A family goes to a fundraiser for their local library. Each ticket is $12, and they give a single donation of $10
at the end of the evening. There are six members of the family, and they spend a total of $82. Which equatic
could represent this situation?

Answer:

SA = 527.52 cm²

Step-by-step explanation:

Cone SA = πr(r + √(h² + r²))

Find h

Step 1. Create a right triangle with the radius (attached image)

Step 2. Pythagorean Theorem

a² + b² = c²

7² + b² = 17²

b² = 289 - 49

b = √240

b or h = 4√15

Solve for SA

SA = πr(r + √(h² + r²))

SA = 3.14 · 7 · (7 + √(4√15² + 7²))

SA = 21.98(7 + √(240 + 49))

SA = 21.98 (7 + 17)

SA = 527.52 cm²

Hope this helps!

Answer:

7

Step-by-step explanation:

Hey there!

In order to answer this question you need to substitute the "y-value"

As you can see, y=8 and we need to put 8 where there is y

8-3+2 is what the equation will look like

Now we can simplify

8-3 is 5 and 5+2 is 7

So your answer is 7

hmmm taking a peek at the triangles inside the park, hmmm let's notice both triangles have all interior angles of 60°, meaning the triangles are equilateral both, so all sides are equal, since we know one side is 50 yards, well, all sides are 50 yards, so the top and bottom straight-lines are both 50 each.

looking at the left and right sides, hmmm those are just sectors of a circle, both have a radius of 50 yards and a central angle of 120°.

[tex]\textit{arc's length}\\\\ s=\cfrac{\theta \pi r}{180}~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=50\\ \theta =120 \end{cases}\qquad \implies s=\cfrac{(120)\pi (50)}{180}\implies s=\cfrac{100\pi }{3} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \stackrel{straight~lines}{2(50)}~~ + ~~\stackrel{circular~lines}{2\left( \cfrac{100\pi }{3} \right)}\implies 100+2\left( \cfrac{100(3.14) }{3} \right)~~\approx~~309~yards[/tex]

Answer:

x = 30

Step-by-step explanation:

[tex]\frac{x}{21} =\frac{20}{14}[/tex]

[tex]x=\frac{(21)(20)}{14}=\frac{420}{14} =30[/tex]

Hope this helps

Answer:

48.5 ft

Step-by-step explanation:

Answer:

327675

Step-by-step explanation:

the formula of the series is:

16

∑5*2^(n-1)

n=1

the formula for the sum of a geometric series is:

Sn=a(1-r^n)/(1-r)

plug in the values from above

n=16 a=5 and r=2 (values from the geometric function) so

Sn=5(1-2^16)/(1-2)

Sn=327675

Answer:

(0,0)

(1,3)

(2,6)

(3,9)

(-1,-3)

(-2,-6)

(-3,-9)

Step-by-step explanation:

The equation of the graph is y=3x

Answer:

X/4 = 2

X=8

8 divided by 4 is 2 and 4x2 is 8

Answer:

The answer is infinitely many.

Step-by-step explanation:

5x + 3(x − 1) = 10x − 2x − 3 is simplified to 0=0, which is infinitely many solutions.

Answer:

minor arc DE: (23/9)π

Major arc DGE:(49/9)π

Step-by-step explanation:

This is a simple problem.

First solve the circumference of the circle: 2π (4).

then use the length formula

L=(x*c)/360

and then plug in, so first we use 115 as x(which is degrees) to find de

so

L = (115* 2π (4))/360

and you will get (23/9)π

To get the major arc you have to get the outside angle, so 360-115, and you do the same thing but with 245 as x.

Hope this helps and im correct!

Answer:

Kiko was right.

Step-by-step explanation:

When a positive integer is multiplied by another positive integer, the product is positive. When a negative integer is multiplied by a positive integer, then the product is negative. The power should also be considered as well, since it can affect whether the integer is positive or negative depending on if it's even or odd.

Answer:

[tex]8 \div 4(3 - 1)[/tex]

let's follow BODMAS for solving this expression ~

the BODMAS rule states the order for solving a given question and the order lies in its full form which is as follows ~

B - brackets

O - of

D - division

M - multiplication

A - addition

S - subtraction

using the order , let's move to the expression given now ~

[tex]\dashrightarrow \: 8 \div 4(3 - 1) \\ \\ as \: the \: rule \: states \: , \: we \: will \: solve \: the \: brackets \: first \\ \\\dashrightarrow 8 \div 4(2) \\ \\ brackets \: again \\ \\ \dashrightarrow \: 8 \div 8 \\ \\ and \: finally \: divison \\ \\ \dashrightarrow \: 1[/tex]

hope helpful :D

The value of expression 8 divided by 4 (3-1) would be equal to 1

When 'a' is divided by 'b', then the result we get from the division is the part of 'a' that each one of 'b' items will get. Division can be interpreted as equally dividing the number that is being divided into total x parts, where x is the number of parts the given number is divided.

We need to find the expression of 8 divided by 4 (3-1)

A negative divided by a negative is positive, therefore,

8 / 4 (3-1)

8 / 4(2)

8/8 = 1

Therefore, The value of 8 divided by 4 (3-1) is; 1

Learn more about division here:

brainly.com/question/26411682

#SPJ2

Answer:

Area of polygon = 42.63 mm²

Step-by-step explanation:

Given:

To find the area of the polygon (rectangle), multiply the length with the width.

⇒ Area of polygon = LW

Substitute the values into the area:

⇒ Area of polygon = (8.7)(4.9)                                [L = 8.7 mm; W = 4.9 mm]

⇒ Area of polygon = 42.63 mm²

As it's a rectangle

Area:-

Step-by-step explanation:

Angles in a quadrilateral add to 360 degrees. So, x = 360-88-142-106=24 degrees

Answer:

James will need to buy 3 boxes of crackers for the party.

Step-by-step explanation:

remember: 16oz=1 pound

If James needs 3 pounds of crackers, and each box is 20oz, that means each box is a little over 1 pound. (1.25 pounds to be exact). So, we know that he needs to buy 3 boxes of crackers. This is because 20×3=60 ounces which is 3.75 pounds. Meaning, 3 boxes is the correct answer since we can't cut a box in half.

Answer:

[tex]\frac{11\pi }{6}[/tex]

Step-by-step explanation:

To convert an angle from degrees to radians, you need to multiply the degrees by [tex]\frac{\pi }{180}[/tex].

[tex]\frac{330}{1}[/tex] × [tex]\frac{\pi }{180}[/tex] = [tex]\frac{330\pi }{180}[/tex]

[tex]\frac{330\pi }{180}=\frac{11\pi }{6}[/tex]

Answer:

OPTION B

Step-by-step explanation:

1 cm=0.75 m

I hope it helped you

The polynomial that is written in standard form out of the given options is given by: Option 2: x^4 + 4x^3 + 10x

Suppose the considered polynomial is of only one variable.

Then, the standard form of that polynomial is the one in which the terms with higher exponents are written on left side to those which have lower exponents.

Terms are added or subtracted to make a polynomial. They're composed of variables and constants all in multiplication.

Example:

[tex]x^3 + 3x +5[/tex]

is a polynomial consisting 3 terms as [tex]x^3, 3x \: \rm and \: 5[/tex]

Cheking all the options for them being in standard form or not:

Second term has 4 as exponent, but on its left, the first term has 2 as exponent. So higher expoent holding term is not on left. Thus, this polynomial is not in standard form.

4 > 3 > 1 (comparing the exponents), and the terms holding them are also in this order (left to right).

Thus, this polynomial is in standard form.

Not in standard form because the last term has bigger power then the term on its left.

Not in standard form because the last term has bigger power then the term on its left.

Thus, the polynomial that is written in standard form out of the given options is given by: Option 2: x^4 + 4x^3 + 10x

Learn more about standard form of a polynomial here:

https://brainly.com/question/15313798

Answer:

1st option

Step-by-step explanation:

A verical line parallel to the y- axis has equation

x = c ( c is the value of the x- coordinates the line passes through )

thus the x- coordinates are the same

Answer:

The 7th term is 896

Step-by-step explanation:

= ar^n-1

a = 14

r = 28/14

= 2

n = 7

= 14 X 2 ^ 7-1

= 14 X 2 ^ 6

= 14 X 64

= 896

Answer:

No.

Step-by-step explanation:

No, because the 9th decitile is equal to the 90th decitile, and so that means that you're tall.

Answer:

cube root of 9. the third option

Step-by-step explanation:

x^3 = 9

we take the cube root of both sides.

so x = cube root of 9

Answer:

x | -7      -5     -3  

y | -21    -15    -9

Step-by-step explanation:

y = 3x

If x = -7  then y = 3 × (-7) = -21

  x = -5  then y = 3 × (-5) = -15

  x = -3  then y = 3 × (-3) = -9

Solve it through arithmetic sequence

Rule is

So

Answer:

[tex]14 \\ 11 \\ 8[/tex]

Answer:

b

Step-by-step explanation: