The seventh-grade class is selling boxes of votive candles as a fundraiser. The first box purchased costs $14.00 , and each additional box costs $10.00 .

a. Is the relationship between the number of additional boxes of candles purchased and the total money spent linear?

Yes

Question 2

Explain your answer.

The angle measure of minor arc KM is 41 degrees

From the given diagram, we have the following parameters

mKLM = 82 degrees

Required

arcKM

Since the angle at the vertex is twice that of the intercepted arc, then:

<KLM = 2(arcKM)
arcKM = <KLM/2

arcKM = 82/2

arcKM = 41 degrees

Hence the angle measure of minor arc KM is 41 degrees

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Answer:

Looks like A

Step-by-step explanation:

Answer:

103

Step-by-step explanation:

To find the nearest liter look at the 4th digit in the actual number, 103.468. Since the value of 4 is less than 5 you'll round down to 0 making the nearest liter 103.

Answer: 5/8m-3/8

Step-by-step explanation:

Answer:

X = 2.8

Step-by-step explanation:

5x+2=16

5x=16-2

5x=14

x=14÷5

x=2.8

Hope that helps!

Answer:

A represents -2.5.......

Answer:

-2.5

Step-by-step explanation:

<------3, -2.5, -2, -1.5, -1, -0.5, 0, 0.5, 1, 1.5, 2, 2.5, 3 ---->

When it's negative on the number line the value of a number gets smaller. When it's positive the value gets bigger.

I hope this helps!

Answer:

The density is 0.2g/mL^2.

Step-by-step explanation:

Answer:

Supplementary angles add up to = 180. Whatever the value of x is must add up with one of these answer choices to = 180 degrees. I am not provided this information, so this is all I got.

Step-by-step explanation:

Base on tangent and secant rule for intersection,

The length of WZ is 12.

The angle of the arc XZ is 39 degrees.

The tangent to a circle is defined as a straight line that touches the circle at a single point.

Therefore,

WX × WY = WZ²

8 × (10 + 8) = WZ²

8 × 18 = WZ²

WZ² = 144

WZ = √144

WZ = 12

74° = 1 / 2(187 - arc XZ)

74 = 93.5 - arcXZ / 2

-19.5  = - arcXZ / 2

-39 = - arcXZ

-arcXZ = 39°

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Answer:

x + 3y = 15

Step-by-step explanation:

Line is passing through the points [tex](3, \:4) = (x_1,\:y_1)\:and\: (9, 2)=(x_2,\:y_2)[/tex]

Slope of line (m)= (2 - 4)/(9 - 3) = -2/6 = -1/3

Equation of line in point-slope form is given as:

[tex]y-y_1 =m(x-x_1)[/tex]

Plugging the values of [tex]x_1,\: y_1\: and \: m[/tex] in the above equation we find:

[tex]y-4 =-\frac{1}{3}(x-3)[/tex]

[tex]\implies 3y-12 =-x+3[/tex]

[tex]\implies x+ 3y =12+3[/tex]

[tex]\implies \huge {\orange{\boxed{x+ 3y = 15}}}[/tex]

This is the required equation of line in the form [tex]\red{\bold{ax + by = c}} [/tex]

Answer:

12

Step-by-step explanation:

these are 2 similar triangles, as due to the construction we have 3 corresponding pairs of equal angles (the 47° angle is a given as equal, then due to the rules of crossing lines the inner angles as S must be equal as opposite angles, and that automatically makes the third angles equal, as the sum of all angles in a triangle must be always 180°).

in similar triangles the length ratio of corresponding sides is the same for all corresponding sides and lengths in these triangles.

so, we can use the sides opposite of the 47° angles to find that ratio :

21/9 = 7/3

and now also the sides 28 and x must have the same ratio :

28/x = 7/3

4/x = 1/3

12/x = 1

x = 12

Answer:

first would be a translation of (2,-3) second one is another 90 degree rotation counter clockwise.

Answer:

$55,200

Step-by-step explanation:

Area of yard = length * breadth

So,

Area = 50*46 = 2300 sq. feet

Again,

Cost per sq. feet = $24

So, For 2300 sq. feet,

Total cost = $24*2300 = $55,200

Hope it helped!

Answer:

3/17=.18

Step-by-step explanation:

There is a .18 or 3/17 chance that a car leaving will be black.

12 in all:

{2, 4, 36, 6, 8, 10, 12, 16, 18, 20, 24, 30}

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Solve as requested in the question, round each number:

The sum is:

Answer:

8000

Step-by-step explanation:

⇒ 3008 + 5243 ≈ 3000 + 5000

⇒ 3000 + 5000 = 8000

Answer:

physical contact needed

Step-by-step explanation:

need to see you

The area of the circle whose circumference is equal to the perimeter of the square is 38.47 squared units.

Circumference of the circle is the length of its boundary. It can given as,

[tex]P=2\pi r[/tex]

The area of the circle is the space occupied by it. It can be given as,

[tex]A=\pi r^2[/tex]

Here (r) is the radius of the circle.

A square has a side that measures 5. 5 units. The perimeter of the square is the equal to the 4 times of its side. Thus its perimeter is,

[tex]P=4\times5.5\\P=22\rm\; units[/tex]

The circumference of the circle is equal to the perimeter of the square. Thus the radius (r) of circle is,

[tex]P=2\pi r\\22=2\times\pi r\\r\approx3.5\rm\; units[/tex]

The area of this circle is,

[tex]A=\pi r^2\\A=3.14\times (3.5)^2\\A=38.465\\A\approx 38.47\rm\; units^2[/tex]

Hence the area of the circle whose circumference is equal to the perimeter of the square is 38.47 squared units.

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Answer:

Step-by-step explanation:

2⁵ = 2*2*2*2*2

     = 32

Answer:

105.504

Step-by-step explanation:

3 gallons => 54 miles

so

1 gallon => 54 : 3 = 18 miles

then

8 gallons => 18x 8= 144 miles

The rectangular point that represents (4, - pi/3) is the one in option b: (2, -2√3).

For a point (x, y), the polar coordinates are:

Then we must have:

R = 4 =  √(x^2 + y^2)

Notice that for all the given points we have the radius equal to 4, so the only part that we care is the angle one:

-pi/3 = Atan(y/x)

tan(-pi/3) = y/x = -1.73

So, y and x must have different signs, and because the angle is negative, we will say that the y-component must be negative.

So the correct option will be b: (2, -2√3)

y/x = -2*√3/2 = √3 = -1.73

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Answer: Quiz answer Unit 4 lesson 6

all answers are right

Step-by-step explanation:

1.) Given the polar coordinates (4,-pi3)which of the following rectangular coordinate pairs represents the same point?

Answer is B: (2,-2sqrt3)

2.) Given the rectangular coordinates (-5 5) which of the following polar coordinate pairs in, radians, represent the same points?

the correct option is D. (5√2,3π4)

3.)Rewrite in rectangular form: r=8 sin theta -2 cos theta.

Answer:

The equation in rectangular form is:

4.)Rewrite in polar form: x^2+y^2-6y-8=0

the  Answer is B. r^2=6r sin 0+8

5.)The graph of r=-9 cos theta has which of the following characteristics?

Answer:

"circle; diameter of 9; center at (-4.5,0)"

6.)Which conic section is represented by the polar equation r=1/4-6 cos theta?

Answer:

Option 2 - Hyperbola

7.)Identify the horizontal and vertical intercepts of the limaçon represented by the equation r=7+3 cos theta ?

Answer:

vertical intercepts: (7, pi/2) and (-7, pi/2)

horizontal intercepts: (10,0) and (-4,0)

8.) Classify the limaçon represented by the equation r=1/2-1/2 sin theta.

A. Cardioid

9.)Write the equation for the graph of the rose curve.

answer C: r=9 sin 4 theta

10.) Write the equation for the graph of the lemniscate.

answer D: r^2=-49 sin 2theta

(pls don't report for me not explain it took a lot of time typing this and im just trying to help people have less stress on their shoulders :p )

The amount of fabric needed to cover 8 blocks is 192cm.

In order to determine the amount of fabric needed, the total surface area of the rectangular prism has to be determined. The total surface area of the rectangular prism is the sum of the areas its faces.

Total surface area of a rectangular prism = 2 (lw + wh + lh)

where:

2 x [(4 x 1/2) + (1/2 x 2) + (4 x2)] = 24cm

Fabric needed fo 8 blocks = 24 x 8 = 192cm

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Answer:

The amount of fabric needed to cover 8 blocks is 192cm.

How much fabric is needed to cover 8 blocks?

In order to determine the amount of fabric needed, the total surface area of the rectangular prism has to be determined. The total surface area of the rectangular prism is the sum of the areas its faces.

Total surface area of a rectangular prism = 2 (lw + wh + lh)

where:

l = length

w = width

h = height

2 x [(4 x 1/2) + (1/2 x 2) + (4 x2)] = 24cm

Fabric needed fo 8 blocks = 24 x 8 = 192cm

Step-by-step explanation:

If Rick was to sell $120,000 worth of cars, he would make approximately $14,400. Hope this helps - Have an amazing rest of your day :)

Hey there!

2a = 11.4

DIVIDE 2 to BOTH SIDES

2a/2 = 11.4/2

CANCEL out: 2/2 because it give you 1

KEEP: 11.4/2 because it give you the value of a-value

NEW EQUATION: a = 11.4/2

SIMPLIFY IT!

a = 5.7

Therefore, your answer is: a = 5.7

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

Nine more than two-fifths of a number is nine.

Step-by-step explanation:

we know that the total will be 9, and that 2/5x is equivalent to 2/5 of a number (so it should be 2/5n) and we are adding 9 more.

(Assuming all these lines are parallel to each other)

Angle x = 70, because it is corresponding to the 70 angle.

Angle y = 70, because it is corresponding to x

Angle z = 70, because angle z and angle y are alternate angles

(corresponding angles and alternate angles are equal to each other with the condition of parallel lines)

Answer:

60

Step-by-step explanation:

By the triangle midsegment theorem, 2(SU)=RV.

2(w-30)=w, meaning w=60.

So, RV=60 as well