Tom makes jewelry boxes containing drawers of equal size. The number of drawers in three different jewelry boxes and the corresponding total volumes of the drawers are shown in the table below. Write an equation for the relationship between the number of drawers in the jewelry box, X, and the total volume of the drawers in the jewelry box, V. Use your equation to determine the number of drawers in a jewelry box with a total volume of 12 cubic inches. Show your work.

Answer:

Yes, by the angle angle rule.

Step-by-step explanation:

In the first triangle,

m<C=60 degrees, and m< D=53 degrees. You know that the sum of angles in a triangle add up to 180 degrees, so solve for E. m<E= 67 degrees.

In the second triangle,

m<F=60 degrees and m<H=67 degrees.

Since both triangle have two congruent angles, you can say that the two triangles are similiar by the AA rule.

Both triangle CDE and triangle FGH are similar to each other.

Two figures are said to be similar if they have the same shape and the ratio of their corresponding sides are in the same proportion. All the corresponding angles of similar figures are congruent.

∠C + ∠D + ∠E = 180° (angles in a triangle)

60 + 53 + ∠E = 180

∠E = 67°

∠C = ∠F, ∠D = ∠G, ∠E = ∠H, hence both triangles are similar.

Find out more on Similar figures at: https://brainly.com/question/2644832

Answer:

Step-by-step explanation:

Distributive property: a*(b + c)= (a*b) + (a*c)

[tex]\frac{1}{4}(4x - 6) = 4x*\frac{1}{4} - 6*\frac{1}{4}\\\\[/tex]

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

Answer:

X′ (−3, −4)

Step-by-step explanation:

Just took the test :)

9514 1404 393

Answer:

  C  21

Step-by-step explanation:

You can approach this any of several ways. The following conditions must be true:

  adjacent angles total 180°

  opposite angles are congruent

Using the latter relation on the upper right and lower left angles, we have ...

  4x -1 = 3x +20

  x = 21 . . . . . . . . . . add 1-3x to both sides

Answer:

225 square units

Step-by-step explanation:

since they are similar, all sides of JKLM are 15 units so:

15x15=225

9514 1404 393

Answer:

 cos B = (√5)/5

  csc B = (√5)/2

  tan A = 1/2

Step-by-step explanation:

The length of hypotenuse AB is given by the Pythagorean theorem:

  AB² = AC² +BC²

  AB² = 8² +4² = 64 +16 = 80

  AB = √80 = 4√5

The mnemonic SOH CAH TOA can help you remember the needed ratios.

  Cos = Adjacent/Hypotenuse

  cos B = BC/AB = 4/(4√5)

  cos B = (√5)/5

__

  Sin = Opposite/Hypotenuse

  csc = 1/sin = Hypotenuse/Opposite

  csc B = AB/AC = (4√5)/8

  csc B = (√5)/2

__

  Tan = Opposite/Adjacent

  tan A = BC/AC = 4/8

  tan A = 1/2

Answer:

tan A = 1/2  

cos B = √5/5

csc B = √5/2

Step-by-step explanation: I took the test

Answer:

[tex]\frac{5}{4}[/tex]

Step-by-step explanation:

to find the slope (m) of a line:

[tex]m= \frac{y_2 - y_1}{x_2 - x_1}[/tex]

where y₁ = 3

y₂ = 8

x₁ = 2

x₂ = 6

plug into the equation:

[tex]m = \frac{8 - 3}{6 - 2} \\m = \frac{5}{4}[/tex]

so the slope is [tex]\frac{5}{4}[/tex]

Answer:

use mathwa.y it will help

Step-by-step explanation:

Answer:

-27 if im reading the question right.

Step-by-step explanation

Answer:

get all the varibles on one side

Step-by-step explanation:

mark me as brainliest plz thx

Answer:

If he left the car in the lot for 2 hours, he would have to pay 14 dollars. if he left it for "t" hours, he would have to pay 11 + 3t dollars

Step-by-step explanation:

Think of it like this: "a" represents the total amount of money Easton will spend, t represents time in hours. $11 + $3*t = a

Answer:

Step-by-step explanation:

Count all writing utensils which is 16, then jus count the number of pencils

Answer:

5:16 because she has 5 pencils and a total of 16 writing utensils

Step-by-step explanation:

Answer:

si un punto esta sobre el eje x cual es su valor de cordenada

Step-by-step explanation:

360

Answer: (9, -2)

Step-by-step explanation:

Let's start with what makes a function even. A function is even if the graph of it is symmetric about the y-axis. What is really means is that if you were to fold your graph paper where the crease is on the y-axis, the graph should be the same on each side.

Now since g is an even function, it's correct for us to assume that it is symmetric about the y-axis. What this means is that we expect to find a value at the same point, except on the right side (because our coordinate is negative).

Our coordinate is (-9, -2). If we were to plot it, we'd see it would be in the 3rd quadrant, or the bottom left one. To be symmetrical on the right side, we know there is a point with the same coords in the 4th quadrant. To be on the right, our x coordinate would be positive, and our y coordinate will stay the same.

Answer:

This is more of a question that involves opinion, I prefer to studdy animal cells but that is merely my opinion. Plant cells are interesting too and may be more interesting to someone else, But for me animal cells are the better choice.

Step-by-step explanation:

Definition. Animal cells are the basic unit of life in organisms of the kingdom Animalia. They are eukaryotic cells, meaning that they have a true nucleus and specialized structures called organelles that carry out different functions.

Plant cells are the basic unit of life in organisms of the kingdom Plantae. They are eukaryotic cells, which have a true nucleus along with specialized structures called organelles that carry out different functions. Plant cells have special organelles called chloroplasts, which create sugars via photosynthesis.

Answer:

6 shelves

Step-by-step explanation:

Let the number of shelves needed be s

If the total number of books to be displayed is 390books

If Each shelf can hold 65 books, then;

1 shelf = 65books

To know the  total shelf needed;

s = 390 books

Divide both expressions

1/s = 65/390

65s = 390

Divide through by 65

65s/65 = 390/65

s = 390/65

s = 6

Hence 6 shelves will be needed

Answer:

-3x²-5xeˣ-eˣ

-3eˣx²-11eˣx-6eˣ

Step-by-step explanation:

I'm going to go by the picture and not what you wrote in your title.

To find the derivative of this we have to apply the product rule

(a*b)'=

a'*b+a*b'

We plug in our numbers and get

(-3x²+x-2)'*eˣ+(-3x²+x-2)*eˣ'

Now we can evaluate the derivatives and simplify

(-3x²+x-2)'= -6x+1

eˣ'=eˣ

which means we have

(-6x+1)*eˣ+(-3x²+x-2)*eˣ

Simplify

-6xeˣ+eˣ-3x²eˣ+xeˣ-2eˣ

Combine like terms

-3x²eˣ-5xeˣ-eˣ

Now we just need to find the derivative of this

We can apply the same product rule as we did before

(-3x²eˣ)'

Let's start by factoring out the -3 to get

-3(x²eˣ)'

which is equal to

-3(x²eˣ'+x²'eˣ)

Compute this and get

-3(x²eˣ+2xeˣ)= -3x²eˣ-6xeˣ

Now let's find the derivative of the second part

(-5xeˣ)'

-5(x'eˣ+xeˣ')

-5(eˣ+xeˣ)

-5eˣ-5xeˣ

Which means we have

(-3x²eˣ-6xeˣ)+(-5eˣ-5xeˣ)-eˣ

Combine like terms and get

-3eˣx²-11eˣx-6eˣ

The following are statistical questions:

The following are not statistical questions:

A statistical question is a question that can be answered by collecting data that varies. For example, the hours studied by students in a class would vary. Some would study for 1 hour, others 2 hours or 5 hours or 10 hours.

To learn more about statistical questions. please check: https://brainly.com/question/11253919

#SPJ1

Answer:

r=4/2=2cm

total volume=volume of cylinder + cone=πr²h+1/3πr²h'=πr²(h+1/3 h')=2²π((10-3)+1/3× 3)=4π(7+1)=8×4π=32πcm³

Answer:

p=-8

Step-by-step explanation:

A negative multiplied by a negative is a positive.

Answer:2.234

Step-by-step explanation:

It would be B)no.

Hope This Helps!

Answer:

D because you have to cos

Answer:

B and D

Step-by-step explanation:

sin(15)=0.25

cos(65)=0.42

Answer:

The equation is

(students x points) / teachers

Answer: 22

Step-by-step explanation:

Answer:

[tex]Flag = 55.90m[/tex]

Step-by-step explanation:

Given

[tex]Length = 50m[/tex]

[tex]Width = 25m[/tex]

Required

Determine the length of the flag

Because the flag crosses through opposite diagonals of the pool. Its length is the length of the diagonal of the pool.

This is calculated using Pythagoras theorem.

[tex]Flag^2 = Length^2 + Width^2[/tex]

Substitute values for Length and Width

[tex]Flag^2 = 50^2 + 25^2[/tex]

[tex]Flag^2 = 2500 + 625[/tex]

[tex]Flag^2 = 3125[/tex]

Take positive square root of both sides

[tex]Flag = \sqrt{3125[/tex]

[tex]Flag = 55.90m[/tex]

Hence, the length of the flag is approximately 55.90m

Money with Nathan in his savings account = $40

Rate of interest per annum = 5%

We know that :

[tex]\color{hotpink}\tt \: simple \: interest \color{plum}= \frac{principal \times rate \times time}{100} [/tex]

In this case :

Principal = $40

Rate = 5%

Time = 1 year

Simple interest he will earn in 1 year :

[tex] =\tt \frac{40 \times 5 \times 1}{100} [/tex]

[tex] = \tt \frac{200}{100} [/tex]

[tex]\color{plum} =\tt\$ \: 2[/tex]

Amount = Principal + Interest

Amount Nathan has to pay at the end of one year :

[tex] = \tt40 + 2[/tex]

[tex]\color{plum} =\tt \$42[/tex]

Thus, at the end of 1 year Nathan has to pay $42.

Therefore, simple interest Nathan will earn in 1 year = $2

Answer:

8x-4

Step-by-step explanation:

4 is less meaning it is subtraction and product of 8 and x is 8x