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lions [1.4K]
2 years ago
12

A club at school designed a banner consisting of two congruent triangles surrounded by stripes. The length of the sides of each

of the triangles were 1.5 feet, 2.0 feet, 2.5 feet. Are the triangles right triangles? Explain
Mathematics
1 answer:
trasher [3.6K]2 years ago
6 0

Answer:

Yes. They are Right Triangles

Step-by-step explanation:

To determine if the triangles are right triangles, all you need to do is verify whether or not the dimensions satisfy the Pythagoras Theorem.

Pythagoras Theorem:Hypotenuse^2=Opposite^2+Adjacent^2

Note that in a right triangle, the l<u>ongest side is always the hypotenuse.</u>

Given the length of the sides 1.5 feet, 2.0 feet, 2.5 feet

2.5^2=1.5^2+2.0^2\\6.25=2.25+4\\6.25=6.25

Since the Pythagoras theorem holds, the triangles are in fact right triangles.

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Roman55 [17]

(x^3+x^2+x+2) divide by (x^2-1)

We use long division to divide

There is no x term in x^2 -1  so we put 0x

                         x   +    1

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

x^2+0x-1           x^3+ x^2 + x+ 2

                         x^3+0x^2-x

                         -----------------------------(subtract the bottom from top)

                               x^2 +2x + 2

                               x^2 +0x - 1

                          --------------------------------(subtract the bottom from top)

                                      2x + 3

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

Quotient : x+1

Remainder : 2x+3

                               


5 0
2 years ago
No one can succeed in his or her career without relying on others for help or
saveliy_v [14]

Answer:

I think A is the answer hope this help's! sorry if it's wrong

Step-by-step explanation:

4 0
3 years ago
What is the product?
ZanzabumX [31]
To get the answer to this equation you first cancel out the 6! ;)

(x^2-1)(6x-1) / (x+1)

Then rewrite x^2-1 in the form a^2 + b^2, where a=x and b=1

(x^2-1^2)(6x-1) / (x+1)

Then use the difference of squares!

(x+1)(x-1)(6x-1) / (x+1)

LASTLY cancel "x+1" !

so ur answer is (x-1) (6x-1)

That makes the correct answer to this problem answer choice (D) (x-1) (6x-1)

YW!!!  ;) 
6 0
3 years ago
Read 2 more answers
Calculate the distance between the points N=(-5, 9) and P=(-1, 2) in the coordinate plane.
GalinKa [24]

Answer:

j

Step-by-step explanation:

5 0
3 years ago
2) Angelina is deciding which bank would give her the
Nutka1998 [239]

Answer:

3.33%

Step-by-step explanation:

Given that :

Final amount A= 320

Principal P = 300

Time (t) = 2 years

Yes, the information is enough to obtain the interest rate :

Using the relation :

A = P(1 + rt)

r = interest rate

320 = 300(1 + r*2)

320 = 300(1 + 2r)

320/300 = 1 + 2r

1.0666666 = 1 + 2r

1.0666666 - 1 = 2r

0.0666666 = 2r

r = 0.0666666 / 2

r = 0.0333333

(0.0333333) * 100% = 3.33%

7 0
3 years ago
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