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3 years ago

Choose the correct correspondence.

Mathematics

1 answer:

svp [43]3 years ago

6 0

chapati Duniya Lagti Hai Duniya

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Find the three numbers in AP whose sum is 15 and the product is 80

Margarita [4]

Answer:

8,5,2

Step-by-step explanation:

8 , 5, 2 Just use rigorous trial and error

3 0

3 years ago

Simplify and write the answer in exponential form. 3^4 x 3^5 a.) 3^9

givi [52]

Answer:

Step-by-step explanation:

<h3> IN EXPONNETIAL FORM :</h3>

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3 years ago

Heather earns $16 for each hour she works as a lifeguard. Choose the equation that models the situation, where h represents the

lord [1]

Answer:

I'm pretty sure the answer is m = 16h

Hope this helps!

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5 0

3 years ago

One of the interior angles of a regular polygon is 144. fine the number of sides of the polygon

lora16 [44]

Answer:

Step-by-step explanation:

In any polygon

exterior angle + interior angle = 180° , thus

exterior angle + 144 = 180 ( subtract 144 from both sides )

exterior angle = 36°

The sum of the exterior angles = 360°

Thus number of sides n is calculated as

n = 360 ÷ 36 = 10

3 0

3 years ago

Read 2 more answers

Could someplease explain the whole problem? For the first part my the answer I got was x= .618, -.618, and <img src="https://tex

algol13

9514 1404 393

Answer:

a) x = (√5 -1)/2 ≈ 0.618034

b) 1/x = (√5 +1)/2 ≈ 1.618034

Step-by-step explanation:

<u>Given</u>:

x/(1 -x) = 1/x

<u>Find</u>:

Exactly, and as a decimal approximation, ...

a) x, using the quadratic formula

b) 1/x

<u>Solution</u>:

a) We can multiply the given equation by x(1 -x) to obtain ...

x² = 1 -x

x² +x -1 = 0 . . . . . . add x-1

The coefficients for use in the quadratic formula are a=1, b=1, c=-1. The solution using the quadratic formula is ...

$x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}=\dfrac{-1\pm\sqrt{1^2-4\cdot1\cdot(-1)}}{2\cdot1}=\dfrac{-1\pm\sqrt{5}}{2}$

We are only interested in the positive solution, which is ...

$\boxed{x=\dfrac{\sqrt{5}-1}{2}\approx0.618034}$

b) The quadratic we developed in the first part can be rearranged like this:

x² +x = 1 . . . . . . add 1 to both sides

x(x +1) = 1 . . . . . factor out x

x +1 = 1/x . . . . . .divide by x

Then to find the value of 1/x, we simply need to add 1 to the value of x we have:

$\dfrac{1}{x}=\dfrac{\sqrt{5}-1}{2}+1=\dfrac{\sqrt{5}-1}{2}+\dfrac{2}{2}=\dfrac{\sqrt{5}-1+2}{2}\\\\\boxed{\dfrac{1}{x}=\dfrac{\sqrt{5}+1}{2}\approx1.618034}$

5 0

3 years ago