Find the area of each face of the triangular prism and the total surface area.
Drag each tile to its matching measurement. Each number may be used once or not at all.

Answer:

Step-by-step explanation:

a(1) = 10(.1)^1 = 1

a(2) = 10(.1)^2 = 10(0.01) = 0.1

a(3) = 10(.1)^3 = 10(0.001) = 0.01

a(4) = 0.001

a(5) = 0.0001

Answer:proved

Step-by-step explanation:

Sum of interior angles of a polygon=180

Sum of interior angles of a polygon=180(n-2)

n=number of sides

a triangle have 3 sides n=3

Sum of interior angles of a triangle=180(3-2)

Sum of interior angles in a triangle=180 x 1

Sum of interior angles in a triangle=180°

Answer:

im adding the completed one to all of the questions

Answer:

It will take 50 minutes take if you travel 40 miles per hour

Step-by-step explanation:

The driving time varies inversely with the speed of the car i.e.

[tex]t\propto \dfrac{1}{v}[/tex]

or

[tex]\dfrac{t_1}{t_2}=\dfrac{v_2}{v_1}[/tex]

We have,

[tex]t_1=40\ min\\\\v_1=50\ mph\\\\v_2=40\ mph\\\\t_2=?[/tex]

Plugging all the values, we get :

[tex]t_2=\dfrac{t_1v_1}{v_2}\\\\t_2=\dfrac{40\times 50}{40}\\\\t_2=50\ min[/tex]

So, it will take 50 minutes take if you travel 40 miles per hour.

The number of minutes would it take if you travel 40 miles per hour is 50 minutes.

Since if a certain trip takes 40 minutes when you travel 50 miles per hour

So, the time for 40 miles per hour should be

[tex]= 40\times 50\div 40[/tex]

= 50 minutes

Therefore, The number of minutes would it take if you travel 40 miles per hour is 50 minutes.

Learn more about time here: https://brainly.com/question/24723699

We have been given graph of function [tex]y=f(x)[/tex]. We are asked to find the value of [tex]f^{-1}(6)[/tex] from the graph of  [tex]y=f(x)[/tex].

We know that to find an inverse function is a function that reverses another function. A function f(x) gives an output of y, when we input some value of x. The inverse of f(x) will give the same value of x from value of y.

So to find inverse of a function we need to switch all x and y values.

We can see that [tex]f(4)=6[/tex], so to to find value of  [tex]f^{-1}(6)[/tex], we have to switch x and y values.

After switching x and y values, we will get:

[tex]f^{-1}(6)=4[/tex]

Therefore, [tex]f^{-1}(6)=4[/tex].

Answer:

4

Step-by-step explanation:

Answer:

Victor's equation did not correctly model the problem.

The equation that correctly modeled the problem:

$129.85-$89.25=$40.60

Step-by-step explanation:

The amount required for bicycle purchase by Victor is $129.85 out of which $89.25 has been saved,in other words,the balance required for Victor to reach his target purchase price is the difference between the total cost of $129.85 and the $89.25 already saved.

The balance required=$129.85-$89.25=$40.6

This shows that the equation put forward by Victor is wrong.

An equation that correctly represents the problem is the difference between the target savings and the amount already saved as stated above

Answer:

Victors model is incorrect,

Step-by-step explanation:

the correct model would be $89.25 + x = $129.85 or in other words the amount of money he has already + the amount of money he still needs = the total price of the bike.

An equation that correctly represents this problem can show the sum of the amount of money he already has and the amount of money he needs equals the total cost of the bicycle

I hope this helped!!

Answer:

  31 ft

Step-by-step explanation:

The statue represents the side of a right triangle that is opposite the angle of elevation. The distance to the statue represents the side adjacent to the angle. Then ...

  Tan = Opposite/Adjacent

  tan(61°) = h/(17 ft)

Multiplying by 17 ft, we have ...

  h = (17 ft)tan(61°) ≈ 30.67 ft

  h ≈ 31 feet

Answer:

X = 2

Step-by-step explanation:

6(x-4) + 3(x+7)= 3 ​

Open parentheses

6x-24+3x+21=3

Simplify

3x-3=3

Add 3 onto both sides

3x=6

And...

Answer:

1.  Understand your problem

2. Gather your resources

3. Come to an answer

4. Check your answer and present the solution

Step-by-step explanation:

Answer:

58

Step-by-step explanation:

Answer: 58 in.^2

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

I'm really sry if it's wrong!

Answer:

radius-8 inches cause math

circumference-50.27

Step-by-step explanation:

Answer:

X>-3

Step-by-step explanation:

Hope I helped

Do u want the steps ?

Answer: x > -3

Step-by-step explanation: -5(4x + 7) <25

                                              -20x - 35 < 25

                                              -20x -35 + 35 < 25 + 35

                                              -20x/20 < 60/20

                                              x > -3

Answer:

Length is 3 meters and the Width is 5 meters

Step-by-step explanation:

L*W=15

L=2W-7

(2W-7)W=15

[tex]2W^{2} -7W=15\\2W^{2} -7W-15=0[/tex]

(2W+3)(W-5)=0, don't use (2W+3)=0, because it gives you a negative dimension.

W=5, L=3

Answer:

1436.76 m³

Step-by-step explanation:

Volume of sphere= 4/3 π r ³

V= 4/3(3.14)(7)³

V=4/3(3.14)(343)

V= 4310.26 / 3

V= 1436.76 m³

Answer: m = -2.

The given equation is: [tex]\frac{m}{m+4}+\frac{4}{4-m}=\frac{m^{2}}{m^{2}-16}[/tex].

The LCM of the denominators = [tex]m^{2}-16=(m+4)(m-4)[/tex].

We multiply both sides by LCM.

[tex]\left(m+4\right)\left(m-4\right)\left(\frac{m}{m+4}+\frac{4}{4-m}\right)=\left(m+4\right)\left(m-4\right)\cdot\frac{m^{2}}{m^{2}-16}[/tex]

[tex]m\left(m-4\right)-4\left(m+4\right)=m^{2}[/tex]

[tex]m^{2}-4m-4m-16=m^{2}[/tex]

[tex]8m=-16\\m=-2[/tex]

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Answer:

M=-2 B

Step-by-step explanation:

trust me i took the quiz

Answer:

you need  thing like bills need to be sent to you so you can pay them , if you use your friends adrdress you wont have easy acesses to to all of that information which isnt  a good thing in the long run

Step-by-step explanation:

Step-by-step explanation:

1.

   First blank: total amount of outcomes

2.

   since there's four possible outcomes: (Head-Head, Head-Tail, Tail-Head, and Tail-Tail) Mason should expect to win 1/4 of the time, or roughly 50 times.

3.

   a) F

   b) F

   c) T

   d) T

   e) T

    f) T

4.

17/36, because 17 of the answers are greater than 10 and there are 36 total answers.

Sorry I didn't answer all of them, hopefully this still helps!

Goodluck with your schoolwork/homework!

--------------------------------------------------------------

Apologies in advance for any errors/bad explanations.

Answer:

37

Step-by-step explanation:

4t< 150 Divide both sides by 4

t< 37.5

Since it wants the maximum number of tables, and tables are a whole number, the largest is 37. 38 is to many because it would surpass the maximum number of people allowed in a restaurant so 37 tables is the max without surpassing the occupancy level.

Answer:

37

Step-by-step explanation:

No of people that can be seated is 150

I tables seats 4 persons

Therefore 150 people requires 150/4 tables

150/4=37.5

The number of tables are 37

Answer:

Step-by-step explanation:

B or c

Answer:

0.7463 gm/cm^3

Step-by-step explanation:

Density of any substance is mass of that substance per unit of volume.

it can be represented by given below expression

Density = mass/ volume

Given

mass = 500gm

volume = 670 cubic centimetres

Therefore, density = 500/670 gm/cubic centimetres

density = 0.7463 gm/cm^3

Thus , density of statue is 0.7463 gm/cm^3.

Answer:

6.

Step-by-step explanation:

2.3 repeating = 2 1/3

So 3 2/3 + 2 1/3

= 5 + 1

= 6.

Answer: 6

Step-by-step explanation:

[tex]3\frac{2}{3}+2.3^-[/tex]

Let's begin by converting the repeating decimal to a fraction and then to a mixed number.

Take the number:

[tex]2.3^-[/tex]

Let x (our result) be equal to that number.

[tex]x=2.3^-[/tex]

Multiply by 1 followed by as many zeros as repeating decimals; in this case 1. Therefore, 10.

[tex]10x=2.3^-*10[/tex]

This basically moves the decimal point one number to the right and since we have infinite 3's, we simply move 1 three and add another.

[tex]10x=23.3^-[/tex]

Subtract this and the original equation ([tex]x=2.3^-[/tex])

[tex]10x=23.3^-\\-x=2.3^-[/tex]

-----------------

10 - 1 = 9 and we have the same infinite repeating number 3, therefore they cancel out, leaving 23-2 = 21

[tex]9x=21[/tex]

Divide by 9

[tex]x=\frac{21}{9}[/tex]

Simplify by 3.

21/3=7

9/3=3

[tex]x=\frac{7}{3}[/tex]

Now, convert to a mixed number. To do this, divide.

7/3=2

6

-------

1

The 2 is the whole number, 1 is the numerator and 3 the denominator.

[tex]2\frac{1}{3}[/tex]

------------------------------------------------------------------------------------------------

Now we can solve this;

[tex]3\frac{2}{3}+2\frac{1}{3}[/tex]

Add the whole numbers and the fractions separately.

[tex](3+2)+(\frac{2}{3}+\frac{1}{3})[/tex]

[tex]5\frac{3}{3}[/tex]

3 and 3 can be simplied.

3/3=1

3/3=1

[tex]5\frac{1}{1}[/tex]

The result is 1, add this to the 5.

[tex]5+1=6[/tex]

Answer:

D.

Step-by-step explanation:

Given: Dimensions of a rectangular prism are [tex]7.5\,\,inches,3\,\,inches\,,\,11.5\,\,inches[/tex]

To find: total surface area of the rectangular prism in square inches

Solution:

Length of the rectangular prism (l) = 7.5 inches

Breadth of the rectangular prism (b) = 3 inches

Height of the rectangular prism (h) = 11.5 inches

Total surface area of the rectangular prism = 2(lb+bh+hl)

= [tex]2(7.5\times3+3\times11.5+11.5\times7.5 )[/tex]

[tex]2(7.5\times3+3\times11.5+11.5\times7.5 )=2(22.5+34.5+86.25)\\=2(143.25)\\=286.5\,\,square \,\,inches[/tex]

So, option D is correct

Answer:

D! I got it correcttt

Step-by-step explanation:

Answer:

Step-by-step explanation:

-3x + 4y = -18

8x - 4y =   28

5x = 10

x = 2

4 - y = 7

-y = 3

y = -3

(2, -3)

The solution of the system of linear equations given is (2,-3), the correct option is C.

The system of linear equation is set of equations which have a common solution.

The equations are

-3x+4y = -18

2x-y =7

The linear equations can be solved using substitution method

y = 2x -7 from equation 2 will be substituted in equation 1

-3x +4 ( 2x -7) = -18

-3x +8x -28 = -18

5x = 10

x = 2

y = 2 * 2 -7 = -3

To know more about System of Linear Equations

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Answer:

  36.644 mL . . . . depending on your value of π (see below)

Step-by-step explanation:

The height of Micah's cup is found from the radius and slant height. The radius is half the diameter, so is 36 mm. Then the height h is ...

  45² = 36² +h²

  h = √(45² -36²) = 27 . . . . . mm

The volume is given by the formula ...

  V = (1/3)πr²h

  V = (1/3)π(36 mm)²(27 mm) = 11664π mm³

For π = 3.14

  11664(3.14) mm³ ≈ 36,625 mm³ = 36.625 mL

For π = 3.14159265

  11665π mm³ = 36,644 mm³ = 36.644 mL

_____

Comment on units

A unit of measure used for relatively small volumes, especially of liquid, is milliliters (mL). 1 mL = 1000 mm³.

Answer:

The answer is 11664pimm^3

Step-by-step explanation:

Answer:no, (5,1) is not a solution for the equation. (1/7,1) will be a solution for the equation.

Step-by-step explanation:

one way to do it is to plug 1 as the y-value into the first equation which does work but when you plug 5 as the x-value and 1 as the y-value in the second equation, it will get you to 41 which does not match so it will not be an equation. the other way to check is to solve by substitution which for the first equation, you divide both side by -5 and get y=1 then substitute y with 1 in the second equation and subtract both side by 6 and get 7x=1 and divide both side by 7 to get 1/7. the y-value match but the x-value don't so (5,1) is not a solution.

Answer:

9π cm - exact value

28.26 cm - approximate value

Step-by-step explanation:

C = πd =9π cm - exact value

or

C=9π≈ 28.26 cm - approximate value

Answer:

dont know need points sorry

Step-by-step explanation:

Answer:

I'm confused on what to answer in this. Edit the question and put the question in it and then I will be able to answer it

Answer:

Cylinder

Step-by-step explanation:

Answer:

cylinder

Step-by-step explanation:

Answer:

~ 1.25 centimeters of the snowflake in real life ~

Step-by-step explanation:

Let us plan out our steps, and solve for each:

1. Given the information, let us create a proportionality as such:

      12       =           1      ⇒   x - centimeters of the snowflake in real life

      15                   x

2. Now let us cross multiply, and solve through simple algebra for x:

15 = 12 * x

x = 1.25 centimeters of the snowflake in real life

Answer:

Answer is below

Step-by-step explanation:

21 + 5f = 61       Turn the words into an equation

-21        - 21       Subtract 21 from both sides

5f = 40              Divide both sides by 5

f = 8

If this answer is correct, please make me Brainliest!

Answer:

[tex]f = 8[/tex]

Step-by-step explanation:

[tex]21 + 5f = 61 \\ 5f = 61 - 21 \\ 5f = 40 \\ \frac{5f}{5} = \frac{40}{5} \\ f = 8[/tex]