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mars1129 [50]
4 years ago
8

What is the volume of a cubic crystal with one face that has an area of 9 cm²?​

Mathematics
1 answer:
Ulleksa [173]4 years ago
4 0

Answer:

The volume is 27 cubic cm.

Step-by-step explanation:

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Write each expression as an equivalent expression with a single logarithm. Assume xx, yy, and zz are positive real
Alekssandra [29.7K]

Answer:

\ln(\frac{xx + yy}{zz})^{\frac{1}{2}}

Step-by-step explanation:

Given:

1/2(ln(xx + yy) − ln(zz))

Now,

From the properties of log function,

1)  n × ln(x) = ln(xⁿ)

and,

2)  ln(A) - ln(B) = \ln\frac{A}{B}

applying the properties in the given equation

we get the above equation as:

\frac{1}{2}(\ln\frac{xx + yy}{zz})        

( using the property 2 we get (ln(xx + yy) − ln(zz) = \ln\frac{xx + yy}{zz}  

or

⇒ \ln(\frac{xx + yy}{zz})^{\frac{1}{2}}    ( using the property 1 i.e n × ln(x) = ln(xⁿ) )

expression as an equivalent expression with a single logarithm is \ln(\frac{xx + yy}{zz})^{\frac{1}{2}}

3 0
3 years ago
A tree struck by lightning broke at a point 12 ft above the ground as shown. What was the height of the tree to the nearest tent
forsale [732]
51, because 39+12=51. You just add both parts of the tree. Please Rate Brainliest.
6 0
3 years ago
Construct a quadrilateral ABCD in which AB = 4 cm, BC = 7 cm, angle A = angle C = 105 degree
Lelu [443]

Answer: see attachment

<u>Step-by-step explanation:</u>

Since A = C = 105° and D = 60°,

then A + B + C + D = 360°

     105° + B + 105° + 60° = 260°

               B + 270° = 360°

                          B = 90°      

     

7 0
4 years ago
For the function y = -2+5sin(pi/12(x-2)), what is the maximum value?
myrzilka [38]
To get the function y = <span>-2+5sin(pi/12(x-2)), the maximum value can be determined by differentiating the function and equating it to zero. The value of x will give the maximum value of the function.
dy/dx = 5 cos (pi/12 (x-2)) (pi/12)
dy/dx = 5 pi/12 cos(pi/12 (x-2))

Equate to zero</span>:
<span>5 pi/12 cos(pi/12 (x-2)) =0
pi/12 (x-2) = 3pi/2
x = 8

Substituting,
y= -2 + 5sin( pi/12 (8-2)
y = -1.86
</span>
8 0
3 years ago
What is the radius and diameter of the following circle?
belka [17]

Answer:

Radius = 5.1

Diameter = 10.2

Step-by-step explanation:

Radius is a straight line that connects the center of a circle to a point on the circumference (outside of the circle).

Diameter is a straight line that goes through the center of a circle and connects two points on the circumference (outside of the circle).

The line shown goes from the center to the outside of the circle, so it is the radius

6 0
3 years ago
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