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3 years ago

Plz Help Convert to radians 80° Show your work please

Mathematics

2 answers:

Sav [38]3 years ago

3 0

Answer:

1.39626

Step-by-step explanation:

80° × π/180 = 1.396rad

inn [45]3 years ago

3 0

Answer:

4π/9, 0.44444π, or 1.3962634 radians

Step-by-step explanation:

To convert from degrees, to radians, multiply the the degrees times pi over 180 degrees

$\textdegree *\frac{\pi }{180\textdegree}$

We want to convert 80 degrees to radians.

$80 \textdegree *\frac{\pi}{180 \textdegree}$

The degrees signs cancel.

$80 *\frac{\pi}{180}$

$\frac {80}{1} *\frac{\pi}{180}$

Move 80 to the numerator.

$\frac{80 \pi}{180}$

Simplify 80/180. Both the numerator and denominator can be divided by 20.

$\frac{(80/20) \pi}{180/20}$

$\frac{4 \pi}{9} \approx 0.444444\pi \approx 1.3962634$

80 degrees is equal to 4π/9 radians, 0.44444π radians, or 1.3962634 radians.

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Mr peterson will buy 80 feet of fencing. The pieces of fence come in whole numbers of feet. His enclosure will be a rectangle an

DIA [1.3K]

The perimeter is:
P = 2x + 2y = 80
The area is:
A = x * y
The area as a function of a variable is:
A (x) = x * (40-x)
Rewriting we have:
A (x) = 40x-x ^ 2
We derive the function:
A '(x) = 40-2x
We equal zero and clear x:
40-2x = 0
2x = 40
x = 40/2
x = 20 feet
The other dimension is:
y = 40 - x
y = 40 - 20
y = 20 feet
The area will be:
A = x * y
A = 20 * 20
A = 400 feet ^ 2
Answer:
The dimensions are:
x = 20 feet
y = 20 feet
The area is:
A = 400 feet ^ 2

5 0

3 years ago

Can someone help me? It's Algebra I. If you answer this can you explain how you did it?

Aloiza [94]

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3 0

2 years ago

The mean one-way commute to work in Chowchilla is 7 minutes. The standard deviation is 2.4 minutes, and the population is normal

adell [148]

Answer:

The answer is below

Step-by-step explanation:

Given that:

The mean (μ) one-way commute to work in Chowchilla is 7 minutes. The standard deviation (σ) is 2.4 minutes.

The z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:

$z=\frac{x-\mu}{\sigma}$

a) For x < 2:

$z=\frac{x-\mu}{\sigma}=\frac{2-7}{2.4} =-2.08$

From normal distribution table, P(x < 2) = P(z < -2.08) = 0.0188 = 1.88%

b) For x = 2:

$z=\frac{x-\mu}{\sigma}=\frac{2-7}{2.4} =-2.08$

For x = 11:

$z=\frac{x-\mu}{\sigma}=\frac{11-7}{2.4} =1.67$

From normal distribution table, P(2 < x < 11) = P(-2.08 < z < 1.67 ) = P(z < 1.67) - P(z < -2.08) = 0.9525 - 0.0188 = 0.9337

c) For x = 11:

$z=\frac{x-\mu}{\sigma}=\frac{11-7}{2.4} =1.67$

From normal distribution table, P(x < 11) = P(z < 1.67) = 0.9525

d) For x = 2:

$z=\frac{x-\mu}{\sigma}=\frac{2-7}{2.4} =-2.08$

For x = 5:

$z=\frac{x-\mu}{\sigma}=\frac{5-7}{2.4} =-0.83$

From normal distribution table, P(2 < x < 5) = P(-2.08 < z < -0.83 ) = P(z < -0.83) - P(z < -2.08) = 0.2033- 0.0188 = 0.1845

e) For x = 5:

$z=\frac{x-\mu}{\sigma}=\frac{5-7}{2.4} =-0.83$

From normal distribution table, P(x < 5) = P(z < -0.83) = 0.2033

8 0

3 years ago

Simplify: ly - 2x - 3y + 4x

vitfil [10]

2x-2y
I couldn’t tell if the first figure was a one or a L or i so I solved it as a 1

3 0

2 years ago

Read 2 more answers

Solve - 2x - 7 > X+ 8. O A. x<-3 O B. x<-5 O C. x>-5 O D. x>-3

Rzqust [24]

Answer:

x < -5

Step-by-step explanation:

- 2x - 7 > x+ 8

Add 2x to each side

- 2x+2x - 7 > x+2x+ 8

-7 > 3x+8

Subtract 8 from each side

-7-8 > 3x+8-8

-15 > 3x

Divide by 3

-15/3 > 3x/3

-5 >x

x < -5

6 0

2 years ago