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3 years ago

24,29,32 determine whether the triangle is obtuse, right, acute, or not a triangle

Mathematics

1 answer:

marin [14]3 years ago

6 0

Answer:

When given 3 triangle sides, to determine if the triangle is acute, right or obtuse:

1) Square all 3 sides.

24^2= 576

29^2= 841

32^2= 1,024

2) Sum the squares of the 2 shortest sides.

576 + 841 = 1,417

3) Compare this sum to the square of the 3rd side.

if sum > 3rd side² Acute Triangle

It's an acute triangle.

if sum = 3rd side² Right Triangle

if sum < 3rd side² Obtuse Triangle

Step-by-step explanation:

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Is square root 72 rational or irrational explain

Shalnov [3]

Answer:

irrational

Step-by-step explanation:

it is not a perfect square.

square root of 72= 8.48528137424...

7 0

4 years ago

Suppose your boss wants you to obtain a sample to estimate a population mean. Based on previous analyses, you estimate that 49 i

VashaNatasha [74]

Answer:

the minimum sample size n = 11.03

Step-by-step explanation:

Given that:

approximate value of the population standard deviation $\sigma$ = 49

level of significance ∝ = 0.01

population mean = 38

the minimum sample size n = ?

The minimum sample size required can be determined by calculating the margin of error which can be re[resented by the equation ;

Margin of error = $Z_{ \alpha /2}} \times \dfrac{\sigma}{\sqrt{n}}$

$38 = \dfrac{2.576 \times 49}{\sqrt{n}}$

$\sqrt{n} = \dfrac{2.576 \times 49}{38}$

$\sqrt{n} = \dfrac{126.224}{38}$

$\sqrt{n} = 3.321684211$

$n= (3.321684211)^2$

n ≅ 11.03

Thus; the minimum sample size n = 11.03

5 0

3 years ago

Equivalent expression with only positive exponents. 10 3 × 10 -5 × 2 -8

Studentka2010 [4]

9982 is the correct answer

7 0

3 years ago

Area between two shapes. Pls help geometry IXL !

fenix001 [56]

Step-by-step explanation:

Area of shaded region = area of exterior rectangle - area of interior rectangle

$37 \times 28 - 11 \times 20 \\ \\ = 1,036 - 220 \\ \\ = 816 \: {yards}^{2} \\$

4 0

3 years ago

Read 2 more answers

The distance light travels in one year is known as a light year. A light year is equal to 5.87 × 1012 miles. The closest that Ea

pashok25 [27]

Answer:

$6.21\times 10^{-5}\ \text{light years}$

Step-by-step explanation:

The distance light travels in one year is known as a light year.

$1\ \text{light year}=5.87\times 10^{12}\ \text{miles}$

The closest that Earth ever gets to Jupiter is $3.65\times 10^8\ \text{miles}$

$3.65\times 10^8\ \text{miles}=\dfrac{1}{5.87\times 10^{12}}\times 3.65\times 10^8\ \text{light years}\\\\=6.21\times 10^{-5}\ \text{light years}$

Hence, the distance it will take light to travel from Earth to Jupiter at this distance is $6.21\times 10^{-5}\ \text{light years}$

4 0

3 years ago