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4 years ago

Which choice is equal to the fraction below?7/9A. 0.777OB. 0.7C. 0.77777777...

Mathematics

2 answers:

SOVA2 [1]4 years ago

6 0

Answer:

0.77777777777...

Step-by-step explanation:

7/9 = 7 divided by 9

7 divided by 9 = 0.77777777777...

Bingel [31]4 years ago

4 0

C. 0.777777777777778

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I need to solve this can anyone solve this?

xenn [34]

Answer:

d = 7

Step-by-step explanation:

7 times 5 = 35

35/5 = 7

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3 years ago

2. Find the equation of the line tangent to the curve with parametric equations x = 4 cos θ y = 9 sin θ at θ = π 4 .

Veronika [31]

Answer:

$9x+4y=36\sqrt{2}$

Step-by-step explanation:

The given equations are

$x=4\cos \theta$

$y=9\sin \theta$

Differentiate with respect to θ .

$\dfrac{dx}{d\theta}=-4\sin \theta$

$\dfrac{dy}{d\theta}=9\cos \theta$

$\dfrac{dy}{dx}=\dfrac{dy}{d\theta}\times \dfrac{d\theta}{dx}=\dfrac{9\cos \theta}{-4\sin \theta}=-\dfrac{9}{4}\cot \theta$

At θ = π/4 ,

$\dfrac{dy}{dx}=-\dfrac{9}{4}\cot (\dfrac{\pi}{4})=-\dfrac{9}{4}$

$x=4\cos (\dfrac{\pi}{4})=4(\dfrac{1}{\sqrt{2}})=\dfrac{4}{\sqrt{2}}$

$y=9\sin (\dfrac{\pi}{4})=9(\dfrac{1}{\sqrt{2}})=\dfrac{9}{\sqrt{2}}$

Slope of the tangent line is -9/4 and point of tangency is $(\dfrac{4}{\sqrt{2}},\dfrac{9}{\sqrt{2}})$ .

The equation of tangent line is

$y-y_1=m(x-x_1)$

where, m is slope.

$y-\dfrac{9}{\sqrt{2}}=-\dfrac{9}{4}(x-\dfrac{4}{\sqrt{2}})$

$y-\dfrac{9}{\sqrt{2}}=-\dfrac{9}{4}(x)+\dfrac{9}{\sqrt{2}}$

$\dfrac{9}{4}(x)+y=\dfrac{9}{\sqrt{2}}+\dfrac{9}{\sqrt{2}}$

$\dfrac{9}{4}(x)+y=\dfrac{18}{\sqrt{2}}$

Multiply both sides by 4.

$9x+4y=\dfrac{72}{\sqrt{2}}$

$9x+4y=36\sqrt{2}$

Therefore, the equation of the line tangent is $9x+4y=36\sqrt{2}$ .

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4 years ago

What is additive notation

Damm [24]

Answer:

Additive notation is a convention often used for representing a commutative binary operation of an algebraic structure. The symbol used for the operation is +.

* Hopefully this helps:) Mark me the brainliest:)!!

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3 years ago

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How many solution exist for the given equation .75 ( x + 40)

Dennis_Churaev [7]

.75(x+40)

=(0.75)(x+40)

=(0.75)(x)+(0.75)(40)

=0.75x+30

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4 years ago

Math help please with 4 questions :) tysm. will reward. <3

valentinak56 [21]

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4 years ago

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Which choice is equal to the fraction below?7/9A. 0.777OB. 0.7C. 0.77777777...​

Which choice is equal to the fraction below?7/9A. 0.777OB. 0.7C. 0.77777777...