MATHEMATICS COLLEGE

PLZ HELP ASAP RADIANS AND ARC LENGTH

Answers

Answer 1

Answer:

By definition, the arc length is given by:

S = R * theta

Where,

R: radio

Theta: central angle

Clearing the angle we have:

Theta = S / R

Substituting values:

Theta = 6/4

Simplifying:

Theta = 3/2

Answer:

Theta angle is:

Theta = 3/2

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The rectangular prism shown is formed by six intersecting planes.Where do the planes ABFE and EFGH intersect

Answers

The planes ABFE and EFGH intersected by line EF.

What is Prism?

A prism is a polyhedron in geometry made up of an n-sidedpolygon basis, a second base that is a rigidly translated copy of the first base, and n additional faces that must all be parallelograms and connect the corresponding sides of the two bases.

We have cuboidal prism which have faces ABFE and EFGH.

To find the point for intersecting we have to find a point or line which is common in both planes.

Here the point E and F are common.

But the plane EF is also common

Thus, the intersecting line is line EF.

Learn more about Prism here:

brainly.com/question/29722724

#SPJ2

Answer:

Line EF

Step-by-step explanation:

Planes intersect at lines

Help please

1 though 5

Answers

Answer:

5/8,-5√2,{(2x+3)(x-5)}

Step-by-step explanation:

1) 5x-10/8x-16

=5(x-2)/8(x-2)

=5/8

2) √32-3√18

=4√2-3√18

=4√2-9√2

=(4-9)√2

= -5√2

4) 2x^2-7x-15

=2x^2+3x-10x-15

=(2x+3),(x-5)

Write the formula for Newton's method and use the given initial approximation to compute the approximations x_1 and x_2. f(x) = x^2 + 21, x_0 = -21 x_n + 1 = x_n - (x_n)^2 + 21/2(x_n) x_n + 1 = x_n - (x_n)^2 + 21 x_n + 1 = x_n - 2(x_n)/(x_n)^2 + 21 Use the given initial approximation to compute the approximations x_1 and x_2. x_1 = (Do not round until the final answer. Then round to six decimal places as needed.)

Answers

Answer:

$x_(n+1) = x_(n) - (f(x_(n) ))/(f^(')(x_(n)))$

$x_(1) = -10$

$x_(2) = -3.95$

Step-by-step explanation:

Generally, the Newton-Raphson method can be used to find the solutions to polynomial equations of different orders. The formula for the solution is:

$x_(n+1) = x_(n) - (f(x_(n) ))/(f^(')(x_(n)))$

We are given that:

f(x) = $x^(2) + 21$ ; $x_(0) = -21$

$f^(') (x)$ = df(x)/dx = 2x

Therefore, using the formula for Newton-Raphson method to determine $x_(1)$ and $x_(2)$

$x_(1) = x_(0) - (f(x_(0) ))/(f^(')(x_(0)))$

$f(x_(0)) = x_(0) ^(2) + 21 = (-21)^(2) + 21 = 462$

$f^(')(x_(0)) = 2*(-21) = -42$

Therefore:

$x_(1) = -21 - (462)/(-42) = -21 + 11 = -10$

Similarly,

$x_(2) = x_(1) - (f(x_(1) ))/(f^(')(x_(1)))$

$f(x_(1)) = (-10)^(2) + 21 = 100+21 = 121$

$f^(')(x_(1)) = 2*(-10) = -20$

Therefore:

$x_(2) = -10 - (121)/(20) = -10+6.05 = -3.95$

Which relationships hold true for the sum of the magnitudes of vectors u and v, which are perpendicular?

Answers

it is

B) ||u+v|| = sqrt ||u||2 + ||v||2

AND

D) ||u+v|| less than ||u||+||v||

check the picture below.

notice, the sum of u+v yields the red vector, and its magnitude is smaller than the sum of the other two green ones.

If the owner of a sole proprietorship is sued by a customer who slipped and fell in her store,the sole proprietor is personally liable for damages the injured woman is awarded by the courts
the sole proprietor is not liable under any circumstance
the sole proprietor is covered by a Small Business Administration insurance policy
the sole proprietor is liable only for a small fraction of any damages

Answers

Answer:

the sole proprietor is personally liable for damages the injured woman is awarded by the courts.

Step-by-step explanation:

Final answer:

In a sole proprietorship, the owner is personally liable for any damages awarded by the court in the event of a lawsuit. They are not typically covered by small business insurance, and their liability is not limited.

Explanation:

Based on the question, the owner in a sole proprietorship is personally liable for any damages that are awarded by the court. This means that if a customer slipped and fell in her store and sued the owner, the sole proprietor- the business owner, would be held responsible for paying any damages. The liability of the sole proprietor emanates from the fact that in this type of business entity, there is no legal distinction between the owner and the business. This means all the debts and liabilities of the business are considered to be those of the owner. Thus, under normal circumstances, a sole proprietor is not covered by a Small Business Administration insurance policy, and their liability is not limited to a small fraction of the damages.