Zoe is decorating the outside of a box in the shape of a triangular prism. The figure
below shows a net for the box.
15 ft
12 ft
12 ft
17 ft
13.89 ft
13.89 ft
What is the surface area of the box, in square feet, that Zoe
decorates?

Answer:

77 pounds of fudge were sold.

Given the volume of the space in the pot and the volume of the meatballs, the sauce will not spill over.

The first step is to determine the volume of the remaining space that the sauce is yet to fill. A pot usually has the shape of a cylinder, so the formula for the volume of a cylinder would be used.

Volume of a cylinder = πr²h

π x (14/2)³ x 2 = 98 in³

The second step is to determine the volume of the two dozen meatballs.

Volume of a sphere = 4/3πr³

24 x (4/3 x π x (2/2)³) = 32π in³

To learn more about the volume of a sphere, please check: https://brainly.com/question/13705125

#SPJ1

The sauce will spill over if the volume of the pot is less than 146π in³ and it will not spill over if the volume of the pot is more than 146π in³.

The volume of sauce in the pot is calculated as follows;

V = πr²h

V = π x (7)² x (2)

V = 98π in³

Area of 1 meatball = πr² = π x (1)² = π in²

Area of the 2 dozen = (2 x 12) x A

                                       = 24 x π in² = 24π in²

the height of each meatball = 2 in,

Volume of the 2 dozens = 2 in x 24π in² = 48π in³

Total volume of the meatball and sauce in the pot = 98π + 48π = 146π in³

Thus, the sauce will spill over if the volume of the pot is less than 146π in³ and it will not spill over if the volume of the pot is more than 146π in³.

Learn more about volume here: https://brainly.com/question/1972490

#SPJ1

Answer:

aₙ = 3n - 5

5th term = a₅ = 3.5 - 5 = 15 - 5 = 10

Answer:

Step-by-step explanation:

aₙ = 3n - 5

Put n = 5:

a₅ = 3 · 5 - 5

a₅ = 15 - 5

a₅ = 10

The value of the given expression will be equal to 2060.

Expression in maths is defined as the collection of the numbers variables and functions by using the signs like addition,substraction, multiplication and division.

It is given that:-

=p²(m)-(np+r)

=(-8)²(32)-(2x(-8)+4)

=(64x32)-(-16+4)

=2060

Hence value of the given expression will be equal to 2060.

To know more about expression follow

https://brainly.com/question/723406

#SPJ1

Answer: 2/3 i beleive

Step-by-step explanation:

The parabola y = -16x^2 + 32x opens downward and the y value of the vertex is 16

The equation of the function is given as:

y = -16x^2 + 32x

Factor out -16

y = -16(x^2 - 2x)

In the above equation, the factor -16 is negative,

This means that the parabola opens downward

We have:

y = -16(x^2 - 2x)

Set to 0

-16(x^2 - 2x) = 0

Divide by -16

x^2 - 2x = 0

Factor out x

x(x - 2) = 0

Split

x = 0 or x - 2 = 0

Solve for x

x = 0 or x = 2

Hence, the roots are 0 and 2, and the x-intercepts are (0,0) and (2,0)

We have:

y = -16x^2 + 32x

Differentiate

y' = -32x + 32

Set to 0

-32x + 32= 0

Divide through by -32

x - 1 = 0

Add 1 to both sides

x = 1

Hence, the x value of the vertex is 1

In (c), we have:

x = 1

Substitute x = 1 in y = -16x^2 + 32x

y = -16(1)^2 + 32(1)

Evaluate

y = 16

Hence, the y value of the vertex is 16

Read more about quadratic functions at:

https://brainly.com/question/25312425

#SPJ1

Answer:

The answer is A

Step-by-step explanation:

because the angle in the circle is a central angle the angle is the same value as the arc.
Hope this helps!!

Answer:

Circumference= 2πr

For a semi circle, C= 2πr/2

144= (2×22×r)÷(7×2)

144= (44r)÷(14)

cross multiply:

44r= 144×14

44r= 2016

divide both sides by 44

r= 2016÷44

r=45.8cm. But d=2r

d= 2×45.8

d=91.6cm approximately 92cm

Thus, diameter= 92cm

Answer:

0

Step-by-step explanation:

-100+100 = 0

Answer:

the answer would be 0

because if you take 100 away from 100 you have 0 left

The statement that correctly compares the slopes of the linear functions is: the slope of g(x) is less than the slope of f(x).

Slope of a linear function = change in y / change in x = rise/run

Given the linear functions, g(x) and f(x) as shown in the image attached:

Slope of g(x) = 1/2 = 0.5

Slope of f(x) = 2/1 = 2

Therefore, we can conclude that: the slope of g(x) is less than the slope of f(x).

Learn mroe about slope of linear functions on:

https://brainly.com/question/15602982

#SPJ4

The volume will be 3π + π²/16 if the solid obtained by rotating the region bounded by the given curves about the specified axis. y=0, y= cos(4 x), x = π/8, x = 0 about the axis y= -4f

It is defined as the mathematical calculation by which we can sum up all the smaller parts into a unit.

We have curves,

[tex]\rm y=0, y= \cos(4 x), x = \frac{\pi}{8}, x = 0[/tex]

Here the axis is y = -4f, but not mentioned the value of f.

We are assuming the f = 3/2

So the axis will be y = -4(3/2) = -6

Inner radius = 6

Outer radius = 6 + cos4x

[tex]\rm A(x) = \pi((6+cos4x)^2-6^2)[/tex]

[tex]\rm A(x) = \pi (cos^24x+12cos4x)[/tex]

[tex]\rm A(x) = \pi( \dfrac{1+cos8x}{2}+12cos4x)[/tex]

For the volume;

[tex]\rm Volume = \int\limits^\dfrac{\pi}{8}}_0 {A(x)} \, dx[/tex]

Put the function A(x) in the above integration and solve we will get:

[tex]\rm Volume = 3\pi + \dfrac{\pi^2}{16}[/tex]

Thus, the volume will be 3π + π²/16 if the solid obtained by rotating the region bounded by the given curves about the specified axis. Y=0, y= \cos(4 x), x = π/8, x = 0 about the axis y= -4f

Learn more about integration here:

brainly.com/question/18125359

#SPJ4

Answer:

The expression is repeated multiplication form is 5.

The expression as power is 9.

Step-by-step explanation:

Answer:

The expression as powers is 5^9

Answer:

[tex]a=12[/tex]

Step-by-step explanation:

Pythagorean Theorem: [tex]a^{2}+b^{2}=c^{2}[/tex]

In this case, a = 9, b = a, and c = 15.

[tex]9^{2}+a^{2}=15^{2}[/tex]

[tex]81+a^{2}=225[/tex]

The, we subtract 81 from both sides getting:

[tex]a^{2}=144[/tex],

Then, [tex]a=12[/tex]

Answer:

Step-by-step explanation:

720

Answer:

15/9 = 1200/x

15x/ 15 =10800/15

x= 720

Answer:

Ricky drove at a speed of 34 mi/h.

Step-by-step explanation:

Danny = 26 mi/h

26 x 4 = 104

104 - 2 = 102

102/3 = 34

The division equation that satisfies the required parameters where 13 is the quotient is 1/1/13 = 13

The given parameters are:

A division equation is represented as:

Dividend/Divisor = Quotient

Substitute Quotient = 13

Dividend/Divisor = 13

A unit fraction is represented as 1/n, where n is an integer.

So, the divisor can be represented as 1/13

Dividend/1/13 = 13

Divide both sides by 13

Dividend = 1

So, we have:

1/1/13 = 13

Hence, the division equation is 1/1/13 = 13

Read more about division equations at:

https://brainly.com/question/1622425

#SPJ1

Answer:

I got x=4

Step-by-step explanation:

Answer:

a3 = 112

Step-by-step explanation:

a2 + a1 = a4

So

3x + 20 = 4x + 4

x = 16

a4 = 68

180 - 68 = 112

Answer: A

Step-by-step explanation:

Answer:

well its slop interform

Step-by-step explanation:

Answer:

its 698...............................

Answer:

41.89 cm3

Step-by-step explanation:

Given : Height = 10 cm

Given: Radius = 2 cm

Find the volume,

The formula for volume is,

V = π([tex]r^2[/tex])[tex]\frac{h}{3}[/tex]

Fill in the formula with the given values,

π · [tex]2^2[/tex] · [tex]\frac{10}{3}[/tex]

= 41.8879.....

Round answer to the nearest hundredth,

(The Rule For Rounding: the last digit is less than 5, keep the previous digit the same. If it's 5 or more then you should round the previous digit up.)

41.8879

7 is more than 5 so bring the 8 up to a 9,

41.89

Therefore the answer is 41.89 cm3.

Answer:

41.9 cm³ (nearest tenth)

Step-by-step explanation:

[tex]\textsf{Volume of a cone}=\sf \dfrac{1}{3} \pi r^2h \quad\textsf{(where r is the radius and h is the height)}[/tex]

Given:

[tex]\begin{aligned}\implies \textsf{Volume} &=\sf \dfrac{1}{3} \pi \cdot 2^2 \cdot 10\\\\ & = \sf \dfrac{1}{3}\pi \cdot 40\\\\& = \sf \dfrac{40}{3}\pi\\\\ & = \sf 41.88790205\:cm^3\end{aligned}[/tex]

Therefore, the volume is 41.9 cm³ (nearest tenth)

Step-by-step explanation:

we can only solve an equation.

but here we only have an expression, which we can simplify :

(-2x - 6x² - 4) + (5x² - 2x)

-2x - 2x - 6x² + 5x² - 4

-4x - x² - 4

Answer:

172.5

Step-by-step explanation:

mean of men=sum/no of men

177=sum/30

sum=177*30

= 5310

mean of women=sum/no of women

164=sum/16

sum=164*16

= 2624

mean height= (5310+2624)/30+16

=7934/46

=172.5

Answer:

172.48cm is the mean height for both groups put togther

Step-by-step explanation:

I've attached my work

- im red is the given information

- In pink is the formula used

- in green is the final answer

- In blue is what we need to find + the proccess

Please give me feedback on my repsomse by commenting,

any way i can improve showing my work?

Hope it helps, let me know if you have questions !

Have a nice rest of your day :)

Answer: $184

Step-by-step explanation:

Step (1)- 1/3 of 120= $40

Step (2)= 3/5 of 40= $24

Step (3)- 40+24+120= $184 (ToTaL)

Hope this helpss!

Ans

2:47 mins

Step-by-step explanation:

2 1/6 ÷7/8 = 2 10/21

2 10/12 to decimal 2.47

Answer:

y = 4 + 5x

Step-by-step explanation:

You can plug in numbers from the top row (the x's) and times and add to see if you get the corresponding number from the bottom row. This problem is a little mean and tricky because if you check with x=1, all of them work out right. But check with any other x and you will see that only one equation works, the first answer.

You can find "the rule" by looking for a pattern in the rows of numbers. The x goes up by 1, and the y goes up by 5 (if you go left to right on the table) With the 5 on top and 1 on the bottom, y/x, you get 5...that's the 5 that is beside the x in the answer. And if you imagine making one more column on the left side of the table, x=0 and y=4, that's the 4 that stands alone in the answer.

Answer:

The answer is sh50......