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3 years ago

Approximate the value of 5 pi

Mathematics

2 answers:

alexgriva [62]3 years ago

6 0

Answer:

slightly more than 15

Step-by-step explanation:

Tip: Use a calculator, it is very helpful and most often allowed in exams that include the calculation of pi.

1. Setup the problem: 5(pi)

2. Plug in the problem to receive: 15.70796...

3. The answer is slightly more than 15

ALSO: The first 3 digits of pi are 3.14, which is near the whole number 3. 5x3 = 15, so it is slightly more than 15.

Tju [1.3M]3 years ago

4 0

Answer:

15.7079

Step-by-step explanation:

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VLD [36.1K]

Answer:

-12

Step-by-step explanation:

Since a = -6,we have to multiply 2 and -6,and you get -12 bc we have to put the sign of the bigger digit which is -6 in this problem,so you have to write -12

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3 years ago

If m∠EBF = 6x + 4 and m∠CBF = 7x – 2, find m∠EBF.

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3 years ago

Read 2 more answers

Find the equation of the tangent line to the curve (a lemniscate)

olya-2409 [2.1K]

Answer:

$m=\frac{9}{13}$ and $b=\frac{40}{13}$

Step-by-step explanation:

The equation of curve is

$2(x^2+y^2)^2=25(x^2-y^2)$

We need to find the equation of the tangent line to the curve at the point (-3, 1).

Differentiate with respect to x.

$2[2(x^2+y^2)\frac{d}{dx}(x^2+y^2)]=25(2x-2y\frac{dy}{dx})$

$4(x^2+y^2)(2x+2y\frac{dy}{dx})=25(2x-2y\frac{dy}{dx})$

The point of tangency is (-3,1). It means the slope of tangent is $\frac{dy}{dx}_{(-3,1)}$ .

Substitute x=-3 and y=1 in the above equation.

$4((-3)^2+(1)^2)(2(-3)+2(1)\frac{dy}{dx})=25(2(-3)-2(1)\frac{dy}{dx})$

$40(-6+2\frac{dy}{dx})=25(-6-2\frac{dy}{dx})$

$-240+80\frac{dy}{dx})=-150-50\frac{dy}{dx}$

$80\frac{dy}{dx}+50\frac{dy}{dx}=-150+240$

$130\frac{dy}{dx}=90$

Divide both sides by 130.

$\frac{dy}{dx}=\frac{9}{13}$

If a line passes through a points $(x_1,y_1)$ with slope m, then the point slope form of the line is

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

The slope of tangent line is $\frac{9}{13}$ and it passes through the point (-3,1). So, the equation of tangent is

$y-1=\frac{9}{13}(x-(-3))$

$y-1=\frac{9}{13}(x)+\frac{27}{13}$

Add 1 on both sides.

$y=\frac{9}{13}(x)+\frac{27}{13}+1$

$y=\frac{9}{13}(x)+\frac{40}{13}$

Therefore, $m=\frac{9}{13}$ and $b=\frac{40}{13}$ .

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3 years ago

4. Ms. Beltran buys songs from a music website. She buys 20 songs for $12.

Pachacha [2.7K]

Answer:$1.67

Step-by-step explanation:

Divide 20 and 12 to get 1.6666666 round the number and you get 1.67

3 0

3 years ago

11. Find the measure of each missing angle<br> & 13 please

GREYUIT [131]

Answer:

1. 35

2. 145

3. 55

4. 125

5. 55

13. x= 19

Step-by-step explanation:

6 0

3 years ago

Approximate the value of 5 pi​

Approximate the value of 5 pi