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3 years ago

I need help on these problems please

Mathematics

1 answer:

Art [367]3 years ago

6 0

The remote interior angles of a triangle are basically the two angles that do not share a vertex with and are opposite to the exterior angle.

5. ∠1 and ∠2
6. ∠2 and ∠3
7. ∠1 and ∠3

Because the exterior angle of a triangle is equal to the remote interior angles we can set up the following equations:
8.
$x + 80 = 105 \\ x = 105 - 80 \\ x = 25$
9.
$x + 72 = 135 \\ x = 135 - 72 \\ x = 63$

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A spinning giant star of initial radius R1 and angular speed ω1 suddenly collapses radially inward reaching a new radius R2 = 0.

tiny-mole [99]

Answer:

K1/K2=4

Step-by-step explanation:

The kinetic energy of a rotating sphere is given by:

$K=\frac{I*\omega^{2} }{2}$

The moment of inertia of a solid sphere is given by

$I=\frac{2MR^{2} }{5}$

The initial kinetic energy is therefore

$K_1=\frac{2MR^{2}*\omega^{2} }{10}$

$K_1=\frac{MR_1^{2}*\omega^{2} }{5}$

The final kinetic energy is given by

$K_2=\frac{MR_2^{2}*\omega^{2} }{5}$

Therefore the relation K1/K2 if R2 = 0.5R1

$\frac{K_1}{K_2} =\frac{5M(R_1)^{2}*\omega^{2} }{5*M(0.5R_1)^{2} \omega^{2}}$

The text says nothing about the final angular velocity just the collapse of the collapse of the radius

$\frac{K_1}{K_2} =\frac{1 }{(0.5)^{2} }=4$

3 0

3 years ago

Evaluate 5p to the power of 3 when p = -2

Mrac [35]

5(-2)^3 5(-2) is -10 to the power of 3 is -1000

7 0

3 years ago

Read 2 more answers

a rectangle has a length if x + 7 centimeters. The perimeter of the rectangle is 23 centimeter. What is the value of x

Tems11 [23]

$23 = 14 + 2x$
$reasoning \: for \: each \: term \: in \: the \\ \: above \: equation\\ \\ p = 23 \\ 14 = 7 \times 2 \\ 2x = 2 \times x$
$\: \: \: \: \: 23 - 14 \: \: \: \: \: \: \: \: \: \: \: \: \: \: 14 + 2x - 14 \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 9 = 2x$
$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 9 \div 2 \: \: \: \: \: \: \: \: \: 2x \div 2 \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 4.5 = x$
So, the answer is 4.5

8 0

3 years ago

How do I solve for x? (the picture has the problem)

max2010maxim [7]

Answer:

x = 21.013155617496

Step-by-step explanation:

we have a right triangle then ,

$\cos \left( 36\right) =\frac{17}{x}$