taking LCM, we have;
Simplifying, we get;
Thus, the simplified value of the given expression is
Hence, Option a is the correct answer.
