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Sergeeva-Olga [200]
2 years ago
8

Select the correct answer.

Mathematics
1 answer:
7nadin3 [17]2 years ago
3 0

Answer:

A: Designing the layout.

Step-by-step explanation:

Remember this: Geometry uses shapes.

Let's use the process of elimination.

D is eliminated because it does not use shapes.

C is eliminated because it uses numbers, not shapes.

B is eliminated because it uses science, not math or shapes.

A uses shapes in order to design a structure.

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What term is used to describe a systematic repayment of a loan through a set number of payments at a specific rate?
Elden [556K]

Answer:

Credit

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Show that 3 · 4^n + 51 is divisible by 3 and 9 for all positive integers n.
-BARSIC- [3]

Answer:

Step-by-step explanation:

Hello, please consider the following.

3\cdot 4^n+51=3\cdot 4^n+3\cdot 17=3(4^n+17)

So this is divisible by 3.

Now, to prove that this is divisible by 9 = 3*3 we need to prove that

4^n+17 is divisible by 3. We will prove it by induction.

Step 1 - for n = 1

4+17=21= 3*7 this is true

Step 2 - we assume this is true for k so 4^k+17 is divisible by 3

and we check what happens for k+1

4^{k+1}+17=4\cdot 4^k+17=3\cdot 4^k + 4^k+17

3\cdot 4^k is divisible by 3 and

4^k+17 is divisible by 3, by induction hypothesis

So, the sum is divisible by 3.

Step 3 - Conclusion

We just prove that 4^n+17 is divisible by 3 for all positive integers n.

Thanks

4 0
3 years ago
If a car is 13.5 feet long and there are 3 feet between each car, how many cars can be on a mile section of the highway?
Vikentia [17]

1 mile = 5,280 feet

Car + space = 13.5 + 3 = 16.5 feet

5,280 / 16.5 = 320

Answer: 320 cars

6 0
2 years ago
R’(-1, 9) is the image of R after a reflection in the x-axis. What are the coordinates of R?
xz_007 [3.2K]

Answer:

<h3>            R(-1, -9)</h3>

Step-by-step explanation:

When we reflect over x-axis then the x-coordinate doesn't change and the y-coordinate changes its sign

in means  if R = (x, y) then R' = (x, -y)

so we have:

x = -1    and      -y = 9

                        y = -9

which gives R = (-1, -9)

6 0
3 years ago
Determine if the triangle with the given sides is acute, obtuse, or right. 36, 49, 60
kotykmax [81]
<span>When given 3 triangle sides, to determine if the triangle is acute, right or obtuse:
</span>1) Square all 3 sides.
2) Sum the squares of the 2 shortest sides.
3) Compare this sum to the square of the 3rd side.

if sum > 3rd side²   Acute Triangle
if sum = 3rd side²   Right Triangle<span>
if sum < 3rd side²   Obtuse Triangle

1) 1,296   2,401   3,600
2) Sum = 3,697
3) </span><span>3,697 is greater than 3,600
Therefore, the triangle is acute.

Source:
http://www.1728.org/triantest.htm


</span>
4 0
3 years ago
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