This is multiplying an even number of negatives together so the answer will always be positive
Answer:
Step-by-step explanation:
<h3><u>Given data:</u></h3>
Theta = θ = 35°
Radius = r = 10 ft.
<h3><u>Required:</u></h3>
Arc length = ?
<h3><u>Formula:</u></h3>
<h3><u>Solution:</u></h3>
Put the givens in the above formula
![\displaystyle Arc \ length = 2 (3.14)(10)(\frac{35}{360} )\\\\Arc \ length = 2(3.14)(10)(0.097)\\\\Arc \ length = 6.11 \ ft.\\\\\rule[225]{225}{2}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20Arc%20%5C%20length%20%3D%202%20%283.14%29%2810%29%28%5Cfrac%7B35%7D%7B360%7D%20%29%5C%5C%5C%5CArc%20%5C%20length%20%3D%202%283.14%29%2810%29%280.097%29%5C%5C%5C%5CArc%20%5C%20length%20%3D%206.11%20%5C%20ft.%5C%5C%5C%5C%5Crule%5B225%5D%7B225%7D%7B2%7D)
Answer:
Answer: 64/3π -16/3)in²
Step-by-step explanation:
Area of segment equals area of sector minus area of isosceles triangle.
=0/360 x πr² -1/2r²sin (0)
Given; the length of chord, d=8√3in.
and the angle of the sector, 0=120
We can use the formula for calculating the length of a chord to find the radius of the circle.
D = 2r sin (0/2)
8√3= 2r (√3/2)
r=8in
Area of the segment= 120/360 x π x 8² - ½ x 8² sin (120)
= (64/3 π- 16 √3)in²
81 a² - 25 
is a difference of two squares and its factors are (9a + 5z³) and (9a - 5z³)
Step-by-step explanation:
The difference of two squares is a binomial of two terms each term is a square and the sign between the two terms is (-), its factorization is the product of two identical binomials with different middle signs
- a² - b² is a difference of two squares
- a² - b² = (a + b)(a - b)
∵ The binomial is 81 a² - 25
∵ 
= 9
∵ 
= a
∴ 
∵ 
= 5
∵ 
= z³
∴ 
- The two terms have square root
∵ The sign between them is (-)
∴ 81 a² - 25 is a difference of two squares
∵ Its factorization is two identical brackets with different
middle signs
∵ 81 a² = 9a × 9a
∵ 25 = 5z³ × 5z³
- The terms of the two brackets are 9a and 5z³
∴ 81 a² - 25 = (9a + 5z³)(9a - 5z³)
81 a² - 25 is a difference of two squares and its factors are (9a + 5z³) and (9a - 5z³)
Learn more:
You can learn more about the difference of two squares in brainly.com/question/1414397
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C = 5 + 2r
You can go on 5 rides.
First, create the expression for the cost.
c = ?
Since the price of admission is $5, that becomes a term in the expression, so the new expression is:
c = 5 + ?
And since you need to pay for each ride (r) that also becomes a factor in the expression. Giving you:
c = 5 + 2r + ?
There isn't anything else that costs you money, so you can get rid of the placeholder of + ? giving you a final expression of
c = 5 + 2r
Now you need to figure out how many rides you can go on for $16. Lets figure it out.
You first have to subtract the price of admission. So you get
16 - 5 = 11
So after being admitted, you now have $11 in which to pay for rides. Since each ride costs $2, simply divide 11 by 2.
11 / 2 = 5.5
Since you really can't go on half a ride, that means you can go on 5 rides after being admitted to the park.
