Answer:
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 2×2 = 450 could be used to find the side length, x, of the box needed to reach that volume.
Determine which statement is true about the solutions to the equation.
A.
The solutions are -30 and 30 but only 30 is a reasonable side length.
B.
The solutions are -30 and 30 and both are reasonable side lengths.
C.
The solutions are -15 and 15, but only 15 is a reasonable side length.
D.
The solutions are -15 and 15 and both are reasonable side lengths.
Answer:
The solutions are -15 and 15, but only 15 is a reasonable side length
Step-by-step explanation:
Because the side length cannot be a negative number
I hope this helps.Help me please! It’s timed
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
A - y = -2x + 40
B - y = 2x + 40
C y = 1/2x + 40
D - y=-1/2x +40
Answer:
c y=1/2x+40
because it's positive (up). /
Can someone help me with this
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
Can somebody Pls helpppp!!
Answer:
2
Step-by-step explanation:
The president of a small company
made $72,000 last year. She cut her
salary this year to $60,000 because
the company was not doing as well.
What was the percent decrease in
her salary to the nearest percent?
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]
Susan and Katie are running an ultra marathon. Susan averages 5 miles per hour. Katie averages 5.2
miles per hour. If Susan gets a 45 minute head start, then exactly how many hours after Katie begins
running will she catch up to Susan?
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!
Solve the following equation for x.
18 – 4.x = 10 - 2x
A x = -4
B) x = -1
C) x = 1
D) x =4
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
PLZ HELP!!! I HAVE AN EXAM!! Find cscΘ if sinΘ=[tex]\frac{-2}{7}[/tex] and theta is between 180 to 270 THANK U!!
(with explanation pls)
[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]
2. Dakota's hourly salary is $12. If Dakota
normally works 9 hours, but today works for only
4 hours, then how much money will Dakota make
today?
What is the value of x in the diagram?
2x+3
2x+2
Identify the angle between 0 and 360 degrees that is coterminal with the
following angle *
1155°
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
At the dance shoe store, they sell Tap, Point, and Ballet shoes. A pair of point shoes are double the price of ballet shoes. The tap shoes are $10 more than ballet shoes. If the total price of all the shoes is $648, how much is each shoe
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
Right triangle XYZ has right angle Z. If the sin(X)=1213
, what is the cos(X)
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].
1 3,000 600 2 1,600 40 3 640 32 4 3,048 381
Answer:
What?
Step-by-step explanation:
Is that a question?
A Department of transportation report about air travel that nationwide, 76% of all flights are on time. In a sample of 12 flights, what is the probability that 3 flights will be late?
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
What is the distance between P(-4, 3) and Q(6, 1)?
Round your answer to the nearest tenth
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
Which of the following equations is on the same path as x=2-3t, y=7-6t?
A. y=3-x
B. y=11+2x
C. y=3+2x
D. y=11-2x
E. y=3-2x
Which number is rational?
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!
PLEASE HELP How can you make different triangles with the same angle measures?
Form different triangles with angle measures 90°, 75°, and 15°
How can you make different triangles with the same angle measures?
O A. Make triangles with the same angle measures and the same side lengths
OB. It is not possible to make different triangles with the same angle measures.
OC. Make triangles with the same angle measures but different side lengths
OD. Make triangles with the same side lengths but different angle measures
Jim, Carla and Tomy are members of the same family. Carla is 5 years older than Jim. Tomy is 6 years older than Carla. The sum of their three ages is 31 years. How old is each one them?
We are given these three people age below:
Jim's ageCarla's ageTomy's ageWe 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.
Jim's age = xNext, Carla is 5 years older than Jim. That means if Carla is 5 years older, her age would be x+5.
Carla's age = x+5Then Tomy is 6 years older than Carla. That means the age would be 6+(x+5).
Tomy's age = 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.
Jim's age = x = 5Carla's age = x+5 = 5+5 = 10Tomy's age = 6+(x+5) = 6+(5+5) = 6+10 = 16.Answer
Jim's age = 5Carla's age = 10Tomy's age = 16What is the equation of the translated function, g(x), if
f(x) = x2?
g(x) = (x + 5)2 + 2
g(x) = (x + 2)2 + 5
g(x) = (x – 2)2 + 5
g(x) = (x – 5)2 + 2
Answer:
D
Step-by-step explanation:
g(x) = (x+4)^2 +6
Helppppp meeeeeeeeeeeee
Answer: B
Step-by-step explanation:
And also why do you have only 1 hour out of 16 to complete a test?
What is the sum of the polynomials below ? 3y^5-2y+8 2y^5 - 4y^3-7
Answer:
[tex](3 {y}^{5} - 2y + 8) + (2 {y}^{5} - {4y}^{3} - 7) \\ = 5 {y}^{5} - 4 {y}^{3} - 2y + 1[/tex]
Which of the following choices shows the proper use of the distributive property?
A. -2(6x - y) = -12x + 2y
B. -2(6x - y) = 12x + 2y
C. -2(6x - y) = 12x - 2y
D. -2(6x - y) = -12x - 2y
What’s the answer
someone pleeease help me asap !! thank you so much
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
Amber and Ruben play a game with one 6-sided die. Ruben gets a point if he rolls a prime number. Amber gets a point if she rolls a number that is a factor of 6. Is this game fair? Explain.
Answer:
Explain what?
Step-by-step explanation:
Describe how the data is dispersed in a box plot with the following data set: 25, 36, 21, 30, 20, 32, 38, 19, 36, 31, 26, 33, 27, 18, 24.
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:
consider the equation k over x equals 12 where k is any number between 20 and 65 and X is a positive integer what are the possible values for x
please help me!!!!!!!!!
Answer:
10 * 5 / 2 = 25 cm
Step-by-step explanation:
Hope this helps
Answer:
25 cm² is the answer ..... my sister
I have 2 more days to live what to do :(
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.
