ANSWER
The length of a Diameter is 3.714
EXPLANATION
The circumscribed triangle is shown in the attachment.
We use the cosine ratio to find the altitude of the isosceles triangle.


Altitude =8cos(60°)
Altitude=4cm
Let the upper half of the altitude be y cm.
Then the radius of the circle is (y-4)cm
The upper radius meets the tangent at right angles.
From the smaller right triangle,






y=1.857
The diameter is 2y

=2(1.875)
The length of a Diameter is 3.714
Answer:
3. 10000
Step-by-step explanation:
Given the following :
Number of gumball cartons = 3
Number of boxes per carton = 100
Number of gumballs per box = 100
The number of gumballs can be expressed in the form : (a. 10) ; where ; a = prime number ; b = whole number
Values of a and b?
Total number of gumballs :
Number of carton × number of boxes per carton × number of gumballs per box
3 × 100 × 100
Hence, writing the expression in the form: a. 10
a. 10 = 3 × 10000
Answer:
A
Step-by-step explanation:
200+150+150=500
500-500=0
Answer:
Kindly check explanation
Step-by-step explanation:
Given the formula :
Pn = 25.8(1.0219)^h to predict the population of Ghana ;
The equation given is in the form of an exponential function:
The general form of an exponential distribution :
y = ab^x
a = Initial value ; b = constant multiplier or growth or Decay factor
Comparing :
The number in parenthesis = 1.0219 = b
b = Decay or growth factor :
Since b > 1 ; then We have a growth factor;
b = 1 + rate
1.0219 = 1 + rate
Rate = 1.0219 - 1
Rate = 0.0219
Hence, the population is growing at a rate of about (0.0219)*100% = 2.19%