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3 years ago

Build a rectangular prism using cubes. Then, draw in your journal the top, side, and bottom views of your prism.

Mathematics

1 answer:

Maksim231197 [3]3 years ago

6 0

Ok.....I will? Ummmmmm... I had to make this longer so I did what is said and I totally messed it up

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The sum of the circumference of a circle and the perimeter of a square is 24. Find the dimensions of the circle and square that

lyudmila [28]

Answer:

The radius of the circle is $r=1.68\ units$

The length of the square is $x=3.36\ units$

Step-by-step explanation:

we know that

The circumference of a circle is equal to $C=2\pi r$

The perimeter of the square is equal to $P=4x$

$24=2\pi r+4x$

Simplify

$12=\pi r+2x$

$x=(12-\pi r)/2$ -----> equation A

The area of a circle is equal to $A=\pi r^{2}$

The area of a square is $A=x^{2}$

The total area is equal to

$At=\pi r^{2}+x^{2}$ -----> equation B

substitute equation A in equation B

$At=\pi r^{2}+[(12-\pi r)/2]^{2}$

This is a vertical parabola open upward

The vertex is the minimum

The x-coordinate of the vertex is the radius of the circle that produce a minimum area

The y-coordinate of the vertex is the minimum area

Solve by graphing

The vertex is the point (1.68, 20.164)

see the attached figure

therefore

The radius of the circle is

$r=1.68\ units$

Find the value of x

$x=(12-\pi r)/2$

assume

$\pi =3.14$

$x=(12-(3.14)*(1.68))/2$

$x=3.36\ units$

8 0

3 years ago

What's the numerator for the following rational<br> expression?<br> j/k + 1/k = ?/k

lys-0071 [83]

Answer:

j+1

Step-by-step explanation:

j/k + 1/k = ?/k

Since the denominator is the same, we can add the numerators

j/k + 1/k = ?/k

(j+1)/k = ?/k

7 0

3 years ago

An initial number of bacteria presented in a culture is 1,000. This number triples every 30 minutes. Write a function expressing

Svetlanka [38]

Tripiling time is
$A=P(3)^ \frac{t}{r}$
t=time elapsed
r=tripling time
P=initial amount

so

$A=1000(3)^ \frac{t}{30}$
when time is measured in minutes
if measured in hours then

$A=1000(3)^{2t}$ or $A=1000(9)^{t}$

8 0

3 years ago

What are the coordinate of ABC after a dilation with center 0,0 and a scale factor of 3 please help

mojhsa [17]

Answer:

Note that both the x and y coordinates are multiplied by the SAME value, k. Given ΔDEF with center of dilation the origin (0,0) and scale factor of 2, plot ΔD'E'F'. As shown in the formula above, multiply each x and y coordinate value by the scale factor of 2 to find the new coordinates

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

A 10 kilogram object suspended from the end of a vertically hanging spring stretches the spring 9.8 centimeters. At time t

xz_007 [3.2K]

Full Question

A 10 kilogram object suspended from the end of a vertically hanging spring stretches the spring 9.8 centimeters. At time t = 0, the resulting mass—spring system is disturbed from its rest state by the force F (t) = 20 cos(8t). The force F (t) is expressed in Newtons and is positive in the downward direction, and time is measured in seconds.

Determine the spring constant k.

Answer:

Spring Constant = 1000Nm^-1

Step-by-step explanation:

Given

Mass = 10kg

Spring Extension = 9.8cm

Spring Constant K = Force/Extension

Force = Mass * Acceleration

Force = 10 * 9.8 = 9.8N

Spring Extension = 9.8 cm = 9.8 /100 = 0.098 m

Spring constant = 98 / 0.098

Spring Constant = 1000Nm^-1

3 0

3 years ago