A pizza parlor uses square prisms for their pizza boxes. Due to the crust rising, the height of their boxes is always 2 inches. Additionally, the volume of the pizza box must be 450 cubic inches to fit their standard-sized pizza. A worker determined that the equation 2x2 = 450 could be used to find the side length, x, of the box needed to reach that volume.

Answer:

Katie will catch up to Susan after running 33.4 h.

Step-by-step explanation:

We can find the time that takes Katie to catch up to Susan by using the following equation:

[tex] x_{f_{k}} = x_{0_{k}} + v_{0_{k}}t + \frac{1}{2}at^{2} [/tex]

Where:        

[tex] x_{f_{k}} [/tex]: is the final position of Katie

[tex] x_{0_{k}} [/tex]: is the initial position of Katie = 0

[tex] v_{0_{k}}[/tex]: is the initial speed of Katie = 5.2 mi/h

a: is the acceleration = 0 (she is moving at constant speed)

t: is the time

Since Katie will catch up to Susan, the final distance traveled by Katie will be equal to the final distance traveled by Susan.

[tex] x_{f_{s}} = x_{0_{s}} + v_{0_{s}}t + \frac{1}{2}at^{2} [/tex]

[tex] x_{0_{k}} + v_{0_{k}}t = x_{0_{s}} + v_{0_{s}}t [/tex]

Since Susan gets a 45 minutes head start, in that time she traveled the following distance:      

[tex] d = \frac{v}{t} = \frac{5 mi/h}{45 min*\frac{1 h}{60 min}} = 6.67 mi [/tex]

So, this will be the initial position of Susan.

[tex] 0 + v_{0_{k}}t = x_{0_{s}} + v_{0_{s}}t [/tex]

Hence, the time will be:

[tex] 5.2t = 6.67 + 5t [/tex]              

[tex] t = 33.4 h [/tex]                

Therefore, Katie will catch up to Susan after running 33.4 h.

I hope it helps you!            

Answer:

D) x = 4

Step-by-step explanation:

18 - 4x = 10 - 2x

10 - 2x = 18 - 4x

10 - 2x + 4x = 18 - 4x + 4x

10 + 2x = 18

10 - 10 + 2x = 18 - 10

2x = 8

2x ÷ 2 = 8 ÷ 2

x = 4

Answer:

D

Step-by-step explanation:

g(x) = (x+4)^2 +6

[tex]\boxed{\bold{\red{csc\theta=-\frac{7}{2}}}}[/tex]

[tex]\large{\red{Solution\: given:}}[/tex]

[tex] Sin\theta=\frac{-2}{7}[/tex]

we have

[tex]cosec \theta=\frac{1}{Sin\theta} =\frac{1}{\frac{-2}{7}}\\=-\frac{7}{2}[/tex]

Answer:

Step-by-step explanation:

like pythagorean theorem

Distance between ponints (x1,y1) and (x2,y2) is

D=

points are (-4,3) and (6,1)

D=

D=

D=

D=

D=

D=2√26

the distance is 2√26

Answer:

10 * 5 / 2 = 25 cm

Step-by-step explanation:

Hope this helps

Answer:

25 cm² is the answer ..... my sister

Answer:

17%

Step-by-step explanation:

Percent decrease

[tex] = \frac{72000 - 60000}{72000} \times 100 \\ \\ = \frac{12000}{72000} \times 100\\ \\ = \frac{1200000}{72000} \\ \\ = 16.67 \% \\ \\ \approx \: 17 \%[/tex]

Answer:

c y=1/2x+40

because it's positive (up). /

Answer:

option 2

Step-by-step explanation:

By repeatedly subtracting 360° from the given angle.

1155° - 360° = 795°

795° - 360° = 435°

435° - 360° = 75° ← coterminal angle

Answer:

2

Step-by-step explanation:

Answer:

1,3,5 it should be right because i have took that thing before

Step-by-step explanation:

Answer:The box plot for the data is attached in the image.

What is a box plot ?

A box plot is a graphical rendition of statistical data based on the minimum, first quartile, median, third quartile, and maximum.

The term "box plot" comes from the fact that the graph looks like a rectangle with lines extending from the top and bottom.

The minimum is the lowest number in the data set.

18

The median is the middle number.

27

The first quartile (Q1) is the median of the lower half of data which lies at 25% of the data.

The third quartile (Q3) is the median of the upper half of data which lies at 75% of the data.

The maximum is the highest number in the data set; it is 38

This is what a typical box plot looks like and it is attached in the image.

To know more about box plot

brainly.com/question/1523909

#SPJ2

Step-by-step explanation:

Answer:

71.21 in³

Step-by-step explanation:

Seeing as these two objects don't have anything extra on them, we can assume that we just have to add up the two separate volumes of the sphere and cylinder to get the total object's volume.

The volume of a sphere is (4/3)πr³, so we plug 2 in for the radius, r, and get approximately 33.51.

The volume of a cylinder is πr²h, so we plug 3 in for the height and 2 in for the radius (4 inches is the diameter, and the radius is half of that) to get approximately 37.70

Add our two volumes up to get 71.21 in³ as our answer

Answer:

a pair of Tap shoes costs $169.50

a pair of Point shoes costs $319.00

a pair of Ballet shoes costs $159.50

Step-by-step explanation:

first tell your teacher, that the problem description is misleading.

as a shoe store has more than one pair per type. so, "all the shoes" would mean all the sites in the store. but that is for sure not meant here.

what your teacher hopefully meant was that the total price of buying one pair of each of the shoe types is $648.

and your teacher was hopefully asking for the price of pairs of shoes, and not actually single shoes.

my solution bases on these assumptions.

so, we got Tap (t), Point (p) and Ballet (b) shoes.

buying one pair each is

t + p + b = 648

now we know some other information.

p = 2×b (Point shoes are double the price of Ballet shoes)

t = b + 10 (Tap $10 more than Ballet)

so, we can replace t and p by expressions of b and get

b + 10 + 2×b + b = 648

4×b + 10 = 648

4×b = 638

b = 159.50

p = 2×159.50 = 319.00

t = 159.50 + 10 = 169.50

Answer:

The probability of 3 flights are late is 0.25.

Step-by-step explanation:

Total number of flights = 12

Flights on time = 76 % = 0.76 x 12 = 9.12 = 9

flights which are late = 24 % = 0.24 x 12 = 2.88 = 3

The probability of 3 flights are late is

P = 3/12= 1/4 =  0.25  

Answer:

I would say, spend time with your family and friends and get ready for the time, I'm so sorry that this is happening to you and i hope you had an amazing life.

Answer:

[tex](3 {y}^{5} - 2y + 8) + (2 {y}^{5} - {4y}^{3} - 7) \\ = 5 {y}^{5} - 4 {y}^{3} - 2y + 1[/tex]

Answer:

Option D, [tex]\sqrt{16}[/tex], since the answer is 4 which is a rational number considering that it's a whole number

Hope this helps!

Answer:

Explain what?

Step-by-step explanation:

We are given these three people age below:

We define the age of Jim as any variable, because the problem doesn't give any specific age. I will define Jim's age as x.

Next, Carla is 5 years older than Jim. That means if Carla is 5 years older, her age would be x+5.

Then Tomy is 6 years older than Carla. That means the age would be 6+(x+5).

The sum of their three ages is 31 years old. That means we add all these ages and equal to 31.

[tex] \large{x + x + 5 + 6 + x + 5 = 31}[/tex]

Combine like terms and solve for x.

[tex] \large{3x + 16 = 31} \\ \large{3x = 31 - 16} \\ \large{3x = 15} \\ \large{x = 5}[/tex]

Then we substitute the value of x in ages to find these three people ages.

Answer

Answer: B

Step-by-step explanation:

And also why do you have only 1 hour out of 16 to complete a test?

Answer:

x=36.08

Step-by-step explanation:

Given: From the given triangle DEF, ∠E=[tex]90^{0}[/tex]

DF=55

and DE= x

To find the value of x

According to trigonometry rule,

[tex]\frac{x}{55} =cos49^{0} \\x=55(cos 49^{0} )\\x=55(0.656)\\x=36.08[/tex]

Therefore, the value of x will be 36.08

Given:

Right triangle XYZ has right angle Z.

[tex]\sin(x)=\dfrac{12}{13}[/tex]

To find:

The value of [tex]\cos x[/tex].

Solution:

We know that,

[tex]\sin^2(x)+\cos^2(x)=1[/tex]

[tex]\cos^2(x)=1-\sin^2(x)[/tex]

[tex]\cos(x)=\pm\sqrt{1-\sin^2x}[/tex]

For a triangle, all trigonometric ratios are positive. So,

[tex]\cos(x)=\sqrt{1-\sin^2x}[/tex]

It is given that [tex]\sin(x)=\dfrac{12}{13}[/tex]. After substituting this value in the above equation, we get

[tex]\cos(x)=\sqrt{1-(\dfrac{12}{13})^2}[/tex]

[tex]\cos(x)=\sqrt{1-\dfrac{144}{169}}[/tex]

[tex]\cos(x)=\sqrt{\dfrac{169-144}{169}}[/tex]

[tex]\cos(x)=\sqrt{\dfrac{25}{169}}[/tex]

On further simplification, we get

[tex]\cos(x)=\dfrac{\sqrt{25}}{\sqrt{169}}[/tex]

[tex]\cos(x)=\dfrac{5}{13}[/tex]

Therefore, the required value is [tex]\cos(x)=\dfrac{5}{13}[/tex].

Answer:

Step-by-step explanation:

coordinate points are:

(1,0) , (2,-2) , (0,2) , (-1,0) , (-2,-2)

range = y coordinate

domain = x coorinate

so domain will be {1,2,0,-1,-2}

range will be {0,,2,-2}

Note : Repeated values within the domain or range don't have to be listed more than once.

Answer:[tex]\color{yellow}{}[/tex]

Coordinate number are:

(1, 0), (2, -2), (0, 2), (-1, 0), (-2,-2)

»»Range = y coordinate

»»Domain = x coordinate

»»So domain will be {1, 2, 0, -1, -2}

Range will be {0, 2, -2

Answer:

What?

Step-by-step explanation:

Is that a question?