All categories

3 years ago

A circle has a circumference of 12. It has an arc of length 8/5. what is the central angle of the arc, in degrees?

Mathematics

2 answers:

earnstyle [38]3 years ago

6 0

360⁰......12

x.............8/5=1.6

Thus:

x=1.6×360/12=1.6×30=48⁰

Answer: x=48⁰

77julia77 [94]3 years ago

5 0

Answer: The central angle of the arc is 48 degrees.

Step-by-step explanation: The question has provided the first clue, which is the circumference of the circle, given as 12 units. Also the length of an arc along the same circumference has been given as 8/5 units. The circumference of a circle is calculated as

Circumference = 2Pi x radius

Also the length of an arc is calculated as

Length of an arc = (X/360) x 2Pi x radius (where ‘X’ is the angle subtended by the arc).

Having known the answer to 2Pi x radius which is 12, and the length of the arc which is 8/5, we can now express the length of an arc as

Length of an arc = (X/360) x 2Pi x radius

8/5 = (X/360) x 12

By cross multiplication we now have

(8 x 360)/ (5 x 12) = X

2880/60 = X

48 = X

Therefore the central angle of the arc is 48 degrees.

You might be interested in

Ayden and his children went into a grocery store and where they sell peaches for $0.75 each and mangos for $1.75 each. Ayden has

Zepler [3.9K]

Answer:

he can buy 10 peaches.

Step-by-step explanation:

7 mangoes will be 12.25. so you subtract his original money(20) from 12.25 which gives you 7.75. then divide 7.75 by 0.75(cost of a peach) and your answer will be 10(rounded off).

8 0

2 years ago

Suppose you spin the pointer on this spinner. (circle with 4 outcomes from 1 to 4). What is the probability the pointer does not

sveticcg [70]

The probability of getting 1,2,or 4 is .75 or 75%

8 0

3 years ago

A cylindrical cup is 10 centimeters in height. When filled to the very top, it holds 500 cubic centimeters of water. What is the

Vladimir [108]

Answer:

Step-by-step explanation:

the formula for radius is

$r=\sqrt{\frac{v}{\pi h } }$

so. 500 divided by pi times 10. then square root your final answer. cool. let's get started.

3.14*10 is 31.4, you can do that without thinking.

500/31.4=15.92

$\sqrt{}$ 15.92= 3.99, or just 4

the radius is four.

6 0

3 years ago

If you plot the absorbance measurements of solutions vs. their concentrations, what is the slope equal to:_______

Sauron [17]

Answer:

Molar absorptivity coefficient

Step-by-step explanation:

Normally, from beer's law and molar extinction coefficients, the absorbance of a solution will vary with respect to the concentration or the change in the size of the container. Now, Molar absorptivity takes care of this change/variation by dividing by both the concentration and the length or measurement of the solution that the light passes through.

Since the molar absorptivity divides both the absorbance measurements and the corresponding concentrations, we can say it is the slope of the graph because the slope will be equal to the division of corresponding values of both parameters of absorbance and concentrations.

5 0

2 years ago

PLEASE HELP ASAP!!! CORRECT ANSWERS ONLY PLEASE!!!

Kipish [7]

Answer: -4

<u>Step-by-step explanation:</u>

Average rate of change is the slope (m) between the two coordinates (-2, 25) and (2, 9).

$m=\dfrac{y_2-y_1}{x_2-x_1}$