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Sergeeva-Olga [200]
3 years ago
7

Given a circle with a radius of 2, which is the length of an arc measuring 75 Degrees?

Mathematics
1 answer:
Hoochie [10]3 years ago
6 0

Length of arc is equal to r * angle, where the angle is in radians. Seventy-five degrees in radians is equivalent to 75 * pi / 180 = 5pi/12.
 

Length of arc = r * angle = (2) * (5pi/12) = 5*pi/6 = 2.62 units.


I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!



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A total of 3 cards are chosen at random, without replacing them, from a standard deck of 52 playing cards. What is the probabili
svetoff [14.1K]

Answer:

1/5525 ≈ 0.018%

Step-by-step explanation:

There are 4 kings in a standard deck of 52 cards.

The probability that the first card is a king is 4/52.

The probability that the second card is also a king is 3/51 (the first king isn't replaced, so there's one less king and one less card in the deck).

The probability that the third card is a king is 2/50.

The probability of choosing 3 king cards is therefore:

P = (4/52) (3/51) (2/50)

P = (1/13) (1/17) (1/25)

P = 1/5525

P ≈ 0.018%

7 0
3 years ago
What is the distance across the lake?
vredina [299]

Given:

Height of right triangle = 9 mi

Hypotenuse = 17.5 mi

Base of right triangle = Distance across lake

To find:

The distance across the lake.

Solution:

Using Pythagoras theorem:

In right triangle, square of the hypotenuse is equal to the sum of the squares of the other two sides.

\Rightarrow 9^2+base^2=(17.5)^2

\Rightarrow 81+base^2=306.25

Subtract 81 from both sides.

\Rightarrow 81+base^2-81=306.25-81

\Rightarrow base^2=225.25

Taking square root on both sides.

⇒ base = 15

The distance across the lake 15 mi.

5 0
4 years ago
a fruit punch recipe requires 12 teaspoons of sugar for every 3 quarts of water. at this rate how much sugar is needed for 9 qua
Alborosie

36 teaspoons. since the number of quarts is multiplied by 3, multiply the number of teaspoons as well. 12 × 3 = 36

8 0
3 years ago
What is the general form of the equation for the given circle centered at O(0, 0)?
Vesna [10]

 

hello :<span>
<span>an equation of the circle Center at the O(a,b) and ridus : r is :
(x-a)² +(y-b)² = r²
in this exercice : a =0 and b = 0 (Center at the origin)
r = AO
r² = (AO)²
r² = (4-0)² +(5-0)² = 16+25=41
an equation of the circle that satisfies the stated conditions.
Center at the origin, passing through B(4, 5) is :  x² +y² = 41</span></span>

x² +y² - 41=0

8 0
3 years ago
Pls help ASAP i don’t have time!!!!!
Sladkaya [172]

Answer:

I got 8.96.

Step-by-step explanation:

if you divide 20.5 and 12.5 you get 1.64, then you divide 14.7 and 1.64 and get 8.96.

Hope this helps and good luck :)

7 0
3 years ago
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