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2 years ago

Find the surface area of the rectangular prism (above) using its net (below). need help pls guy.

Mathematics

1 answer:

Lena [83]2 years ago

6 0

Answer:

Step-by-step explanation:

3 x 5 = 15

3 x 2 = 6

2 x 5 = 10

15 x 2 = 30

6 x 2 = 12

10 x 2 = 20

30 + 12 + 20 = 62

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Using mathematical induction prove whether or not the following statement is true for all positive integers n, or show why it is

aniked [119]

Base case: For $n=1$ , the left side is 2 and the right is $2\cdot1^2=2$ , so the base case holds.

Induction hypothesis: Assume the statement is true for $n=k$ , that is

$2+6+10+\cdots+4k-2=2k^2$

We want to show that this implies truth for $n=k+1$ , that

$2+6+10+\cdots+4k-2+4(k+1)-2=2(k+1)^2$

The first $k$ terms on the left reduce according to the assumption above, and we can simplify the $k+1$ -th term a bit:

$\underbrace{2+6+10+\cdots+4k-2}_{2k^2}+4k+2$

$2k^2+4k+2=2(k^2+2k+1)=2(k+1)^2$

so the statement is true for all $n\in\mathbb N$ .

5 0

3 years ago

What is the area of the shaded area?

denis-greek [22]

First you want to find the area of the square, which would be 121. ( 11 x 11 )

Next you want to find the area of the circle, 78.54 ((pi)5^2)

Last, you want to subtract the area of the circle, from the area of the square that is shaded. Youre left with 42.46

Hope this helped

7 0

3 years ago

Read 2 more answers

Can someone answer this? 8x^{-2/3}

Leya [2.2K]

Answer:

1 / 4 = 0. 25

Step-by-step explanation:

8x^{-2/3}

= 1 / 4

= 0. 25

mark brainliest

7 0

3 years ago

Please help me out with this!

bezimeni [28]

Answer:

Step-by-step explanation:

z=(180-124-16)/2

4 0

3 years ago

Read 2 more answers

Y - 0.8x = 0.5

Sveta_85 [38]

Answer:

$y=\frac{5+8x}{10} , x=x$

Step-by-step explanation:

y-0.8x=0.5

y*10-0.8x*10=0.5*10

10y-8x=5

10y-8x+8x=5+8x

10y/10=5/10+8x/10

y=5+8x/10

5*5+8x/10-2.5

8x+5/2-2.5=4x

y=5+8x/10, x=x

7 0

3 years ago