Answer:
1 pi: 3pi
Step-by-step explanation:
Step 1: Formula of surface area and volume of sphere
Surface area of sphere = 4 x pi x r^2
Volume of sphere = <u>4</u> x pi x r^3
3
Step 2: Apply values in the formula
r = radius
radius = diameter/2
r=18/2 = 9
S.A = 4 x pi x 9^2
S.A = 324pi
Volume = <u>4</u> x pi x 9^3
3
Volume = 972pi
Step 3 : Show in ratio
Surface area : Volume
324pi : 972pi
= 1 pi: 3pi
The transformed equation y = -(x - 2)^2 - 3 compared to the parent function involves translating the parent function to the right by 2 units, reflecting the function across the y-axis and translating the function 3 units down
<h3>How to compare the function to its parent function?</h3>
The equation of the transformed function is given as:
y = -(x - 2)^2 - 3
While the equation of the parent function is given as
y = x^2
Start by translating the parent function to the right by 2 units.
This is represented as:
(x, y) = (x - 2, y)
So, we have:
y = (x - 2)^2
Next, reflect the above function across the y-axis
This is represented as:
(x, y) = (-x, y)
So, we have:
y = -(x - 2)^2
Lastly, translate the above function 3 units down
This is represented as:
(x, y) = (x, y - 3)
So, we have:
y = -(x - 2)^2 - 3
Hence, the transformed equation y = -(x - 2)^2 - 3 compared to the parent function involves translating the parent function to the right by 2 units, reflecting the function across the y-axis and translating the function 3 units down
Read more about function transformation at:
brainly.com/question/8241886
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Answer:
x = 30m
Step-by-step explanation:
<u>GIVEN :-</u>
There are 2 right-angled triangles.
In the triangle on the right side ,
- Hypotenuse = 26m
- Base = 10m
In the triangle on the left side ,
<u>TO FIND :-</u>
- Length of the common perpendicular to both triangles.
- Length of the hypotenuse of the triangle on the left side.
<u>FACTS TO KNOW BEFORE SOLVING :-</u>
.
<u>SOLUTION :-</u>
In the triangle on the right side ,
⇒ Perpendicular of the triangle on right side = Perpendicular of the triangle on left side.
In the triangle on the left side ,
∴ x = 30m
Answer:
The goat population reaches 1000 in 12.4 years
Step-by-step explanation:
After <em>t </em>years, the number of goats is given by
where 
is the initial number of goats and <em>b</em> is the per capita growth rate.
From the question,
- <em>b</em> = 0.5
- <em>N</em> = 1000
810
count the number of hours they played which should be 13 hrs and 30 mins,
then since every hour is 60 mins multiply 60 by 13 and then add 30
