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dlinn [17]
4 years ago
5

Mrs. Lowndes was building a play house for her grandson.

Mathematics
1 answer:
Vedmedyk [2.9K]4 years ago
8 0

Answer:

21.25ft

Step-by-step explanation:

To solve for this, all you need to do is find a ratio proportional to the given. The given shows the following ratios:

\dfrac{2in}{5ft}=\dfrac{8.5in}{x}

All you need to do is solve for x. You can do this by first cross multiplying:

\dfrac{2in}{5ft}=\dfrac{8.5in}{x}\\\\2in(x)=8.5in(5ft)\\\\2xin=42.5in/ft\\\\Divide\;both\;sides\;by\;2in\\\\\dfrac{2xin}{2in}=\dfrac{42.5in.ft}{2in}\\\\x=21.25ft

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The coordinate point F(-8, 0) after a dilation with scale factor of 0.25, centered at the origin, becomes the point
FrozenT [24]

Answer:

(-2,\, 0).

Step-by-step explanation:

Dilate a point (x,\, y) by a scale factor of r with (a,\, b) as the center, and the resultant point would be at (a + r\, (x - a),\, b + r\, (y - a)).

In this question:

Point to dilate: (x,\, y) = (-8,\, 0).

Scale factor: r = 0.25.

Center of dilation: (a,\, b) = (0,\, 0).

The resultant point would be:

(0 + 0.25\, (-8 - 0),\, 0 + 0.25\, (0 - 0)), which simplifies to (-2,\, 0).

5 0
3 years ago
Lois and Clark own a company that sells wagons.The amount they pay each of their sales employees (in dollars) is given by the ex
Karolina [17]
12h + 30w represents the amount paid to each employee.....where h is the number of hrs and w is the number of wagons sold.

working 6 hrs and selling 3 wagons.....so h = 6 and w = 3

12h + 30w = total pay
12(6) + 30(3) =
72 + 90 =
162 = total pay <===


8 0
3 years ago
Help please I'm so confused ​
Sergeu [11.5K]

Answer:

169.12

Step-by-step explanation:

I hope this is correct. First, you want to divide the semi-circle and the rectangle. To find the area of the rectangle, you do 16 x 9 to get 144. To find the area of the semi-circle, you do 3.14x16/2 to get 25.12. Then you want to add 144 and 25.12 to get 169.12. I hope this helps

5 0
3 years ago
Write -1/19, 7/4, -4/7 from least to greatest
zysi [14]

Answer:

-4/7, -1/19, 7/4

Step-by-step explanation:

The fractions converted into decimals would be -0.05, 1.75, -0.57

4 0
3 years ago
To investigate if there is an association between eating red meat and the health of individuals, researchers used data from a na
Reika [66]

Answer:

a) Observational study

b) No

c) No

-Eating habits

-Age

-Health hystory

Step-by-step explanation:

Hello!

An observational study is one where the investigator has no control or intervenes on it. He just defines the variable of interest and merely collects and documents the information. These types of studies are usually made as precursors to a more formal experimental study, to have an idea of what's to be expected from the population.

In this example, the researcher merely took the information of interest from the survey that was taken. The researcher did not intervene in any way in the experiment. Because of the lack of intervention from the researcher, it is not valid to use the conclusions of this experiment to generalize to all American adults. For instance, it is not sure that the sample is representative, all people responding to the survey may be healthy or have certain eating habits. This also shows that many confusing factors are not taken into account like:

-eating habits (from eating healthy to extreme cases like being vegetarian/vegan or eating only fast food)

-age, the age range is not defined, if the sample is taken from surveys answered by people in their early 20s it will be different in both eating habits and health information as if the interviewees are in their 30s or 40s

-before health issues, there can be other health conditions that may be affecting the interviewees.

I hope it helps!

5 0
3 years ago
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