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telo118 [61]
2 years ago
6

Two rectangles are similar. The length and width of the first rectangle is 4 m by 5 m. The second rectangle is similar by a scal

e factor of 4. What is the area of the second rectangle in square meters
Mathematics
1 answer:
likoan [24]2 years ago
6 0
<h3>Answer:  320 square meters</h3>

===================================================

Explanation:

The scale factor 4 means the dimensions of the second rectangle are 4 times larger.

The width of 4 meters bumps up to 4*4 = 16 meters.

The length of 5 meters becomes 4*5 = 20 meters.

So a 4 by 5 rectangle is similar to a 16 by 20 rectangle.

The area of the second rectangle is therefore 16*20 = 320 square meters.

---------------

As an alternative, you can compute the area of the 4 by 5 rectangle to get 4*5 = 20. Then multiply this with 4^2 = 16 to get 16*20 = 320.

The 4^2 = 16 multiplier is the result of squaring the scale factor.

So if you know the dimensions have been multiplied by 4, then the area has been multiplied by 16.

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2008 population of wyoming was counted as 532,668 people. what is a reasonable estimate of the population of wyoming?
Snezhnost [94]
The smaller is the rounding factor, the more accurate the estimation is

532668 rounded to the nearest ten is 532670
532668 rounded to the nearest hundred is 532700
532668 rounded to the nearest thousand is 533000
532668 rounded to the nearest ten thousand is 530000
532668 rounded to the nearest hundred thousand is 500000

We can use either 532700 or 533000 as a reasonable estimate because these values don't give much difference to the original value
8 0
3 years ago
What is the constant in the expression below?
kolezko [41]
The answer is D) -3 Hope this help
3 0
2 years ago
A rectangle has vertices H(3,0), I(3,7), J(6,7) , and K(6, 0) . Use the coordinates to find the perimeter of the rectangle. _uni
Paul [167]

Answer:

20 units

Step-by-step explanation:

Plot points on a graph. doesn't have to be to scale. check co-ordinates differences and add up. see image.

4 0
2 years ago
5/8 divided by 3/4 what the answer
charle [14.2K]

Answer:

20/24. Simplified answer is 5/6

Step-by-step explanation:

5/8 divided by 3/4 is the same as asking 5/8 times 4/3

When dividing a number by a fraction, you can always just multiply by the fraction with its numerator and denominator switched!

So, now we have 5/8 times 4/3

Step 1: Multiply the numerators together. 5 times 4 = 20

Step 2: Multiply the denominators together. 8 times 3 = 24

Step 3: Put the new numerator over the new denominator. 20 over 24 is 20/24

Step 4: Simplify the fraction if necessary. 20 and 24 share a common factor of 4, so divide both the numerator and denominator by 4.  

20 divided by 4 = 5

24 divided by 4 = 6

So, 20/24 is equal to 5/6.

7 0
3 years ago
A star is a swirling mass of dense gases powered by thermonuclear reactions. The great solar furnace transforms 7 million tons o
marta [7]

Answer:

2.20752 x 10^{24}

Step-by-step explanation:

The first thing you have to do is to look for the number of seconds in one year. You have to multiply 365 days by 86,400 seconds.

  • 365 days refer to the total number of days per year
  • 86,400 seconds refer to the number of seconds per day

Let's solve.

  • 365 x 86,400 = 31,536,000 or 3.1536 x 10^{7}

<em>Therefore, one year has 3.1536 x </em>10^{7}<em> seconds.</em>

Next, you have to know the number of seconds in 10 billion years.

  • (3.1536 x 10^{7}) x  (1.0 x 10^{10}) = 3.1536 x 10^{17}

The last step is to multiply the number of seconds in 10 billion years to 7 million tons of mass per second.

  • (3.1536 x 10^{17}) x 7,000,000 = 2.20752 x 10^{24}
6 0
2 years ago
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