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Citrus2011 [14]
3 years ago
11

An architect plans to make a drawing of the room of a house. The segment LM represents the ceiling of the room. He wants to cons

truct a line passing through Q and perpendicular to side LM to represent a wall of the room. He uses a straightedge and compass to complete some steps of the construction as shown..
Mathematics
2 answers:
aev [14]3 years ago
8 0
Here are the steps

1: Put the compass on Q and make the width equal to the distance from Q to L. Extend line LM towards the left side of L and draw an arc hitting the line segment on the left side of L

2. <span> Without changing the width and position of the compass, draw an arc between L and M.

3. Without changing the width of the compass, put the compass on the point of intersection of the arc and line LM (left side of L). Draw an arc above line LM.

4. Without changing the width of the compass, put the compass on the point of intersection of the arc and line LM (right side of L). Draw an arc above line LM.

5. Use a straight edge to make a line from the intersection of the two arcs above line LM to Q intersecting through L along the way. </span>
VARVARA [1.3K]3 years ago
7 0

Answer:

Without changing the width and position of the compass, draw an arc between L and M

Step-by-step explanation:

I took the test

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Consider the following set of vectors. v1 = 0 0 0 1 , v2 = 0 0 3 1 , v3 = 0 4 3 1 , v4 = 8 4 3 1 Let v1, v2, v3, and v4 be (colu
Alona [7]

Answer:

We have the equation

c_1\left[\begin{array}{c}0\\0\\0\\1\end{array}\right] +c_2\left[\begin{array}{c}0\\0\\3\\1\end{array}\right] +c_3\left[\begin{array}{c}0\\4\\3\\1\end{array}\right] +c_4\left[\begin{array}{c}8\\4\\3\\1\end{array}\right] =\left[\begin{array}{c}0\\0\\0\\0\end{array}\right]

Then, the augmented matrix of the system is

\left[\begin{array}{cccc}0&0&0&8\\0&0&4&4\\0&3&3&3\\1&1&1&1\end{array}\right]

We exchange rows 1 and 4 and rows 2 and 3 and obtain the matrix:

\left[\begin{array}{cccc}1&1&1&1\\0&3&3&3\\0&0&4&4\\0&0&0&8\end{array}\right]

This matrix is in echelon form. Then, now we apply backward substitution:

1.

8c_4=0\\c_4=0

2.

4c_3+4c_4=0\\4c_3+4*0=0\\c_3=0

3.

3c_2+3c_3+3c_4=0\\3c_2+3*0+3*0=0\\c_2=0

4.

c_1+c_2+c_3+c_4=0\\c_1+0+0+0=0\\c_1=0

Then the system has unique solution that is (c_1,c_2c_3,c_4)=(0,0,0,0) and this imply that the vectors v_1,v_2,v_3,v_4 are linear independent.

4 0
3 years ago
3(q-7)=273(q−7)=27 find q
skelet666 [1.2K]

Answer:

q = 16

Step-by-step explanation:

3(q - 7) = 27

3q - 21 = 27

3q = 27 + 21

3q = 48

q = 48/3

q = 16

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3 years ago
Estimate the product of 23.725 ×6.25. then find the product why is it a good idea to estimate first
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It's 154.687 because first you have to line up the dot which is call and. And you going to add your place holder which is a 0 next to the 2 and the you times
8 0
2 years ago
In order to develop a more appealing cheeseburger, a franchise used taste tests with 13 different buns, 5 different cheeses, 2 t
JulsSmile [24]

Answer:

<h3>If the taste tester takes 10 minutes to eat a cheeseburger, then it would take him  is 3276\times 10 = 32760 minutes Eating round the clock, it would take him   is \frac{546}{24} = 22 days 18 hours</h3>

Step-by-step explanation:

Given that "In order to develop a more appealing cheeseburger, a franchise used taste tests with 13 different buns, 5 different cheeses, 2 type of lettuce, and 3 types of tomatoes"

From the given we can write

13 buns

8 cheese

4 lettuces

3 tomatoes

 ∴ There would be  different cheeseburger combinations  is given by

13\times 8\times 4\times 3 = 3,276

Given that if the taste tester takes 10 minutes to eat a cheeseburger, then it would take him

3276\times 10 = 32760 minutes

Eating round the clock, it would take him

\frac{32760}{60}=546 hours

\frac{546}{24} = 22 days 18 hours

3 0
3 years ago
Which angle has a measure closet to 30 degrees?
gladu [14]

Answer:

b

Step-by-step explanation:

5 0
3 years ago
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