A triangular prism and its dimensions are shown in the diagram. What is the lateral surface area of this triangular prism in square feet?

Step-by-step explanation:

the volume of this object is the sum of the volume of the 2 blocks.

the large block is a cube of 4×4×4 = 64 ft³

the small block is 1×1×2 = 2 ft³

so, in total, he can fit 64+2 = 66 ft³ of plaster into the mold.

A. a^1/12

When dividing two exponents with the same base, subtract the denominator exponent from the numerator's exponent.

the difference is the value of the new exponent with the same base.

The Pythagorean theorem is the idea that the sum of the two legs which are both squared is equal to the hypotenuse's length squared.

     *look at the image I attached for a better explanation

By looking at the picture, we are missing the leg's length, and by using the Pythagorean theorem, we get the equation

    [tex]?^2+9^2 = 16^2\\?^2 + 81 = 256\\?^2 = 175\\? = 13.2[/tex]

Thus the missing side length is 13.2 cm

Hope that helps!

Hey there!

This is a one-step equation, meaning that we can solve it in one step.

This is the step:

Goal:

Subtract 14:

x+14-14=63-14

the 14's on the left cancel:

x=49

Hence, the answer is

[tex]\boxed{\boxed{\bold{x=49}}}[/tex]

Hope everything is clear.

Let me know if you have any questions!

#LearningDoesn'tEnd

:-)

[tex]\rule{200}{2}[/tex]

Answer:

476 inches. i dont know how to do an explanation i just looked it up lol

Answer:

476 inches

Step-by-step explanation:

First convert 12 yards to 36 feet. We know this is the conversion because there are 3 feet in every foot, and 12 times 3 is 36.

We add 36 feet to 3 feet and we get 39 feet. There are 12 inches in a foot, so we do 12 times 39 feet and we get 468 inches.

The we add 468 inches to 8 inches and finally get 476 inches.

The number of friendship bracelets Gabrielle can make is 20 bracelet

1 feet = 12 inches

12 feet = 144 inches

Number of colors of floss = 6

Quantity of each floss = 12 feet = 144 inches

Total quantity of floss = 6 × 144

= 864 inches

Quantity of each floss used for bracelet = 7 1/5 inches

Total floss used for each bracelet = 6 × 7 1/5

= 6 × 7.2

= 43.2 inches

Number of bracelet Gabrielle can make = Total quantity of floss ÷ Total floss used for each bracelet

= 864 ÷ 43.2

= 20 bracelet

Learn more about conversion of feet to inches:

https://brainly.com/question/384660

Answer:

Certain

Step-by-step explanation:

If she buys all of them, no one else has a chance because there is no other tickets

El monto total acumulado, capital más interés, con interés compuesto sobre un capital de $5,000.00 a una tasa de 5.15% anual compuesto 4 veces por año durante 1 año es $5,262.52.

Datos dados

A = P + I donde

P (principal) = $5,000.00

I (interés) = $262.52

Pasos de cálculo:

Primero, convierta R como un porcentaje a r como un decimal

r = R/100

r = 5,15/100

r = 0.0515 tasa por año,

Luego resuelve la ecuación para A

A = P(1 + r/n)^nt

A = 5000,00(1 + 0,0515/4)^(4)(1)

A = 5,000.00(1 + 0.012875)^(4)

A = $5,262.52

Obtenga más información sobre el interés compuesto aquí:

https://brainly.com/question/24924853

Answer:

y = -6

Step-by-step explanation:

Answer:

The degree of the polynomial [tex]-3x^{6}+2x^{3} +x^{7} +5[/tex] is 7

Step-by-step explanation:

The degree of a polynomial is the largest power a variable is taken to in an expression. Since the largest exponent in this polynomial is 7, that is the degree of the polynomial.

Answer:

7

Step-by-step explanation:

The degree of a polynomial is the highest exponent in a polynomial.

Standard Form

To find the degree, it is easiest to first write the polynomial in standard form. Standard form is when the terms' exponents are written from greatest to least.

Degree

From the standard form, it is obvious that the degree is 7. Any time the polynomial is written in standard form, the first term's exponent will be the degree of the whole polynomial.

Answer:

m = 0

m = 7

m = -4

Step-by-step explanation:

[tex]\sf 9m^3-27m^2-252m=0[/tex]

Divide by 9:

[tex]\sf \implies m^3-3m^2-28m=0[/tex]

Factor out common term m:

[tex]\sf \implies m(m^2-3m-28)=0[/tex]

Factor expression in parentheses:

[tex]\sf \implies m(m-7)(m+4)=0[/tex]

Therefore,

[tex]\sf \implies m=0[/tex]

[tex]\sf \implies m-7=0 \implies m=7[/tex]

[tex]\sf \implies m+4=0 \implies m=-4[/tex]

Answer:

7m

Step-by-step explanation:

product means multiplication

7×m = 7m

Answer:

27/200

Step-by-step explanation:

Knowing that:

A bag of tokens contains 9 red, 6 green, and 5​ blue tokens. What is the probability that a randomly selected token is red and green?

Solve:

and = multiply

Total = 9 red + 6 green + 5 blue = 9 + 6 + 5 = 20

Total = 20 token

Thus,

There are 9 red and 6 green..

Hence,

9 out of 20 is red

6 out of 20 is green

Equation

9/20 × 6/20

Multiply Across:

9 × 6 = 54

20 × 20 = 400

54/400

Simplify

27/200

Therefore, the probability that a randomly selected token is red and green is 27/200.

~Lenvy~

The probability that a randomly selected token is red and green is 27/200 in fraction form and 0.135 in decimal form.

Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.

Given that a bag of tokens contains 9 red, 6 green, and 5​ blue tokens.

Total = 9 red + 6 green + 5 blue = 9 + 6 + 5 = 20

Total token = 20

P(E₁) is 9 out of 20 are red.

P(E₂) is 6 out of 20 are green.

⇒ P(E₁) = 9/20

⇒ P(E₂) = 6/20

Required probability P(E) = P(E₁)×P(E₂)

Required probability P(E) = 9/20 × 6/20

Required probability P(E) = 54/400

Required probability P(E) = 27/200 = 0.135

Therefore, the probability that a randomly selected token is red and green is 27/200.

Learn more about probability here:

brainly.com/question/11234923

#SPJ2

Answer:

please try do the rest by yourself..Of you didn't get the answer you can ask me through comment..

Solution :-

Here, we have been given that lines f and g are parallel. Thus, the angle measuring 135° and ∠2 are vertically opposite angles.

And we know that vertically opposite angles measure same. Thus,

∠2 = 135°

And,

∠2 + ∠6 = 180° ( Co - interior angles sum up to 180° )

135° + ∠6 = 180°

∠6 = 180° - 135°

∠6 = 45°

Hope that helps :)

Answer:

Explanation:

So you want to start by finding the area of the big square.

We know the width of the big square is 60cm. The length of the big square is

19

+

24

+

13

=

56

Big square

A

r

e

a

=

L

⋅

W

=

56

⋅

60

=

3360

Now let’s find the little square inside the bigger square. We see from the picture that the width is 34 and the length is 24cm. Using the same formula, we can find the area of the little square.

Little square

A

r

e

a

=

L

⋅

W

=

24

⋅

34

=

816

The area enclosed in the area of the big square minus the area of the little square.

3360

−

816

=

2544

So the area enclosed is

2544

c

m

2

Step-by-step explanation:

The outputs are addition of 4 to their inputs therefore,if the input is n then the output will also be an addition of 4 hence n+4

Answer:

3/1

Step-by-step explanation:

1.5+1.5

calcular los dos primeros términos

3

escribe el número entero como una fracción

3/1

Answer:

your mom

u.w.u

lol

haha

study well

Answer:

if I'm wrong let me know 25

Step-by-step explanation:

12 is your answer

22/7 × 1.95× 1.95

you will get 11.9

round off to get

12

bai

The surface area of the larger solid is approximately 971.13 m².

A scale factor is the ratio of the corresponding sides of two similar objects.

Let's find the scale factor as follows:

z = scale factor

x = the volume of the larger solid

y = the volume of the smaller solid

Therefore,

z³ = x / y

z³ = 1408 / 594

z = ∛1408 / 594

z = 11.2081573 / 8.40611799

z = 1.33

Therefore,

let's find the surface area of the larger solid.

The scale factor squared is equal to the surface area of the larger solid divided by the surface area of the smaller solid. Therefore,

z² = larger solid / 549

surface area of the larger solid =  1.33² × 549

surface area of the larger solid = 1.7689 × 549

surface area of the larger solid = 971.1261

surface area of the larger solid = 971.13 m²

learn more on similar solids here: https://brainly.com/question/2254019

Equation given:  [tex]S = 16t^2[/tex]

Solve:

   [tex]S = 16t^2\\1279=16t^2\\t^2 = 79.93\\t=8.9[/tex]

Thus it took 8 seconds for the thing to fall from the top

Hope that helps!

Answer:

x=-5

Step-by-step explanation:

3(2x+1)=7x-2

6x+3=7x-2

6x-7x=-2-3

x=-5

3(2x + 1) = 7x-2

3*2x+3*1=7x-2

6x+3=7x-2

6x-7x=-3-2

-1x=-5

x=5

Answer:

1: statistical

2: not statistical

3: statistical

Step-by-step explanation:

The first and third statements can be answered by many people.

How many sisters do you have?

- Not statistical

How many inches are in 2 feet?

- Not statistical

How many pets do you have?

- Not statistical

Statistical data are numerical or categorical information that has been collected through a systematic process and analyzed using statistical methods.

These data can be used to describe, summarize, compare, and draw conclusions about a population or a sample.

We have,

How many sisters do you have?

- Not statistical

How many inches are in 2 feet?

- Not statistical

How many pets do you have?

- Not statistical

None of these questions involve collecting, analyzing, or interpreting data, which are key characteristics of statistical questions.

They are simply asking for a count or a conversion of units, and do not involve any variability or uncertainty.

Thus,

All the given questions are not statistical.

Learn more about statistical data here:

https://brainly.com/question/11969248

#SPJ3

Answer:

m = -1/9

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

4 x 2 = 8 x 5

l x w x h

or

Bxh

Answer:

3/10

Step-by-step explanation=

Total amount of books in her bag = 10

Total amount of Japanese books in bag = 3

So you have a 3 out of 10 chance of choosing a Japanese book

Also, this problem was trying to confuse you with all the extra wording

Here is the important information in bold

Shirley has 5 novels and 5 comic books in her bag.

Three of her books are in Japanese, 2 of which are

comic books. The rest of her books are in English.

If a book is chosen at random from her bag, find

the probability of choosing

(((i) a book in Japanese))))-question

Answer:

U add both side of the shape to get the fractional

Step-by-step explanation:

I just did this not to long ago