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nalin [4]
3 years ago
13

For a circle with a diameter

Mathematics
1 answer:
meriva3 years ago
6 0

Answer:

The measurement of the angle subtended by an arc with a length of 5/2 pi meters is 149.542°

Step-by-step explanation:

Here, the diameter of the circle = 6 m

Diameter = 2 x RADIUS

So, radius  = D / 2  = 6 / 2  = 3 m

Also, the length of the arc = ( \frac{5}{2}  \pi) meters

Putting π  = 3.14, we get  

The length S of the arc = \frac{5}{2}  \times (3.14)  =  7.85  

or, S  = 7.85 m

Let us assume the arc subtends angle Ф at the center of the circle.

⇒  S  = r Ф

or, Ф = \frac{S}{r}   = \frac{7.85}{3}  =  2.61

⇒Ф  = 2.61 radians

Now, 1 Radian  = 57.2958 Degrees

⇒ 2. 62 Radian  = 2.61  x  ( 57.2958 Degrees)  =  149.542 °

or, Ф    =  149.542°

Hence, the measurement of the angle subtended by an arc with a length of 5/2 pi meters is 149.542°

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Help with matrice equations
Tasya [4]

Answer:

21) x=1, y=-1, z=2 and 23) x=3, y=-1, z=-1

Step-by-step explanation:

there are 3 equations in 21)

1) x+y-z=-2

2)2x-y+z=5

3)-x+2y+2z=1

solve for x by adding equation 2) and 1)

2)2x-y+z=5 +  1) x+y-z=-2   = 3x=3, then divide by 3 and x=1

solve for z by adding equation 1) and 3)

1) x+y-z=-2 + 3)-x+2y+2z=1

we then get a new equation, 4), by isolating z

3y+z=-1 which is 4) z=-1-3y

substitute our new equation, 4) z=-1-3y, and x=1 into equation 1) to get y

(1)+y- (-1-3y)=-2

isolate y to get y=-1

then substitute y=-1 into equation 4) to get z=2

check by substituting x=1, y=-1, and z=2 into all 3 equations

there are 3 equations

1)x+3y=0

2)x+y+z=1

3)3x-y-z=11

add equation 3) and 2) together to get x

3)3x-y-z=11 + 2)x+y+z=1

4x=12, x=3

substitute x=3 into equation 1) (3)+ 3y=0 to get y

3y=-3, y=-1

substitute x=3 and y=-1 into equation 2) to get z

(3)+(-1)+z=1,  z=-1

4 0
3 years ago
A sociologist develops a test to measure attitudes towards public transportation, and 27 randomly selected subjects are given th
taurus [48]

Answer:

The margin of error for the 95% confidence interval for the mean score of all such subjects is of 8.45.

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 27 - 1 = 26

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 26 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.95}{2} = 0.975. So we have T = 2.0518

The margin of error is:

M = T\frac{s}{\sqrt{n}}

In which s is the standard deviation of the sample and n is the size of the sample.

In this question:

n = 27, s = 21.4. So

M = 2.0518\frac{21.4}{\sqrt{27}}

M = 8.45

The margin of error for the 95% confidence interval for the mean score of all such subjects is of 8.45.

5 0
3 years ago
What is the correct factorization of<br> х2 + 5х – 6?
nordsb [41]

The answer to your question is (x+6)(x-1)

6 0
3 years ago
Read 2 more answers
Which inequality is true? Use the number line to help.
PolarNik [594]

Answer:

C) -1.5 < -0.5

3 0
3 years ago
Read 2 more answers
in a right triangle the length of a hypotenuse is c and the length of one leg is a, and the length of the other leg is b what is
puteri [66]

Answer:

5

Step-by-step explanation:

a=12 (height)

c=13 (hypotenous)

b=? (base)

By using Pythagoras theorm

We have, hypotenous sq=base sq+height sq

Let b =base SO, base sq=hypotenous Sq-height Sq

=>base Sq =13sq-12sq

Base Sq =169-144

Base Sq =25

Base =5 (shifting the sq)....

Hope it's helpful

5 0
3 years ago
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