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xeze [42]
3 years ago
12

A rectangular prism has a length of 4.2 cm, a width of 5.8 cm, and a height of 9.6 cm. A similar prism has a length of 14.7 cm,

a width of 20.3 cm, and a height of 33.6 cm. The dimensions of the smaller prism are each multiplied by what factor to produce the corresponding dimensions of the larger prism?
Mathematics
2 answers:
sertanlavr [38]3 years ago
8 0

Answer:

its (c) 3 1/2

Step-by-step explanation:

solong [7]3 years ago
5 0
They are each multiplied by a factor of 3.5
You can calculate this by taking the length of the similar prism and divide it with the first prism 14.7/4.2 = 3.5
Do this with the width and height to be sure
20.3/5.8 = 3.5
33.6/9.6 = 3.5
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What is the circumference and area of a circle with a radius of 8 centimeters
Maksim231197 [3]

Answer:

Area= 64pi or 201.06

Circumference: 16pi or 50.265

Step-by-step explanation:

Area= \pi r^{2}

pi (8)^2 = 64pi or 201.06

Circumference= 2pir , 2(pi)8 = 16pi or 50.2

4 0
3 years ago
Two trains start from Fort Worth traveling at the same speed. The trip for Train W takes 20 hours, while the trip for Train Z ta
MrMuchimi

Answer:

The equation that best models this situation is :

b. \frac{x}{20}=\frac{x+400}{25}

Distance traveled by Train W = 1600 miles

Distance traveled by Train Z = 2,000 miles

Step-by-step explanation:

Given:

Time taken for Train W to complete a trip = 20 hours

Time taken for Train Z to complete a trip = 25 hours

The city Train Z is traveling to is 400 miles farther away than the city Train W is traveling to.

both trains have same speeds and start from same location.

To find the distance in total each train travels.

Solution:

<em>Let length of the trip of Train W be </em>= x miles

Speed of Train W can be given as :

⇒ \frac{Distance}{Time}

⇒ \frac{x}{20}\ miles/h

<em>So, the length of the trip of Train Z will be</em> = (x+400) miles

Speed of Train Z can be given as :

⇒ \frac{Distance}{Time}

⇒ \frac{x+400}{25}\ miles/h

Since the speeds are same, so the equation to find x can be given as:

⇒ \frac{x}{20}=\frac{x+400}{25}

Solving for x

Multiplying both sides by 100 to remove fractions.

⇒ 100\times \frac{x}{20}=100\times \frac{x+400}{25}

⇒ 5x=4(x+400)

Using distribution.

⇒ 5x=4x+1600

Subtracting both sides by 4x

⇒ 5x-4x=4x-4x+1600

⇒ x=1600

Thus, Distance traveled by Train W = 1600 miles

Distance traveled by Train Z = 1600+400 = 2,000 miles

3 0
3 years ago
A student solves the following equation for all possible values of x:
bekas [8.4K]
<span><u><em>The correct answer is: </em></u>
C) his solution for x is correct, but in order for 6 to be an extraneous solution, one denominator has to result in 0 when 6 is substituted for x.

<u><em>Explanation: </em></u>
<span><u>To solve this rational equation, we cross multiply: </u>
8*(x-4)=2*(x+2).

<u>Using the distributive property, we have </u>
8*x-8*4=2*x+2*2;
8x-32=2x+4.

<u>Subtract 2x from each side: </u>
8x-32-2x=2x+4-2x;
6x-32=4.

<u>Add 32 to each side: </u>
6x-32+32=4+32;
6x=36.

<u>Divide both sides by 6:</u>
</span></span>\frac{6x}{6}<span><span>=</span></span>\frac{36}{6}<span><span>;
x=6.

<u>Extraneous solutions</u> are solutions that come about in the problem but are not valid solutions to the problem; the only values of x that would give this sort of answer are -2 and 4, since these are the two values that would make one of the denominators 0 (we cannot divide by 0).</span></span>
6 0
3 years ago
Read 2 more answers
........................
omeli [17]

it would be C i think hope this helps

5 0
3 years ago
Read 2 more answers
Need answer fast thx
bagirrra123 [75]

Answer:

thats A daddy-o

Step-by-step explanation:

there are 4 out of 12

1/3

33.3333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333 is 1/3

6 0
3 years ago
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