Ask question

Ask question

All categories

3 years ago

13

you are asked to draw a triangle with side lengths of 4 inches, 5 inches and 1o inches. how many triangles can you make like thi

s

1 answer:

sdas [7]3 years ago

3 0

None!

The triangle inequality requires that the sum of any two sides must be greater than the third. Here 4+5<10, so no triangle can be drawn.

You might be interested in

Use the rules of exponents to evaluate or simplify. Write without negative exponents. 1/4^-1/2 = ___ a0

Nastasia [14]

For this case we have, by definition:

$a^{-b} =\frac{1}{a ^ b}$

So, we have:

$\frac{1}{4}^{-\frac{1}{2}}=\frac{1}{(\frac{1}{4})^{\frac{1}{2}}}$

On the other hand we have that by definition:

$a^{\frac{1}{2}}=\sqrt{a}$

Thus, the expression can be written as:

$\frac{1}{\sqrt {\frac{1}{4}}} =$

$\frac{1}{\frac{1}{\sqrt{4}}}$

$\frac{1}{\frac{1}{2}}$

$\frac{1*2}{1*1}=2$

So, we have:

$\frac{1}{4}^{-\frac{1}{2}}= 2$

Answer:

$\frac{1}{4}^{-\frac{1}{2}}= 2$

4 0

3 years ago

You are a researcher studying the lifespan of a certain species of bacteria. A preliminary sample of 35 bacteria reveals a sampl

pickupchik [31]

Answer: Sample size would be 296.

Step-by-step explanation:

Since we have given that

Standard deviation = 4.8 hours

Margin of error = 0.65 hours

At 98% level of confidence, z = 2.33

So, It becomes,

$0.65=z\times \dfrac{\sigma}{\sqrt{n}}\\\\0.65=2.33\times \dfrac{4.8}{\sqrt{n}}\\\\\dfrac{2.33\times 4.8}{0.65}=\sqrt{n}\\\\n=(\dfrac{11.184}{0.65})^2\\\\n=17.206^2\\\\n=296.051$

Hence, sample size would be 296.

7 0

2 years ago

Convert repeating decimal to fractions

timurjin [86]

Answer: 8/9

Step-by-step explanation: 0.888... can be simplified to 8/9.

6 0

2 years ago

8/9+2/3 in simplest form

svetlana [45]

Answer: 14/9

Step-by-step explanation:

multiple forms of simplfied answers.

Decimal: 1.5 (bar notation above 5)

Mixed Number: 1 5/9

4 0

3 years ago

Read 2 more answers

How can you add decimals without a place-value chart to make sure you are adding

Semmy [17]

Answer:

You can make sure that you align the decimal dots together.

Step-by-step explanation:

34.5

24.650

You can see that the decimal dot is aligned.

6 0

3 years ago