Five friends go to a fall festival and they each pay an entry fee of $10. The friends then each spend the same amount of money on lunch at the festival and don’t spend any other money. Altogether, the friends have spent $120.

Answer:

Step-by-step explanation:

for y

take 60 degree as reference angle

using sin rule

sin 60=opposite /hypotenuse

[tex]\sqrt{3}[/tex]/2=11

22[tex]\sqrt{3}[/tex]/

22=y

for x

take 60 degree as reference angle

using cos rule

cos 60=adjacent/hypotenuse

1/2=x/11[tex]\sqrt{3}[/tex]

2x=11[tex]\sqrt{3}[/tex]

x=11[tex]\sqrt{3}[/tex]/2

x=9.52

x=10

Answer:

B. 34

[tex]let \: sum \: of \: ages \: of\: 3 \: people \: be \: x \\ 42 = \frac{x}{3} \\ x = 126 \\ let \:age \: of \: fourth \: person \: be \: y \\ 40 = \frac{x + y}{4} \\ 160 = x + y \\ 160 = 126 + y \\ y = 34 \\ = 34 \: years[/tex]

Answer:

they are congruent

Step-by-step explanation:

Answer:

1 /3

Step-by-step explanation:

Bag 1 :

Yellow = 3 ; green = 2 ; red = 1

Total = 6

P(not yellow) = (2 +1) / 6 = 3/6 = 1/2

Bag 2 :

Yellow = 3 ; green = 3 ; red = 3

Total = 9

P(not yellow) = (2 +3) / 9 = 6/9 = 2/3

P(neither yellow from the two bags) = 1/2 * 2/3 = 2 /6 = 1/3

Answer:

1/5

Step-by-step explanation:

Answer:

The answer is 0.2

Hope this helps!

Brainliest??

Answer:

rate of change=5

Step-by-step explanation:

Hi there!

The rate of change (or the slope) is calculated from two points with the formula (y2-y1)/(x2-x1)

we are given two points: (1,-1), and (2,4)

let's label the points, to avoid confusion:

x1=1

y1=-1

x2=2

y2=4

now substitute into the formula:

*note: remember that we are subtracting the negative numbers. When it's simplified, we add the numbers.

rate of change=(4--1)/(2-1)

simplify:

rate of change=(4+1)/(2-1)

rate of change=5/1

rate of change=5

Hope this helps!

It's 346.19 (rounded up)

Step-by-step explanation:

it can be simplified to: 3.14×(10.5x10.5)

Then just work down

3.14×110.25

346.185

and then round up bc of the 5

346.19

4:3

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Answer:

Step-by-step explanation:

The interior angle measure of a regular polygon is calculated with 180*(n-2)/n, where n represents the number of sides.

A regular octagon has 10 sides so it interior angle = 180*(10-2)/10

= 144

A tessellation is a tile pattern with the same polygon repeating. The polygon's interior angles must combine to form 360 degree. A regular octagon has interior angle of 144 degree which does not add to 360 degree. So a regular octagon cannot be used as the only shape in a regular tessellation.

The answer is 144°, no.

Answer:

Step-by-step explanation:

oct means 10

(n-2)/n * 180

= (10-2)/10 * 180

= 144°

144 + 144 = 288 < 360

144 + 144 + 144 = 432 > 360

so a regular octagon can NOT be used as the only shape in a regular tessellation.

ans is A

Answer:

16 pi

Step-by-step explanation:

First find the area of the circle

A = pi r^2

A = pi (6)^2

A = 36 pi

Then find the fraction of the circle the sector is

A circle is 360 degrees

160/360 = 4/9

Multiply the area by the fraction

4/9 * 36 pi

16 pi

Answer:

C: 16π

Step-by-step explanation:

Area of a sector =

[tex] = \frac{angle }{360} \times \pi \: r {}^{2} [/tex]

Answer:

Jerry's data points have to sum to be 77.

Step-by-step explanation:

We are given that

Ben and Jerry both have total numbers in their data set=7

Average of Ben's data set=9

Average of Jerry's data set=9+2=11

We have to find the Sum of Jerry's data points.

We know that

Average of data=Sum of numbers/Total number of data points

Using the formula

Average of Jerry' data =Sum of numbers in data/7

11=Sum of numbers in data/7

Sum of numbers=[tex]11\times 7[/tex]

Sum of numbers=77

Hence, sum of Jerry' data points=77

Answer:

28.27

Step-by-step explanation:

Formula to find the total surface area is

2pi · r · h + 2pi r^2

the radius is 3cm

2pi · 3 · 10 + 2pi · 3^2

Answer:

[tex]y=6\sqrt{3}[/tex]

[tex]x=18[/tex]

Step-by-step explanation:

[tex]Sin30=\frac{9}{12\sqrt{3} }[/tex]

[tex]1/2=y/12\sqrt{3}[/tex]

[tex]y=6\sqrt{3}[/tex]

[tex]tan30=y/x[/tex]

[tex]x=y/tan30=x=\frac{6\sqrt{3} }{1/\sqrt{3} }[/tex]

[tex]x=18[/tex]

------------------------

hope it helps...

have a great day!

Answer:

814?

Step-by-step explanation:

Simple interest is I = PRT, so you can multiply the 550, by 1.08 by 6 to get the total.

The principal is 550, the rate is 0.08 (using 1.08 because the prior gives interest, and using a whole 1 with it will be the total), and the time is 6 years because the interest is simple annual.

use 0.08 instead of 1.08 when solving for interest.

First you do the 2x3=6 then after that you do 6/30=5

Answer:

Cost of Blanket = 32

Step-by-step explanation:

Let the cost of a blanket be = b , cost of a scarf be = s. Blanket price x Blanket Quantity & Scarf Price x Scarf Quantity sum up to be total sales.

So, Day 1 : 2b + 5s = 104 (i)  , Day 2 : 3b + 4s = 128 (ii)

Solving equations : Multiplying (i) by 3 , & (ii) by 2 , we get

6b  +  15s    =   312 ,

(-)6b + (-)8s =  (-)256

By elimination method, 15s - 8s = 312 - 256 → 7s = 56 → s = 56 / 7 = 8 .

Putting s value in any equation i], 2b + 5 (8) = 104 → 2b + 40 = 104 → 2b = 104 - 40 = 64 → b = 64 / 2 = 32

Answer:

C

Step-by-step explanation:

Plug in the numbers in each equation to see if it fits. C is the best option

Answer:

B

Step-by-step explanation:

It would be -100 because you would be withdrawing, not adding the amount, or staying with the same amount.

Answer:

B) -100

Step-by-step explanation:

Withdrawing means taking out, and subtracting is taking out a number, so the answer is B.

Answer:

I also want this question ans but u also

Answer:

36

Step-by-step explanation:

on the 4 [tex]\frac{1}{2}[/tex] in side you can fit 6 cubes

on the 1 [tex]\frac{1}{2}[/tex] in side you can fit 2 cubes

on the 2 [tex]\frac{1}{4}[/tex] in side you can fit 3 cubes

6 x 2 x 3 = 36

the answer is 36

Answer:

C.8

| -8 | = 8

Explanation:

To find the absolute value of something, just find the complete opposite of a number. For example 25's absolute value is -25.

Hope this helps :)

Answer: 28/53

Step-by-step explanation:

trust me bro

The ratio that represents the sine of ∠B is 15/17.

Trigonometric identities are the functions that include trigonometric functions such as sine, cosine, tangents, secant, and, cot.

Since the triangle has a right angle, we can find the length of the unknown side using the trigonometric notations SOH CAH TOA where;

Sin Ф = opposite side/hypotenuses side

Cosine Ф = adjacent side/hypotenuses side

Tangent Ф = opposite side/adjacent side

With respect to ∠B given that  ∠D=90°,

BD is the adjacent side and CB  is the hypotenuse side, DC is the opposite side

Hence ,Sin B = 15/17

Learn more about trigonometric;

https://brainly.com/question/21286835

#SPJ2

What are the following algebraic equations? You need to post those if you want the answer.

Answer:

O ion

Step-by-step explanation:

Well, when electrons are added or subtracted from an atom, there is a change and it becomes an ion.

Answer:

an atom is a small particle they can take part time n chemical reaction

Answer:

please provide an image so we know what to solve

Answer: Number of students tickets were sold = 120

Number of adults tickets were sold = 200

Step-by-step explanation:

Let x= Number of adults, y = Number of students

As per given,

x+y=320    ...(i)

4x+2.5y=1100 ...(ii)

Multiply 2.5 on both the sides of (i), we get

2.5x+2.5y=800   ...(iii)

Subtract (iii) from (ii), we get

1.5x=300

[tex]x=\frac{300}{1.5}\\x=200[/tex]

From (i) y= 320-200 = 120

Hence, Number of students tickets were sold = 120

Number of adults tickets were sold = 200

Answer:

Total number of students= 1,200

Step-by-step explanation:

Giving the following information:

Proportion of students= 10%

Number of students that travel by bus= 120

To calculate the number of students that attends school, we need to use the following formula:

Total number of students= Number of students that travel by bus / proportion of students

Total number of students= 120 / 0.1

Total number of students= 1,200

Complete data:

13.5 13.5 13.25 13.0 13.25 13.5 13.0 13.25 13.0 13.25 12.75 12.75 Part A How many dots should go above each data value in the line plot? Type a number in each box

Answer:

12.75 ___ 2 dots

13.0 ____ 3 dots

13.25 ___ 4 dots

13.5 ___ 3 dots

Step-by-step explanation:

Given the data :

13.5 13.5 13.25 13.0 13.25 13.5 13.0 13.25 13.0 13.25 12.75 12.75

To know the Number of dots for each data value, we obtain the frequency of each data value ;

Length of Rose____ Frequency

12.75 _________:__ 2

13.0 ____________ 3

13.25 ___________ 4

13.5 ____________ 3