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2 years ago

Which of the following could not be the lengths of sides of a right triangle?

Mathematics

1 answer:

Juliette [100K]2 years ago

7 0

Answer:

8,15,17

Step-by-step explanation:

it doesn’t match the triangle inequality theorem. the sum of the side lengths don’t exceed that of the third side

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Write (8a-^3) -2/3 in simplest form

Anna71 [15]

$(8a^{-3})^{\frac{-2}{3}} = \frac{a^2}{4}$

Solution:

Given that,

$(8a^{-3})^{\frac{-2}{3}$

We have to write in simplest form

Use the following law of exponent

$(a^m)^n = a^{mn}$

Using this, simplify the given expression

$(8a^{-3})^{\frac{-2}{3}} = 8^{\frac{-2}{3}} \times a^{ -3 \times \frac{-2}{3}}\\\\Simplifying\ we\ get\\\\(8a^{-3})^{\frac{-2}{3}} = 8^{\frac{-2}{3}} \times a^2\\\\We\ know\ that\ 8 = 2^3\\\\Therefore\\\\(8a^{-3})^{\frac{-2}{3}} =2^3^{\frac{-2}{3}} \times a^2\\\\(8a^{-3})^{\frac{-2}{3}} =2^{-2} \times a^2\\\\(8a^{-3})^{\frac{-2}{3}} = \frac{a^2}{4}$

Thus the given expression is simplified

8 0

3 years ago

In a department qstore, a $40 dress is marked, save 25%" what is the discount?

PSYCHO15rus [73]

To find the discount of an item you put the rate which is 25% over 100 and move the decimal point to the right this would leave you with 0.25.You then times $40 by 0.25 which leaves you with $10 so $10 is your discount.

To find the sales price of the dress you subtract the discounted price from the original price so it would be $40-$10 which is $30 so your sales price is $30.

8 0

3 years ago

How do you find the length in feet of a circle

Alika [10]

there is no length in a circle

4 0

3 years ago

Which feature is not used to help animals stay safe?

Vadim26 [7]

Answer to the question

C. Lungs

3 0

2 years ago

Read 2 more answers

It is found that on average, 9% of the population recycles its garbage. Under this assumption, if a random sample of 120 househo

BartSMP [9]

Complete Question

It is found that on average, 9% of the population recycles its garbage. Under this assumption, if a random sample of 120 households in Iowa City is taken, would you be surprised to find that fewer than 3% of households in the sample recycle their garbage? Use the fact that p-hat has an approximately normal distribution.

Group of answer choices

A I would not be surprised because there are lots of lazy students in Iowa City.

B I would not be surprised because 3% is not that far away from 9%.

C I would be surprised because Iowa City is a very clean community which means lots of people recycle their garbage.

D I would be surprised because if the 9% average is true, the chance of a sample proportion being less than 3% is very small (only 1%). Who cares? It's only garbage!

Answer:

The correct option is D

Step-by-step explanation:

From the question we are told that

The sample size is n = 120

The mean of the proportion is p = 0.09

Generally the standard deviation is mathematically represented as

$\sigma = \sqrt{\frac{p(1-p)}{n} }$