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4 years ago

A jewel case that holds 2 CDs is 140 mm x 120 mm x 9

Mathematics

2 answers:

Paha777 [63]4 years ago

5 0

Im not sure but all of those multiplied together is 151200

Lina20 [59]4 years ago

4 0

Well...
140mm x 120mm =16,800mm
140mm x 9mm = 1,260mm
120mm x 9mm = 1,080mm

16,800mm + 1,260mm + 1,080mm = 170,340

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The ratio of the volumes of the similar solids is _____ 25:1 5:1 125:1

weqwewe [10]

Answer:

Part 1)

a) The ratio of the heights of the similar solids is 5/1

b) The ratio of the surface areas of the similar solids is (5/1)²=25/1

c) The ratio of the volumes of the similar solids is (5/1)³=125/1

Part 2) Two spheres with different radii measurements are always similar

Part 3) The volume of the sphere is greater than the surface area of the sphere

Step-by-step explanation:

Part 1) we know that

The ratio of the corresponding heights of the similar solids is equal to the scale factor

The ratio of the surface areas of the similar solids is equal to the scale factor squared

The ratio of the volumes of the similar solids is equal to the scale factor elevated to the cube

In this problem

The scale factor is 5/1

therefore

a) The ratio of the heights of the similar solids is 5/1

b) The ratio of the surface areas of the similar solids is (5/1)²=25/1

c) The ratio of the volumes of the similar solids is (5/1)³=125/1

Part 2)

we know that

Figures can be proven similar if one, or more, similarity transformations (reflections, translations, rotations, dilations) can be found that map one figure onto another.

In this problem to prove that two spheres are similar, a translation and a scale factor (from a dilation) will be found to map one sphere onto another.

therefore

Two spheres with different radii measurements are always similar

Part 3) The length of the diameter of a sphere is 8 inches

The volume of the sphere is equal to

$V=\frac{4}{3}\pi r^{3}$

we have

$r=8/2=4\ in$ -----> the radius is half the diameter

substitute

$V=\frac{4}{3}\pi (4)^{3}$

$V=85.33\pi\ in^{3}$

The surface area of the sphere is equal to

$SA=4\pi r^{2}$

substitute

$SA=4\pi (4)^{2}$

$SA=64\pi\ in^{2}$

therefore

The volume of the sphere is greater than the surface area of the sphere

3 0

3 years ago

Solve 3x2 + 2x + 7 = 0. Round solutions to the nearest hundredth. (5 points)

pishuonlain [190]

3x² + 2x + 7 = 0
D = b² - 4ac = 2² - 4*3*7 = 4 - 84 = -80
D < 0 ⇒ No real solutions

7 0

4 years ago

Read 2 more answers

Please show me how you did the work for this problem if you solve it!!! If a car is moving at 70 miles per hour, how many feet w

Alexandra [31]

Answer:

102.6666... feet in one second 1232 feet in twelve seconds.

Step-by-step explanation:

Most clear way of solving this breakdown the proportions by keep the value.

1 mile = 5280 feet.

1 hour = 60 minutes = 3600 seconds -- See now it is easy.

Feet per second...

= feet/seconds

(70*5280) = 369,600/3,600 = 102.666666667 -- That is 102.66...feet per second.

For twelve seconds just multiply by 12.

102.666666667*12 = 1232 feet in twelve seconds.

8 0

3 years ago

An assembly line produces 2 toasters per minute. It is 2:00pm and the line has finished 560 out of its goal of 900 for the day.

LenaWriter [7]

Answer:

I won't stop the line for a half hour break.

Step-by-step explanation:

Proportions

One quantity A is said to be proportional to other B if A can always be obtained by multiplying or dividing B by any constant number. Numbers {4,8,12} are proportional to {2,4,6} because they can be computed as twice their value

There is a situation described in the problem where we need to know if there will be enough time to produce the 900 toasters (the goal for the day) when the assembly line is stopped by half an hour.

Actual time: 2:00 pm

Final time: 5:00 pm

Rate of production: 2 toasters/minute

Actual production: 560 toasters

Updated goal: 900-560 = 340 toasters

Those 340 toasters must be produced in the remaining 3 hours (180 minutes) of work. If the assembly line stops for half an hour (30 minutes), there will be only 150 minutes to finish the goal production. At a rate of 2 toasters/minute, there will be 2*150 = 300 toasters produced. But we need to produce 340 more toasters, so that break cannot be granted or we'll be 40 toasters under goal.

It the line keeps producing for 180 minutes, it would produce 2*180 = 360 toasters, 20 more than the goal.

Note: The maximum break time that can be granted is 20/2 = 10 minutes

4 0

4 years ago

Hellllpppp plsssss just click the picture then you see it

Solnce55 [7]

Answer:

1. 8 + 13 = 13 + 8.

2. 6 + ( 12 + 4) = 6 + ( 4 + 12).

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers