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sineoko [7]
3 years ago
11

What is the arc length if θ = 2 pi over 3 and the radius is 4 cm?

Mathematics
2 answers:
kompoz [17]3 years ago
6 0

my answer is in the image above

lyudmila [28]3 years ago
3 0

Answer:

8 pi/3

Step-by-step explanation:

The arc length is equal to the radius times the angle ( given in radians)

s = r theta

s = 4 *(2 pi /3)

s = 8 pi/3

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Solve: 6(y-5) = 2(10 + 3y)
topjm [15]

Answer:

no solution

Step-by-step explanation:

simplifying

6(y + -5) = 2(10 + 3y)

reorder the terms:

6(-5 + y) = 2(10 + 3y)

(-5 * 6 + y * 6) = 2(10 + 3y)

(-30 + 6y) = 2(10 + 3y)

-30 + 6y = (10 * 2 + 3y * 2)

-30 + 6y = (20 + 6y)

add '-6y' to each side of the equation.

-30 + 6y + -6y = 20 + 6y + -6y

combine like terms: 6y + -6y = 0

-30 + 0 = 20 + 6y + -6y

-30 = 20 + 6y + -6y

combine like terms: 6y + -6y = 0

-30 = 20 + 0

-30 = 20

solving for:

-30 = 20

the left and right sides are not equal, so there isn't any solution!

4 0
2 years ago
Read 2 more answers
Each year on the same day, Susan deposits $175 into a saving account that earns simple interest at a rate of 3.5%. She makes no
igomit [66]
The amount after time t will be given by simple interest formula given by:
A=prt/100
where:
principle,p=$175
rate, r=3.5%
time, t=5 years
thus the rate earned after 5 years will be:
A=(175*3.5/100*5)
A=$30.625
Answer: B] 30.65

3 0
3 years ago
What are the solutions of ×^2=8-5×?
yaroslaw [1]

Answer:

x=8 & x=3

Step-by-step explanation:

We want to get the (x)s all on one side.

add 5x to each side

{x}^{2}  + 5x = 8

Since x^2 is x•x and 5x is 5•x then we can change the formula to

x(x+5)=8

then seperate that

x=8

x+5=8

subtract 5 from each side

x=3.

The solutions are 8 and 3.

7 0
3 years ago
Jeremy wants to buy a new computer, the sales woman says he can make down payments and then pay for the computer in installments
Llana [10]
X=t-yz   and we are asked to solve for y so, subtract t from both sides

x-t=-yz  divide both sides by -z

(x-t)/(-z)=y

y=(x-t)/(-z)  multiply the numerator and denominator by -1

y=(t-x)/z
7 0
3 years ago
Triangle P=27,Q=40,P=33 law of sines round measures to the nearest tenth
nordsb [41]
For the law of sines, you would apply it in this particular problem like so:
Since P is 27, its angle is 33 and Q's length is 40; you would set it up like this
<u />40/SinQ = 27/Sin33, multiply 40 with Sin33, then it would be 40Sin33, then divide it by 27. The result should be 40Sin33/27 = X

5 0
2 years ago
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