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Anton [14]
3 years ago
6

Given AJKL: AXYZ, find x.

Mathematics
1 answer:
Reil [10]3 years ago
8 0

Answer:

<u>6</u><u> </u> = <u>9</u>

8 x

we cross multiply 6× x = 6x 9×8 = 72

<u>6x</u><u> </u>= <u>72</u>

6 6

x = 12

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What is the total surface area of the drawing?
Soloha48 [4]

Total surface area equals area of 5 rectangular faces + 2 pentagonal faces


Area of 5 rectangular faces

=5 \times 6 \times 9 km^2


=270 km^2


Area of 2 pentagonal faces can be found by drawing 5 isosceles triangles with height as shown in the diagram and multiply the result by 2.


=5 \times \frac{1}{2} \times 9 \times 6.2 \times 2km^2



=279km^2



The toatal surface area is



=270+279=549 km^2


The correct answer is A




3 0
3 years ago
Please Help Math Problem
olasank [31]
In similar triangles the angles equal each other an din this case
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3 years ago
Find Mx, My, and (x, y) for the lamina of uniform density rho bounded by the graphs of the equations. y = x2/3, y = 0, x = 1
erik [133]

Answer:

\mathbf{(\overline x , \overline y ) = (\dfrac{5}{8},  \dfrac{5}{14})}

Step-by-step explanation:

Given that:

y =  x^{2/3} at y = 0 , x = 1

Then:

Area = \int^{1}_{0} x^{2/3} \ dx

Area = \begin {bmatrix} \dfrac{3}{5}x^{5/3} \end {bmatrix} ^1_0

Area = \dfrac{3}{5}

Then:

\overline x = \dfrac{1}{A} \int^b_a x (f(x) -g(x) ) \ dx

\overline x = \dfrac{5}{3} \int^1_0 x (x^{2/3} -0 ) \ dx

\overline x = \dfrac{5}{3} \int^1_0 x^{5/3} \ dx

\overline x = \dfrac{5}{3} \ [\dfrac{3}{8}x^{8/3}]^1_0

\overline x = \dfrac{5}{3} \times \dfrac{3}{8}

\overline x = \dfrac{5}{8}

Similarly;

\overline y = \dfrac{1}{A} \int^b_a \dfrac{1}{2} \begin{bmatrix} (f(x)^)2 - (g(x))^2 \end {bmatrix}  \ dx

\overline y = \dfrac{5}{3} \int^1_0 \dfrac{1}{2} \begin{bmatrix} (f(x^{2/3})^2 -0 \end {bmatrix}  \ dx

\overline y = \dfrac{5}{3} \int^1_0 \dfrac{1}{2} \begin{bmatrix} (x^{4/3} ) \end {bmatrix}  \ dx

\overline y = \dfrac{5}{3} \begin{bmatrix} \dfrac{1}{2}  (x^{7/3} ) \times \dfrac{3}{7} \end {bmatrix} ^1_0

\overline y = \dfrac{5}{3} \begin{bmatrix} \dfrac{3}{14}  (x^{7/3} ) \end {bmatrix} ^1_0

\overline y = (\dfrac{5}{3} \times \dfrac{3}{14} )

\overline y = \dfrac{5}{14}

Thus; \mathbf{(\overline x , \overline y ) = (\dfrac{5}{8},  \dfrac{5}{14})}

4 0
3 years ago
What is the value of x?<br><br><br><br> Enter your answer in the box.<br><br> x =
Lady_Fox [76]
Hi, hope this helps :)

4 0
3 years ago
Please help my son dose not understand this ..!!!!!! I’m asking for help ASAP
jasenka [17]

Answer: Please view the picture below

Step-by-step explanation:

This material should not be too difficult. Please study more. :)

6 0
3 years ago
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