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aliina [53]
3 years ago
8

A lamina occupies the part of the disk x2 + y2 ≤ 4 in the first quadrant. Find the center of mass of the lamina if the density a

t any point is proportional to the square of its distance from the origin. (x, y) =
Mathematics
1 answer:
guajiro [1.7K]3 years ago
5 0

Answer:sei

Step-by-step explanation:

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Triangle ABC has side lengths:
Harlamova29_29 [7]

The length of HJ is 3.5 cm

<h3>What is Congruency?</h3>

Two geometric figures are said to be congruent, or to be in the relation of congruence, if it is possible to superpose one of them on the other so that they coincide throughout.

Given:

AB = 3.5 cm, BC = 2.4 cm, and AC = 4.2 cm

As, ΔABC ≅ ΔHJK

So,

AB = HJ

BC = JK

AC = HK

Thus, HJ= AB = 3.5 cm

Learn more about this concept here:

brainly.com/question/4229988

#SPJ1

8 0
2 years ago
Five pirates share the treasure with Long John Silver. If the treasure is split, by weight, in the ratio 2:5:7:10:20:50, and the
Snezhnost [94]

Answer:

658000

Step-by-step explanation:

3 0
3 years ago
AB and CD are parallel find the value of y<br> Show clearly how you got your answers with reasons
Zina [86]

Answer:

y = 167°

Step-by-step explanation:

The vertex of the triangle = 154° ( alternate angle to 154° )

The triangle has 2 equal legs so is isosceles with 2 base angles congruent

base angle = \frac{180-154}{2} = \frac{26}{2} = 13°

base angle and y are adjacent angles, lie on straight line AB and sum to 180°

y + 13° = 180° ( subtract 13° from both sides )

y = 167°

5 0
2 years ago
The 6 consecutive integers below add up to 447. x − 2 x − 1 x x + 1 x + 2 x + 3 what is the value of x ? f. 72 g. 73 h. 74 j. 75
IrinaVladis [17]
(x-2) + (x-1) + x + (x+1) + (x-2) + (x+3) = 447
6x + 3 = 447
6x = 447 - 3
6x = 444
x = 444/6
x = 74
3 0
3 years ago
Let f and g be the functions defined by f(x) = 10^ (x+2 / 3) and g(x) = log (x3 / 100) for all positive real numbers,
Vaselesa [24]

Answer:

F(x) and g(x) are not inverse functions.

Step-by-step explanation:

In order to calculate the inverse function of a function, we have to isolate X and after that, we change the variables.

As our function f(x) is a exponentian function, we can apply logarithm with base 10 (log) in both sides in order to isolate X. Remember that log10=1.

[tex]y=10^{(x+\frac{2}{3}) }\\\\log y=log 10^{(x+\frac{2}{3}) }\\log y = (x+\frac{2}{3}) . log10\\\frac{log Y}{log10} = (x+\frac{2}{3})\\\frac{log Y}{1} = (x+\frac{2}{3})\\log Y-\frac{2}{3}=x[/tex]

Now we change the variables.

F(x)=log x-\frac{2}{3}

F(x) and g(x) are not inverse functions.

4 0
3 years ago
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