I need help with #3. Please help. I have to show all work so please explain

Question:

If the measure of arc CB is [tex]\frac{8}{3} \pi[/tex] units, what is the measure of ∠CAB?

Answer:

120°

Step-by-step explanation:

The figure has been attached to this response.

The figure shows a circle centered at A and has a radius of 4 units.

Also, the length of the arc CB (as given in the question) is  [tex]\frac{8}{3} \pi[/tex] units.

The length L of an arc is given by;

L = [tex]\frac{\beta }{360} * 2\pi * r[/tex]         -----------------(i)

Where;

β = angle subtended by the arc at the center of the circle and measured in degrees

r = radius of the circle

From the question;

β = ∠CAB

r = 4 units

L =  [tex]\frac{8}{3} \pi[/tex]

Substitute these values into equation (i) as follows;

[tex]\frac{8}{3} \pi[/tex] = [tex]\frac{\beta }{360} * 2\pi * 4[/tex]

=>  [tex]\frac{8}{3} \pi[/tex] = [tex]\frac{\beta }{360} * 8\pi[/tex]

Cancel 8[tex]\pi[/tex] on both sides    

[tex]\frac{1}{3}[/tex] = [tex]\frac{\beta }{360}[/tex]

Cross multiply

3 x β = 360 x 1

3β = 360

Divide both sides by 3

[tex]\frac{3\beta }{3} = \frac{360}{3}[/tex]

β = 120°

Therefore, the measure of ∠CAB is 120°

Answer:

-28 1/3

Step-by-step explanation:

-8 1/3= -25/3

3 2/5= 17/5

-25/3*17/5= -28 1/3

Answer:

5,120

Step-by-step explanation:

an = 5.(-2)^(n-1)

a11 = 5.(-2)^(11-1)

= 5.(-2)^10

= 5.(1,024)

= 5,120

Answer:

the first one goes by 4n-1

the Second sequence goes by 3n + 13

Step-by-step explanation:

using the formula an=a1+d(n-1)

Answer: 2 1/4

Step-by-step explanation:

Step-by-step explanation:

Well it would be 8.75 ×7 which is 61.25m

Answer:

i think it is 46

Step-by-step explanation:

Answer:

2.9lbs

Step-by-step explanation:

there are 14oz in a pound so 14/16 is 0.875. Rounded up to .9lbs.

Answer:

C.

Step-by-step explanation:

[tex]\frac{2}{3}[/tex] is between 0 and 1

Only 1 point is between 0 and 1

C.

Answer:

R = (3P-30)/8

Step-by-step explanation:

subtract 30 from each side to get:

P-30 = [tex]\frac{8}{3}[/tex]R

multiply each side by [tex]\frac{3}{8}[/tex] to get:

[tex]\frac{3}{8}[/tex] · P - 30 = R

R = (3P-30)/8

Answer:

35

Step-by-step explanation:

the whole line is 49 and line DB is 30.

minus 16 from 30 so 30-16=14

then you minus line CB from EB so 49-14=35

that makes line EC 35

Answer:

2/5

Step-by-step explanation:

ok

Answer:

one solution I think is the answer

Answer:

The total area is 300 ft^2

Step-by-step explanation:

First find  the area of the rectangle

A = l*w = 24*10 = 240

Then find the area of the triangle on the top

A = 1/2 bh

The base is 24 and the height is 15-10 = 5

A = 1/2 (24)*5 = 60

Add them together

240+60 = 300

The total area is 300 ft^2

Answer:

Total area of figure is 300 ft ²

Step-by-step explanation:

Finding the area of rectangle

We know that

Where,

Substitute the values into the formula

Area = 10 ft × 24 ft

multiply ✖ , we get

Area of rectangle = 240 ft ²

Similarly, Finding the area of triangle

We know

Where,

Substitute the values

Area of triangle = 1 /2 × 24 ft × 5 ft

multiply

Area of triangle = 1/2 × 120 ft ².

divide , we get

Area of triangle = 60 ft ².

And Finally, Finding the total area

Total area of figure = Area of rectangle + Area of triangle

Total Area = 240 ft ² + 60 ft ²

➛ Total area of figure = 300 ft ²

Answer:

a. 0.0535 = 5.35% probability that it will not be discovered

b. 0.9465 = 94.65% probability that it will be discovered

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

a. If it has an emergency locator, what is the probability that it will not be discovered?

Event A: Has an emergency locator.

Event B: Not discovered.

Probability of having an emergency locator:

67% of 76%(discovered).

100 - 88 = 12% of 100 - 76 = 24%(not discovered). So

[tex]P(A) = 0.67*0.76 + 0.12*0.24 = 0.538[/tex]

Probability of having an emergency locator and not being discovered:

12% of 24%. So

[tex]P(A \cap B) = 0.12*0.24[/tex]

Desired probability:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.12*0.24}{0.538} = 0.0535[/tex]

0.0535 = 5.35% probability that it will not be discovered.

b. If it does not have an emergency locator, what is the probability that it will be discovered?

Event A: Has an emergency locator.

Event B: Discovered.

Probability of having an emergency locator:

67% of 76%(discovered).

100 - 88 = 12% of 100 - 76 = 24%(not discovered). So

[tex]P(A) = 0.67*0.76 + 0.12*0.24 = 0.538[/tex]

Probability of having an emergency locator not being discovered:

67% of 76%. So

[tex]P(A \cap B) = 0.67*0.76[/tex]

Desired probability:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.67*0.76}{0.538} = 0.9465[/tex]

0.9465 = 94.65% probability that it will be discovered

Answer: Undefined

Step-by-step explanation:

Replace x with -5

Answer:

6√2 miles

Step-by-step explanation:

Using the solution diagram drawn :

We have a right angled triangle, the distance between Walmart mad chick-FIL is a measure of the hypotenus of the right angled triangle ;

The hypotenus, = √(opposite² + adjacent²)

Hypotenus = √6² + 6²

Hypotenus = √(36 + 36)

Hypotenus = √72

Hypotenus = √36 * 2 = √36 * √2 = 6√2 miles

Answer:

im not sure about this one but my answer is 0.025.

Step-by-step explanation:

if there is a 1 out of 8 chance of getting a free burger,  convert that into 1/8. divide that by 5 and you get 0.025.

Answer:

Es un 37.5% probable que el ganador viva en la Ciudad de Guaymas.

Step-by-step explanation:

Dado que una cadena de gasolineras realizará un sorteo, para lo cual entrega un boleto a cada uno de sus clientes, y en la ciudad de Nogales se repartieron 5/40 del total de los boletos, en ciudad Obregón 1/4, en Hermosillo 4/16 y en la Ciudad de Guaymas 3/8, para determinar en qué ciudad es más probable que viva el ganador se deben realizar los siguientes cálculos:

Nogales = 5/40 = 1/8 = 0.125

Obregón = 1/4 = 0.25

Hermosillo = 1/4 = 0.25

Guaymas = 3/8 = 0.375

Por lo tanto, es un 37.5% probable que el ganador viva en la Ciudad de Guaymas.

Según las proporciones,  hay que es más probable que el ganador viva en Guaymas.

Por la proporción mas alta, es más probable que el ganador viva en Guaymas.

Un problema similar es dado en https://brainly.com/question/24615636

Answer:

45

Step-by-step explanation:

This is the outlier because it is much larger than all of the other numbers in the set.

Answer:

B

Step-by-step explanation:

To find the area of a parallelogram you do A=(b)(h) so 20x8=160. It's 160ft^2 because area is measured in square units.

Step-by-step explanation:

y=x may be

may it helped u ....

Answer:

D. 268.1 m³

Step-by-step explanation:

Volume =  4/3 * 3.14 * 4³

Volume = 4/3 * 201

Volume = 268 ≈ 268.1

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

r=1/2πhA

Step-by-step explanation:

..................

Therefore, the formula of [tex]r[/tex] is [tex]2A(\pi h)^{-1}[/tex].

What is the equation?

The definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.

Here given equation is

[tex]A=\frac{1}{2}\pi rh[/tex]

So,

[tex]A=\frac{1}{2}\pi rh\\\\r=2A(\frac{1}{\pi h})\\\\r=2A(\pi h)^{-1}[/tex]

Hence, the formula of [tex]r[/tex] is [tex]2A(\pi h)^{-1}[/tex].

To know more about the equation

https://brainly.com/question/12788590

#SPJ2

Answer:

≈ 5.5 minutes.

Step-by-step explanation:

Let m = number of minutes on the trampoline.

[tex]1.45m+7.25=15.23\\1.45m=7.98\\m=5.5[/tex]

She was on the trampoline for approximately 5.5 minutes.

Answer:

= 5.5 minutes

Step-by-step explanation:

1.45  + 7.25  = 15. 23

1. 45 = 15. 23 - 7. 25

1. 45 = 7 . 98

m = 5.5

Hope this answer helps you :)

Have a great day

Mark brainliest

Answer:

13/24

Step-by-step explanation:

1/24 + 4/8

first make denominator equal

1/24 + 4*3/8*3

1/24 + 12/24 = 13/24

then check if it can be further simplified

13/24

It cannot so you're done!

Hope this helps!

Answer:

13/24

Step-by-step explanation:

reduce the frcation with 4

1/24 + 1/2

write all numerators above the least common denominator 24

1+12/24

Calcuate 1+12/ 24

which = 13/24

Answer:9

Step-by-step explanation:

No step

Answer:

the answer for this is 1

Step-by-step explanation:

cause ten times of 1 is 1.

Please don't confuse yourself with

1 times of 10.that one is 10

ten times of 1, means 1×1×1×1×1×1×1×1×1×1 it is still 1.

the second one is 10 ×1 =10.

Answer:

x = 3.3

Step-by-step explanation:

Reference angle = 51°

Hypotenuse = x

Adjacent = 5.3

Apply trigonometric function CAH, which is:

Cos 51° = Adj/Hyp

Cos 51° = 5.3/x

x*Cos 51° = 5.3

x = 5.3/Cos 51°

x = 3.3 (nearest tenth)

Answer: The area of the screen at AT&T Stadium = 17150 square foot.

Step-by-step explanation:

When two shapes are similar then,

[tex]\dfrac{(\text{Side of first shape})^2}{(\text{Side of second shape})^2}=\dfrac{\text{area of first shape}}{\text{area of second shape}}[/tex]

As per given , we have

[tex]\dfrac{(175)^2}{(40)^2}=\dfrac{\text{Area of AT}\ \&\text{T Stadium }}{896}\\\\\Rightarrow\ \text{Area of AT}\ \&\text{T Stadium }=\dfrac{30625}{1600}\times896\\\\\Rightarrow\ \text{Area of AT}\ \&\text{T Stadium }=17150[/tex]

Hence, the area of the screen at AT&T Stadium = 17150 square foot.