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tigry1 [53]
3 years ago
13

In the diagram below what is the relationship between the number of rectangles in the perimeter of the figure they form?

Mathematics
1 answer:
Wewaii [24]3 years ago
8 0

Answer:

the correct answer is the third one.  (1, 16), (2, 20), (3, 24)

Step-by-step explanation:

A perimeter is a path that surrounds a two-dimensional shape.

In the first case, 1 rectangle, the perimeter is the sum of all the sides:

Perimeter = 6 + 2 + 6 + 2 = 16

In the second case, 2 rectangles, the perimeter is the sum of all external sides:

Perimeter = 6 + 2 + 2 + 6 + 2 + 2 = 20

In the third case, three rectangles, the perimeter is the sum of all external sides:

Perimeter = 6 + 2 + 2 + 2 + 6 + 2 + 2 + 2 = 24

In none of the cases, you take into consideration the interal sides. Just the external sides, so the correct answer is the third one.

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Joshua invested $750 in an account paying an interest rate of
Maslowich
Due to the difference in the interest rate and the quarterly compounding, Joshua will have $212.24 more than Josiah.
Step-by-step explanation:
Giving the following information:
Joshua:
Initial investment (PV)= $750
Interest rate (i)= 0.0341/4= 0.008525
Number of periods (n)= 18*4= 72 quarters
Josiah:
Initial investment (PV)= $750
Interest rate (i)= 0.0285
Number of periods (n)= 18 years
To calculate the future value of each one, we need to use the following formula:
FV= PV*(1 + i)^n
Joshua:
FV= 750*(1.008525^72)
FV= $1,381.98
Josiah:
FV= 750*(1.0285^18)
FV= $1,169.74
Due to the difference in the interest rate and the quarterly compounding, Joshua will have $212.24 more than Josiah.
5 0
2 years ago
Use the four-step definition of the derivative to find f'(x) if f(x) = −4x^3 −1.
guapka [62]

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\cfrac{h(-12x^2-12xh-4h^2)}{h}\implies -12x^2-12xh-4h^2 \\\\\\ \lim\limits_{h\to 0}~-12x^2-12xh-4h^2\implies \lim\limits_{h\to 0}~-12x^2-12x(0)-4(0)^2 \\\\[-0.35em] ~\dotfill\\\\ ~\hfill \lim\limits_{h\to 0}~-12x^2~\hfill

7 0
2 years ago
Which answer describes the type of sequence?
rodikova [14]

Answer:

Geometric

Step-by-step explanation:

r=1/3

6 0
3 years ago
Given g(x) = 3x + 3, find g(-6).
Strike441 [17]

Answer:

-15

Step-by-step explanation:

g(x) = 3x + 3

Let x = -6

g(-6) = 3*-6 + 3

           = -18 +3

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6 0
3 years ago
Which expression is equivalent to sec^2x − 1? a. cot2x b. tan2x c. csc2x d. cos2x
Nesterboy [21]
Sec^2 x - 1 = tan^2x

Proof:
Sec^2x = 1+ tan^2x

1/cos^2x = 1 + sin^2x/cos^2x

<span>1/cos^2x - sin^2x/cos^2x = 1
</span>Using common denominator:
(1-sin^2x)/cos^2x = 1
sin^2x + cos^2 x = 1
cos^2 x = 1 - sin^2x
Substituting : 
cos^2x/<span>cos^2x = 1
</span>1 = 1
Left hand side = right hand side 
4 0
3 years ago
Read 2 more answers
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