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3 years ago

What is the length of an arc with a central angle of 54π radians and a radius of 34 cm?

1 answer:

4 0

The formula in solving the length of an arc is shown below:
Length of an Arc = 2pi*r (central angle/360°)
Central angle = 54pi * (180°/pi)
r = 34 cm

Solving for an arc length"
Arc length = 2*3.14*34((54*180)/360)
Arc length = 5,765.04 cm

The answer is 5,765.04 cm.

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(-19, -12), (-9, -15)

Jlenok [28]

Answer:

-28/-27 is the answer to find slope

5 0

2 years ago

Need to show my work

dalvyx [7]

Answer:

$\large\boxed{x=\dfrac{5}{4},\ y=\dfrac{15}{16}}$

Step-by-step explanation:

$\left\{\begin{array}{ccc}y=\dfrac{3}{4}x&(1)\\\dfrac{5}{2}x+2y=5&(2)\end{array}\right\\\\\text{Substitute}\ (1)\ \text{to}\ (2):\\\\\dfrac{5}{2}x+2\left(\dfrac{3}{4}x\right)=5\\\\\dfrac{5}{2}x+\dfrac{3}{2}x=5\\\\\dfrac{5+3}{2}x=5\\\\\dfrac{8}{2}x=5\\\\4x=5\qquad\text{divide both sides by 4}\\\\x=\dfrac{5}{4}$

$\text{Put the value of}\ x\ \text{to (1)}\\\\y=\dfrac{3}{4}\cdot\dfrac{5}{4}\\\\y=\dfrac{15}{16}$

4 0

3 years ago

Read 2 more answers

Is the following a function?

saw5 [17]

Answer:

yes

Step-by-step explanation:

For the relation to be a function, there must only be one corresponding value of y (range) for any value of x in the domain, that is a one-to- one relationship

This graph displays this feature and is a function.

5 0

3 years ago

Read 2 more answers

Please i need to know if im correct with these questions

telo118 [61]

Answer: No Solution

Step-by-step explanation:

ln x - ln (x + 2) = 4 restrictions: x > 0 and x + 2 > 0 → x > 0

ln $(\frac{x}{x + 2})$ = 4

$(\frac{x}{x + 2})$ = e⁴

x = e⁴ (x + 2)

x = 54.5982 (x + 2)

x = 54.5982x + 109.1964

- 53.5982x = 109.1964

x = $\frac{109.1964}{-53.5982}$

x = -2.0373

-2.0373 is not greater than 0 so is not valid

**************************************************************************

Answer: 2.1972

Step-by-step explanation:

eˣ = 9

ln eˣ = ln 9

x = ln 9

x ≈ 2.1972

**************************************************************************

Answer: $\frac{3}{2}$

Step-by-step explanation:

log₂ (3x - 4) = -1

3x - 4 = 2⁻¹

3x - 4 = $\frac{1}{2}$

+4 +4

3x = $4\frac{1}{2}$

3x = $\frac{9}{2}$

$\frac{3x}{3} = \frac{9}{2} * \frac{1}{3}$

x = $\frac{3}{2}$

**************************************************************************

Answer: 1.117519

Step-by-step explanation:

in the calculator, type in 1 ÷ 9.

Then hit the eˣ button.

e¹⁾⁹

= e°¹¹¹¹¹¹

= 1.117519

rounded to 6 decimal places: 1.117519

6 0

2 years ago

Write four decimals with the digit four in a different place in each ones, tenths , hundredths, and thousandths .Then write a st

crimeas [40]

4.1.....the 4 in the ones place is 10 times bigger then the 4 in the tenths place and 100 times bigger then the 4 in the hundredths place and 1000 times bigger then the 4 in the thousandths place

2.4..the 4 in the tenths place is 10 timed bigger then the 4 in the hundredths place and 100 times bigger then the 4 in the thousandths place

3.14...the 4 in the hundredths place is 10 times bigger then the 4 in the thousandths place

5.124...this 4 in the thousandths place is the smallest

8 0

3 years ago