Answer:
Step-by-step explanation:
Since the sequence is geometric (it multiplies the previous number each time). The nth term sequence would be 
Because the sequence multiplies by 3 each time, The base number in that equation would be 
.
So 
of the equation would be:
.
Compare the 2 equations:
4, 12, 36
3, 9 ,27
The difference between the 2 equations is: 1, 3, 9 which itself is a geometric sequence so the nth term of this new equation is: 
.
Combine these 2 equations together and you get:
.
Answer:
Step-by-step explanation:The model will be of length 0.4 ft and the width being 0.28 feet
Step-by-step explanation:
Step 1.We know that the length of the building is 200 feet, and that the width of the building is 140 feet.
Step 2. the question tells us that "a 1/500 model is built of the building", meaning the problem wants to create a model using the ratio 1 feet for each 500 feet.
Step 3.So now to find the length and width of the model, we need to divide the given sides by 500.
Step 4. Side length of the Model = 200/500 = 2/5 = 0.4 feet
Step 5. Side width of the Model = 140/500 = 14/50 = 0.28 feet
There for giving us our final answer... "The model will be of length 0.4 feet and width 0.28 feet."
Hope I could help! :)
Answer:
Two of those figures have a vertex.
Step-by-step explanation:
Hope this helped Mark BRAINLIEST!!!
Answer: 5.76 miles
Step-by-step explanation:
Let the distance between Victoria and Georgetown on the map be represented by x.
The information given in the question can then be formed into an expression which will be:
0.9/x = 10.5/67.2
Cross multiply
(10.5 × x) = 67.2 × 0.9
10.5x = 60.48
x = 60.48/10.5
x = 5.76
The answer is 5.76 miles
