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Keith_Richards [23]
3 years ago
15

How can you determine the type of the triangle based on the lengths of the sides in a triangle?

Mathematics
1 answer:
Mama L [17]3 years ago
6 0

Answer:

You can determine the type of triangle using the following facts related to the converse of the pythag theorem

if a^2 + b^2 > c^2, then it is an obtuse triangle

if a^2+b^2<c^2, then it is an acute triangle

finally, if a^2+b^2=c^2, then it is a right triangle

<u><em>NOTE THAT C ALWAYS EQUALS THE LONGEST LENGTH OF THE TRIANGLE!!!</em></u>

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Find the distance between the points (-10, -9) and (-7, -1).
QveST [7]

Answer:

Distance: 8.5440037453175

Step-by-step explanation:

Distance: 8.5440037453175

Steps:

Distance (d) = √(-7 - -10)2 + (-1 - -9)2

= √(3)2 + (8)2

= √73

= 8.5440037453175

Slope and Angle:

ΔX = -7 – -10 = 3

ΔY = -1 – -9 = 8

Slope (m) =  

ΔY

ΔX

=  

8

3

= 2.6666666666667

θ =  

arctan( ΔY )

ΔX

= 69.443954780417°

Equation of the line:

y = 2.6666666666667x + 17.666666666667

or

y =  

8 x

3

+  53

3

When x=0, y = 17.666666666667

When y=0, x = -6.625

3 0
3 years ago
Read 2 more answers
Can someone help me with this? I’ve been struggling with it for a couple days and it’s due today. I’ll give brainliest if you an
Lynna [10]

Answer:

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Step-by-step explanation:

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6 0
2 years ago
A rhino can run 28 miles per hour. What is that speed in feet per second, to the nearest whole number?
Mrrafil [7]

Answer:

A rhino runs at a speed of about 28 miles per hour.

We need to determine the speed in feet per second.

Converting miles to feet:

The miles can be converted to feet by multiplying 5280 with 28 miles per hour.

Thus, we have;

28 x 5280 = 14784028 × 5280 = 147840

Thus, the speed of the rhino in feet per hour is 147840

Converting hours to seconds:

The hours can be converted into seconds by dividing 147840 by 3600 (Because an hour has 60 seconds in a minute and 60 minutes in an hour)

Thus, we get;

Speed=\frac{147840}{3600}Speed=

3600

147840

Speed = 41.066667Speed=41.066667

Rounding off to the nearest whole number, we get;

Speed = 41

Therefore, the speed of the rhino is 41 feet per second.

6 0
3 years ago
Plot two points that are 777 units from Point \blueD{D}Dstart color #11accd, D, end color #11accd and also share the same xxx-co
Karolina [17]

Right format of question:

Plot two points that are 7 units from Point D and also share the same x-coordinate as Point D.

Answer:

D' = (-4,-6) and D' = (-4,8)

Step-by-step explanation:

Given

D(x,y) = (-4,1)

Required

Determine a point 7 points from D and in the same x coordinate

Represent this point with D'.

From the requirement of the question, D' has two possible values and these values are:

D' = D(x,y-7) ----> 7 units down and

D' = D(x,y+7) ----> 7 units up

Substitute values for x and y in D' = D(x,y-7) and D' = D(x,y+7)

So, we have:

D' = D(x,y-7)

D' = (-4,1 - 7)

D' = (-4,-6)

D' = D(x,y+7)

D' = (-4,1+7)

D' = (-4,8)

3 0
3 years ago
What is the gcf of 12 18 26
navik [9.2K]

the greatest common factor is 2

5 0
3 years ago
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