1. To solve this problem, you need to remember that an exponential function has the following form:
f(x)=a^x
"a" is the base and "x" is the exponent.
2. It is important to know that the logarithmic functions and the exponential functions are inverse. Then, you have:
c=ln2
e^c=e^(ln2)
e^c=2
3. Therefore, the answer is:
e^c=2
Answer:
59)
Therefore the height of the pyramid is 14 meter.
60)
Therefore the Diameter of Cone is 17.32 cm.
Step-by-step explanation:
59 )
Given:
Shape is Rectangular Pyramid,
Length = 3 meter
Width = 8 meter
Volume of Rectangular Pyramid = 112 cubic meter
To Find:
Height:
Solution:
We Know,

Substituting the given values we have

Therefore the height of the pyramid is 14 meter.
60 )
Thee shape is of Cone
Given:
Height= 5 cm
Volume of cone = 125 π cm³
To Find:
Diameter of a cone = d = ?
Solution:
We know,

Substituting the given values we have

Therefore the Diameter of Cone is 17.32 cm.
Answer:
100°, 104°, 108°, 112°,116°
Step-by-step explanation:
Let the smallest angle be
. Since, the interior angles are consecutive, the other angles are
,
,
and
.
Sum of interior angles = 540°
°
°
°
°
°

Using the value of x to calculate the angles:
°
°
°
°
°
To get a fraction as a decimal, you have to divide the numerator by the denominator (commonly on a calculator, which is the easiest).
In this case, divide 20 by 100 to get the answer of 0.2.
So, 20/100 as a decimal is 0.2.
It is 5 1/9 after being simplified