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2 years ago

A triangle has two sides of length 1 and 8. What is the smallest possible whole-number length for the third side?

Mathematics

1 answer:

valkas [14]2 years ago

7 0

Answer:

Step-by-step explanation:

For the smallest possible length, this has to be one of the shorter sides. Let the length of this side be x.

So, by the triangle inequality theorem, 1+x>8, which means x>7.

So, the smallest possible whole number length is 8.

You might be interested in

What is the equation of the line that is perpendicular to y, =, 1 over 3 x, 4. And contains the point negative 2, negative 5,?.

Anit [1.1K]

The equation of the line is, $\rm y = 3x + 1$ .

Given that,

The equation of the line is,

$\rm y = \dfrac{1}{3} x+4\\$

And contains the point (-2, -5).

We have to determine,

What is the equation of the line that is perpendicular to the given line?

According to the question,

The equation of the line is,

$\rm = \dfrac{1}{3}x + 4\\$

On comparing with the standard equation of the line y = mx +c.

The slope of the line $m_1$ is 1/3.

When two lines are perpendicular the relation between these slopes is,

$\rm m_1\times m_1 = {-1}\\\\\dfrac{-1}{3} \times m_2 = -1\\\\-1 \times m_2 = -1 \times 3\\\\-m_2 = -3\\\\m_2 = 3$

And line contains the point (-2, -5).

Then,

$\rm y = mx +c \\\\-5 = 3 (-2) + c\\\\-5 = -6+c \\\\c = 6-5 \\\\c = 1$

Therefore,

The equation of the line that is perpendicular to the given line and contains the point (-2, -5) is,

$\rm y = mx +c \\\\y = 3x +1$

Hence, The required equation of the line is, $\rm y = 3x + 1$ .

For more details refer to the link given below.

brainly.com/question/14388443

7 0

2 years ago

Find the measure of the arc or angle indicated.

Shkiper50 [21]

9514 1404 393

Answer:

arc AC = 63°

Step-by-step explanation:

Arc BC is twice the measure of inscribed angle BAC, so is ...

arc AC = 2×89° = 178°

The remaining arc of the circle is the difference between 360° and the sum of the other two.

arc AC = 360° -119° -178°

arc AC = 63°

4 0

3 years ago

What is the constant of the expression? 5x−2y+2.4

Leno4ka [110]

The correct answer is the 2.4

The constant in an equation is the number(s) that don't have variables.

This is because variables can change the number they are attached to, making them not constant.

Hope this helps!

6 0

3 years ago

Read 2 more answers

Please help!! asap!!!

Lubov Fominskaja [6]

Solution:

Rewrite 3 ≥ y - 2 for easier calculation:

y - 2 ≤ 3

Move the term:

y ≤ 3 + 2

y ≤ 5

When graphing the solution, filled dot (black arrow) is used for ≤ and ≥ while empty dot (white arrow) is used for < >

6 0

2 years ago

Fractions equivalent to - 9/16

kiruha [24]

Answer:

Equivalent Fractions for 9/16: There are infinity equivalent fractions to 916. See some examples: 916, 1832, 2748, 3664, 4580, 5496, 63112, 72128, 81144, 90160, 99176, 108192, 117208, 126224, 135240, 144256, 153272, 162288, 171304

Step-by-step explanation:

NOT my answer, got it from g0ogle..

5 0

3 years ago