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aivan3 [116]
3 years ago
6

¿Look at the picture

Mathematics
1 answer:
kkurt [141]3 years ago
8 0

Answer:

16.2 Kilometers

Step-by-step explanation:

81 divided by 5

You get 16.2 kilometers

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Can someone help me out my grads are bad
Pani-rosa [81]

Answer:

162

Step-by-step explanation:

9 x 6 = 54

18 x 6 = 108

108 + 54 = 162

8 0
2 years ago
Find the length of the following​ two-dimensional curve. r (t ) = (1/2 t^2, 1/3(2t+1)^3/2) for 0 < t < 16
andrezito [222]

Answer:

r = 144 units

Step-by-step explanation:

The given curve corresponds to a parametric function in which the Cartesian coordinates are written in terms of a parameter "t". In that sense, any change in x can also change in y owing to this direct relationship with "t". To find the length of the curve is useful the following expression;

r(t)=\int\limits^a_b ({r`)^2 \, dt =\int\limits^b_a \sqrt{((\frac{dx}{dt} )^2 +\frac{dy}{dt} )^2)}     dt

In agreement with the given data from the exercise, the length of the curve is found in between two points, namely 0 < t < 16. In that case a=0 and b=16. The concept of the integral involves the sum of different areas at between the interval points, although this technique is powerful, it would be more convenient to use the integral notation written above.

Substituting the terms of the equation and the derivative of r´, as follows,

r(t)= \int\limits^b_a \sqrt{((\frac{d((1/2)t^2)}{dt} )^2 +\frac{d((1/3)(2t+1)^{3/2})}{dt} )^2)}     dt

Doing the operations inside of the brackets the derivatives are:

1 ) (\frac{d((1/2)t^2)}{dt} )^2= t^2

2) \frac{(d(1/3)(2t+1)^{3/2})}{dt} )^2=2t+1

Entering these values of the integral is

r(t)= \int\limits^{16}_{0}  \sqrt{t^2 +2t+1}     dt

It is possible to factorize the quadratic function and the integral can reduced as,

r(t)= \int\limits^{16}_{0} (t+1)  dt= \frac{t^2}{2} + t

Thus, evaluate from 0 to 16

\frac{16^2}{2} + 16

The value is r= 144 units

5 0
3 years ago
The perimeter of the rectangle below is 46 units. Find the length of side RS. Write your answer without variables.
inessss [21]

Answer:

30 units

Step-by-step explanation:

6 0
3 years ago
∆ABC ~ ∆DEF. If ∠A=35° and ∠E=55°, what is the measure of ∠C?
madam [21]

Answer:

90°

Step-by-step explanation:

ABC ~ DEF so that means E = B.  A triangle has to add up to 180° so that means 180-35-55=90

7 0
3 years ago
8. Mario walks 7 blocks from his home to
Vika [28.1K]
I believe the answer is 2. i hope this helps
6 0
3 years ago
Read 2 more answers
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