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satela [25.4K]
3 years ago
15

I need help how do u do this???

Mathematics
2 answers:
Volgvan3 years ago
7 0
49. Straight lines always equally 180 degrees. And the angle directly below P is equivalent to the 131 angle so 180-131=49 (hope that was somewhat explained well enough because angles are hard to explain without directly showing on paper)
lana [24]3 years ago
4 0
P= 49 because if u add 49 and 131 =180 which is a straight line
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Determine the equation of the tangent line to the given path at the specified value of t. (sin(7t), cos(7t), 2t9/2); t=1
Reptile [31]

Answer:

P(t) = {sin7, cos7, 2} + (7cos7, -7sin7, 9)(t-1)

Step-by-step explanation:

The equation of the tangent line to the given path at the specified value of t is expressed as;

P(t) = f(t0) + f'(t0)(t - t0)

f(t0) = (sin(7t), cos(7t), 2t^9/2)

at t0 = 1;

f(t0) = {sin7(1), cos7(1), 2(1)^9/2}

f(t0) = {sin7, cos7, 2}

f'(t0) = (7cos7t, -7sin7t, 9/2{2t^9/2-1}

f'(t0) = (7cos7t, -7sin7t, 9t^7/2}

If t0 = 1

f'(1) = (7cos7(1), -7sin7(1), 9(1)^7/2)

f'(1) =(7cos7, -7sin7, 9)

Substituting the given function into the tangent equation will give:

P(t) = f(t0) + f'(t0)(t - t0)

P(t)= {sin7, cos7, 2} + (7cos7, -7sin7, 9)(t-1)

The final expression gives the equation of the tangent line to the path.

4 0
3 years ago
Gabriel models the volume of a popcorn box as a right rectangular prism and the box can hold 74 cubic inches of popcorn when it
vodka [1.7K]

If the volume of the popcorn box is 74 cubic inches. Then the length of the popcorn box in inches will be 0.3 inches.

<h3>What is a rectangular prism?</h3>

A rectangular prism is a closed solid that has two parallel rectangular bases connected by a rectangle surface.

Gabriel models the volume of a popcorn box as a right rectangular prism and the box can hold 74 cubic inches of popcorn when it is full.

Its width is 3 and 1/2 in and its height is 77 in.

Then the width of the prism will be

\rm W  = 3 + \dfrac{1}{2}\\\\W = \dfrac{7}{2}

Then the length of the popcorn box in inches will be

\rm V  \ = LWH\\\\\\74= L \times \dfrac{7}{2} \times 77\\\\\\L\ = 0.2745 \approx 0.3

More about the rectangular prism link is given below.

brainly.com/question/12649592

#SPJ1

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-4x=-3y-5 into standard form
const2013 [10]

Answer:

4x-3y=5

Step-by-step explanation:

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Find the indicated function for f(x) = x^2 + 3x -1 and g(x) = 3x . Question <br>1. (f +g) (x) =
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Answer:

Step-by-step explanation:

x^2 + 3x - 1 + 3x

x^2 + 6x - 1 is the solution

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If that's the side length, s, then cube 4x^2+3 to obtain the cube volume:

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