Answer:
9, 32 and 36
Step-by-step explanation:
The perimeter of a triangle is the sum of all the sides. Since you know the perimeter and the expressions for each of the sides, you can set up an equation to solve for the variable and find the values of the other sides:
one side: '4 times the shortest side' = 4s
shortest side: 's'
third side: '23 more than the shortest side' = s + 23
perimeter = 77
Equation: 4s + s + (s + 23) = 77
Combine like terms: 6s + 23 = 77
Subtract 23 from both sides: 6s + 23 - 23 = 77 - 23 or 6s = 54
Divide by 6: 6s/6 = 54/6 or s = 9
one side: 4s = 4(9) = 36
shortest side: s = 9
third side: s + 23 = 9 + 23 = 32
30,1416 I'm pretty sure this is the answer
We can use the ratios for special triangles (see the attachment below). We'll be using the 45-45-90 triangle. We notice that side BC is equal to
![x \sqrt{2}](https://tex.z-dn.net/?f=x%20%5Csqrt%7B2%7D%20)
, and side AC (x using the special right triangle) is equal to 16. We can therefore say that side BC is equal to
![16 \sqrt{2}](https://tex.z-dn.net/?f=16%20%5Csqrt%7B2%7D%20)
ft
:)
To answer this question you will use the formula for circumference of a circle to find how far around one revolution is.
C = pi x d
3.14 x 32
C = 100.48 feet
Multiply the distance around one time by 4.3 to get the distance traveled in one revolution and then multiply it by 3 for the 3 minutes.
100.48 x 4.3 x 3 = 1296.19 feet
This is approximate and is closest to answer choice D.
Answer:
g(x) = (x-3)³ is the transformed function.
Step-by-step explanation:
Horizontal shift:
If f(x) is the parent function.
Then horizontal shift can be expressed as:
, will shift left units.
, will shift
right c units.
Given the parent function
f(x) = x³
From the graph, it is clear that the transformed function is indicating that the parent function has been horizontally shifted right 3 units.
Therefore, according to the rule,
:
g(x) = (x-3)³ is the transformed function.
From the graph,
- The Red graph indicates the parent function i.e. f(x) = x³
- The Blue graph indicates the transformed function i.e. g(x) = (x-3)³
It is clear that the blue graph is obtained when the parent function has been horizontally shifted right 3 units.
Therefore, g(x) = (x-3)³ is the transformed function.