The wedge is one-eighth of the wheel of cheese. A cylindrical-shaped wheel of cheese has a radius of 3 inches and height of 1 inch. A wedge of cheese is sliced from the whole. a. Find the surface area of the cheese before it is cut, round to the nearest hundredth. The surface area of the cheese before it is cut is in. $^2$ . b. Find the surface area of the remaining cheese after the wedge is removed, round to the nearest hundredth. The surface area of the remaining cheese after the wedge is removed is about square inches. Question 2 Did the surface area increase, decrease, or remain the same
Answer:
1. a. 75.39 in² b. 65.97 in²
2. Decreased
Step-by-step explanation:
1.
a. Find the surface area of the cheese before it is cut, round to the nearest hundredth.
Since the cheese is a cylinder with radius, r = 3 inches and height, h = 1 inch, its tital surface area, A = 2πr(r + h)
Substituting the values of the variables into the equation, we have
A = 2πr(r + h)
A = 2π(3 in)(3 in + 1 in)
A = (6π in)(4 in)
A = 24π in²
A = 75.39 in²
b. Find the surface area of the remaining cheese after the wedge is removed, round to the nearest hundredth.
Since the area of the wedge, A' is one-eight the area of the cheese, A
A'= A/8
= 75.39 in²/8
= 9.42 in²
The area of the remaining cheese is thus, area of cheese - area of wedge = A - A' = 75.39 in² - 9.42 in² = 65.97 in²
Question 2 - Did the surface area increase, decrease, or remain the same
Since the area of the remaining cheese, A' = 65.97 in² < A = 75.39 in², area of original cheese, the surface area decreased.
You are conducting a study of three types of feed supplements for cattle to test their effectiveness in producing weight gain among calves whose feed includes one of the supplements. You have four groups of 30 calves (one is a control group receiving the usual feed, but no supplement). You will conduct a one-way ANOVA after one year to see if there are difference in the mean weight for the four groups. What is k for this experiment?
a. 3
b. 30
c. 4
d. 120
Answer:
since we have four groups, the number of population k = 4
Option C. 4 is the correct answer
Step-by-step explanation:
Given the data in the question;
Number of group k = 4
the number of cases in each group = 30
so
n = 4 × 30
n = 120
SS_total = df = n - 1
= 120 - 1
= 199
SS_between = k - 1
= 4 - 1
= 3
since we have four groups, the number of population k = 4
Option C. 4 is the correct answer
Someone please help me answer this!!
Answer:
b = 9cm is the answer.
Step-by-step explanation:
a = 12cm
b = ?
c = 15cm
By using the Pythagoras theorem,
a² + b² = c²
12² + b² = 15²
144 + b² = 225
b² = 225 - 144
b² = 81
b = 9cm.
∴ b = 9cm is the length of the missing leg.
Select the correct an
Sally rents a life jacket for a one-time fee of $5. She then
rents a canoe for $15 per hour. Which expression
represents the total cost, in dollars, to rent the life jacket
and the canoe for h hours?
A. 5+15h
OB. 10h
C. 15+5h
OD. 20h
Answer: The answer for this question is "A": 5 + 15h
Given the data set, calculate the range and the mode:
{9, 3, 1, 8, 3, 6}
Find the mean of the data
Answer:
The mean of the data is 3237888
Step-by-step explanation:
12*16*8*31*28*17(Don't include 0)
22665216/7 (The number of days)
3237888(Answer)
Tell me if you have any questions. :)
Answer:
The mean is 16
Step-by-step explanation:
Add all the values together to get 112.
12 + 16 + 0 + 8 + 31 + 28 + 17
= 112.
To find the mean, divide the sum by how many values we added.
We added 7 values, including 0.
112 ÷ 7 =
16. <--- the mean
Chloe flips a fair coin 2 times. What is the probability that she will flip tails both times?
Answer:
25%
Step-by-step explanation:
If you flip a coin twice, sometimes you get tails twice in a row. That is because each time you flip the coin, the odds remain 1/2; the two flips are independent of each other. The odds of getting tails twice in a row are 1/2 * 1/2 = 1/4. So 25% of the time you'll get heads twice in a row
add;200g+0.04kg=-----------dag
It's 200.04 dag
blah blah
Answer:
0.240kg
Step-by-step explanation:
the reason for this is because my teacher taught me this:
KHDMDCM
L
G
so you would go grams to kilograms and then you would find your answer because 200. +0.04 was the original equation correct so you would move the decimal in 200. back 3 times were you converted it to kilograms and the you would add so what your new equation is 0.200+0.04=0.240kg
A banner measures 5.4 feet long. How long does the banner measure in inches and yards?
Answer:
64.8 and 1.8
Step-by-step explanation:
The banner measure inches in yards are 64.8 and 1.8.
We have given that,
We have to determine the length does the banner measure in inches and yards.
What is the meaning of inches and yards?
An inch is a unit of length in the British imperial and the United States customary systems of measurement. It is equal to 136 yard or 112 of a foot.
Therefore we get the banner measure inches in yards are 64.8 and 1.8.
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Someone please help! I dont understand
Answer:
i willl help on all three if u help on my chemistry problems
Josue owns a small business selling bagels. He knows that in the last week 80
customers paid cash, 45 customers used a debit card, and 4 customers used a credit
card.
Based on these results, express the probability that the next customer will pay with
cash as a decimal to the nearest hundredth.
Answer: 0.62
Step-by-step explanation: I got the answer
The probability that the next customer will pay with cash is 0.62
What is probability?"It is finding out the possibilities of the occurrence of an event."
Formula to find the probability of an event:"P(A) = n(A) / n(S)
where, n(A) is the number of favorable outcomes of an event A
n(S) is the total number of outcomes for an experiment"
For given example,
in the last week 80 customers paid cash, 45 customers used a debit card, and 4 customers used a credit card.
So, the total number of customers:
⇒ n(S) = 80 + 45 + 4
⇒ n(S) = 129
Let event A: the next customer will pay with cash
n(A) = 80
So, the probability that the next customer will pay with cash would be,
⇒ P(A) = n(A)/n(S)
⇒ P(A) = 80/129
⇒ P(A) = 0.62
Therefore, the probability that the next customer will pay with cash is 0.62
Learn more about the probability here:
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Rectangular prism l 2/3, h 3/5 w 4/7 what is volume?
Answer:
Step-by-step explanation:
volume= width X height X length
volume= 4/7 X 3/5 X 2/3
volume= 0.23
The mass of two balls is .80 kg each and they are separated by a distance of 0.25
meters. Calculate the gravitational force between the two balls.
Answer:
[tex]F=6.83\times 10^{-10}\ N[/tex]
Step-by-step explanation:
Given that,
The masses of two balls = 0.8 kg
The distance between masses = 0.25 m
We need to find the gravitational force between the two balls. The formula for the gravitational force is given by :
[tex]F=G\dfrac{m_1m_2}{r^2}\\\\F=6.67\times 10^{-11}\times \dfrac{0.8^2}{(0.25)^2}\\\\F=6.83\times 10^{-10}\ N[/tex]
So, the force between the balls is equal to [tex]6.83\times 10^{-10}\ N[/tex].
This is a picture of a cube and the net for the cube what is the surface area of the cube 196cm 504cm 1176cm 2744cm
Answer:
The answer is the third one, 1,176
Step-by-step explanation:
A survey of 500 randomly selected people who commute to Manhattan for work showed that
187 of them used public transportation. An estimated 108,000 people commute to Manhattan
every workday.
1. How many commuters use public transportation?
Answer:
187
Step-by-step explanation:
A four-sided backyard is in the shape of a parallelogram and has two adjacent sides both with lengths of 30 feet. Which of the following must be true about the shape of the backyard?
Answer:
The question is uncomplete.
Step-by-step explanation:
Sorry but after you said
"which of the following must be true about the shape of the backyard." you didn't list possibilities after that. sorry
The statement that is true about the shape of the backyard is that: it is a rhombus.
What is a Rhombus?A rhombus is a quadrilateral whose adjacent sides have equal lengths, that is, they are congruent.
Thus, since the four-sdied backyard is in the shape of a parallelogram and also has two adjacent sides that are congruent (30 ft each), then it is a rhombus.
Therefore, the statement that is true about the shape of the backyard is that: it is a rhombus.
Learn more about rhombus on:
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Mitchell went apple picking with the students in his art club. The line plot below shows the number of apples each student collected. Each X represents one student. Which statement about the data is true?
A
Most of the students collected 12 apples.
B
The median number of apples collected was 11.
C
The mean number of apples collected was 11.33.
D
The interquartile range of the number of apples collected was 2.5.
Answer:
A. Most of the students collected 12 apples.
Step-by-step explanation:
The line plotted on the graph is demonstrating the 12 apples picked from the club. The students are on the y-axis since they are independent and apples are placed on the x axis. The line is intersecting the points on x-axis. There is average collection of 12 apples by each student.
PLEASE HELP ME!!!! PLEASE HELP QUICK ILL GIVE U 73 POINTS PLS HELP
Answer:
3
Step-by-step explanation:
In this problem we need to kind of write the picture into an equation so the first thing we see are 4 xs on the far left-hand side this is representing "4x" then we see 5 - blocks on the right which represents "-5" because we have 5 minuses then on the other side we see 7 + blocks which represent just "7". After we identify everything in the picture we can write an equation so 4x -5 = 7. Then we solve so we need to separate x on one side and all the other numbers to the other to do that we can move the -5 to the side the 7 is on and because of math when we move a number to another side of the equation we have to switch the sign it has so if it was -5 then on the other side it would be 5 then we add 7 to 5 which would equal 12. Then we are left with 4x = 12 and to keep x on its own side we need to divide 4 from the other side because it is multiplying on the x side and again we need to switch the sign. then we are left with x=3. Hope this helps!
Which segment is the MEDIAN of the triangle?
Answer:
R
Step-by-step explanation:
5. A football stadium has 81.296
seats. Then the stadium's owner
adds 10.795 seats. What is the
new total number of seats?
Answer:
92.091
Step-by-step explanation:
81+10=91
.296
+
.795
_____
1.091
So: 91+1.095=92.091
HELP, ME PLEASE LOOK AT THE PHOTO TRUE OR FALSE
Answer:
The answer is false. 2 is not congruent to 5.
Honestly, someone has a different answer but they have a whole paragraph so I think you should listen to what they say.
Answer:
True
Step-by-step explanation:
Same-side exterior angle converse theorem states that if two lines are intersected by a transversal and the same-side exterior angle are congruent, then the two lines are parallel. One can apply this theorem to the given case, and thus lines A and B are parallel.
Solve 24y + 0.2 = 29.6
Answer:
[tex]y=1.225[/tex]
Step-by-step explanation:
[tex]24y+0.2=29.6[/tex]
Subtract 0.2 from both sides:
[tex]24y+0.2-0.2=29.6-0.2\\24y=29.4[/tex]
Divide both sides by 24:
[tex]\frac{24y}{24} =\frac{29.4}{24} \\y = 1.225[/tex]
y = 1.225 is your final answer.
A woman sold an article for $1400.00 and made a profit 25%. Find the cost price and the profit
Answer:
$1120 and $280.
Step-by-step explanation:
$1400 = 125%
100% = $1120
The cost of the price was $1120.
$1400 - $1120 = $280.
The profit was $280.
Hope this helps!
Subtract 14y + 375 from 8(2y − 1)
Answer:
2y + 367
Step-by-step explanation:
8(2y - 1) - 14y + 375
16y - 8 - 14y + 375
2y + 367
Can I get answer please
In the figure above, if l ll m and r ll s, what is the value of x?
A) 65
B) 80
C) 85
D) 95
E) 115
Check the photo and please show the steps
Answer:
C x= 85°
Step-by-step explanation:
x+ 60° + 35° =180°
x= 180° - 60° - 35°
x= 85°
Greg is pouring an entire gallon of milk in 10 glasses. What part of a gallon will be in each glass?
Answer:
[tex]\frac{1}{10}[/tex]
Step-by-step explanation:
→ Divide the gallon by the number of glasses
[tex]\frac{1}{10}[/tex]
PLEASE ANSWER THE QUESTION IN THE PICTURE BELOW
Answer:
35 cm^3
Step-by-step explanation:
the area is 35 hoped that helped
The line of best fit for a set of data is y = 19.3232 – 0.7334x. What is the approximate x-value where the y-value is 15.654
Answer:
The answer should be 5.003, you can round if you want to 5
Step-by-step explanation:
Select the correct comparison.
Set A
Set B