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3 years ago

Can a triangle have sides with the given lengths? Explain. 3 ft, 6 ft, 16 ft

Mathematics

1 answer:

Semmy [17]3 years ago

7 0

Answer:

Step-by-step explanation:

The givens lengths are too steep for the triangle to be closed, therefore it cannot be a triangle

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What is 1 7/9 - 4/9?

Lera25 [3.4K]

1 7/9 - 4/9

Convert 1 7/9 to an improper fraction:

16/9 - 4/9

Subtract the numerators together:

12/9

Convert to a whole number:

1 1/3

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3 years ago

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Tell whether each number is rational or irrational: Pi, -1/2, the square root of 2/3, and 0.57575757

DedPeter [7]

Pi: Irrational
√(2/3): Irrational

0.57575757 is rational
and -1/2 is rational.
I hope this helps.

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3 years ago

What is the product of (5× + 1)(5x - 1)?

padilas [110]

we are given

$(5x + 1)(5x - 1)$

we can distribute it

$5x*5x-1*5x+1*5x-1*1$

$25x^2-5x+5x-1$

now, we can simplify it

$25x^2-1$ ...............Answer

6 0

3 years ago

10 points, doing this one again because I got a wrong answer last time but regardless thank you for trying to help

Alik [6]

Hey ! there

Answer:

Value of missing side i.e. TE is 12 feet

Step-by-step explanation:

In this question we are provided with a right angle triangle having TS - 35 ft and SE - 37 ft . And we are asked to find the missing side that is TE using Pythagorean Theorem .

Pythagorean Theorem : -

According to Pythagorean Theorem sum of squares of perpendicular and base is equal to square of hypotenuse in a right angle triangle i.e.

H² = P² + B²

Where ,

H refers to Hypotenuse

P refers to Perpendicular

B refers to Base

Solution : -

In the given triangle ,

Base = TE

Perpendicular = TS ( 35 feet )

Hypotenuse = SE ( 37 feet )

Now applying Pythagorean Theorem :

$\quad \longmapsto \qquad \:SE {}^{2} = TS {}^{2} + TE {}^{2}$

Substituting values :

$\quad \longmapsto \qquad \:37 {}^{2} = 35 {}^{2} + TE {}^{2}$

Simplifying it ,

$\quad \longmapsto \qquad \:1369 = 1225 + TE {}^{2}$

Subtracting 1225 on both sides :

$\quad \longmapsto \qquad \:1369 - 1225 = \cancel{1225} + TE {}^{2} - \cancel{1225}$

We get ,

$\quad \longmapsto \qquad \:144 = TE {}^{2}$

Applying square root to both sides :

$\quad \longmapsto \qquad \ \sqrt{ 144} = \sqrt{TE {}^{2}}$

We get ,

$\quad \longmapsto \qquad \: \red{\underline{\boxed{\frak{TE = 12 \: feet}}}} \quad \bigstar$

Henceforth , value of missing side is 12 feet .

Verifying : -

Now we are verifying our answer using Pythagorean Theorem . We know that according to Pythagorean Theorem ,

SE² = TS² + TE²

Substituting value of SE , TS and TE :

37² = 35² + 12²

1369 = 1225 + 144

1369 = 1369

L.H.S = R.H.S

Hence , Verified .

Therefore , our answer is correct .

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2 years ago

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Decide if the answer to 8/7 x 12 is less than, greater than, or equal to 12.

Genrish500 [490]

Answer:

Option C.

Step-by-step explanation:

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2 years ago

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