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zheka24 [161]
3 years ago
13

5. If the dimensions of a rectangle are doubled, which of the following best describes an effect on the rectangle?​

Mathematics
1 answer:
Bond [772]3 years ago
7 0

Answer:

Since length and width are perpendicular, Doubling either one will double the area. So Doubling both will quadruple the area. 2x2 = 4.

This idea works if the dimensions doubled are those that are used to compute area. Like the base and height of a triangle.

More generally, in a polygon, if all the sides are doubled, the area is multiplied by 4. In a circle, Doubling the radius will quadruple the area.

In 3 dimensions, Doubling one dimension will double the VOLUME. Doubling two perpendicular dimensions will quadruple the volume and Doubling 3 perpendicular dimensions will multiply the volume by 2x2x2 or 8.

Step-by-step explanation:

plz make me brainy least

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A line through the origin has a slope of 1 / 3. Carlos thinks the slope of a perpendicular line at the origin will be 3.
OLEGan [10]

Answer:

Carlos is incorrect.

Step-by-step explanation:

We have been given that a line through the origin has a slope of \frac{1}{3}. Carlos thinks the slope of a perpendicular line at the origin will be 3.

We know that the slope of a perpendicular line to a given line is always negative reciprocal of the slope of the given line.

The slope of the perpendicular line at the origin will be negative reciprocal of \frac{1}{3}.

Let us find negative reciprocal of \frac{1}{3} as:

-\frac{1}{\frac{1}{3}}=-\frac{1\cdot 3}{1}=-3

Since the slope of a perpendicular line at the origin is -3, therefore, Carlos is incorrect.

4 0
3 years ago
Graph: y < 1/3x+1/2
soldier1979 [14.2K]

Answer:

(-1.5,0) (0,0.5)

Step-by-step explanation:

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4 0
2 years ago
Connecticut families were asked how much they spent weekly on groceries. Using the following data, construct and interpret a 95%
Amanda [17]

Answer:

The 95% confidence interval for the population mean amount spent on groceries by Connecticut families is ($73.20, $280.21).

Step-by-step explanation:

The data for the amount of money spent weekly on groceries is as follows:

S = {210, 23, 350, 112, 27, 175, 275, 50, 95, 450}

<em>n</em> = 10

Compute the sample mean and sample standard deviation:

\bar x =\frac{1}{n}\cdot\sum X=\frac{ 1767 }{ 10 }= 176.7

s= \sqrt{ \frac{ \sum{\left(x_i - \overline{x}\right)^2 }}{n-1} }       = \sqrt{ \frac{ 188448.1 }{ 10 - 1} } \approx 144.702

It is assumed that the data come from a normal distribution.

Since the population standard deviation is not known, use a <em>t</em> confidence interval.

The critical value of <em>t</em> for 95% confidence level and degrees of freedom = n - 1 = 10 - 1 = 9 is:

t_{\alpha/2, (n-1)}=t_{0.05/2, (10-1)}=t_{0.025, 9}=2.262

*Use a <em>t</em>-table.

Compute the 95% confidence interval for the population mean amount spent on groceries by Connecticut families as follows:

CI=\bar x\pm t_{\alpha/2, (n-1)}\cdot\ \frac{s}{\sqrt{n}}

     =176.7\pm 2.262\cdot\ \frac{144.702}{\sqrt{10}}\\\\=176.7\pm 103.5064\\\\=(73.1936, 280.2064)\\\\\approx (73.20, 280.21)

Thus, the 95% confidence interval for the population mean amount spent on groceries by Connecticut families is ($73.20, $280.21).

7 0
3 years ago
Aspirin is sold in boxes of 24 for $3.69, 50 for $5.49, 100 for $8.29, and 150 for $11.99. Which box has the best unit rate.
NNADVOKAT [17]

Answer:

150 for 11.99

the pills in this box are the cheapest

4 0
3 years ago
Word form for 49.564
d1i1m1o1n [39]

Answer:

49 decimal five hunderd sixty four

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
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