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djverab [1.8K]
3 years ago
10

Given the points J(4,-7) and L(-2, 13) find the coordinates of point K on line JL such that the ratio of JK to JL 1:4

Mathematics
1 answer:
Anastasy [175]3 years ago
4 0

Answer:

The answer is K(2.5,-2)

Step-by-step explanation:

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SMART PEOPLE PLEASE HELP ME !!!!!!!!!!!!!!!!
Anika [276]

Answer:

B and D

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
the greatest volcanic eruption in recorded history took place in 1815 on the indonesian island of sumbawa, when the volcano tamb
algol [13]

Answer:

166\frac{2}{3}\ m

Step-by-step explanation:

Let

x ----> the average depth of the resulting layers of ash and rock

we know that

To find out the average depth, divide the cubic kilometers of molten rock by the area where all the ejected material fell.

so

\frac{100\ km^3}{600\ km^2}=\frac{1}{6}\ km

Convert to meters

Remember that

1\ km=1,000\ m

so

\frac{1}{6}\ km=\frac{1}{6}(1,000)=\frac{1,000}{6}=\frac{500}{3}\ m

Convert to mixed number

\frac{500}{3}\ m=\frac{498}{3}+\frac{2}{3}=166\frac{2}{3}\ m

7 0
3 years ago
A single-server waiting line system has an arrival pattern characterized by a Poisson distribution with 3 customers per hour. Th
sweet-ann [11.9K]

Answer:

18 minutes

Step-by-step explanation:

Given that:

The arrival time = 3 customers / hour

The avg. service rate (s) = 12 minutes per customer

To hour, we have:

s = \dfrac{60}{12}

s = 5 customers/ hour

Thus, the required average time for a customer needs to wait in line is:

= \dfrac{3}{5}\times (5-3) hours \\ \\ = \dfrac{3}{5}\times 2 \\ \\ = \dfrac{3}{10} \ hours

To minutes;

= 3 \times \dfrac{60}{10} \ minutes

= 18 minutes

3 0
3 years ago
Can someone help me with these
Trava [24]
Short answer
For 6: 72 ft^2
For 7: 650 m^2

Six
The base is a square. It's measurement is s = 4
Base = 4^2 
Base = 16 ft^2

One triangle 
A = 1/2 * b * h
A = 1/2 * 4 * 7
A = 14 tt^2

Four triangles
A = 4 * 14
A = 56 ft^2

Total Area = 56 + 16 = 72 ft^2
Answer 72 square feet

Seven
Triangles
Area of 1 triangle = 1/2 * 10 * 13
Area of 1 triangle = 65


Area of 6 triangles
Area of 6 triangles = 6 * area of 1 triangle
Area of 6 triangles = 390

Base
As near as I can tell, the base is a hexagon. It's using a rather out of the way method of drawing it. I will assume it is a regular hexagon. The area of a regular hexagon is 3 sqrt(3)/2 * S^2 where s is the side of the hexagon.

Area = 3sqrt(3)/2 s^2
s = 10
Area = 3sqrt(3)/2 10^2
Area = 5.1962 * 100 /2
Area = 259.81

Total area
Total area = area of the base + area of the triangles
Total area = 259.81 + 390
Total area (rounded ) = 650

Answer C <<<< answer 

I'll do one more in this batch and then you'll need to repost again.

Eight

If you draw two diagonals on the base of the figure, the intersection point will meet the base of the height. Read that a couple of times.
Join the intersection to the midpoint of the length of the square bottom.  You should get 3.5

x is found by using the pythagorean theorem.
h = 6
s = 3.5
x = ????

x^2 = 6^2 + 3.5^2
x^2 = 36 + 12.25
x^2 = 48.25
x = sqrt(48.25)
x = 6.95 

C <<<< answer

 


8 0
3 years ago
What is 36.5625 in fraction form
Romashka [77]
The answer is one hundred seventeen over three hundred twenty or 117/320

4 0
3 years ago
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