All categories

3 years ago

What’s the range of possible sizes for side x?

Mathematics

1 answer:

vivado [14]3 years ago

5 0

Answer:

1.3< x < 6.7

Step-by-step explanation:

we know that

The <u>Triangle Inequality Theorem,</u> states that <u>t</u>he sum of the lengths of any two sides of a triangle is greater than the length of the third side

Let

x----> the measure of the third side of triangle

Applying the triangle Inequality Theorem

1) 4.0+2.7 > x

6.7 > x

rewrite

x< 6.7 units

2) x+2.7 > 4.0

x> 4.0-2.7

x> 1.3 units

therefore

The range of possible sizes for side x is the interval-----> (1.3,6.7)

1.3< x < 6.7

You might be interested in

Please help will mark as brainless

Wewaii [24]

Answer:

1. r = $\sqrt[3]{\frac{3v}{4\pi } }$

divide v by 4/3, this is the same as multiplying v by 3/4 so you have 3v/4

then divide v by $\pi$ so you now have 3v/4 $\pi$

then get rid of the ^3 on r by putting the solution for r under a ∛

2. a) The equation might need to be written in terms of a because you may not know the value of a, but you know the value of everything else. If this is the case then you can simply rewrite the equation so that you can plug it all into a calculator and avoid certain possible errors.

s = ut + 1/2 $at^{2}$

subtract ut from both sides: s - ut = 1/2 $at^{2}$

multiply both sides by 2: 2(s - ut)

divide both sides by $t^{2}$ : $\frac{2(s - ut) }{t^{2} }$ = a

answer: a = $\frac{2(s - ut) }{t^{2} }$

I'm not entirely sure about b) for question 2 so you might wanna double check that with a friend

4 0

3 years ago

An infant is 32.625 inches long write this as a common fraction

elena-14-01-66 [18.8K]

32.625 is the same as 32 and 5/8 .

8 0

3 years ago

Read 2 more answers

Chubb early on a snack store and is showing Billy Bob how to make some of the items he sells currently he is showing Billy Bob h

vagabundo [1.1K]

$\bf \begin{array}{lccclll}
&\stackrel{lb}{amount}&\stackrel{lb}{price}&\stackrel{total}{price}\\
&------&------&------\\
\textit{plain popcorn}&p&3&3p\\
\textit{caramel popcorn}&c&2.2&2.2c\\
-------&------&------&------\\
mixture&10&2.5&25
\end{array}$

so hmm whatever "p" and "c" are, we know that p + c = 10.

and we also know that 3p + 2.2c = 25

thus

$\bf \begin{cases}
p+c=10\implies \boxed{c}=10-p\\
3p+2.2c=25\\
----------\\
3p+2.2\left(\boxed{10-p} \right)=25
\end{cases}
\\\\\\
3p+22-2.2p=25\implies 3p-2.2p=25-22\implies 0.8p=3
\\\\\\
p=\cfrac{3}{0.8}\implies p=\cfrac{15}{4}\implies p=3.75$

how much will it be needed for caramel popcorn? well, c = 10 - p.

4 0

3 years ago

Simplify to create an equivalent expression "-4(-11+4n)-3(-2n+9)"

ad-work [718]

The expression -4 (-11 + 4n) – 3(- 2n + 9) is equivalent to the expression 17 — 10n.

<h3>What is an equivalent expression?</h3>

The equivalent is the expressions that are in different forms but are equal to the same value.

The expression is given below.

⇒ -4 (-11 + 4n) – 3(- 2n + 9)

On simplifying, we have

⇒ 44 – 16n + 6n – 27

⇒ 17 — 10n

More about the equivalent link is given below.

brainly.com/question/889935

#SPJ1

4 0

2 years ago

andrew11 [14]

The answer is. A jeranabo

6 0

3 years ago