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Alexxandr [17]
2 years ago
5

A blueprint for a building includes a rectangular room that measures 3 inches long and 7.5 inches wide The scale for the bluepri

nt says that 1 inch on the blueprint is equivalent to 10 feet in the actual building. What are the dimensions of this rectangular room in the actual building?​
Mathematics
1 answer:
azamat2 years ago
6 0

3 · 7.5 = 22.5:  22.5 is the area of the building on the blueprint in inches

22.5 · 10 = 225 feet squared is the area of the building in real life.

hope this helped!

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Factor 2x^3 - 3x^2 + 2
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Answer:

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Step-by-step explanation:

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3 0
2 years ago
M is the incenter of triangle ABC. Find the lengths of MD and DC. (Look at pic)
Deffense [45]

Answer:

Part 1) MD=9\ units

Part 2) DC=12\ units

Step-by-step explanation:

Step 1

Find the length of MD

we know that

The incenter is the intersection of the angle bisectors of the three vertices of the triangle. Is the point forming the origin of a circle inscribed inside the triangle

so

In this problem

MD=ME=MF ------> is the radius of a circle inscribed inside the triangle

we have that

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therefore

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MD=9\ units

Step 2

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we know that

In the right triangle MDC

Applying the Pythagoras theorem

MC^{2} =MD^{2}+DC^{2}

we have

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MC=15\ units

substitute

15^{2} =9^{2}+DC^{2}

DC^{2}=225-81

DC=\sqrt{144}\ units

DC=12\ units

6 0
3 years ago
A $387.50 item is marked down by 49%.<br> What is the new cost of the item?
Free_Kalibri [48]
Initial(1-markdown)
387.50(1-49%)=197.625

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