NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. One hundred tickets, numbered 1, 2, 3, . . . , 100, are sold to 100 different people for a drawing. Four different prizes are awarded, including a grand prize (a trip to Tahiti). How many ways are there to award the prizes if it satisfies the given conditions. The person holding ticket 47 wins one of the prizes.

Step-by-step explanation:

We need to find the area of the shaded region. We see that the region next to that has a central angle of 120°. Also we know that angle in a straight line is 180° . So the measure of central angle of that shaded region will be 180° - 120° = 60° . Now we can use the formula of area of sector to find out the area of the shaded region.

[tex]\tt\to Area = \dfrac{\Theta}{360^o}\times \pi r^2 \\\\\tt\to Area = \dfrac{60^o}{360^o}\times \pi (8cm)^2 \\\\\tt\to Area =\dfrac{\pi \times 64}{6}cm^2\\\\\to\boxed{\orange{\tt Area_{(Shaded)}= 10.66\pi cm^2}}[/tex]

Answer:

go make me a sandwhich you witch

Step-by-step explanation:

Answer:

Use the formula.

((x1+x2)/2 , (y1+y2)/2)

(2+4)/2 , (3 + 5)/2

3 , 4

Answer:

(3, 4)

Step-by-step explanation:

(2,3) and (4,5)

midpt formula:

[tex](\frac{x1+x2}{2} ,\frac{y1+y2}{2} )\\\\(\frac{2+4}{2} ,\frac{3+5}{2} )\\\\(\frac{6}{2} ,\frac{8}{2} )\\\\(3,4)[/tex]

Answer:  Jenny was faster by 116.17

Step-by-step explanation: Jenny: 809.03 meters a minute

Johnny: 692.86 meters a minute

Answer:

0.0556

Step-by-step explanation:

P(Blue,Yellow) = 1/6 x 2/6 = 1/18 = 0.0556

Answer:

y=0x+6

Step-by-step explanation:

slope intercept form is: y=mx+b

Answer:

3,528.57142857

Step-by-step explanation:

Answer:

[tex]3528\frac{4}{7}[/tex]

Step-by-step explanation:

13 × 95 ÷ 0.35

1235 ÷ 0.35

[tex]3528\frac{4}{7}[/tex]

Answer:

11.53 degrees.

Step-by-step explanation:

ok so we know the hyp and opp sides. this means that it is sin. according to SOHCAHTOA we do sin^-1(2/10). you should get 11.53

Answer:

11.5396°

Step-by-step explanation:

Please see the attached image

We can do sin(x)=2/10, which simplifies to sin(x)=1/5

To get x by itself do [tex]x=sin^{-1}[/tex](1/5) which ≈11.5396°

Answer:

$22.05

Step-by-step explanation:

If a product has a sales commission, then one must divide the commission percent by (100) to convert the percent to a decimal. Then multiply the result by the price of the product to find the amount of money that will be given as a commission.

Applying this knowledge to the given problem, one must divide (9%) by (100) to convert to decimal form,

9% / 100 = 0.09

Now multiply the result by the price of the product (245) to find the amount given away in commission,

0.09 * 245 = 22.05

Answer:

4775.22

Step-by-step explanation:

V= πr2h

Input your numbers into the equation, and it will give you this answer.

Answer:

k = -5

Step-by-step explanation:

f(9) = 2/3*9 +k

f(9) = 6+k

k = -5

Answer:

23.14 m²

Step-by-step explanation:

square = 3 x 3 = 9 m²

the 4 semi-circles are equal to 2 complete circles, so:

radius = 3/2 = 1.5

semi-circles = (2)(3.14)(1.5²) = 14.14 m²

9 + 14.14 = 23.14 m²

Answer: 8000?

Step-by-step explanation:

If your asking the area of his land, 800 yards

Total of 180 I guess? What are you trying to askkk?

Answer:

1.2

I t is the answer

YEAH OFC SHAWTY!

I cant do 2 right now, but i will in a minute

And for 3 his mistake is that they arent the same bases so he cant add the powers, he should have converted them to the same base first.

Answer:

Marika's calculation is correct

Step-by-step explanation:

Lori has erroneously identified a common ratio of the geometion sequence

one has to divide subsequent term by the preceding term as was correctly by Marika. so Marika's calculation is correct.

hope it helps...

have a great day !!!

Answer:

b) 9.99 + 1.29n ≤ 50

Step-by-step explanation:

  I think,  this question is incomplete., may be there is typo. To complete the question, it's suppose to be like this  

a)9.99 + 1.29n ≥ 50

b)9.99 + 1.29n ≤ 50

c)9.99 − 1.29n  ≤ 50

d)9.99 − 1.29 n ≥ 50

well,  we have to figure out  the information given  

price of the album: $9.99

each song cost : $1.29

gift card: $50

number of songs : n

The answer  is b) 9.99 + 1.29n  ≤ 50 , because the sum of the price of the album ($9.99) and the songs ($1.29 n) must be less or equal to the value of the gift card ($50). Fore sure it 's correct.....

Answer:

[tex]64(in)^{3} [/tex]

Step-by-step explanation:

The volume of a box is equal to the length l times the width w times the height h.

[tex](lenght) \times (width) \times (height)[/tex]

Substitute the values of the length l=8, the width w=2, and the height h=4 into the formula.

[tex]8 \times 2 \times 4[/tex]

Multiply 8 by 2.

[tex]16 \times 4[/tex]

Multiply 16 by 4.

[tex]64 {in}^{3} [/tex]

Hence, the volume of the rectangle prism is 64(in)³.

Answer:

Step-by-step explanation:

Given dimensions:

Volume of the prism is:

Answer:

296

Step-by-step explanation:

Answer:

plz rate 5star accept my efforts

+ thanks :)

9514 1404 393

Answer:

  (d)  x-4

Step-by-step explanation:

If we assume your answer choices are ...

  (a) 5 -x = 5 -4 = 1

  (b) 1/2x = 1/2(4) = 2

  (c) x +1 = 4 +1 = 5

  (d) x -4 = 4 -4 = 0

Then the last choice (d) x -4 has the smallest value at x=4.

Answer:

6 hours.

Step-by-step explanation:

To find how many hours it would take to drive a 240 mile distance at a constant speed of 40 miles per hour, you'd divide 240 by 40 and the result of that is 6.

Answer:

6 hours

Explanation:

240/40= 6

Step-by-step explanation:

Step-by-step explanation:

Given the table:

Month              f(x) = Number of imports    g(x) = Number of exports

January (1)                3                                                1

February (2)             4                                                3

March (3)                  5                                                5

April (4)                     6                                                7

From the table, it is clear that:

Number of imports = number of month + 2

so

also

Number of exports  = 2(number of month) + 1

so

Therefore, the number of imports equals the number of months plus one. i.e., which is a linear function.

If we compare it with the slope-intercept form of the line

Then,

slope = m = 1

y-intercept = 2

Also number of exports equals is also a linear function.

i.e.  

Here,

slope = m = 2

y-intercept = -1

If there is some point that is equal in both the function then it can be said that they are intersecting.

A function is a relation in which each values of x have the value of y.

The key features of the functions :

Functions are equal at that point at which they are intersecting.

Learn more about functions at https://brainly.com/question/4025726

#SPJ2

Answer:

18x

Step-by-step explanation:

2(3x+6x)

Answer:

[tex]\dfrac{17}{13}[/tex]

Step-by-step explanation:

Given that,

r(x) = 3x - 1 and s(x) =  2x + 1

We need to find an expression equivalent to [tex]\dfrac{r}{s}(6)[/tex].

We know that,

[tex]\dfrac{r}{s}(6)=\dfrac{r(6)}{s(6)}[/tex]

Put x = 6 in the above expression

[tex]=\dfrac{3(6)-1}{2(6)+1}\\\\=\dfrac{18-1}{12+1}\\\\=\dfrac{17}{13}[/tex]

So, the equivalent expression is equal to [tex]\dfrac{17}{13}[/tex].

Answer:

A

Step-by-step explanation:

sin: [tex]\frac{opposite}{hypotenuse}[/tex]

sin: [tex]\frac{CB}{AC}[/tex] = [tex]\frac{5}{11}[/tex]

For triangle ABC, sin(A) = 5/11

"If the angle measure less than 90° then it is an acute angle."

For a right triangle,

sin(theta) = opposite side/hypotenuse

where theta is an acute angle.

For given example,

we have been given a right triangle ΔABC

Since ∠B = 90°, ∠A and ∠C must be an acute angles.

⇒ sin(A) = BC/AC

⇒ sin(A) = 5/11

and sin (C) = AB/AC

⇒ sin(C) = (4√6)/11

Therefore, sin(A) = 5/11

Learn more about sine of angle here:

https://brainly.com/question/15141309

#SPJ2

r

sin

θ

=

−

3

Explanation:

Imagine we have a point  

P

with Rectangular (also called Cartesian) coordinates  

(

x

,

y

)

and Polar coordinates  

(

r

,

θ

)

.

The following diagram will help us visualise the situation better:

https://keisan.casio.com/exec/system/1223526375

https://keisan.casio.com/exec/system/1223526375

We can see that a right triangle is formed with sides  

x

,  

y

and  

r

, as well as an angle  

θ

.

We have to find the relation between the Cartesian and Polar coordinates, respectively.

By Pythagora's theorem, we get the result

r

2

=

x

2

+

y

2

The only properties we can say about  

θ

are its trigonometric functions:

sin

θ

=

y

/

r

⇒

y

=

r

sin

θ

cos

θ

=

x

/

r

⇒

x

=

r

cos

θ

So we have the following relations:

⎧

⎪

⎨

⎪

⎩

r

2

=

x

2

+

y

2

y

=

r

sin

θ

x

=

r

cos

θ

Now, we can see that saying  

y

=

−

3

in the Rectangular system is equivalent to say

r

sin

θ

=

−

3

Answer link

Jim G.

May 19, 2018

r

=

−

3

sin

θ

Explanation:

to convert from  

cartesian to polar

∙

x

x

=

r

cos

θ

and  

y

=

r

sin

θ

⇒

r

sin

θ

=

−

3

⇒

r

=

−

3

sin

θ