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irga5000 [103]
3 years ago
15

New Mexico has an area of 121,298 square miles. California has an area of 155,779 square miles. How much greater is the area, in

square miles, of California than the area New Mexico? Show your work and explain how you know the answer is reasonable
Mathematics
2 answers:
Pavel [41]3 years ago
8 0
The difference between California and New Mexico in square miles is 34,481 square miles. This is because 155,779 - 121,298 = 34,481.
mario62 [17]3 years ago
7 0

Answer:

Area of California is 34481 sq.miles greater than the area New Mexico.

Step-by-step explanation:

Given :New Mexico has an area of 121,298 square miles.

          California has an area of 155,779 square miles.

To Find :  How much greater is the area, in square miles, of California than the area New Mexico?

Solution:

Area of new Mexico = 121,298 square miles.

Area of California =  155,779 square miles.

Difference in Area = 155,779-121,298

                               =34481

So, The difference in areas is 34481 sq.miles

So, Area of California is 34481 sq.miles greater than the area New Mexico.

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Theorem: A line parallel to one side of a triangle divides the other two proportionately.
Elenna [48]

Answer:

Segment BF = 16 is true.

Step-by-step explanation:

Since, DE is parallel to BC, so DE will divide AB and AC proportionally.

Hence,

\frac{AE}{EC}  = \frac{AD}{DB}

⇒  \frac{12}{18}  = \frac{6}{DB} 

{Since, given that AE = 12, EC = 18 and AD = 6}

⇒ BD = 9.

Again, since, EF is parallel to AB, so EF will divide BC and AC proportionally.

Hence, \frac{CE}{AE}  = \frac{FC}{BF}

⇒ \frac{18}{12}  = \frac{24}{BF}   

{Since, given that AE = 12, EC = 18 and FC= 24}

⇒ BF = 16.

Therefore, segment BF = 16 is true. (Answer)

3 0
3 years ago
What is the surface area of the box if it is scaled up by the factor of 10 and the surface area is 16in
algol [13]
If each linear dimension is scaled by a factor of 10, then the area is scaled by a factor of 100. This is because 10^2 = 10*10 = 100. Consider a 3x3 square with area of 9. If we scaled the square by a linear factor of 10 then it's now a 30x30 square with area 900. The ratio of those two areas is 900/9 = 100. This example shows how the area is 100 times larger.

Going back to the problem at hand, we have the initial surface area of 16 square inches. The box is scaled up so that each dimension is 10 times larger, so the new surface area is 100 times what it used to be

New surface area = 100*(old surface area)
new surface area = 100*16
new surface area = 1600

Final Answer: 1600 square inches

3 0
3 years ago
What operation would you use to solve x/4=20?
umka21 [38]

Answer:

Multiplication

Step-by-step explanation:

x=20•4

x=80

7 0
3 years ago
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The mass of a species of mouse commonly found in houses is normally distributed with a mean of 20.2 grams with a standard deviat
Sophie [7]

Answer:

12.1%

Step-by-step explanation:

Given that:

Mean (μ) = 20.2 grams and standard deviation (σ) = 0.18 grams.

The z score is a score used to determine the number of standard deviations by which the raw score is above or below the mean. A positive z score means  that the raw score is above the mean and a negative z score means that the raw score is below the mean. It is given by:

z=\frac{x-\mu}{\sigma}

a) For x < 19.99 g:

z=\frac{x-\mu}{\sigma}\\\\z=\frac{19.99-20.2}{0.18} \\\\z=-1.17

From the normal distribution table, P(x < 19.99) = P(z < -1.17) = 0.1210 = 12.1%

The probability that a randomly chosen mouse has a mass of less than 19.99 grams is 12.1%

6 0
3 years ago
Type the correct answers out, thank you - 20 POINTS
nadezda [96]
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We are given the coordinates of points A and B, using which we can find the equation of the line for AB.

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The above equation is in slope intercept form. Thus the y-intercept of AB is 4/3.

Slope of AB is -1/6, so slope of BC would be 6. Using the slope 6 and coordinates of the point B, we can write the equation of BC as:

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13 = 6x - 11
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The x-coordinate of point C will be 4.

Therefore, the answers in correct order are:

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