The waiter places a bowl of soup in front of Caesar. In a counterclockwise direction, he passes the soup to Jada who then passes it to Haifa. Which two rotations about the center of the table describe passing the soup?
Answers
Answer:
We choose answer C) First 150° and then 60°
Step-by-step explanation:
I think your question is missed of key information, allow me to add in and hope it will fit the original one. Please have a look at the attached photo.
The waiter places a bowl of soup in front of Caesar. In a counterclockwise direction, he passes the soup to Jada who then passes it to Haifa. Which two rotations about the center of the table describe passing the soup?
A) First 200° and then 80°
B) First 180° and then 72°
C) First 150° and then 60°
D) First 100° and then 40°
My answer:
From the photo, we can see that there are 12 people or 12 places in the circle. And each person has the same distance to other one.
Hence, we can find the the arch degrees between two members:
360 / 12 = 30 °
So from Caesar to Jada, we have to pass through 5 arches
=> the rotation counterclockwise in this situation is: 30 ° *5 = 150°
So from Jada to Haifa, we have to pass through 2 arches
=> the rotation counterclockwise in this situation is: 30 ° *2 = 60°
We choose answer C) First 150° and then 60°
Related Questions
At Wayne College, 3/4 of the students are enrolled in an art class. Of the students enrolled in an art class, 1/4 are enrolled in a painting class. What fraction of the students at Wayne College are enrolled in a painting class?
Answers
Walter had 2/4 yard of string. He used 3/6 of it on a school project. How much string did he use?
Answers
2/4 reduces to 1/2
3/6 reduces to 1/2
so he used 1/2 of 1/2 yard
1/2 * 1/2 = 1/4
he used 1/4 yard
[tex]\frac{2}{4} * \frac{3}{6} = \frac{6}{24}[/tex]
Simplify.
[tex]\frac{6}{24} = \frac{1}{4}[/tex]
So, 1/4 is the answer.
The longest straight line that can be drawn to connect two point on the circumference of a circle whose radius is 9 inches is
Answers
Answer:
18 inches.
Step-by-step explanation:
We can connect two points of a circle in many ways, as you can see in the picture below.
The longest straight line that you can draw to connect two points is the diameter, that is, the straight line that passes through the center of the circle.
If the circle has 9 inches of radius the diameter will be 9+9 = 18 inches.
How many toothpicks are used to create Figure 10? Describe how you found the answer.
Answers
58
35
31
27
23
19
15
11
7
3
Now add all these numbers and you should get a total of 229
2
4-(28 divided 7)+111
Answers
=4-(4)+111
=111 since 4 and -4 cancel each other out
If x = 49 , what is the value of x(x-10)
Answers
replace 49 for x so
x(x-10) becomes 49(49-10) =
49*39 = 1911
The net of square pyramid is shown below. What is the surface area of the pyramid ?
Answers
For the square, area is length times width.
8*8=64
For the triangles, area is bh/2
8*8/2=32
Since there are four triangles of the same area, multiply by 4.
32*4=128
Add these values
128+64=192 cm^2
Final answer: D
192
The Moon is about 240,000 miles from the Earth what is the distance written as a whole number multiplied by a power of 10
Answers
2,4 x 10^5
A cylindrical well is 25 meters deep and has a diameter of 1.8 meters. Approximately how many cubic meters of soil were dug out to make the well?
(Use π = 3.14.)
10.17 cubic meters
21.19 cubic meters
63.59 cubic meters
70.65 cubic meters
Answers
area=.81pi
.81pi times 25= about 63.59
Answer:
The answer is C. 63.59 cubic meters
Hope This Helps!
According to the chart, from 1976-1986, unintentional drug overdose deaths per 100,000 population stayed relatively stable. The numbers for each year are, roughly, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2. What is the mean of these statistics?
Answers
Answer: 1.09
Step-by-step explanation:
Given that according to a chart from 1976-1986, unintentional drug overdose deaths per 100,000 population stayed relatively stable.
The numbers for each year are, roughly, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2.
We know that mean =[tex]\frac{\text{sum of all data values}}{\text{number of data values}}[/tex]
[tex]\\\Rightarrow\text{Mean}=\frac{1+1+1+1+1+1+1+1+1+1+2}{11}\\=\frac{12}{11}=1.09[/tex]
Thus the means of these statistics= 1.09
(05.01)A company makes triangular plates for individual slices of pizza. For each plate, the base is 9 inches and the height is 14 inches. The area of the top of the plate is ____ inches squared.
Answers
Answer:
63
Step-by-step explanation:
Mr. Rifkin had 240 digital and manual cameras. After donating 82 digital cameras and 26 manual cameras, he had 3 times as many digital cameras as manual cameras left. How many digital cameras did he have first?
Answers
Mr. Rif-kin initially had 181 digital cameras.
Let's denote:
- [tex]\( x \)[/tex] as the initial number of digital cameras.
- [tex]\( y \)[/tex] as the initial number of manual cameras.
According to the given information:
1. Mr. Rif-kin had a total of 240 digital and manual cameras initially:
[tex]\[ x + y = 240 \][/tex]
2. After donating 82 digital cameras and 26 manual cameras, he had 3 times as many digital cameras as manual cameras left:
[tex]\[ (x - 82) = 3(y - 26) \][/tex]
We can set up a system of equations with these two equations and solve for [tex]\( x \)[/tex] and [tex]\( y \)[/tex].
1. From Equation 1:
[tex]\[ y = 240 - x \][/tex]
2. Substituting [tex]\( y \)[/tex] from Equation 1 into Equation 2:
[tex]$\begin{aligned} & x-82=3((240-x)-26) \\ & x-82=3(214-x) \\ & x-82=642-3 x \\ & 4 x=724 \\ & x=181\end{aligned}$[/tex]
Now that we have found [tex]\( x \)[/tex], we can find [tex]\( y \)[/tex] using Equation 1:
[tex]$\begin{aligned} & y=240-x \\ & y=240-181 \\ & y=59\end{aligned}$[/tex]
So, Mr. Rif-kin initially had [tex]\( 181 \)[/tex] digital cameras and [tex]\( 59 \)[/tex] manual cameras.
The complete question is here:
Mr. Rif-kin had 240 digital and manual cameras. After donating 82 digital cameras and 26 manual cameras, he had 3 times as many digital cameras as manual cameras left. How many digital cameras did he have at first?
which statement is always true about an isosceles triangle A.it has 1 right angle B.it has 2 congruent angles C.it has no sides that are congruent D.the sum of all 3 angles in 360 degrees
Answers
It has 2 congruent angles, is always true about an isosceles triangle
What is Isosceles Triangle?
A triangle with two equal sides is said to be isosceles. Also equal are the two angles that face the two equal sides. In other terms, an isosceles triangle is a triangle with two sides that are the same length.
Angles of Isosceles Triangle:Contrary to the equal sides, two of the isosceles triangle's three angles have equal measures. One of the angles is therefore not equal. Assume that if we are given the measure of an unequal angle, we can quickly determine the other two angles using the angle sum property.
Properties of Isosceles Triangle:Since this triangle's two sides are equal, the base of the triangle is the side that is not equal.
The triangle's two equal sides' opposing angles are always equal.
The vertex (topmost point) of an isosceles triangle is where the altitude of the triangle is calculated.
The third angle of a right isosceles triangle is 90 degrees.
Hence, the answer (b) it has 2 congruent angles
Learn more about the Isosceles Triangle here:
https://brainly.com/question/1475130
#SPJ2
How can the order of operations be used to simplify expressions?
Answers
This is because it tells you to solve the parentheses. If there is none, but you've already done this, you solve for exponents, etc.
The progressive soling of the equation not only makes it physically shorter, but also brings you closer to the answer.
Hope this helps, and I was the brainliest! :)
Antoine and Tess have a disagreement over how to compute a 15% gratuity on $46.00. Tess says, “It is easy to find 10% of 46 by moving the decimal point one place to the left to get $4.60. Do that twice. Then add the two amounts to get $4.60 + $4.60 = $9.20 for the 15% gratuity.”
Answers
Tess is correct about figuring 10% but he added 2 of them together which is like adding 10% +10% which is 20% not 15%.
he should have taken 1/2 of the 4.60 for 5% since 5 is half of 10
half of 4.60 = 2.30
then add that to the 4.60
4.60 +2.30 = 6.90 is 15%
Answer:Tess 20%
Step-by-step explanation:
What is the slope of a line that is perpendicular to the line whose equation is 7x−3y=107x−3y=10?
Answers
Therefore re-writing our expression in slope-intercept form we get:
7x-3y=10
-3y=-7x+10
y=7/3x-10/3
The slope=7/3
hence we conclude that the slope of the line perpendicular to this is -3/7
Use <,>,or = to compare 0.36 and 0.4.
Answers
0.36 < 0.4
You have a 5" by 7" photo that you would like to have enlarged to fit an 8" by 10" frame. Would the two photographs be similar? Explain
Answers
The two jar are geometrically similar.The height are 25cm and 10cm.The diameter of the larger jar is 7.5cm.Find the diameter of the smaller jar.
Answers
25/10 = 7.5/x
75/25x
x=75/25 = 3
diameter of smaller jar = 3 cm
Question 4(Multiple Choice Worth 5 points)
(05.03 MC)A graph is shown below:
A graph is shown. The values on the x axis are 0, 3, 6, 9, 12, and 15. The values on the y axis are 0, 9, 18, 27, 36, and 45. Points are shown on ordered pairs 0, 36 and 3, 27 and 6, 18 and 9, 9 and 12, 0. These points are connected by a line
What is the equation of the line in slope-intercept form?
y = 36x − 3
y = −3x + 36
y = −3x + 12
y = −12x + 3
Answers
Answer:
y = -3x + 36
Step-by-step explanation:
first let's start with a formula.
y = mx + b
m equals the slope and b equals the y intercept.
slope can also be indetified as a rate of change.
so, looking at the graph we can see that the y intercept is (0, 36) or 36 and the rate of change is 3 subtracted.
sorry if this is wrong im not too sure myself. and sorry this is 5 years late, but alas it's too late to turn back now since i have already wrote all this.
Why do some merchants, particularly smaller businesses, set a minimum purchase of $10 for any credit card transaction, or simply refuse to take any sort of bank card from consumers?
Answers
Answer:
Just look at the one above me
Step-by-step explanation:
A jacket costs $35 and has an 8 percent tax rate. Which expression will find the cost of the tax on the jacket
Answers
$35(8/100)
$280/100
$2.80
To do this, move the percent sign two places to the left and turn the percent sign into a decimal point.
8% = 0.08
There is a 8% tax on the jacket.
So, 0.08 * 35 is the expression you're looking for.
if PA=14 and PD=10 what is the length of PC
Answers
To find the length of PC when PA=14 and PD=10, apply the cosine rule formula in trigonometry.
The length of PC can be calculated using trigonometry and the given information.
Since PA=14 and PD=10, we can use the cosine rule to find the length of PC.Applying the cosine rule formula, PC = √(PA2 + PD2 - 2*PA*PD*cos(θ)).Calculate the length of PC by substituting the values: PC = √(142 + 102 - 2*14*10*cos(θ)).John read the first 114 pages of a novel, which was 3 pages less than 1/3 of the novel. Write an equation to determine the total number of pages (p) in the novel. And find the total number of pages in the novel
Answers
117 pages is 1/3 of the book
117×3= 251
So there are 251 pages in the novel.
Answer:
351
Step-by-step explanation:
If we add 3 pages to 114, we get a number that is [tex]\frac{1}{3}[/tex] the total number of pages in the novel (p). Thus, we can write:
[tex]114+3=\frac{1}{3}p[/tex]
Solving for p gives us the total number of pages in the novel. So:
[tex]114+3=\frac{1}{3}p\\117=\frac{1}{3}p\\p=\frac{117}{\frac{1}{3}}\\p=117*3=351[/tex]
Thus, total number of pages in the novel is 351.
Please help me!! find the solution of this system of equations -x + 5y=-18 5x - 9y= 10
Answers
-5x+25y=-90
5x-9y=10
16y=-80
y=-5
Plug this y value into one of the original equations.
-x+5(-5)=-18
-x-25=-18
-x=7
x=-7
Final answer: (-7,-5)
Which expression is equivalent to 6(14)? 6(10 + 4) 6(10 + 14) 6(1 + 40) 6(10 + 40)
Answers
What is the slope of a line that is perpendicular to the line whose equation is 8y−5x=118y−5x=11?
Answers
8y = 5x + 11
y = 5/8x + 11/8 has slope = 5/8
a line that is perpendicular to the line, slope is opposite and reciprocal so slope = - 8/5
answer
slope = -8/5
Answer:
The slope of a line that is perpendicular to the line whose equation is [tex]8y-5x=11[/tex] is [tex]m=-\frac{8}{5}[/tex]
Step-by-step explanation:
Given : Equation [tex]8y-5x=11[/tex]
To find : What is the slope of a line that is perpendicular to the line whose equation is given?
Solution :
First we find the slope of the given line,
The general slope form of line is [tex]y=mx+b[/tex] where m is the slope of the line and b is the y-intercept.
Re-write the given equation into general form,
[tex]8y-5x=11[/tex]
Take 5x to another side,
[tex]8y=5x+11[/tex]
Divide both side by 8,
[tex]y=\frac{5}{8}x+\frac{11}{8}[/tex]
On comparing with general form,
The slope of the line is [tex]m=\frac{5}{8}[/tex]
We know,
When two line are perpendicular one slope is negative reciprocal of another.
If the slope of line is [tex]m=\frac{5}{8}[/tex]
Then the slope of perpendicular line on this line is [tex]m=-\frac{8}{5}[/tex]
Therefore, The slope of a line that is perpendicular to the line whose equation is [tex]8y-5x=11[/tex] is [tex]m=-\frac{8}{5}[/tex]
NEED HELP ASAP DUE TOMORROW AND ITS REALLY LATE WHERE I AM
How much is Pete's 12% commission on $50,00 in sales
Answers
5000/100=50, and 50*12=600 dollars
A restaurant catered a party for 40 people. A child’s dinner (c) cost $11 and an adult’s dinner (a) cost $20. The total cost of the dinner was $728. How many children and adults were at the party? Use the table to guess and check.
8 children and 32 adults
9 children and 31 adults
10 children and 30 adults
12 children and 28 adults
Answers
a+c=40
c=40-a
11c +20a=728
11(40-a)+20a=728
440-11a +20a=728
440+9a=728
9a = 288
a=288/9 = 32
32 adults
8 children
20a + 11c = 728
Multiply equation # 1 by -11, then add the two equations together to clear the 'c' variable and solve for 'a'.
-11(a + c = 40)
20a + 11c = 728
-11a - 11c = -440
------------------------
9a = 288
Divide both sides by 9
a = 32
a + c = 40
32 + c = 40
subtract 32 from both sides
c = 8
8 children and 32 adults; option 1
The table shows the estimated number of deer living in a forest over a five-year period. Which type of function best models the data? Write an equation to model the data. Year Estimated Population 0 100 1 79 2 62 3 49 4 39
Answers
We are given the following data:
Year Estimated Population
0 100
1 79
2 62
3 49
4 39
Just by looking at the data we can see that the relationship of year and estimated population is not linear. The decrease in the population does not follow a linear path, that is:
79 – 100 is not equal to 62 – 79
-21 is not equal to -17
Therefore, the relationship must be exponential. Let us find the common ratio by dividing the population in year 1 and year 0:
common ratio, r = 79 / 100 = 0.79
This means that the population decreases by 21% every year.
So the model for this data can be written as:
yn = y0 * r^n
Where,
yn = is the population after n years
y0 = initial population
r = growth rate = decreasing
n = number of years