All categories

3 years ago

Find the length of the arc. Use 3.14 for the value of 7. Round your answer to the nearest tent

Mathematics

2 answers:

nexus9112 [7]3 years ago

4 0

Answer:

15.70

Step-by-step explanation:

2×3.14×10(90÷360)=15.70

Salsk061 [2.6K]3 years ago

4 0

<h2>Answer</h2>

The length of the arc is 15,7 km

<h2>Explain</h2>

Form :

$=2 \times \pi \times {r} \times \frac{ \alpha \degree}{360 \degree} \\$

Solve :

$= 2 \times \pi \times r \times \frac{ \alpha \degree}{360 \degree} \\$

$= 2 \times 3.14 \times 10 \times \frac{90}{360} \\$

$= 2 \times 31.4 \times 1 \times \frac{ \cancel{90}}{ \cancel{360}} \\$

$= \cancel2 \times 31.4 \times \frac{1}{ \cancel4} \\$

$= 31.4 \times \frac{1}{2} \\$

$= \frac{31.4}{2} \\$

$= 15.7 \: km$

#LearnWithBrainly

You might be interested in

PLEASE HELP WITH THIS ONE QUESTION

Nana76 [90]

Answer:

I'm not sure about the factors, but it's reflected over the x axis if they helps narrow it down

3 0

3 years ago

Differentiating a Logarithmic Function in Exercise, find the derivative of the function. See Examples 1, 2, 3, and 4.

wlad13 [49]

Answer:

$\frac{dy}{dx}=\frac{x(1-2lnx)}{x^{4}}$

Step-by-step explanation:

To solve the question we refresh our knowledge of the quotient rule.

For a function f(x) express as a ratio of another functions u(x) and v(x) i.e

$f(x)=\frac{u(x)}{v(x)}\\$ , the derivative is express as

$\frac{df(x)}{dx}=\frac{v(x)\frac{du(x)}{dx}-u(x)\frac{dv(x)}{dx}}{v(x)^{2} }$

from $y=lnx/x^{2}$

we assign u(x)=lnx and v(x)=x^2

and the derivatives

$\frac{du(x)}{dx}=\frac{1}{x}\\\frac{dv(x)}{dx}=2x\\$ .

Note the expression used in determining the derivative of the logarithm function.it was obtain from the general expression of logarithm derivative i.e $y=lnx\\\frac{dy}{dx}=\frac{1}{x}$

If we substitute values into the quotient expression we arrive at

$\frac{dy}{dx}=\frac{(x^{2}*\frac{1}{x})-(2x*lnx)}{x^{4}}\\\frac{dy}{dx}=\frac{x-2xlnx}{x^{4}}\\\frac{dy}{dx}=\frac{x(1-2lnx)}{x^{4}}$

8 0

3 years ago

PLEASE HELP WILL GIVE BRAINLIEST!

ra1l [238]

Answer:

Step-by-step explanation:

6 0

2 years ago

How many different 6-digit numbers can be formed by arranging the digits in 332345?

Feliz [49]

Answer- 120

Solution-

There are digits to be arranged,they are {3,3,2,3,4,5}. And from those ,3 digits are repeated .

so the total number of distinct number that can be formed = $\frac{6!}{3!}$ = $\frac{720}{6}$ = 120 (ans)

7 0

3 years ago

SOLVE ALL THESE EQUATION BY USING THE METHOD SUBSTITUTION ALGEBRAICALLY HERE'S ARE ALL THE EQUATION:

pav-90 [236]

Answer:

See below ~

Step-by-step explanation:

Question 1

-7x - y = -1
y = 8x + 16

⇒ -7x - (8x + 16) = -1

⇒ -7x - 8x - 16 = -1

⇒ -15x = 15

⇒ x = -1

⇒ y = 8(-1) + 16 = 8

⇒ Solution = (-1, 8)

Question 2

3x + 4y = 0
y = -3x - 18

⇒ 3x + 4(-3x - 18) = 0

⇒ 3x - 12x - 72 = 0

⇒ -9x = 72

⇒ x = -8

⇒ y = -3(-8) - 18 = 6

⇒ Solution = (-8, 6)

Question 3 (not clear)

Question 4

-8x - 7y = 0
y = 6x

⇒ -8x - 7(6x) = 0

⇒ -8x - 42x = 0

⇒ -50x = 0

⇒ x = 0

⇒ y = 6(0) = 0

⇒ Solution = (0, 0)

Question 8

2x - 6y = -14
y = -5x - 19

⇒ 2x - 6(-5x - 19) = -14

⇒ 2x + 30x + 114 = -14

⇒ 32x = -128

⇒ x = -4

⇒ y = -5(-4) - 19 = 1

⇒ Solution = (-4, 1)

3 0

2 years ago