Caitlin makes candles and sells them in her online shop. Tall candles cost $8 each and short candles cost $5 each. last month, she sold a total of 91 candles and made $572.

how many tall candles did she sell?

how many short candles did she sell?

Hello!

This is a problem about relating values of the Unit Circle.

First, we need to figure out the specific "points" of each angle measure of 30 and 60.

For the angle measure 30, the point will be [tex](\frac{\sqrt{3}}{2},\frac{1}{2})[/tex].

For the angle measure 60, the point will be [tex](\frac{1}{2},\frac{\sqrt{3}}{2})[/tex].

The tangent value of a point will be its [tex]y[/tex] value over its [tex]x[/tex] value.

[tex]\frac{\frac{1}{2}}{\frac{\sqrt{3}}{2}}=\frac{1}{2}*\frac{2}{\sqrt{3}}=\frac{1}{\sqrt{3}}=\frac{\sqrt{3}}{3}[/tex]

The cotangent value of a point will be the reciprocal of the tangent value, which we found previously.

[tex]\frac{3}{\sqrt{3}}=\frac{3\sqrt{3}}{3}=\sqrt{3}[/tex]

The sine value of a point will be the [tex]y[/tex] value of the point.

[tex]\frac{\sqrt{3}}{2}[/tex]

So the values we have so far are [tex]\frac{\sqrt{3}}{3}+\sqrt{3}+\frac{\sqrt{3}}{2}[/tex]

Now we have to find the LCD to add these together, which in this case would be 6.

[tex]\frac{2\sqrt{3}}{6}+\frac{6\sqrt{3}}{6}+\frac{3\sqrt{3}}{6}[/tex]

Which adds up to [tex]\frac{11\sqrt{3}}{6}[/tex], which is in simplest radical form.

Hope this helps!

Answer:

256

Step-by-step explanation:

Rule:*4

1*4=4

4*4=16

16*4=64

64*4=256

I hope this helps!

Answer:

60 percent

Step-by-step explanation:

number of ducks in morning=80

ducks in after noon=135

for percentage

80/135=0.5925=0.60

0.60*100=60 percent

Answer:

The perimeter of the triangle is 34 cm

Step-by-step explanation:

Here, we want to find the perimeter of the triangle

This is simply the sum of the side lengths

mathematically, the distance of two lines from a point touching the circle is the same

so, on the other sides, we have the missing sides as;

5cm, 4 cm and 8 cm

So the perimeter will be;

4cm + 5cm + 8 cm + 4 cm + 8 cm + 5 cm = 34 cm

Step-by-step explanation:

Here are the steps required for Solving Quadratics by Factoring:

Step 1: Write the equation in the correct form. To be in the correct form, you must remove all parentheses from each side of the equation by distributing, combine all like terms, and finally set the equation equal to zero with the terms written in descending order.

Step 2: Use a factoring strategies to factor the problem.

Step 3: Use the Zero Product Property and set each factor containing a variable equal to zero.

Step 4: Solve each factor that was set equal to zero by getting the x on one side and the answer on the other side.

Example 1 – Solve: x2 + 16 = 10x

Step 1: Write the equation in the correct form. In this case, we need to set the equation equal to zero with the terms written in descending order.

Step 1

Step 2: Use a factoring strategies to factor the problem.

Step 2

Step 3: Use the Zero Product Property and set each factor containing a variable equal to zero.

Step 3

Step 4: Solve each factor that was set equal to zero by getting the

Answer:

23

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

No, it is not.

Step-by-step explanation:

X has 2 3's. X's shouldn't repeat for it to be a function or else it will overlap.

Answer:

x^2+12x-13 = 0

Step-by-step explanation:

12x=13-x^2

=>12x+x^2=13-x^2+x^2

=>x^2+12x-13 = 13-13

=> x^2+12x-13 = 0

Answer:

x² + 12x - 13 = 0

Step-by-step explanation:

12x = 13 - x²

the standard form of an equation is written starting from the variable of the highest degree to the lowest. Hence after rearranging;

0 = 13 - x² - 12x

0 = -x² - 12x + 13

In an equation, the highest degree of a variable should preferably be postive hence the equation to the left side to remove the negative sign:

x² + 12x - 13 = 0

Answer:

answer is 92

Step-by-step explanation:

iReady Math Test Diagnostic

Answer: is the teacher mr.Burks? what school you go to if it is costa mesa high i know i had her and still have the notes!

i think it its nico and katie but just wait for someone else to answer

Step-by-step explanation:

s= p+3

(number of sports drinks= s)

(pizza slices= p)

Answer:

4.32

Step-by-step explanation:

gansnxiuzgenemxjxhsbe dnsjzuxghsbeb3ne

Answer:

I think it’s D.

Step-by-step explanation:

Answer:

The 3rd one

Step-by-step explanation:

E⁣⁣⁣xplanation i⁣⁣⁣s i⁣⁣⁣n a f⁣⁣⁣ile

bit.[tex]^{}[/tex]ly/3a8Nt8n

Answer:  I believe its c

Step-by-step explanation:

f(x) is (0,+inf)

Given:

Tom needs to plow 1.1 acres of land.

He can plow 5.5 acres in an hour.

To find:

The time taken by Tom to plow 1.1 acres of land.

Solution:

We have,

Time take by Tom to plow 5.5 acres = 1 hour

Time take by Tom to plow 1 acre = [tex]\dfrac{1}{5.5}[/tex] hour

Time take by Tom to plow 1.1 acres = [tex]\dfrac{1.1}{5.5}[/tex] hour

                                                           = [tex]0.2[/tex] hour

Therefore, the time taken by Tom to plow 1.1 acres of land is 0.2 hour.

Answer:

3

Step-by-step explanation:

(plz mark as branliest if correct)

Answer:

3

Step-by-step explanation:

P to S is 3 and the other side must be equal so its 3.

Answer and Step-by-step explanation:

1. We can see that this kite-shape has 4 triangles in it.

The area of a triangle is as follows:

[tex]A = \frac{bh}{2}[/tex]

Where:

b = Base (length)

h = Height

Top Right Triangle Area:

b = 9

h = 3

A = [tex]\frac{3 * 9}{2}[/tex]

A = [tex]\frac{27}{2}[/tex]

Bottom Right Triangle Area:

b = 9

h = 3

A = [tex]\frac{3 * 9}{2}[/tex]

A = [tex]\frac{27}{2}[/tex]

Top Left Triangle Area:

b = 4

h = 3

[tex]A = \frac{4*3}{2}[/tex]

A = [tex]\frac{12}{2}[/tex]

A = 6

Bottom Left Triangle Area:

b = 4

h = 3

[tex]A = \frac{4*3}{2}[/tex]

A = [tex]\frac{12}{2}[/tex]

A = 6

Now, we add all the areas together to get the area of the kite figure.

A = [tex]\frac{27}{2}[/tex] +

A = 27 + 12

A = 39

The area of the kite figure is 39 [tex]m^{2}[/tex].

2. We have to find the area of the trapezoid.

(I'm not sure if the 9 is for the entire bottom side length)

A = [tex]\frac{a + b}{2} h[/tex]

to find the area of the entire trapezoid.

A = [tex]\frac{2.4 + 9}{9}[/tex] × 8.2

A ≈ 46.74 [tex]mi^{2}[/tex]

#teamtrees #PAW (Plant And Water)

Answer:

56 pennies

Explanation:

You should find 20% of 70 to get 14 and subtract that from 70 to get your answer.

Answer:

56

Step-by-step explanation:

Answer:

These are equal!

Step-by-step explanation:

The lines mean a number is opposite. So -56 is equal to -56.

-56=-56

Hope this helps and have a nice day!

Answer:

$282.5

Step-by-step explanation:

First plug your numbers into the equation

49(5) + .3(125)

Multiply numbers

245 + 37.5

Add these numbers together to find your answer

The first statement in a formal proof is given.

Remember to always begin our proof with the given information, and complete our proof with what you set out to deliver. As long as you do that, utilize one reason at a time, and only utilize definitions, postulates, and different theorems for your reasons, your proofs will float like a mountain stream.

The most familiar form of explicit proof in high school geometry exists as a two-column proof that consists of five parts: the given, the proposition, the statement column, the reason column, and the diagram (if one exists given).

Therefore, the correct answer is option b) Given.

To learn more about formal proof

https://brainly.com/question/20501619

#SPJ2

Multiply the width by the height:

6 2/3 x 2 4/5 = 18 2/3 square feet.

Now divide the volume by that number:

210 / 18 2/3 = 11 1/4

The length of the tank is 11 1/4 feet

Answer: not sure

Step-by-step explanation:

yep.