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IgorC [24]
3 years ago
8

In a right triangle, a and b are the lengths of the legs and c is the length of the hypotenuse. If b = 77 centimeters and c = 85

centimeters, what is the perimeter? If necessary, round to the nearest tenth.
Mathematics
1 answer:
MAVERICK [17]3 years ago
4 0

Answer:

The perimeter of the triangle 198 cm.

Step-by-step explanation:

Given that,

In a right angled triangle, a and b are the length of the legs and c is length of the hypotenuse.

Pythagorean Theorem:

Sum of square of the legs is equal to square of hypotenuse.

∴a²+b²=c²

a= ?, b= 77 cm and c=85 cm

a²+77²=85²

⇒a²+5929=7225

⇒a²=7225-5929

⇒a²= 1296

⇒a = 36 cm

The perimeter of the triangle = sum of all sides

                                                =a+b+c

                                                 =(36+77+85) cm

                                                = 198 cm

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fomenos

Answer:

The answer could be A

Step-by-step explanation:

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3 years ago
What is the inverse of f(x)=(x+6)2 for x≥–6 where function g is the inverse of function f? g(x)=x√−6, x≥0 g(x)=x−6−−−−√, x≥6 g(x
avanturin [10]

Answer:

g(x)=\sqrt{x}-6, x>=0

Step-by-step explanation:

f(x)=(x+6)^2

To find the inverse function , replace f(x) by y

y=(x+6)^2

Replace x with y and y with x

x=(y+6)^2

Solve the equation for y

take square root on both sides

+\sqrt{x} =y+6

Now subtract 6 from both sides

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replace y with g(x)

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3 years ago
In the figure below, ⎯⎯⎯⎯⎯⎯⎯⎯,⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯, and ⎯⎯⎯⎯⎯⎯⎯⎯⎯ are medians of △. If KC = 108 and OC = 2n+10, then n=
Nimfa-mama [501]

The question was incomplete. Below you will find the missing content.

In the figure below, BL, AM, and CK are medians of △ABC. If KC = 108 and OC = 2n + 10, then n=

The picture is attached below.

The value of n is 31.

The median is the line connecting the vertex and its midpoint on the opposite side of the triangle.

The intersection of all 3 medians of the triangle is called the centroid.

As we know centroid divides the median in the ratio of 2:1.

In the given picture,

Medians of triangle △ABC are AM, BL, and CK.

So the centroid of the triangle is O.

Given that KC= 108

As the centroid O divides the line KC in 2:1.

Let OC=2x

KO= X

As KC= KO+OC

⇒ 108= x+2x

⇒ 3x=108

⇒ x=108/3

⇒ x=36

Then OC= 2x= 2*36= 72

As given in the question OC= 2n+10

putting the value of OC in above equation

⇒ 72= 2n+10

⇒ 2n= 72-10

⇒ 2n=62

⇒ n=62/2

⇒n=31

Therefore the value of n is 31.

Learn more about the median of the triangle

here: brainly.com/question/2264495

#SPJ10

5 0
2 years ago
Can someone please write an equation to model this scenario which relates to the first two questions. I need it ASAP!
Vika [28.1K]

Answer:

y = 50x + 200

Step-by-step explanation:

the 200 is the y intercept because it is where his pay starts, so even if Matt doesnt make any sales he will still get 200 that week

the slope (50) is determined because that is what will change

if he makes 2 sales he will make 100 + 200 that week, and if he makes 4 sales he will make 200 + 200 that week and so on

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2 years ago
Given the two points (2,4) and (-3,2), what is the slope of the line that goes through both of these points?
Andreyy89
With the formula: m=(y1-y2)/(x1-x2) you can sub in the values to get the slope (m).

m=(4-2)/(2-(-3))
   = 2/5

Therefore the slope is 2/5.
5 0
2 years ago
Read 2 more answers
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