4. Find the surface area of the triangular prism:
5 ft
5 ft
3 ft
14 ft
8 ft
Shows work please

Answer:

Formula for area of circle;

A = π[tex]r^{2}[/tex]

Where 'π' represents pi(3.14 or 22/7), and 'r' stands for the radius which is being squared.

What we know:

Plug in what we know;

A = π[tex]r^{2}[/tex]

(For pi I'll be using 3.14 instead of 22/7)

A = 3.14(14^2) ← (The symbol ' ^ ' means to the power of.)

A = 3.14(196)

A = 615.44, 615.44 centimetres is the area of this circle.

Answer:

≈[tex]615.44cm^2[/tex]

Step-by-step explanation:

So the equation for area of circle.

[tex]\pi r^2\\\pi 14^2[/tex]

So 14^2, or 14 x 14 is 196.

Now you can either keep it in terms of pi, 196pi, or times it by pi.

[tex]196*pi\\196*3.14\\615.44[/tex]

So the answer would be around 615.44cm^2

Answer:

x=-4

y=2

Step-by-step explanation:

y= 14+3x

2x+3y =-2

2x+3(14+3x) =-2

x= -4

y= 14+3(-4)

y=2

Answer:

60 marshmallows and 30 crackers

Step-by-step explanation:

Each girl brought a bag of marshmallows containing 30 marshmallows inside. 2 x 30 = 60 marshmallows altogether.

Since there are 15 s'mores, we have to distribute the marshmallows equally.

60 ÷ 15 = 4 marshmallows in each. But if we multiply that again ( 15 x 4 ) we get 60 again. Thus, they used 60 marshmallows altogether.

The girls make 15 smores. A s'more has two crackers inside one.

2 x 15 = 30 crackers.

Hope this helped.

Answer:

60 marshmallows and 30 crackers

explanation:

1. 15 x 4 = 60

60 divided by 15 = 4

2. 15 x 2 = 30

Answer:

$15.48 for 12 lbs

Step-by-step explanation:

Check photo for work

The 12 pounds of ground beef cost is  $15.48.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

According to the question

8 pounds of ground beef cost $10.32

i.e  8 pounds of ground beef = $10.32

    1  pounds of ground beef = [tex]\frac{10.32}{8}[/tex]

    1  pounds of ground beef = $1.29

Therefore,

12 pounds of ground beef = 1.29*12

12 pounds of ground beef = $15.48

Hence, 12 pounds of ground beef is of  $15.48.

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Answer:

9

Step-by-step explanation:

If it takes 162 minutes each night to clean all 6 ovens, and each staff member works for 18 minutes each then we have to use division to find out how many staff members it will take to clean the ovens.

First we have to divide 162 by 18 which equals 9. This is a one step problem, so 9 is the answer.

It will take 9 staff members to clean all 6 ovens.

Happy Holidays

It takes 9 staff members to clean all six ovens, with each staff member working for 18 minutes.

Given that total cleaning time is 162 minutes

Time per staff member is 18 minutes

To find the number of staff members (N), we divide the total cleaning time by the time per staff member:

N = Total cleaning time / Time per staff member

N = 162 minutes / 18 minutes

N = 9

Therefore, it takes 9 staff members to clean all six ovens, with each staff member working for 18 minutes.

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Answer:

12 cubic cm

Step-by-step explanation:

[tex]V_{1\: cube} = \bigg( \frac{1}{2} \bigg )^{3} = \frac{1}{8} \: {cm}^{3} \\ \\ \implies \:V_{96\: cubes} = 96 \times \frac{1}{8} \: {cm}^{3} = 12\: {cm}^{3} [/tex]

It is given that: prism is completely filled with 96 cubes.

[tex]\implies \: V_{prism} =V_{96\: cubes}[/tex]

[tex]\implies \: \huge \red{V_{prism} = 12\: {cm}^{3}}[/tex]

Answer:

96

y-step explanation:

volume of 1cm cubes = 1 x 1 x 1 = 1 cm^3

so it will take 96 cubes to fill the prism

Answer:

695

Step-by-step explanation:

Answer:

I think AC is 6.

Step-by-step explanation:

This looks like an equilateral triangle so that means because there is a 3 on  one side of the line it should be the same on the other side of the line so 3 x 2 = 6.

Step-by-step explanation:

[tex]triangle \: abd \\ using \: pythagoras \: theorem \\ {hyp}^{2} = {adj}^{2} + {opp}^{2} \\ {12}^{2} = {3}^{2} + {opp}^{2} \\ 144 = 9 + {x}^{2} \\ 144 - 9 = {x}^{2} \\ 135 = {x}^{2} \\ take \: the \: square \: of \: both \: sides \\x = 11.62[/tex]

using the opposite side of triangle and

[tex]using \: pythagoras \: theorem \\ {16}^{2} = {11.62}^{2} + {x}^{2} \\ 256 = 135.02 + {x}^{2} \\ 256 - 135.02 = {x}^{2} \\ 120.198 = {x}^{2} \\ take \: the \: roots \: of \: both \: sides \\ x = 10.96[/tex]

therefore the length of line AC

[tex] = 3 + 10.96 \\ = 13.96[/tex]

hope this helps

Answer:

First choice

Step-by-step explanation:

X= - 2/3; - 20/9

Answer:

              vertex

ray

Step-by-step explanation:

The point where the rays intersect, upper right, is the vertex.

One side of the angle, bottom left, is a ray.

Answer:

Answer:

-13

Step-by-step explanation

Rounded to the nearest 0.01 or

the Hundredths Place.

Answer:

5 is in hundreds place, 0 is in the tens place, 1 is in the tenths place and 4 is in the hundreths place.

Step-by-step explanation:

Answer:

Example 1.

A square with side lengths of 5.

5*5 = 25.

So the area would be 25 units ^2

Example 2.

A rectangle with a length of 9 and a width of 4

9*4 = 36

So the area is 36 units ^2

Answer:

ans: 75

Find the area of a rectangle in square inches with a length of 15 inches and a width of 5 inches in sq. inches.

__________________________________________________________

ans: 113.10

Find the area of a circle with a diameter of 12 inches in square inches.

Answer:

This method is incorrect.

Step-by-step explanation:

The student's understanding of an exponent -1 is correct, but applying it to the inverse function f^-1(x), is wrong.

The method to find inverse function is to replace f(x) with y, switch x and y, then solve for y.

To use the (incorrect) "simple method" Put a 1 on top and move the function to the bottom (denominator).

For example, let's look at the function f(x) = x+3

Write y in place of f(x).

y = x + 3

Switch x and y.

x = y + 3

Solve for y.

Subtract 3.

x - 3 = y

Rewrite.

y = x - 3

This is the proper inverse function.

f^-1 (x) = x - 3

Using the (incorrect) "simple method"

f(x) = x + 3

f^-1(x) = 1/(x+3)

This shows that the shortcut doesnot work, its wrong. To do it correctly, switch x and y and solve for y.

The function is a linear function, and the equation of the function when squared is (f(x))² =25(4x²)

The equation of the function is given as:

f(x) = 5(2x)

When the function is squared, we have:

(f(x))² =(5(2x))²

Evaluate the exponent

(f(x))² =25(4x²)

Hence, the equation of the function when squared is (f(x))² =25(4x²)

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Answer:

19

Step-by-step explanation:

231 - 7a = 98 = -7a + 231 = 98

Subtract 231 from both sides to get -7a = -133

Divide by -7 on both sides to get a = 19

Answer:

a = 19 is the correct solution.

Step-by-step explanation:

Step 1 : Start by simplifying both sides of the problem.

231 − 7a = 98

231 + − 7a = 98

−7a + 231 = 98

Step 2 : Next step is to subtract 231 from both sides

−7a + 231 − 231 = 98 − 231

−7a = −133

Step 3: Finally, divide both sides by -7.

( When I use the symbol /, it signifies I'm dividing.)

-7a/-7 = -133/-7

-133 divided by -7 equals 19

This shows that a = 19. I hope this helps! :D  

Answer:

22707

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

-7 is the farthest left on the number line so it is the least value

-5 is the second least value on the numberline

then 0

1/4

and 1/2

the least value is on the left and the greatest is on the right

so the answer is A

Answer:

Because of the ratio in 2 becomes 3-1 is 2

Answer:

[tex] \: [/tex]

Step-by-step explanation:

[tex] \: [/tex]

Given Equation,

[tex] \\ {\longrightarrow{ \qquad{{ {\pmb{\rm { 4x+4=2x-6}}}}}}} \\ \\[/tex]

Subtracting 4 from both sides we get :

[tex] \\ {\longrightarrow{ \qquad{{ {\pmb{\rm { 4x+4 - 4=2x-6 - 4}}}}}}} \\ \\[/tex]

[tex]{\longrightarrow{ \qquad{{ {\pmb{\rm { 4x=2x-10}}}}}}} \\ \\[/tex]

Subtracting 2x from both sides we get :

[tex] \\ {\longrightarrow{ \qquad{{ {\pmb{\rm { 4x - 2x= 2x-10 - 2x}}}}}}} \\ \\[/tex]

[tex]{\longrightarrow{ \qquad{{ {\pmb{\rm { 2x= -10 }}}}}}} \\ \\[/tex]

Dividing 2 from both sides we get :

[tex] \\ {\longrightarrow{ \qquad{{ {\pmb{\rm { \frac{2x}{2} = - \frac{10}{2} }}}}}}} \\ \\[/tex]

[tex]{\longrightarrow{ \qquad{{ {\pmb{\frak { x= -5 }}}}}}} \\ \\[/tex]

Therefore,

Answer:

D

Step-by-step explanation:

im too lazy to type so i write it out instead

Answer:

yes its 18

Step-by-step explanation:

count the dots

Answer:

56.25    units^3

Step-by-step explanation:

To find the volume, multiply the three dimensions

3.75 * 3 * 5 =

Answer:5/16 sq inch

Step-by-step explanation:

muliply heigh by width

4/8 times 5/8

Answer:

the sports players drank 13 cups

Step-by-step explanation:

1 cup equals 0.25 quarts which means 1 quart would equal 4 cups. This means there were 16 cups in total during the game. If there were only 3 cups left afterwards, that means 13 of the 16 cups were taken.

Answer:

84.78 inches cubed  - hope this helped :)

Step-by-step explanation:

formula - πr^2[tex]\frac{h}{3}[/tex]

3 x 3 x 3.14 = 28.26

28.26 x 9/3

28.26 x 3

answer = 84.78

Answer:

84.78 inches cubed

Step-by-step explanation:

You need to comprehend the volume formula for cones

Volume Formula for Cones: V=1/3hπr²

Your measurements:

9 inches for height

3 inches for radius

**Radius is half of a circle and diameter is full of the circle/base.***

Equation:V=1/3 x 9in x π x 3²

You should do 3 squared first so that you can input it into your calculator easily.

V=1/3 x 9in x π x 9

Now on a calculator do 1 divided by 3 which is the "1/3" in the formula.

Then multiply 9, 3.14 for pi, and 9 for radius.

Note: You should do 3.14 for pi not the whole pi symbol on the calculator.

Your answer: 84.78 in cubed

Answer:

To find the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to find the result.y-step explanation:

Answer:

Step-by-step explanation:

use quadratic formula answers -4,-14

Answer:

3/4

Step-by-step explanation:

The answer is 3/4, because we rise 3 and run 4 the formula is always rise over run, and thats why its 3/4

Hoped this helped!!