How many different (non-conguerent) triangles  have integer side lengths and perimeter 2014

Answers

Answer 1
Answer: Take all the possible triangles. That is, all triplets of numbers a,b,c that have a total sum of 2014 and obey the conditions: a<b+c;b<c+a;c<a+b. All triangles have been taken 3 times, so divide the count by 3.

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What is the equation of a line passing through the point (a, b) and having a slope of b?

Answers

From the slope form of a line;
(y-b)/(x-a) =b
y-b=bx-ab
y=bx-ab+b
y=bx-b(a-1)

Answer:

The equation is y-a= b(x-b)

Step-by-step explanation:

I use bold for the slope so you can differentiate the slope term b from the y coordinate value b.

The equation of a line passing through a specific point and having a specific slope can be obtained using the point slope form of a line :

y-y1=m(x-x1) where m is the slope and (x1,y1) is your specific point.

So replacing your values, the point  (x1,y1) =(a,b) and m=b, in this equation we havE:

y-a= b(x-b)

That can be expressed in point slope form and explicit for as.

y = b(x-b) + a = bx -bb +a =

y= bx + (a -bb)

the us postal service delivered 7.14 x 1010 pieces of mail in the month of december and 3.21 x 1010 in the month of january. What is the total mail delivered for these two months?a) 1.035 x 109 b) 1.035 x 1010 c) 1.035 x 10-10 d) 1.035 x 1011 someone help fastt!

Answers

The postal service delivered:

7.14 × 1010 pieces of mail in December

3.21 × 1010 pieces of mail in January

Total number of mail delivered is;

(7.14 + 3.21) × 1010

= 10.35 × 1010

= 1.035 × 10100 (in one decimal point form)

Answer:

The correct answer for this problem is

d) 1.035 x 10^11

Step-by-step explanation:

I know this because I just did the test

a piece of licorice is to be cut into 10 equal size pieces. if the length of the piece of licorice is 2/3 yard, how long will each piece of licorice be?

Answers

Sooo, 2/3 of a yard is 2 feet because a yard is 3 feet. If you need 10 of the same pieces and you convert feet to inches you would have 24 inches. 24/10= 2.4. Each piece of licorice would need to be 2.4 inches long if you wanted the same length.

A falcon flying 55 mph crosses a lake in 1 minute. How long would it take a hummingbird flying 45 mph to cross the same lake?

Answers

The hummingbird will take 1 minute 13 seconds.

Let the time that will be taken by the hummingbird be represented by x

Note that 1 minute = 60 seconds

Based on the information given, the equation that'll be used in the question will be:

45/55 = 60/x

Cross multiply

(45 × x) = (60 × 55)

45x = 3300

x = 3300/45

x = 73.33 seconds

x = 1 minute 13 seconds

The hummingbird will take 1 minute 13 seconds.

Read related link on:

brainly.com/question/16733139

Answer:

1 2/9 minutes

Step-by-step explanation:

55 mph

55 / 60 = 11/12

11/12 of a mile = 1 minute

45 mph

45 / 60 = 3/4

3/4 of a mile = 1 minute

11/12 divided by 3/4

11/12 * 4/3

We can cross-cancel

11/3 * 1/3 = 11/9 = 1 2/9

It takes 1 2/9 minutes for the hummingbird to cross the lake

Hope this helps!

(Please let me know if I did something wrong!)

1. A pair of supplementary angles is shown. One angle measures 10x and the other angle measures 70 degrees.What is the value of x?

A) 10°
B) 11°
C) 20°
D) 21°


2. A right angle is shown divided in two parts. The measure of the angle of one part is 30 degrees and the measure of the other part is 5x plus 15 degrees. What is the value of x?

A) 3
B) 9
C) 12
D) 15

Answers

1.
supplementary add to 180
10x+70=180
minus 70 both sides
10x=110
divid both sides by 10
x=11 degrees
B


2.
right angle is 90 degrees
30+5x+15=90
5x+45=90
minus 45 both sides
5x=45
divide 5 both sides
x=9
B



1. B
2. B

1) 10x+70 = 180

 10x = 180-70

  10x = 110

  x =11

2) 5x+15+30 =90

   5x = 90-45

   x = 45/5

   x = 9

Ryan has 8 kittens. two are white. what fractions of the kittens ar not white are not? write in simplest form.

Answers

The fraction of the kittens that are not white is 3/4.

What are fractions?

Fractions are non-integers. Fractions are made up of numerators and denominators. An example of fractions is 1/2. 1 is the numerator and 2 is denominator.

What is the fraction of the kittens that are not white?

Number of kittens that are not white = number of non-white kittens / total number of kittens

(8 - 2) / 8 = 6/8 = 3/4.

To learn more about fractions, please check: brainly.com/question/25779356

Answer:

2/12 marbles

10/12+2/12=12/12=1

Step-by-step explanation: