Answer: The length of the dilated segment is 4.
Step-by-step explanation:
6/ 1 * 2/3 = 12 /3= 4
Answer:
100
Step-by-step explanation:
start with what's in the parenthesis':
8 (9.75 - 3.25) + 12 x 4 = 8 (6.50) + 12 x 4
then take the number outside of the parenthesis' time the number inside of them:
8 (6.50) + 12 x 4 = 52 + 12 x 4
now, take the product of the two number on the right side of the addition sign:
52 + 12 x 4 = 52 + 48
finally, add the final two numbers together:
52 + 48 = 100
The function represented by f(x) = (1/2)(3)ˣ is an exponential growth
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two numbers and variables.
An independent variable is a variable that does not depend on any other variable for its value whereas a dependent variable is a variable that depend on any other variable for its value.
The independent variable in the function f(c) = 2c + 9 is c whereas the dependent variable is f.
Find out more on equation at: brainly.com/question/2972832
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The independent variable in the function f(c) = 2c + 9 is c whereas the dependent variable is f.
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two numbers and variables.
An independent variable is a variable that does not depend on any other variable for its value whereas a dependent variable is a variable that depend on any other variable for its value.
An exponential function is in the form:
y = abˣ
Where a is the initial value and b is the multiplication factor.
If b > 1, it is an exponential growth but if b < 1, it is an exponential decay.
Given the function:
f(x) = (1/2)(3)ˣ
since 3 > 1, it is an exponential growth.
The function represented by f(x) = (1/2)(3)ˣ is an exponential growth
Find out more on equation at: brainly.com/question/2972832
#SPJ1
*see attachment for the diagram
Answer:
A. 178 units²
Step-by-step explanation:
Surface area of the figure = (surface area of the square pyramid + surface area of the square prism) - 2(base area of the square pyramid)
✔️Surface area of the square pyramid = s² + 2*s*l
Where,
s = side length of square base (w) = 6 units
l = slant height = ?
Use Pythagorean theorem to find l
l = √((w/2)² + y²)
l = √((6/2)² + 5²) = √(9 + 25)
l = √34
l ≈ 5.8 units
Surface area of the square pyramid = 6² + 2*6*5.8 = 105.6 units²
✔️Surface area of square prism:
SA = 2a² + 4ah
Where,
a = w = 6 units
h = x = 3 units
Substitute
SA = 2(6²) + 4*6*3
= 72 + 72
= 144 units²
✔️base area of the square pyramid = s²
s = w
Base area = 6²
Base area = 36 units²
✅Surface area of the figure = (surface area of the square pyramid + surface area of the square prism) - 2(base area of the square pyramid)
Surface area of the figure = (105.6 + 144) - 2(36)
= 249.6 - 72
= 177.6
≈ 178 units²
