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podryga [215]
3 years ago
6

If x=2, y=3 and z=1 then find the value of 1/2 x + 3/4 y

Mathematics
2 answers:
Nuetrik [128]3 years ago
7 0

Answer:

1 1/4

Step-by-step explanation:

x=2, y=3, and z=1

1/2(2)+3/4(3)=1+3/12=1 1/4

Anna71 [15]3 years ago
5 0

Answer:

decimal = 3.25

fraction = \frac{13}{4}

Step-by-step explanation:

since x and y are the only 2 variables being expressed in the question then it makes "z" irrelevant.

Therefore, you just need to plug in x and y into your question

(\frac{1}{2} × (2)) +( \frac{3}{4} × (3)) = 1 + 2.25 = 3.25 or \frac{13}{4}

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A rectangular lamina of uniform density is situated with opposite corners at (0,0) and (15,4). calculate its radii of gyration a
Sphinxa [80]
First, you have to find the moment of inertia along the x and y axes. Constant density is denoted as k.


I_{x}= \int\limits^15_0\int\limits^4_0 {k y^{2} } \, dx  dy= \frac{1}{3}k (15-4)^4=4880.33k

I_{y}= \int\limits^15_0\int\limits^4_0 {k x^{2} } \, dx  dy= \frac{1}{3}k (15-4)^4=4880.33k

Then, the radii of gyration for

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where m = k(15-4)² = 121k. Then,

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X=32

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