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3 years ago

11

In a scale drawing of a garden, a distance of 35 feet is represented by a line segment 4 inches long. on the same drawing, what

distance is represented by a line segment 14 inches long?

1 answer:

nalin [4]3 years ago

7 0

Answer:

$122.5\ ft$

Step-by-step explanation:

we know that

Using proportion

$\frac{35}{4}\frac{ft}{in}=\frac{x}{14}\frac{ft}{in}\\ \\x=35*14/4\\ \\x=122.5\ ft$

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PLZZZ HELP DOES ANYONE KNOW HOW TO DO THIS?!?!?<br> Find x and y

yanalaym [24]

According to the figure, I can safely assume that the 10 cm line and 15 cm line are parallel.

Thus, there are two similar triangles, one with the 10 cm bottom and 15 cm bottom, where one triangle is larger by a factor of 15/10 = 3/2

We know that the 8 cm line segment and y both join to create the side of the large triangle.

8cm + y = the side of the large triangle

Multiplying 8cm by 3/2 gives us 12, since we know the large triangle is 3/2 times larger than the smaller one.

8 + y = 12

y = 4 cm

Finding x is going to be a bit different. We know that the 6 cm line and x form the side of the larger triangle, which we know is 3/2 times larger than x.

x + 6cm = ?

The side of the larger triangle is 3/2x, thus

x + 6 = 3/2 x

Subtract both sides by x

6 = 1/2 x

Multiply both sides by 2

12 cm = x

Thus, y = 4 and x = 12.

Let me know if you need any clarifications, thanks!

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3 years ago

Mario has a number cube with sides numbered 1 through 6. He rolls the number cube twice. He rolls an odd number on the first rol

Anettt [7]

1/2 because there are 3 odd numbers on a number cube and 6 numbers in total and 3/6 simplified is 1/2

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3 years ago

2\3 / 1/12 euprirrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrp

hichkok12 [17]

Answer:

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Step-by-step explanation:

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3 years ago

Read 2 more answers

On a coordinate plane, a dashed straight line has a positive slope and goes through (negative 3, negative 7) and (0, 2). Everyth

crimeas [40]

The inequality described can be written as:

y < 3x + 2.

<h3>How to get the inequality?</h3>

First, we know that we have a dashed line, and the region to the left of that line is shaded, then we will have:

y < line.

The linear equation is of the form:

y = a*x + b

Where a is the slope and b is the y-intercept.

Remember that if a line passes through the points (x₁, y₁) and (x₂, y₂), then the slope is:

$a = \frac{y_2 - y_1}{x_2 - x_1}$

Here we know that the line passes through (-3, -7) and (0, 2), so the slope is:

$a = \frac{2 - (-7)}{0 - (-3)} = 9/3 = 3$

And because the line passes through (0, 2), the y-intercept is 2, then the inequality is:

y < 3x + 2.

If you want to learn more about inequalities:

brainly.com/question/2516147

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8 0

3 years ago

A hospital recorded the weights, in ounces, of newborn babies for two weeks. The

Gwar [14]

Answer:

The standard deviation for week two was about 3 ounces more than the standard deviation for week one

Step-by-step explanation:

Given

$Week\ 1: 128, 105, 80, 82, 96, 98, 87, 100, 112, 126$

$Week\ 2: 75, 85, 90, 97, 89, 105, 110, 127, 129, 130$

<em>See attachment for options</em>

Required

The true statement

<u>Checking the standard deviation</u>

<u>For week 1</u>

Calculate the mean:

$\bar x = \frac{\sum x}{n}$

$\bar x = \frac{128+ 105+ 80+ 82+ 96+ 98+ 87+ 100+ 112+ 126}{10}$

$\bar x = \frac{1014}{10}$

$\bar x_1 = 101.4$

Then standard deviation

$\sigma = \sqrt{\frac{\sum(x - \bar x)^2}{n}}$

$\sigma_1 = \sqrt{\frac{(128 - 101.4)^2 +............+ (126- 101.4)^2}{10}}$

$\sigma_1 = \sqrt{\frac{2522.4}{10}}$

$\sigma_1 = \sqrt{252.24$

$\sigma_1 = 15.88$

For week 2, we have:

$\bar x = \frac{75+ 85+ 90+ 97+ 89+ 105+ 110+ 127+ 129+ 130}{10}$

$\bar x = \frac{1037}{10}$

$\bar x_2 = 103.7$

Then standard deviation

$\sigma_2 = \sqrt{\frac{(75 - 103.7)^2 +................+ (130- 103.7)^2}{10}}$

$\sigma_2 = \sqrt{\frac{3538.1}{10}}$

$\sigma_2 = \sqrt{353.81$

$\sigma_2 = 18.81$

Compare the standard deviations

$\sigma_1 = 15.88$

$\sigma_2 = 18.81$

Calculate the difference:

$d = \sigma_2 - \sigma_1$

$d = 18.81 - 15.88$

$d = 2.93$

$d \approx 3$

<em>This implies that option (b) is true</em>

4 0

3 years ago