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3 years ago

What is the area of a triangle whose vertices are J(−2, 1) , K(4, 3) , and L(−2, −5) ?

1 answer:

6 0

Vertices of the triangle:
J (-2,1), K (4,3), and L (-2,-5) 
Area of triangle: 18

or
determinant=
4,3,1 
-2,1,1 
-2,-5,1 
determinant= 4(1+5)-3(-2+2)+1(10+2) = 36 
A = determinant/2
36/2=18
Notice that one side is vertical. Use that side as base.
Area is 18.

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A bookshelf contains 10 mysteries, 8 biographies, and 6 science fiction books. A book is randomly selected, replaced, then anoth

Pachacha [2.7K]

Answer:

Biography= 8/24= 1/3

Science Fiction= 6/24= 1/4

Step-by-step explanation:

The probability for biography is (biography/total amount of books.)

8/24= 1/3

The probability for science fiction is (science fiction/ total amount of books.)

6/24= 1/4

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4 years ago

7000 litres of water is pumped out of a tank in 42 minutes. How many litres could be pumped out in one hour at the same rate?

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3 years ago

The ribbon was 3 1/4 inches wide and had an area of 19 1/2 square inches. What is the length of the ribbon? Please Help Will Giv

miv72 [106K]

Hello!

The formula for finding area is l × w

If the area is 19 ½ inches and it was 3 ¼ inches wide, then the length will be 19 ½ ÷ 3 ¼ (Area ÷ Width)

$19 \frac{1}{2} \div 3 \frac{1}{4}$

Change both to improper fraction

$19 \frac{1}{2} = \frac{39}{2}$

$3 \frac{1}{4} = \frac{13}{4}$

$\frac{39}{2} \div \frac{13}{4}$

Keep 39/2
Change ÷ to ×
Flip 13/4 = 4/13

$\frac{39}{2} \times \frac{4}{13} = \frac{156}{26} = 6$

$\framebox {The length of the ribbon is 6 inches}$

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3 years ago

Read 2 more answers

A company that teaches self-improvement seminars is holding one of its seminars in Lancaster. The company pays a flat fee of $98

alukav5142 [94]

Answer:

Step-by-step explanation:

Let x represent the number of attendees that it will take the company to break even.

The company pays a flat fee of $98 to rent a facility in which to hold each session. Additionally, for every attendee who registers, the company must spend $16 to purchase books and supplies. This means that the total cost that the company would pay for x attendees is

16x + 98

Each attendee will pay $65 for the seminar. This means that the total revenue that the company would generate from x attendees is 65x.

At the break even point,

total cost = total revenue

Therefore,

16x + 90 = 65x

65x - 16x = 98

49x = 98

x = 98/49

x = 2

It will take 2 attendees and the total expenses and revenues is

2 × 65 = $130

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3 years ago

An angle bisector has been created. Solve for x.

poizon [28]

I hope this helps you

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4 years ago