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Slav-nsk [51]
3 years ago
7

Solve for the length of the hypotenuse

Mathematics
2 answers:
Rudiy273 years ago
6 0

Answer:

5000

Step-by-step explanation:

3000^{2} + 4000^{2} = 25000000

\sqrt{25000000} = 5000

Inessa [10]3 years ago
3 0

Answer:

5000

Step-by-step explanation:

In a right triangle ,

{c}^{2}  =  {a}^{2}  +  {b}^{2}

=  > c =  \sqrt{ {a}^{2} +  {b}^{2}  }

where -

  • c = hypotenuse
  • a & b = the other two sides of the triangle

According to the question , let the hypotenuse of the triangle be 'c' . So ,

c =  \sqrt{ {3000}^{2} +  {4000}^{2}  }

=  > c =  \sqrt{9000000 + 16000000}

= >  c =  \sqrt{25000000}  = 5000

Hence , c = 5000

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Two identical jars are filled with equal numbers of marbles. The marbles are colored red or white. The ratio of red to white mar
IrinaK [193]
Let a=the number of white marbles in Jar 1
Let b=the number of white marbles in Jar 2
Total number of white marbles is a+b=90

Jar 1 has a white marbles and 7a red marbles so 8a marbles total
Jar 2 has b white marbles and 9b red marbles so 10b marbles total
Since both jars have equal amounts of marbles, 8a=10b

We have a system of equations:
a+b=90
8a=10b

The number of red marbles in Jar 2 is 9b so we solve for b

8a=10b
⇒a=\frac{5}{4}b
⇒\frac{5}{4}b+b=90
⇒\frac{9}{4}b=90
⇒b=40
Number of red marbles in Jar 2 is 9b=360

So there are 360 red marbles in Jar 2.
8 0
3 years ago
In the diagram PQR and T are points on the circumference of a circle PTS and QRS are straight lines.PR is a diameter , QSP=28° a
Digiron [165]

Step-by-step explanation:

a)<PTR=90°(angles in a semicircle)

<RPT=50°

<PRT + <PTR + <RPT=180°(angles in a triangle)

<PRT=180-(90+50)

<PRT=40°

b)From ∆QTS

<TQS = <RTP =50°

<QTS=180-(50+28)

<QTS=102°

c)<QTR=180-(90+50)

<QTR=40°

4 0
3 years ago
Write the standard form of the equation y+3=0
tamaranim1 [39]

Answer:

y=-3

Step-by-step explanation:

y+3=0

y+3-3=0-3

y=-3

3 0
4 years ago
What is the distance between -40 and 185
Anarel [89]

Answer:

225

Step-by-step explanation:

185-(-40)=

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3 0
4 years ago
Read 2 more answers
Simplify the expression. 7d + 3 - 2d
Elena-2011 [213]

Answer:

5d+3

Step-by-step explanation:

just as you combine regular numbers you can combine terms that have the same variable raised to the same exponent, and 7d-2d=5d. So the equation simplifies to 5d+3

4 0
3 years ago
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