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tia_tia [17]
2 years ago
5

The length of the diagonal of a rectangle is shown below.

Mathematics
1 answer:
posledela2 years ago
6 0

Answer: J

Step-by-step explanation: Since that the square root of the number 82.25 approximately equals 9.09

Then logically it lies between the integers

9 and 10

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Consider the parametric curve x = 2t^(3)-3t^(2)+2 and y = t^(3)-12t,-pi leq t leq pi . (a) Find the values of t (if any) where t
bagirrra123 [75]

Answer:

  (a) t = ±2

  (b) t ∈ {0, 1}

  (c) In navigation terms: east by north. The slope is about 0.42 at that point.

Step-by-step explanation:

(a) dy/dx = 0 when dy/dt = 0

  dy/dt = 3t^2 -12 = 0 = 3(t -2)(t +2)

The slope is zero at t = ±2.

__

(b) dy/dx = (dy/dt)/(dx/dt) = <em>undefined</em> when dx/dt = 0

  dx/dt = 6t^2 -6t = 6(t)(t -1) = 0

The slope is undefined for t ∈ {0, 1}.

__

(c) At t=3, dy/dx = (dy/dt)/(dx/dt) = 3(3-2)(3+2)/(6(3)(3-1)) = 15/36 = 5/12

The general direction of movement is away from the origin along a line with a slope of 5/12, about 22.6° CCW from the +x direction.

_____

The first attachment shows the derivative and its zeros and asymptotes. It also shows some of the detail of the parametric curve near the origin.

The second attachment shows the parametric curve over the domain for which it is defined, along with the point where t=3.

5 0
3 years ago
The distance d a train travels varies directly with the amount of time t that has elapsed since departure. If the train travels
Anastaziya [24]
Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions.
Below is the solution:

<span>distance = 475
</span>time = 9.5 hrs

<span>since distance and time varies directly
</span>
therefore in 9.5 hrs train travels 475 miles => In 1 hr train travels 475 / 9.5 miles = 50 miles
<span>and in 4 hrs train travells 50*4 i.e 200 miles </span>
6 0
3 years ago
Read 2 more answers
PLEASE HELP WILL MARK BRAINLIST
Mademuasel [1]

Answer:

angle Z=20°

side xy≈15.36

hypotenuse≈19.49

Step-by-step explanation:

Find angle z adding the other two angles and subtracting that by 180 to get 20.

(12)tan(20) gets you side xy which is 15.36

12^2+15.36^2=xz^2

7 0
3 years ago
Brice has $1200 in the bank. He wants to save a total of $3000 by depositing $40 per week from his paycheck. Write and use an eq
Anon25 [30]

$$3000-$1200=$1800

take $1800÷$40=45

<h3>answ=45 weeks</h3>

6 0
2 years ago
I JUST NEED 4 PLS!!!!!!
Alchen [17]

Answer:

C

Step-by-step explanation:

When doing 4 divided by 2 you get 2. Looking at the sign it is saying 3 is greater than the number we solve for. Since we solved and got 2 we can double check and ask is 3 greater than 2? Yes it is so that would make the statement correct.

Hope this Helps :)

6 0
3 years ago
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