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2 years ago

What are lines that belong to the same plane and never intersect

Mathematics

2 answers:

Assoli18 [71]2 years ago

8 0

Answer:

Step-by-step explanation:

Coplanar : The lines which lie in the same plane are called coplanar lines. The lines l,m and n lie in the same plane so they are coplanar. 5) Skew lines : The two or more non-coplanar lines which do not intersect each others are called skew lines.

Alex_Xolod [135]2 years ago

5 0

Answer:

parallel lines

Step-by-step explanation:

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A house painter charges $14 per hour for the first 45 hours he works, time and a half for the 10 hours after that, and double ti

Digiron [165]

Answer: $1,540

Step-by-step explanation:

Given the following amount charged by a worker :

First 45 hours = $14 per hour

time and half for the next 10 hours

Double time for all hours after that:

If he worked for 80 hours :

First 45 hours = (45 × $14) = $630

Next 10 hours:

Time and half for 10 hours is equivalent to (10 × 1.5) = 15 hours

(15 × $14) = $210

Double time for all subsequent hours :

80 - (45 + 10) = 80 - 55 = 25

Double time : (2 × 25) = 50 hours

(50 × 14) = $700

Hence, total amount earned :

($630 + $210 + $700)

= $1,540

4 0

2 years ago

Analysts determined that the $255,000 salary is an outlier. The box-and-whisker plot for the remaining data is shown. Describe t

bekas [8.4K]

Answer:

edge 2020

Step-by-step explanation:

The data appears slightly skewed, so the median is probably the most appropriate measure.

My friend has a good chance of making between $16,000 and $23,000 because that is the range for the middle 50% of employees.

8 0

2 years ago

Read 2 more answers

Performance task: A parade route must start And and at the intersections shown on the map. The city requires that the total dist

GaryK [48]

Answer:

Part A: The proposed route does not meet requirement because it is longer than the maximum required length of 3 miles

Part B: For the total distance is as close to 3 miles as possible, the start point of the parade should be at the point on Broadway with coordinates (9.941, 4.970)

Part C: The coordinates of the cameras stationed half way down each road are;

For central avenue; (4, 2)

For Broadway; (7.97, 2.49)

Step-by-step explanation:

Part A: The length of the given route can be found using the equation for the distance, l, between coordinate points as follows;

$l = \sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}$

Where for the Broadway potion of the parade route, we have;

(x₁, y₁) = (12, 3)

(x₂, y₂) = (6, 0)

$l_1 = \sqrt{\left (0 -3\right )^{2}+\left (6-12 \right )^{2}} = 3 \cdot \sqrt{5}$

For the Central Avenue potion of the parade route, we have;

(x₁, y₁) = (6, 0)

(x₂, y₂) = (2, 4)

$l_2 = \sqrt{\left (4 -0\right )^{2}+\left (2-6 \right )^{2}} = 4 \cdot \sqrt{2}$

Therefore, the total length of the parade route =-3·√5 + 4·√2 = 12.265 unit

The scale of the drawing is 1 unit = 0.25 miles

Therefore;

The actual length of the initial parade =0.25×12.265 unit = 3.09 miles

The proposed route does not meet requirement because it is longer than the maximum required length of 3 miles

Part B:

For an actual length of 3 miles, the length on the scale drawing should be given as follows;

1 unit = 0.25 miles

0.25 miles = 1 unit

1 mile = 1 unit/(0.25) = 4 units

3 miles = 3 × 4 units = 12 units

With the same end point and route, we have;

$l_1 = \sqrt{\left (0 -y\right )^{2}+\left (6-x \right )^{2}} = 12 - 4 \cdot \sqrt{2}$

y² + (6 - x)² = 176 - 96·√2

y² = 176 - 96·√2 - (6 - x)²............(1)

Also, the gradient of l₁ = (3 - 0)/(12 - 6) = 1/2

Which gives;

y/x = 1/2

y = x/2 ..............................(2)

Equating equation (1) to (2) gives;

176 - 96·√2 - (6 - x)² = (x/2)²

176 - 96·√2 - (6 - x)² - (x/2)²= 0

176 - 96·√2 - (1.25·x²- 12·x+36) = 0

Solving using a graphing calculator, gives;

(x - 9.941)(x + 0.341) = 0

Therefore;

x ≈ 9.941 or x = -0.341

Since l₁ is required to be 12 - 4·√2, we have and positive, we have;

x ≈ 9.941 and y = x/2 ≈ 9.941/2 = 4.97

Therefore, the start point of the parade should be the point (9.941, 4.970) on Broadway so that the total distance is as close to 3 miles as possible

Part C: The coordinates of the cameras stationed half way down each road are;

For central avenue;

Camera location = ((6 + 2)/2, (4 + 0)/2) = (4, 2)

For Broadway;

Camera location = ((6 + 9.941)/2, (0 + 4.970)/2) = (7.97, 2.49).

5 0

2 years ago

You originally draw a design for an art contest on a 3 in. x 5 in. card. The second phase of the contest requires the drawing to

Bogdan [553]

I'm pretty sure it is 4, 10.5/5 = 2.1 and 8.5/2.1 = 4.047619047619048 which to the nearest tenth is 4.0 or 4......hope this helps,and hope it is correct!!

4 0

2 years ago

Noah wants to put $1,000 in a savings account with a 1.5% annual interest rate. How much more money will he have after one year

11111nata11111 [884]

Assuming that the 1.5% annual interest is split into monthly basis with the same amount, then the monthly interest should be: 1.5%/12= 0.125%.
If you put $1000 for annual interest, the saving account would become: $1000*(100%+1.5%)= $1015

If you put $1000 for monthly interest, the saving account would become: ($1000*(100%+0.125%)= $1000*1.0151035559= $1015.10

Then, the money difference should be: $1015.10-$1015= $0.10

8 0

2 years ago