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Tanya [424]
2 years ago
7

A cube has a length of 8 in. What is the width and the height of the cube?​

Mathematics
2 answers:
Triss [41]2 years ago
7 0

Answer:

8 in

Step-by-step explanation:

In a cube, the length, width, and height are all the same.

grandymaker [24]2 years ago
7 0

Answer:

8in each

Step-by-step explanation:

A cube has equal sides. Length = 8 in, Width = 8 in and Hight =8 in

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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
Which of the following best describes the number 1.234?
AleksAgata [21]

Answer:

E

Step-by-step explanation:

1.234 is most definitely a rational number!!

8 0
3 years ago
Luca made a scale drawing of the auditorium. in real life, the stage is 45 feet long. it is 18
ollegr [7]

Answer:

30:1

Step-by-step explanation:

45*12 = 540

540/18 = 30

8 0
2 years ago
Four out of 18 male student and
prisoha [69]

Answer:

Male 2:9

Female 1:7

Step-by-step explanation:

4 0
3 years ago
I dont understand this
kirza4 [7]

Step-by-step explanation:

first u find the angles and then u use some low divide the length of triangle by sin of opposite angles

4 0
3 years ago
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