if in a triangle ac= 15 and angle abc=60 degrees what is ab?

Given:

Arc length = 6.6 cm

Radius = 14 cm

To find:

The angle subtended by the arc at the center.

Solution:

The formula for arc length is:

[tex]s=2\pi r\dfrac{\theta}{360}[/tex]

Where, s is the arc length, r is the radius and [tex]\theta[/tex] is the central angle in degrees.

Putting [tex]s=6.6,\pi=\dfrac{22}{7},r=14[/tex],we get

[tex]6.6=2\times \dfrac{22}{7}\times 14\times \dfrac{\theta}{360}[/tex]

[tex]6.6=88\times \dfrac{\theta}{360}[/tex]

[tex]\dfrac{6.6}{88}\times 360=\theta[/tex]

[tex]27^\circ=\theta[/tex]

Therefore, the measure of the central angle is [tex]27^\circ[/tex].

Using it's concept, it is found that the experimental probability that the next hat requested from Rebecca's inventory will be a turban is of [tex]\frac{3}{7}[/tex].

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In an experimental probability, these number of outcomes are taken from previous trials.

In this problem, out of 14 items, 6 were turbans, hence:

[tex]p = \frac{6}{14} = \frac{3}{7}[/tex]

More can be learned about probabilities at https://brainly.com/question/14398287

Answer:

3/7 dont listen to the other one.

Step-by-step explanation:

Answer:

The complementary angle is 41 degrees

Step-by-step explanation:

A complementary angle is when two angles add up to 90

90 = 49 + x

90 - 49 = 49 - 49 + x

41 = x

Answer:

y - 20 = (-1/5)(x - 5)

Step-by-step explanation:

The slope of the given line is 5.  The slope of any line perpendicular to the given line is the negative reciprocal of the given slope:  

Slope of perpendicular line here is -1/5.

We use the point-slope formula as a framework here:

y - 20 = (-1/5)(x - 5)

Answer:

( -2, 12)

(-1, 9)

(0, 6)

(1 , 3)

(2, 0)

Step-by-step explanation:

Input the values into the equation

Answer:

Area = 42 in^2

Step-by-step explanation:

here's your solution

=> divide above picture in two parts

=> rectangle and traingle

=> area of rectangle = length* width

=> area of rectangle = (5*6)in.

=> area of rectangle = 30 in^2

=> now, area of traingle = 1/2*base *height

=> area of traingle = 1/2*4*6

=> area of traingle = 12 in^2

=> area of figure = 30 in^2 + 12 in^2

=> Area = 42 in^2

hope it helps

Answer:

42 in.²

Step-by-step explanation:

We need to find the area of the rectangle and then the triangle and then add them up. For the rectangle its 6 x 5 = 30 and for the triangle its 6 x 4 = 24/2 = 12 *we have to divide by 2 because we are finding the area of a triangle*. So we add 30 + 12 = 42 so your answer is 42 in.²

:DDD hope I was able to help

Answer:

3/8

Step-by-step explanation:

3/4 is equivalent to 6/8 to we can change the problem to

6/8 - 3/8 which equals 3/8

Answer:

The answer is 140

The yellow part which is shaded is 14x10 which equals 140

Answer:

B = (10, 9 )

Step-by-step explanation:

Using the midpoint formula

M = ( [tex]\frac{x_{1}+x_{2} }{2}[/tex], [tex]\frac{y_{1}+y_{2} }{2}[/tex] )

with (x₁, y₁ ) = A(- 2, 3) and (x₂, y₂ ) = B(x, y) , then equate to the x and y coordinates of the midpoint M(4, 6)

[tex]\frac{-2+x}{2}[/tex] = 4 ( multiply both sides by 2 )

- 2 + x = 8 ( add 2 to both sides )

x = 10

and

[tex]\frac{3+y}{2}[/tex] = 6 ( multiply both sides by 2 )

3 + y = 12 ( subtract 3 from both sides )

y = 9

Then B = (10, 9 )

Answer:

17 is what percent of 60? = 28.33.

what percent of 238 is 48 = 20.17

what percent of 365 is 40 = 10.96

Step-by-step explanation:

The answer: C/16 + (–7) + 22 + (–12)

Answer:

-5/3

Step-by-step explanation:

y2 - y1 / x2 - x1

-4 - 1 / 1 - (-2)

-5 / 3

-5/3

Answer:

To get 20 cups of purple paint, the table shows that we need 8 cups of blue paint and 12 cups of red paint. We can solve the problem using double (or triple) number lines.

Answer:

C, D, and E

Step-by-step explanation:

Answer: C, D and E are correct :D

Step-by-step explanation:

Answer: -4096

Step-by-step explanation:

Answer:

d po

Step-by-step explanation:

i hope its help

carry on learning

Answer:

70° angle because it's not an obtuse angle so it wouldn't be C, D, or E and 25° is to small so the answer is B

Answer:

70 degrees

Step-by-step explanation:

90 degrees is a right angle, which is just straight up, and has a. square symbol. So, we can use that to compare the answers. Anything over 90 degrees would have its angle tilt to the left. So, anything over 90, like the ones at 100 degrees are wrong. 20 would be really close to the bottom. So, its 70

Check Attached Photos. Sorry, it didn't let me submit it through text because of "inappropriate language," despite me not having any in my answer.

For the plant which manufactures bars of steel, the conclusions are as follows;

A.  The scatter graph is shown.

B.  The equation is y = 2.204 + 1.007x

C.  Null hypotheses (H₀); β = 0

     Alternative hypotheses (Hₐ); β ≠ 0

D.  P-value (0.0001) is less than the significance level (α = 0.05).

In null hypotheses, there is no relationship between the two phenomenons under the assumption or it is not associated with the group. And in alternative hypotheses, there is a relationship between the two chosen unknowns.

At a plant that manufactures bars of steel, a machine is used to cut the bars to specific lengths.

The machine has a dial that sets the length of the bars to be cut.

The dial is currently out of alignment and the plant manager is collecting data to assess the situation.

The following table shows 8 trials at different dial settings along with the actual output length of the bars that were cut.

All measurements are in millimeters.

Dail setting    Output length

     75                     78

     77                     79

     79                     82

     80                     83

     81                      85

     82                     83

     83                     86

     85                     88

A. The scatter plot is shown below.

Based on the scatter plot, a linear model seems appropriate to the model relationships between the dial setting of the machine and the output length of the steel bar.

The scatter plot shows the strong (r = 0.965), positive, linear association. There do not appear to be any outliners.

B.  From the data to construct a least-squares regression line to predict output length from dial setting. Then

y = (a + bx)

Let x be the dial setting machine and y be the output length of steel bars (in mm).

y = 2.204 + 1.007 x

C.  All conditions for inference are met. Indicate the hypotheses appropriate to test whether there is a linear relationship between output length and dial setting.

Let β be the true slope of the population regression line relating the dial setting of the machine (x) and the output length of the steel bars (y) at the manufacturing plant.

Null hypotheses (H₀) ; β = 0

Alternative hypotheses (Hₐ) ; β ≠ 0

Appropriate test = slope of regression line t-test.

D.  The test statistic for the appropriate test is t = 9.018 with 6 degrees of freedom (7 - 1)

The normal curve is shown;

Using calculator command t-CDF, with the alternative hypotheses as β≠0, then P-value = 0.0001.

In probability notation;

P(b≥0.017) = P(t≥9.018) = 0.00005

P-value = (2) × (0.00005) = 0.0001

P-value = 0.0001

Assume α = 0.05

Since our P-value (0.0001) is less than the significance level (α = 0.05), we do not convince statistical evidence that there is a linear relationship between output length and dial setting.

As the dial setting (x) increases, the output length of the steel bar (y) increases as well.

More about the null hypotheses and alternative hypotheses link is given below.

https://brainly.com/question/9504281

Answer:

Slope: 5

Step-by-step explanation:

Mark as brainllest

Answer:

x= 1 /5 y+ 4 /5

Step-by-step explanation:

Let's solve for x.

10x−2y=8

Step 1: Add 2y to both sides.

10x−2y+2y=8+2y

10x=2y+8

Step 2: Divide both sides by 10.

10x /10 = 2y+8 /10 x= 1 /5 y+ 4 /5

Answer:

108 inches

Step-by-step explanation:

6X6X3

Answer:

24 will be your answer.

Step-by-step explanation:

Answer:

3 One value?

Step-by-step explanation:

hope this helps and please mark me branlyest

Answer:

500

Step-by-step explanation:

Answer:

Step-by-step explanation:

hi

Answer:

x = 12.48

y = 13.22

Step-by-step explanation

Im not sure if its correct

10^2 + b^2 = 16^2

100 + b^2 = 256

b^2 = √156

b = 12.48

b= 12 ( If needed to round to the nearest whole number)

a^2 + 15^2 = 20^2

a^2 + 225 = 400

a^2 = √175

a = 13.22

a = 13 ( If needed to round to nearest whole number)