Answer:
The answer is 1767.15cm^3
Step-by-step explanation:
The formula for finding the volume of a spherical object is 4/3(π)(r^3),where r is the radius of the object. But here only the diameter was given. And diameter=2(r), where r is radius.
So to find the radius, divide the diameter by 2. Since by making r the subject of the equation you get r=diameter/2.
Using the formula
4/3(π)(r^3)=(4π((15/2)^3))/3
=(4π(7.5^3)/3
=(4π(421.875))/3
Since π is 3.141592654
(4π(421.875))/3=1/3(4(3.141592654)(421.875))
=1/3(5301.437603)
=1767.145868
But I rounded off the answer to 2 decimal places and so I got 1767.14
1)Rewrite the table:
70, 49, 34.3, 24.01, 11.807 {The original size of the wound =70}
2) write the quotient of each number by the number before & notice the value:
49/70= 0.7
34.3/49 = 0.7
24.01/34.3 =0.7
16.0807/24.01 = 0.67 ≈0.7
You notice this is a geometric progression with r 0.7
The last term in a GP =ar^⁽ⁿ⁻¹⁾
3) Domain and Range of this function:
Last term = a₁.rⁿ⁻¹. let last term be y==> f(n) = y =70(0.7)ⁿ⁻¹
or f(n) = y = 70(0.7)ⁿ / 0.7==> f(n) = [(0.7)ⁿ ]/ 100.
This is a decreasing exponential function where the coefficient
raised to n is < 1.
The domain is for all n>= 0.
When n→∞, f(n)→0; For n=0==>f(n) =70. So the range of f(n) is:<=70
No info was given, plz post a pic of the equation
Answer:
m<A=97
m<B=97
Step-by-step explanation:
m<A=m<B
Congruent angles and they are vertical angles. The other two are also the same because the angles given have the same degrees.
m<A is supplementary to 83 degrees
Supplementary angles are two angles that sum up to 180 degrees.
180-83=97
97 degrees is the answer for each missing angles.
ln(20) + ln(5) = 2 ln(<em>x</em>)
ln(20×5) = ln(<em>x</em> ²)
ln(100) = ln(<em>x</em> ²)
100 = <em>x</em> ²
<em>x</em> = 10
