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BabaBlast [244]
3 years ago
15

On a circle of radius 7 feet, what angle would substend an arc of length 7 feet

Mathematics
1 answer:
rusak2 [61]3 years ago
7 0
Central angle (radians) = arc length / <span>radius  </span>
central angle (radians) = 1 radiancentral angle (radians) = 57.296 degrees
Source 1728.com/radians.htm

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Find the measure of an angle whose measure is 18 degrees less than one-half of the measure of its complement.Find the measure of
tekilochka [14]
<span>a = (90-a)/2 - 18 

this means that the angle equals half its complement minus 18 degrees. 

this means the same as the angle equals 18 degrees less than half its complement. 

solve for a. 

equation is: 

a = (90-a)/2 - 18 

simplify by removing parentheses to get: 

a = 90/2 - a/2 - 18 

simplify further to get: 

a = 45 - a/2 - 18 

combine like terms to get: 


a = 27 - a/2 

add a/2 to both sides to get: 

a + a/2 = 27 

multiply both sides of the equation by 2 to get: 

2a + a = 54 

combine like terms to get 

3a = 54 

divide both sides of the equation by 3 to get: 

a = 18 

your answer should be that the angle is equal to 18 degrees. 

if the angle is 18 degrees, then its complement is equal to 90 - 18 = 72 degrees. 

half its complement is equal to half of 72 is equal to 36 degrees 

18 degrees less than that is equal to 36 - 18 is equal to 18 degrees. 

Your answer is that the measure of the angle is 18 degrees.</span>
4 0
3 years ago
Consider a political discussion group consisting of 8 ​Democrats, 5 ​Republicans, and 5 Independents. Suppose that two group mem
Leya [2.2K]

Answer:

The probability of selecting two Independents is \frac{10}{153}.

Step-by-step explanation:

From the given information it is clear that:

​Democrats = 8

Republicans = 5

Independents = 5

Total number of member in the group is

8+5+5=18

We need to find the probability of selecting two Independents.

According to binomial distribution the total number of ways to select r items form n items is

^{n}C_r=\frac{n!}{r!(n-r)!}

Total number of ways to select 2 members from 18 members is

\text{Total possible outcomes}=^{18}C_2=\frac{18!}{2!(18-2)!}=153

Total number of ways to select 2 members from 5 Independents is

\text{Favorable outcomes}=^{5}C_2=\frac{5!}{2!(5-2)!}=10

The probability of selecting two Independents is

p=\frac{\text{Favorable outcomes}}{\text{Total possible outcomes}}

p=\frac{10}{153}

Therefore the probability of selecting two Independents is \frac{10}{153}.

7 0
3 years ago
When I solved this quadratic using the square root property, I am not sure if i did it correctly and I am not sure if there shou
Katarina [22]

Answer:

yup your answer is right

Step-by-step explanation:

two x solutions are <u>+</u>2√3

<u>+</u>2√3 can be written as +2√3 or -2√3

6 0
3 years ago
Read 2 more answers
An item sells for $40 . The sales tax on the item is 8%. What is the sales tax and total cost?
In-s [12.5K]

Answer:

The sales tax is $3.2 and the total cost is $43.2.

Step-by-step explanation:

Multiply 0.08 by $40 to find the sales tax  (8% is the same as 0.08)

Then add 3.2 (sales tax) to the regular price to find the total price.

5 0
3 years ago
I really need help! :)
kirill115 [55]
Answer: 153.86 ft. squared
6 0
3 years ago
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