6. A regular pyramid has a square base. The perimeter of the base is 64 inches and the height of the pyramid is 12 inches. What is the volume of the pyramid in cubic inches?

Answer:2 and 5

Step-by-step explanation:

The ratios that are equal to [tex]cos(B)[/tex] : [tex]\bold{\frac{BC}{AB}}[/tex] and [tex]\bold{\frac{EF}{DE}}[/tex]

"Two triangles are said to be similar

- if corresponding angles are equal and the sides

- if corresponding sides of the triangles are in proportion."

In a right triangle,

cos(Ф) = (adjacent side of angle Ф) ÷ hypotenuse

For given example,

Triangles ABC and DEF are similar triangles.

This means, ∠A = ∠D, ∠B = ∠E, ∠C = ∠F

And, [tex]\frac{AB}{DE} = \frac{BC}{EF} = \frac{AC}{DF}[/tex]               ..............(i)

For a right triangle ABC,

the cosine of angle B is,

[tex]cos(B)=\frac{BC}{AB}[/tex]

From (i),

[tex]\frac{BC}{AB}=\frac{EF}{DE}[/tex]

So, the cosine of angle B is,

[tex]cos(B)=\frac{EF}{DE}[/tex]

Therefore, the ratios that are equal to [tex]cos(B)[/tex] : [tex]\frac{BC}{AB}[/tex] and [tex]\frac{EF}{DE}[/tex]

Learn more about similar triangles here:

https://brainly.com/question/25882965

#SPJ2

Answer:

f(a + 1) = a² + 2a + 2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

f(x) = x² + 1

Step 2: Evaluate

Answer:

[tex]{ \tt{f(x) = {x}^{2} + 1 }} \\ { \tt{f(a + 1) = {(a + 1)}^{2} + 1 }} \\ { \tt{f(a + 1) = ( {a}^{2} + 2a + 1) + 1 }} \\ { \tt{f(a + 1) = {a}^{2} + 2a + 2}}[/tex]

Answer:

88

Step-by-step explanation:

line AC is equal to line DB

Answer:

1/9

Step-by-step explanation:

0.1(repeating)

Answer:

1. Terminating

2. 60

3. I don't know

Step-by-step explanation:

Answer:

136

Step-by-step explanation:

as you know that discriminant of a quadratic equation is

D= b² - 4ac

here, according to the give equation

x² + 10x -7 -2= 0

x²+ 10x -9 = 0

b= 10 , c= -9 and a= 1

by putting all these values in D.

you can get the value of discriminant which is 136.

I got this explained answer from an app called GAUTHMATH. Which is completely dedicated to maths problem. You can check it out too. It's available on Play Store and App Store.

hope this helps.

x is all real numbers.

Step-by-step explanation:

The domain is the possible values of x.

In this case, when y = 1.5, x can be any number. In other words, all real numbers.

Additionally, the domain can be represented as:

Df = {x: x <== all real numbers} or

Df = {x: x <== R}

Answer:

A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

cuz i did the test

There are (5 C 1) = 5! / (5 - 1)! = 5 ways of drawing a red marble, and (11 C 1) = 11! / (11 - 1)! = 11 ways of drawing any marble, so that the probability of drawing a red marble is 5/11.

After putting back the first marble, the probability of drawing another red is again 5/11.

So the probability of drawing 2 red marbles with replacement is (5/11)² = 25/121.

Step-by-step explanation:

pleae mark as brain list please give me some thanks please

Include options please

The statistical question is "What is the typical age of the grade 7 Mathematics teacher?"

The question is given as:

"how old is my mathematics teacher?"

A statistical question is such that requires statistical data to be answered or completed.

A statistical question for "how old is my mathematics teacher?" could be "What is the typical age of the grade 7 Mathematics teacher"

Read more about statistical question at:

https://brainly.com/question/15980493

Answer:

Each angle measures 44°.

Step-by-step explanation:

Answer:

44°

Step-by-step explanation:

180-92=88

Answer:

2 days

Step-by-step explanation:

It takes four plumbers five days

total labor needed

4 * 5 = 20 days

How long would it take ten plumbers?

20 / 10 = 2 days

Answer:

smaller piece is 65cm

larger piece is 115cm

Step-by-step explanation:

let 's' = smaller piece

let '180-s' = larger piece

3(180-s) = 85 + 4s

540 - 3s = 85 + 4s

540 = 85 + 7s

455 = 7s

s = 455/7 which is 65cm

larger piece = 180-65 or 115cm

Answer:

Step-by-step explanation:

The letter c

Answer

The answer is y= x-3

- - - - -

5

Explanation

Replace

f(x) with y.

y =5x+3

Swap x and y.

x =5y+3

Solve for y.

x - 3=5y

x-35=y

Answer: yes

Step-by-step explanation: because if you can draw a line through the graph and hit most of the dots it would be considered linear.

Answer:

Yes

Step-by-step explanation:

The correlation of the dots is very strong although it can't be a straight line.

Hope this helps

Answer:

37

Step-by-step explanation:

they gave us 53 and there is the 90 degree angle so you just add that and find the missing since itll equal 180

Answer:

"cinco es menor o igual que diez, y dos más dos son cuatro"

Step-by-step explanation:

Primero definamos los simbolos utilizados.

∧ significa "y"

∼ es el simbolo de la negación, es decir:

∼p significa "no p"

terminemos de resolver el problema para que el concepto quede claro.

si:

p = cinco es mayor que diez  (5 > 10)

entonces:

∼p = cinco es menor o igual que diez   (5 ≤ 10)

y

q = dos más dos son cuatro. (2 + 2 = 4)

entonces:

∼p∧q se escribe como:

"cinco es menor o igual que diez, y dos más dos son cuatro"

Answer:

(3, -6)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define Systems

y = 4x - 18

y = -5x + 9

Step 2: Solve for x

Substitution

Step 3: Solve for y

Answer:

x=3

y = -6

Step-by-step explanation:

y = 4x – 18

y = -5x +9

Set the two equations equal

4x – 18 = -5x +9

Add 5x to each side

4x – 18 +5x= -5x+5x +9

9x -18 = 9

Add 18 to each side

9x -18 +18 = 9+18

9x =27

Divide by 8

9x/9 = 27/9

x = 3

Now find y

y = 4x-18

y = 4*3 -18

y =12-18

y = -6

The angle of x in the right angle triangle is 30.80 degrees

Right angle triangle have one of it angles as 90 degrees. The angles can be found using trigonometric ratios.

Let's find the angle x using trigonometric ratios;

tan x = opposite / adjacent

Therefore,

tan x = 3.1 / 5.2

x = tan⁻¹0.59615384615

x = 30.7991697243

x ≈ 30.80°

Therefore, the angle of x is 30.80 degrees

learn more on right angle triangle here: https://brainly.com/question/3770177

9514 1404 393

Answer:

Step-by-step explanation:

Halfway along the 18' length from side wall to side wall will be 18'/2 = 9' from either wall.

Halfway along the 10' length from floor to ceiling will be 10'/2 = 5' from the ceiling (or floor).

The midpoint of the wall is 5' from the ceiling and 9' from the side wall.

Before we find the perimeter, first we must know length and width.

Let width = x

The question says that the length of a rectangle is twice its width. Therefore the length is 2×x or two times of width which equal to 2x.

The area of rectangle is given as 32 cm^2.

Do you remember the rectangle area formula? If not then it is:

[tex] \large \boxed{ \tt{A = width \times length}}[/tex]

Since A is area - substitute A = 32 in. As for width, we substitute in x and length in 2x.

[tex] \large{32 = x \times 2x}[/tex]

Since x multiplies by another x. It becomes x squared.

[tex] \large{32 = 2{x}^{2} }[/tex]

Next, we divide 2 by both sides since we want to solve for x.

[tex] \large{ \frac{32}{2} = {x}^{2} }[/tex]

Simplify 32/2 in simplest form.

[tex] \large{16 = {x}^{2} }[/tex]

Square both sides so we can get rid the x squared, leaving only x.

[tex] \large{ \sqrt{16} = \sqrt{ {x}^{2} } }[/tex]

Normally, when solving quadratic equation, you must write plus or minus. However, for this circumstance - we are solving a variable for length and width which cannot be negative. Therefore

[tex] \large{4 = x}[/tex]

After we solve for x. Substitute x = 4 in width = x and length = 2x.

[tex] \large{ \tt{width = x = 4}} \\ \large{ \tt{length = 2x = 2(4) = 8}}[/tex]

When we multiply these two numbers, we get 32 cm^2.

Next, we find the perimeter. The formula of perimeter for rectangle is:

[tex] \large \boxed{ \tt{P = (width + length) \times 2}}[/tex]

We know width and length which are 4 and 8 in order. Substitute in the formula.

[tex] \large{P = (4 + 8) \times 2} \\ \large{P = 12 \times 2} \\ \large \boxed{P = 24}[/tex]

Hence, the perimeter is 24.

Answer

after you list the factors, you have to read the question back .. the question the length of the rectangle is twice the width .. so 4 × 8 is the correct answer .. and you do as usual to calculate the perimeter ..

1 1/3 × 4

= 4/3 × 4

= 16/3

= 5 1/3

Answer:

5 1/3

Step-by-step explanation:

1 1/3 * 4

Change 1 1/3 to an improper fraction

1 1/3 = (3*1+1)/3 = 4/3

4/3 *4 = 16/3

Change to a mixed number

3 goes into 16 5 times with 1 left over

5 1/3

Answer:

x = 15

Step-by-step explanation:

Given that,

The length of the base of an isosceles triangle is x.

The length of a leg is 3x-4.

Perimeter, P = 97

An isosceles triangle has one base. The perimeter of a triangle is given by :

97=x+3x-4+3x-4

97 = 7x-8

97+8=7x

105 = 7x

x = 15

So, the value of x is 15.

Answer:

-2.5x-.5

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

draw the dotted line (3/7)x-3 and shade below it

Step-by-step explanation:

First, we need the slope

Use the slope formula:

[tex]\frac{Y_2-Y_1}{X_2-x_1}=\frac{2-(-8)}{-1-3}=\frac{10}{-4}=-2.5[/tex]

so we have

y= -2.5x+b

Solve for b by plugging in coordiantes

-8= -2.5(3)+b

-8= -7.5+b

b= -.5

Put it together and get -2.5x-.5

2.)

A line is parallel to another line if they have the same slope (and different y intercepts)

So in the formula y=mx+b we knowe that m= 2/3

Now it's just a matter of solving for B

plug in the required coordinate to do this

-1=(2/3)*0+b

-1= b

Put it all together to get

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

3.)

put this into slope intercept form

3x-7y>21

3x-21 > 7y

(3/7)x-3 >y

To graph this just draw a dotted line with the equation (3/7)x-3 and shade everything below it (use de_smos if you're stuck)