Answer:
A. The surface area of the cheese is 24·π in.² or 75.40 in.²
B. The surface area of the remaining cheese after the wedge is removed is about 72 in.²
2. The surface area decreased
Step-by-step explanation:
From the figure attached to a similar question, we have;
Radius, r of cheese = 3 in.
Height, h of the cheese = 1 in.
A. The surface area of the cheese is equal to the area of two circles, one on top and the other underneath added to the surface area of the sides which is equivalent to the surface area of a cylinder given by the relation
Surface area of the cheese = 2×π×r² + 2×π×r×h
∴ Surface area of the cheese = 2×π×3² + 2×π×3×1 = 24·π in.²
Surface area of the cheese = 24·π = 75.398 ≈ 75.40 in.² to the nearest 10th
B. The surface area of the remaining cheese after the wedge is removed is found by first subtracting the cut wedge from the total surface area as follow
Outer surface area of cut wedge = 24·π÷8 = 3·π
New outer surface area = Total surface area - Removed outer surface area
∴ New outer surface area = 24·π - 3·π = 21·π
New total surface area = New outer surface area + Area of newly exposed segment
Area of newly exposed segment = 3 × 1 × 2 = 6 in.²
∴ New total surface area = (21·π + 6) in.² = 71.9734 in.² ≈ 72 in.²
The surface area of the remaining cheese after the wedge is removed is about 72 in.²
2. The surface area decreased.
Answer:
A. The surface area of the cheese is 24·π in.² or 75.4 in.² B. The surface area of the remaining cheese after the wedge is removed is about 72 in.² 2. The surface area decreased
Step-by-step explanation:
It's 75.4 instead of 75.40, thank me please.
In the right triangle shown, m∠A=30°m, AB = 12\sqrt{3}AB=12
How long is AC?
The correct length of AC is 18
Hiii I need help in this Plzzz helppp
Round these numbers to the nearest hundredth.
1)1.43
2)1.25
3)0.38
To round to the nearest hundredth, look at the third value to the right of the decimal point.
For instance, if there is a value 7.829, it would be rounded to 7.83, because 9 rounds up to 10. If the value was instead 7.821, it would be rounded to 7.82, because 1 rounds to 0.
However, the values listed are already rounded to the nearest hundredth, so no more work is required.
Answer:
No rounded needed.
Step-by-step explanation:
A
Put these numbers into standard form
1. 6 000
2.400
3. 80 000
4. 9000
5. 400 000
6. 4000
7. 450
8. 55 000
9. 350
10.750 000
Answer:
Step-by-step explanation:
1) 6*10³
2) 4*10²
3) 8*10⁴
4)9000 = 9*10³
5) 400,000 = 4 *10⁵
6)4000 = 4*10³
7) 450 = 4.5 * 10²
8) 55 000 = 5.5*10⁴
9) 350 = 3.5*10²
10) 750 000 = 7.5*10⁵
Jorge wants to find the most popular way for teens to volunteer in the community. He cannot decide between two methods.
Option 1: He will ask every fifth person on each English class roster.
Option 2: He will attend a walkathon to ask teen participants about the ways they volunteer.
Which statement about the methods is true?
Answer
option 2
Step-by-step explanation:
Answer:
option 2
Step-by-step explanation:
just did the test aye
Which system of equations has an infinite number of solutions?
A. 2x – 6y = 18
x – y = 9
B. 2x – 6y = 18
x + 3y = 9
C. 2x – 6y = 18
x – 3y = 9
Answer:
we choose C
Step-by-step explanation:
We need to understand an infinite number of solutions happens when all numbers are solutions. This situation means that there is no one solution.
So let analyse 3 options:
A.
2x – 6y = 18 (1) x – y = 9 <=> y = x -9 (2)Substitute (2) in (1) we have:
2x – 6(x - 9) = 18
<=> -4x + 54 = 18
<=> x = 9
=> y = 0
There is only 1 solution => A is wrong
B.
2x – 6y = 18 <=> x = 9 + 3y (1) x + 3y = 9 (2)Substitute (1) in (2) we have:
(9+ 3y) + 3y = 9
<=> 3y = 0
<=> y = 0
=> x = 9
There is only 1 solution => B is wrong
C.
2x – 6y = 18 (1)
x – 3y = 9 <=> x = 9+ 3y (2)
Substitute (2) in (1) we have:
2(9+3y) - 6y = 18
<=> 18 + 6y - 6y = 18
<=> 18=18
Yes, this system of equations has an infinite number of solutions
So we choose C
Final answer:
The system of equations with an infinite number of solutions is when one equation is a multiple of the other, which results in the same line and infinite solutions.
Explanation:
The system of equations that has an infinite number of solutions is:
A. 2x – 6y = 18
x – y = 9
To determine this, we notice that the second equation x - y = 9 is a multiple of the first equation 2x - 6y = 18. Since one equation is a multiple of the other, these equations represent the same line, leading to an infinite number of solutions.
Margie is planning a dinner banquet. The equation
C=750+42g models the relation between the cost in dollars,
C, of the banquet and the number of guests,
g. Interpret the slope of the equation.
Answer:
The slope, 42, means that for each additional guest the cost of the banquet increases by 42 dollars.
Step-by-step explanation:
The slope of the equation given stands for the rate at which the cost is increasing for each additional guest at the banquet, in this case, $42 per guest.
Explanation:In the equation C=750+42g, the slope is represented by the number 42. In the context of this problem, it is the cost per guest for the banquet. Meaning, for each additional guest (g), the total cost (C) of the banquet increases by $42. Therefore, the slope 42 signifies the rate at which the total cost of the banquet will increase per additional guest.
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2x-7=13 what is answer
Answer:
x = 10
Step-by-step explanation:
2x-7=13
2x = 20 (Add 7 to both sides)
x = 10 (Divide by 2 on both sides)
Answer:
10
Step-by-step explanation:
2x - 7 = 13
2x = 13+7 = 20
x = 20/2 = 10
What is the sum? StartFraction 3 y Over y squared + 7 y + 10 EndFraction + StartFraction 2 Over y + 2 EndFraction StartFraction 5 Over y minus 5 EndFraction StartFraction 5 (y + 2) Over (y minus 2) (y + 5) EndFraction StartFraction 5 Over y + 5 EndFraction StartFraction 5 (y minus 2) Over (y minus 5) (y + 2) EndFraction
Answer:
the answer is 5/y+5
Step-by-step explanation:
Answer:
its c on edge
Step-by-step explanation:
i know
what solution is y=x+6 and 3x-3y=18
Answer:
0
Step-by-step explanation:
Substituting y into equation 2...
3x - 3(x + 6) = 18
3x -3x -18 = 18
3x - 3x = 18 - 18
0 = 0
A restaurant has 4 appetizers, 5 entrees and 2 desserts. How many different meal combinations could you order?
Step-by-step explanation:
1.) Firstly, you need to count out how many things there are. 4 app, 5 entrees, 2 desserts. This makes 11 different things
2.) for 11 numbers there can be 9 ways for each number for 1st nine places since 0 can't be the fist figure and next two are reciprocated from 10 numbers. Therefore 10!/2!
3.)So 99 combinations have 10!/2! Permutations hence total ways are 99*10!/2!
Last year, Jane opened an investment account with 5500 . At the end of the year, the amount in the account had increased by 7.8%. How much is this increase in dollars? How much money was in her account at the end of last year? Increase in amount: Year-end amount:
Answer:
429 increase
5929 end of year
Step-by-step explanation:
simply do 5500 times 1.078 to get 5929 as ur total subtract 5500 to tet your increase of 429
The answer is 429.also the amount is 439
Please answer I rlly need this☺️☺️
Answer:
I will answer two of them so you can get the understanding here
Substitute the number into the equation
10. t/7 = 1 , when t = 7
Replace t in the equation with 7
7/7 = 1
The equation makes sense, t=7 is a solution
13. 84 = 7y , when y = 12
Replace y in the equation with 12
84 = 7 * 12
84 = 84
The equation makes sense, y=12 is a solution
Help with my homework. Please.
Answer:
Step-by-step explanation: since average speed = total distance/time
a)average speed of the journey from my home town to A = 10 miles/20 minutes = 0.5
b)journey from my home town to B = 20 miles/30 minutes = 0.7
c)10 miles + 20 miles = 30 miles
which takes 50 minutes
so: 30 miles/50 minutes = 0.6
You want to take group fitness classes at a nearby gym, but needs to start by selecting a membership plan. With the first membership plan, you can pay $20 per month, plus a $60 signing fee. With the second membership plan, you can pay $40 per month plus no signing fee. At what number of months will both plans cost the same amount?
Answer:
after 3 months, both plans cost the same amount
Step-by-step explanation:
Let x is the number of monthsLet y is the total costGiven the following information:
Plan 1: pay $20 per month, plus a $60 signing fee
=> the equation for this plan is:
y1 = 20x+60
Plan 2: pay $40 per month plus no signing fee
=> the equation for this plan is:
y2 = 40x
To find number of months will both plans cost the same amount, we need to set the equation of plan 1 = equation of plan 2
<=> y1 = y2
<=> 20x+60 = 40x
<=> 20x = 60
<=> x = 3
So after 3 months, both plans cost the same amount
Q. Which equation best represents the relationship between x and y in
the graph?
Answer:
y = -2x + 4
Step-by-step explanation:
(0, 4) represents your y-intercept.
50 POINTS! :D
One car traveled 120 miles and drove 10 mph hour faster than a second car drove 100 miles. If the cars were travelling for the same time, how fast was the first car travelling?
90 mph
50 mph
60 mph
80 mph
The speed of the first car is 60mph.
What is multiplication?Multiplication is a mathematical arithmetic operation. It is also a process of adding the same types of expression for some number of times.
Example - 2 × 3 means 2 is added three times, or 3 is added 2 times.
Given:
One car traveled 120 miles and drove 10 mph hour faster than a second car drove 100 miles.
Let n be the speed of the first car.
And the n + 10 be the speed of second car.
And t be the time take by both of the cars.
According to the question,
120 / n = 100 / n+10
Using cross multiplication,
20n = 1200
n = 1200 / 20
n = 60
Therefore, the value of n is 60mph.
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4/3 x −4 = 5 + x Help me please!
A) 0.5
B) 2
C) 18
D) 27
Answer:
The answer is D.
Step-by-step explanation:
4/3 x - 4 = 5 + x
4/3 x = 9 +x
1/3 x = 9
x = 27
The length of a field, 1.2 km long is represented on a map by a line 40mm long. What is the scale of the map
Final answer:
The scale of the map is 1:30,000.
Explanation:
The scale of a map represents the relationship between the distance on the map and the corresponding distance on the Earth's surface. To find the scale of the map, we need to determine the ratio between the length of the field on the map and its actual length. In this case, the length of the field is 1.2 km, which is represented on the map by a line that is 40 mm long.
To calculate the scale, we can use the formula:
Scale = Actual length on the ground / Length on the map
Substituting the values, we get:
Scale = 1.2 km / 40 mm
First, we need to convert the length on the map to the same unit as the actual length. Since 1 km = 1,000,000 mm, we can convert mm to km by multiplying by 1/1,000,000:
Length on the map in km = 40 mm × (1 km / 1,000,000 mm) = 0.00004 km
Now we can calculate the scale:
Scale = 1.2 km / 0.00004 km = 30,000
Therefore, the scale of the map is 1:30,000.
The data set below has 6 values.
Find the mean absolute deviation for the data set.
If necessary, round your answer to the nearest hundredth.
8, 6, 6, 18, 17, 11
Calculate the mean of the data set, find the absolute deviation of each data point, and then average those deviations. For this data set, the mean absolute deviation is 4.33.
Explanation:To start off with, the mean absolute deviation is a measure of the dispersion or spread that represents the average difference between the values of the data set and the mean (average).
First, add up all the numbers of the data set. So, 8 + 6 + 6 + 18 + 17 + 11 = 66. Then divide this sum by the number of values (6) to calculate the mean (average). So, 66 ÷ 6 = 11.
Next, find the absolute deviation of each number in the set by subtracting the mean from each number and taking absolute value: |8-11|, |6-11|, |6-11|, |18-11|, |17-11|, |11-11|. This gives us: 3, 5, 5, 7, 6, 0.
Add these absolute deviations: 3 + 5 + 5 + 7 + 6 + 0 = 26. Then divide it by the count of the numbers in the data set (6). So, 26 ÷ 6 = 4.33, which is your mean absolute deviation to two decimal places.
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Final answer:
To find the mean absolute deviation for the data set 8, 6, 6, 18, 17, 11, you first calculate the mean of these numbers, then find the absolute deviations from this mean, and finally calculate the mean of those absolute deviations, which is approximately 4.33.
Explanation:
The student is asking how to find the mean absolute deviation (MAD) for a data set. The data set provided is 8, 6, 6, 18, 17, 11. To calculate the MAD, we first need to find the mean of the data set, then calculate the absolute deviation of each data value from the mean, and finally find the average of those absolute deviations.
Calculate the mean of the data set: (8 + 6 + 6 + 18 + 17 + 11) / 6 = 66 / 6 = 11.
Find the absolute deviation of each data value from the mean: |8 - 11| = 3, |6 - 11| = 5, |6 - 11| = 5, |18 - 11| = 7, |17 - 11| = 6, |11 - 11| = 0.
Calculate the mean of these absolute deviations: (3 + 5 + 5 + 7 + 6 + 0) / 6 = 26 / 6 = 4.33.
Hence, the mean absolute deviation for this data set is approximately 4.33.
You are picking out an outfit. Which of the following options shows a closet with 36 different possible combinations of outfits? Select all that apply. A) 9 shirts, 2 jeans, 2 hats B) 6 shirts, 3 jeans, 2 hats C) 4 shirts, 3 jeans, 3 jackets D) 12 shirts, 2 shorts, 2 hats E) 6 shirts, 6 jeans, 2 hats
Answer:
The answer would be A, B, and C.
Step-by-step explanation:
You multiply all of the numbers, and they should sum up to your answer.
Final answer:
The options that show a closet with 36 different possible combinations of outfits are Option A (9 shirts, 2 jeans, 2 hats) and Option B (6 shirts, 3 jeans, 2 hats), as both of these options result in exactly 36 combinations when multiplied together.
Explanation:
You are looking for the combination of clothes in the closet that yields exactly 36 different possible outfit combinations. To calculate the number of combinations we can use the principle of multiplication. We multiply the number of choices for each piece of clothing to get the total number of combinations.
Option A: 9 shirts × 2 jeans × 2 hats = 36 combinations
Option B: 6 shirts × 3 jeans × 2 hats = 36 combinations
Option C: 4 shirts × 3 jeans × 3 jackets = 36 combinations (Incorrect, as this results in 36, not 36)
Option D: 12 shirts × 2 shorts × 2 hats = 48 combinations (Incorrect, as this results in 48, not 36)
Option E: 6 shirts × 6 jeans × 2 hats = 72 combinations (Incorrect, as this results in 72, not 36)
Therefore, the correct options that show a closet with 36 different possible combinations of outfits are Option A: 9 shirts, 2 jeans, 2 hats and Option B: 6 shirts, 3 jeans, 2 hats.
Add 49 to the quotient of 125 and 5
Answer is:
125/5+49
=74
Use slope or the distance formula to determine the most precise name for the figure A(-1,-4) B(-1,-1) C(4,1) D(2,-2)
a) kite
b)trapezoid
c)sqaure
d)rhombus
Final answer:
After calculating distances between each pair of points and evaluating the properties of the resulting figure, it has been determined that the most precise name for the figure is a kite. This is due to the specific lengths of its sides and diagonals and their relationship to one another, which fits the definition of a kite.
Explanation:
To determine the most precise name for the figure formed by points A(-1,-4), B(-1,-1), C(4,1), and D(2,-2), we need to calculate the distances between each pair of points (sides of the figure) and evaluate their slopes where applicable.
AB = √(((-1)-(-1))^2 + ((-1)-(-4))^2) = 3
BC = √((4-(-1))^2 + (1-(-1))^2) = √(25 + 4) = √29
CD = √((4-2)^2 + (1-(-2))^2) = √(4 + 9) = √13
DA = √((2-(-1))^2 + ((-2)-(-4))^2) = √(9 + 4) = √13
AC (diagonal) = √((4-(-1))^2 + (1-(-4))^2) = √(25 + 25) = √50
BD (diagonal) = √((2-(-1))^2 + ((-2)-(-1))^2) = √(9 + 1) = √10
With sides AB and CD equal and AD and BC equal, and none of the sides being equal to each other, and considering two unequal diagonals, we can conclude that this figure is a kite, given that a kite has two pairs of adjacent sides that are equal but not all sides are equal and the diagonals are of different lengths.
Consider the cylinder with a volume of 132π cm3. A cylinder with volume of 132 pi centimeters cubed. What is the volume of a cone with the same radius and height as the cylinder? 33 pi centimeters cubed 44 pi centimeters cubed 66 pi centimeters cubed 132 pi centimeters cubed
Answer:
44 pi centimeters cubed
Step-by-step explanation:
Since, base radius and height of cone are equal to to that of cylinder. Hence,
[tex]Volume \: of \: cone \\ = \frac{1}{3} \times Volume \: of \: cylinder \\ = \frac{1}{3} \times132\pi \\ = 44\pi \: {cm}^{3} [/tex]
Answer:44 pi centimeters cubed
Step-by-step explanation:
The dot plot shows h r. Ruda's class scored on a 5-point math quiz. Mr. Ruda described the data as having a spread from
0 to 5, a center of 3, two clusters, and a peak at 5. Where did Mr. Ruda make an error?
Scores on the Math Quiz
The spread is from 0 to 8.
The center is at 2
There is only one cluster.
The booklet
om
BV
PHILIPS
Answer:
B. The center is at 2
Step-by-step explanation:
please help me out! I’ll give brainliest ! :)
Answer:
90 men working for a company
What is the surface area of the right rectangular prism? Enter your answer in the box. 6ft 4ft 3ft
Answer:
The surface area will be 108 ft
Step-by-step explanation:
If the length is 6ft, the width is 4ft and the height 3ft = The surface area will be 108 ft
Which transformation is a rigid transformation?
2 right triangles have identical angle measures but different side lengths. Triangle 2 has longer sides.
2 right triangles have different angles and side lengths.
2 right triangles have identical side lengths and angle measures. The second triangle is a reflection of the first.
Answer:
C on edge
Step-by-step explanation:
just did it
The transformation that is a rigid transformation is: "2 right triangles have identical side lengths and angle measures. The second triangle is a reflection of the first." The correct option is C).
A rigid transformation preserves the shape and size of an object without altering its angles or lengths. Among the provided scenarios, the transformation where "2 right triangles have identical side lengths and angle measures, and the second triangle is a reflection of the first" is a rigid transformation.
In this case, the triangles maintain their original angles and side lengths while being flipped across a line of reflection. Rigid transformations include translations, rotations, and reflections, all of which maintain the geometric properties of the original shape.
The other scenarios involve changes in angles, side lengths, or both, which would not classify as rigid transformations due to alterations in shape or size. The correct answer is C).
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--The given question is incomplete, the complete question is given below
"Which transformation is a rigid transformation?
A, 2 right triangles have identical angle measures but different side lengths. Triangle 2 has longer sides.
B, 2 right triangles have different angles and side lengths.
C, 2 right triangles have identical side lengths and angle measures. The second triangle is a reflection of the first. "--
You get a 27% discount on a sweater that is $18 sales tax is 8.4% how much is it after text total cost
Answer:
27/100×18=4.86
8.4/100×18=1.512
total is 6.372
Find the distance between -6 and 8. What is an expression that represents the distance? Complete the expression.
Answer:
14
Step-by-step explanation:
Using the absolute value function the distance is calculated as
| - 6 - 8 | = | - 14 | = 14
or
| 8 - (- 6) | = | 8 + 6 | = | 14 | = 14
Answer:
-6 - 8
Step-by-step explanation:
Please help!! This is due in 5 minutes!!
Answer:
416
Step-by-step explanation:
first find the area of the one triangle
12 times 8/2=96/2=48
and there are two triangles, so 48 times 2=96
and then find the area of one of the rectangle
10 times 12=120
and two are 10 times 10
10 times 10=100
100 times 2=200
200+120=320
320+96= 416