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RoseWind [281]
2 years ago
9

Pls help asap! Due in 5 minutes!!! Pls

Mathematics
1 answer:
skelet666 [1.2K]2 years ago
5 0

Answer: The value of X is 26.

Explanation: The explanation is in the image.

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What is the angular velocity of a 6–foot pendulum that takes 3 seconds to complete an arc of 14.13 feet? Use 3.14 for π
iren2701 [21]
1) Calculate the whole arc (complete circumference):


Circumference = 2π*radius


radius = 6 foot


=> Circumference = 2 * 3.14 * 6 foot = 37.68


2) Calculate the time to make a whole round, by making a proportion with the two ratios:


 ratio 1 = x / 37.68 =


ratio 2 = 3 / 14.13


ratio 1 = ratio 2 =>

   x                  3s
----------  =   -----------
37.68 ft        14.13 ft


=> x = 3 * 37.68 / 14.13 = 8 s


3) Calcuate the angular velocity as the 2π rad (which is the total angle of a circle) divided by the time.


So the angular velocity is 2π rad / 8 s = 2*3.14 foot / 8 s = 0.785 rad / s



Answer: 0.785 rad / s


3 0
3 years ago
Which is the graph of the function f(x) = one-halfx2 + 2x – 6?
guapka [62]

Answer:

1/2 x^2 + 2x - 6 = 0

(1/2 x - 1)(x + 6) = 0

zeroes are 2 and -6

so the graph intersects x axis at -6 and 2  

The only one to do that is diagram A  

Step-by-step explanation:

5 0
3 years ago
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Factor the algebraic expression below in terms of a single trigonometric function. sin 2x + sin x - 2
Pie

Answer:

The factored form is (sin x +2)(sin x-1)

Step-by-step explanation:

We have been given the trigonometric function \sin^2 x +\sinx-2

We can factor this by AC method. In AC method we multiply the term a and c and then write the middle term b in such a way that the sum/difference is equal to the product 'ac'

Using the method, we can write sinx as 2sinx -sinx

\sin^2 x +2\sinx-\sin x-2

Now, we group the first two terms and the last two terms

(\sin^2 x +2\sinx)+(-\sin x-2)

Now, we take GCF from each group

\sin x(\sin x +2)-1(\sin x+2)

Factor out (sinx+2)

(\sin x +2)(\sin x-1)

Therefore, the factored form is (sin x +2)(sin x-1)

7 0
3 years ago
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Judy uses 7.5 pints of blue paint and white paint to paint her bedroom walls. 1/4 of this amount is blue paint, and the rest is
lianna [129]

Answer:

5.625 pints

Step-by-step explanation:

refer to pic

8 0
3 years ago
What is the completely factored form of f(x) = 6x3 – 13x2 – 4x + 15?
lana66690 [7]

Answer:

= -4x + 7 is the correct answer

Step-by-step explanation:

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3 years ago
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