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Assoli18 [71]
2 years ago
10

Help meeeee please. ‼️‼️‼️‼️

Mathematics
1 answer:
KatRina [158]2 years ago
8 0

Step-by-step explanation:

look at the picture !

she has to paint actually 6 rectangles :

the 3 tops of the 3 stairs.

and the 3 vertical front boards (the front of each step of the stairs).

what is the area of these rectangles ? summing up all 6 - that is the surface area to be painted.

each top rectangle is clearly

82×19 (19 cm deep) = 1558 cm²

each front board is

82×12 (12 cm high) = 984 cm²

so, in total we have

3×1558 + 3×984 = 4674 + 2952 = 7626 cm²

as surface area to be painted.

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Please help me with this.
Andrej [43]
a_{n} = +(n-1)d

We are given the first term and the common difference.

So,

a_{1}=-10 \\ \\ d=5

Using these values in the given equation, we get:

a_{n} =-10+(n-1)*5 \\  \\ 
 a_{n} = -10 + 5n - 5 \\  \\ 
 a_{n} = 5n -15

So, option C gives the correct answer.
3 0
3 years ago
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Stella [2.4K]
The average number of siblings will be larger than before
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Indefinite integral need help pleaseeeeeee
tatiyna
Integrate indefinite integral:
I=\int\frac{dx}{e^{2x}+3e^x+2}dx

Solution:
1. use substitution u=e^x 
=>
du=e^xdx
=>
dx=\frac{du}{e^x}
=>
dx=\frac{du}{u}
=>
I=\int\frac{du}{u(u^2+3u+2)}du
=\int\frac{du}{u(u+2)(u+1)}du
2. decompose into partial fractions
\frac{1}{u(u+2)(u+1)}
=\frac{A}{u}+\frac{B}{u+2}+\frac{C}{u+1}
where A=1/2, B=1/2, C=-1
=\frac{1}{2u}+\frac{1}{2(u+2)}-\frac{1}{u+1}
3. Substitute partial fractions and continue
I=\int\frac{du}{2u}+\int\frac{du}{2(u+2)}-\int\frac{du}{u+1}
=\frac{log(u)}{2}+\frac{log(u+2)}{2}-log(u+1)}
4. back-substitute u=e^x
=\frac{log(e^x)}{2}+\frac{log(e^x+2)}{2}-log(e^x+1)}
=\frac{x}{2}+\frac{log(e^x+2)}{2}-log(e^x+1)}

Note: log(x) stands for natural log, and NOT log10(x)

7 0
3 years ago
What is the least common denominator for 1/9 and 5/2
schepotkina [342]

Answer: 18

Step-by-step explanation:

1/9 = 2/18

5/2 = 45/18

6 0
2 years ago
Select the correct answer.
fenix001 [56]

Answer:

B

Step-by-step explanation:

substitute

6+4=10

12-3=9

4-9=-5

7 0
2 years ago
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