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2 years ago

Which set of characteristics produces one unique triangle

Mathematics

1 answer:

Lapatulllka [165]2 years ago

3 0

Answer:

The first one because all characteristics mentioned in other options makes an scalene triangle but the first option makes isosceles triangle.

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Jayden and Sheridan both tried to find the missing side of the right triangle. A right triangle is shown. One leg is labeled as

stellarik [79]

Answer:

Sheridan's Work is correct

Step-by-step explanation:

we know that

The lengths side of a right triangle must satisfy the Pythagoras Theorem

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

where

a and b are the legs

c is the hypotenuse (the greater side)

In this problem

Let

$a=7\ cm\\c=13\ cm$

substitute

$13^{2}=7^{2}+b^{2}$

Solve for b

$169=49+b^{2}$

$b^{2}=169-49$

$b^{2}=120$

$b=\sqrt{120}\ cm$

$b=10.95\ cm$

we have that

<em>Jayden's Work</em>

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

$a=7\ cm\\b=13\ cm$

substitute and solve for c

$7^{2}+13^{2}=c^{2}$

$49+169=c^{2}$

$218=c^{2}$

$c=\sqrt{218}\ cm$

$c=14.76\ cm$

Jayden's Work is incorrect, because the missing side is not the hypotenuse of the right triangle

<em>Sheridan's Work</em>

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

$a=7\ cm\\c=13\ cm$

substitute

$7^{2}+b^{2}=13^{2}$

Solve for b

$49+b^{2}=169$

$b^{2}=169-49$

$b^{2}=120$

$b=\sqrt{120}\ cm$

$b=10.95\ cm$

therefore

Sheridan's Work is correct

6 0

2 years ago

Read 2 more answers

My brain is too tired to function someone save me

lina2011 [118]

Answer:

(3,2)

Step-by-step explanation:

Hope I helped

5 0

2 years ago

-4x+2y=0<br> 10x+3y=8<br><br> HELPPPPPPP

tatiyna

Answer:

x=1/2 y =1

Step-by-step explanation:

(-4x+2y)/2x5=0/2x5

10x+3y=8

(-2x+y)x5=0

10x+3y=8

-10x+5y=0

10x+3y=8

8y=8

y=1

x=1/2

5 0

1 year ago

Point w is located ar -5,-3 select all of the following that are 5 units from w

BaLLatris [955]

A and B are both 5 units from it

7 0

2 years ago

When Mr. P. drinks an 8-ounce glass of cola, how many teaspoons of sugar is he consuming if one teaspoon of sugar provides 4 gra

natta225 [31]

The number of teaspoons of sugar that Mr. P. consumes is = 56.7 teaspoons.

<h3>Calculation of total sugar quantity</h3>

The total amount of cola taken is 8-ounce

To covert ounce to grams , the following is carried out;

1 ounce =28.35g

8 ounce = X

Xg = 8 × 28.35

X = 226.8g

But one teaspoon = 4 grams

X teaspoon = 226.8g

cross multiply to solve for x

X = 226.8g/ 4

X = 56.7 teaspoons

Therefore, the number of teaspoons of sugar that Mr. P. consumes is = 56.7 teaspoons.

Learn more about multiplication here:

brainly.com/question/10873737

4 0

1 year ago