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Crazy boy [7]
3 years ago
13

Help please I’m stuck

Mathematics
2 answers:
Jlenok [28]3 years ago
4 0
12:4=3
9:3=3
so u multiply each side by 3 to get the second triangle..
answer: 4.5*3 =13.5
aniked [119]3 years ago
4 0

Answer:

k = 13.5 units

Step-by-step explanation:

Look for the similarity ratio.

Side YZ is similar to side BC because 9 is a factor of 3.

Side XZ is also similar to side AC since 12 is a factor of 4.

And the common thing between the factors is that they were both multiplied by 3.

3 × 3 = 9

4 × 3 = 12

So for the last side, which is 4.5, we have to multiply it by 3.

4.5 × 3 = 13.5

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Estimate the integral ∫6,0 x^2dx by the midpoint estimate, n = 6
Anettt [7]
Splitting up the interval [0, 6] into 6 subintervals means we have

[0,1]\cup[1,2]\cup[2,3]\cup\cdots\cup[5,6]

and the respective midpoints are \dfrac12,\dfrac32,\dfrac52,\ldots,\dfrac{11}2. We can write these sequentially as {x_i}^*=\dfrac{2i+1}2 where 0\le i\le5.

So the integral is approximately

\displaystyle\int_0^6x^2\,\mathrm dx\approx\sum_{i=0}^5({x_i}^*)^2\Delta x_i=\frac{6-0}6\sum_{i=0}^5({x_i}^*)^2=\sum_{i=0}^5\left(\frac{2i+1}2\right)^2

Recall that

\displaystyle\sum_{i=1}^ni^2=\frac{n(n+1)(2n+1)}6
\displaystyle\sum_{i=1}^ni=\frac{n(n+1)}2
\displaystyle\sum_{i=1}^n1=n

so our sum becomes

\displaystyle\sum_{i=0}^5\left(\frac{2i+1}2\right)^2=\sum_{i=0}^5\left(i^2+i+\frac14\right)
=\displaystyle\frac{5(6)(11)}6+\frac{5(6)}2+\frac54=\frac{143}2

8 0
3 years ago
What is the area of a rectangle that has lenghts of 2/5 foot and 3/8
spin [16.1K]
0.15 as fraction or multiply 3/8 and 2/5
8 0
4 years ago
Read 2 more answers
What is the greatest common factor of 14 56 63?
olga55 [171]
14: 1 × 14
      2 × 7

56: 1 × 56
      2 × 28
      4 × 14
      7 × 8

63: 1 × 63
      3 × 21
      7 × 9
GCF(14, 56, 63) = 7
6 0
3 years ago
I need help please and thank you.
kogti [31]

Step-by-step explanation:

\frac{2x}{5}  +  \frac{1}{3}  =  \frac{7x - 2}{15}

\frac{6x + 5}{15}  =  \frac{7x - 2}{15}

6x + 5 = 7x - 2

6x - 7x =  - 2 - 5

- x =  - 7

x = 7

option (4)

6 0
3 years ago
Simplify this (2x)^{3}
Margaret [11]

Answer:

8x^3

Step-by-step explanation:

(2x)3

=(2x)3

=2x*2x*2x

=8x^3

7 0
3 years ago
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