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grigory [225]
3 years ago
8

Hello there! Can I get someone help please ? Thanks!

Mathematics
1 answer:
natulia [17]3 years ago
4 0
Since they are right triangles use Pythagorean Theorem.
a^2 + b^2 = c^2 where c is the hypotenuse.

a.  12^2 + b^2 = 13^2
144 + b^2 = 169
subtract 144 from both sides
b^2 = 25
take the square root of both sides
t = 5  This is also know as a Pythagorean Triple 5-12-13

b.  a^2 + 9^2 = 12^2
     a^2 + 81 = 144
subtract 81 from both sides
a^2 = 63
take the square root of both sides
a = √63
a = √(9 * 7)
a = 3√7

c.   6^2 + 9^2 = c^2
    36 + 81 = c^2
117 = c^2
take the square root of each side
c = √117
c = √(9*13)
x = 3√13
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A freight trains departs from one train station to its destination at a constant speed. Suppose the distance the train is from t
marysya [2.9K]

Answer:

Distance = 54 miles (Approx)

Step-by-step explanation:

Given:

Co-ordinate of two point = (0.5,135) and (2,81)

Find:

Distance

Computation:

Distance = √(x1-x2)²+(y1-y2)²

Distance = √(2-0.5)²+(81-135)²

Distance = √2.25 + 2916

Distance = 54 miles (Approx)

6 0
3 years ago
IM PUTTING THIS FOR 30 POINTS PLEASE ANSWER
salantis [7]

Answer:

2(Jill) - 20 + (Jill) = 205

3(Jill) = 225

(Jill) = 75

(Jack) = 2(75) - 20 => 150 - 20 = 130

Jill= 75

Jack= 130

Step-by-step explanation:

6 0
3 years ago
The formula for interest is I=Prt. Describe what these letters stand for. Is the formula the same if you are charged interest on
prisoha [69]

Answer:

I stand for interest

P stand for principle

R stand for rate

T stand for time

There are the same.


7 0
3 years ago
Can someone please help me with # 2 #13 thanks show work how it's done, please
zavuch27 [327]

Problem 13

10p+10q factors to 10(p+q). If we apply the distributive property, we can distribute the 10 to each term inside (p and q) to get

10(p+q) = (10 times p)+(10 times q) = 10*p + 10*q = 10p+10q

so we get the original expression again. Here 10 is the GCF of the two terms.

--------------------------------------------------------------

Plug p = 1 and q = 2 into the factored form

10*(p+q) = 10*(1+2) = 10*(3) = 30

As a check, let's plug those p,q values into the original expression

10*p+10*q = 10*1+10*2 = 10+20 = 30

We get the same output of 30

6 0
3 years ago
Write an equation for the nth term of an arithmetic sequence then find a 25.
Damm [24]
Look up math way and type it in its free and it will help alot.
5 0
4 years ago
Read 2 more answers
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