Answer:
n(U)=30
n(H)=15
n(G)=18
n(H ∪ G)'=5
n(H ∪ G)=n(U)-n(H ∪ G)'
=30-5=25
So ,n(H ∩ G)=n(H)+n(G)-n(H ∪ G)
=15+18-25=8
Therefore, 8 students take both subjects.
A set is a mathematical model for a collection of diverse things. The total number of students who who take both History and Geography is 8.
What is a set?A set is a mathematical model for a collection of diverse things; it comprises elements or members, which can be any mathematical object: numbers, symbols, points in space, lines, other geometrical structures, variables, or even other sets.
Given that there are 30 students in a class. of those, 15 take history, 18 take geography, and 5 take neither of these subjects. Therefore, we can write the following values,
Total students, n(S)=30Students who take History, n(H)=15Students who take Geography, n(G)=18Students who take neither of the subject, n(H' ∪ G') =5Now, the number of students who take at least one of the two subject can be written as,
Students who choose at least one subject
= Total students - Students who take neither of the subject
n(H ∪ G) = n(U) - n(H ∪ G)'
n(H ∪ G) = 30 - 5
=25
Further, the total number of students who who take both the subjects can be written as,
Students who take both the subjects = Students who take History + Students who take Geography - Students who choose at least one subject
n(H ∩ G) = n(H) + n(G) - n(H ∪ G)
n(H ∩ G) = 15 + 18 - 25
n(H ∩ G) = 8
Hence, the total number of students who who take both History and Geography is 8.
Learn more about Sets here:
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Please help I’ll make you the brainiest
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
Answer:
B. (2, 1/64)
Hope this helps!
ANSWER BOTH!!!
A. An item is regularly priced at $65. Bill bought it at a discount of 20% off the regular price. How much did Bill pay?
B. The wholesale price for a pillow is $4.50. A certain department store marks up the wholesale price by 40%. Find the price of the pillow in the department store.
Round your answer to the nearest cent, as necessary.
Answer:
A = $52.00B = $6.30Step-by-step explanation:
A. How much Bill paid AFTER the discount.Step 1: Convert the discounted percent to decimal
20% = 0.2
Step 2: Multiply the discount to the item regularly priced
0.2(65.00) = 13
So, Bill received a $13 discount, therefore, the amount he paid AFTER his discount is:
Step 3: Subtract the result (the discount Bill received) from the regular price
$65.00 - $13.00= $52.00
Therefore, Bill paid $52.00
B. The price of the pillow in the department store.Step 1: Multiply the wholesale price for a pillow by the marked-up the wholesale price
$4.50 × 40% = 1.8
Set up a fraction[tex]\frac{4.50}{x}=\frac{100\%}{40\%}[/tex]
The reciprocal of both sides gives[tex]\frac{x}{4.50}=\frac{40}{100}[/tex]
x = 1.8
Step 2: Add the result to the wholesale price for the pillow
4.50 + 1.8 = $6.3
Step 3: Round to the nearest cent
Add a zero behind the result = 6.30
Therefore, the price of the pillow in the department store is $6.30
What is the arc measure of \stackrel{\LARGE{\frown}}{AB}
AB
⌢
A, B, start superscript, \frown, end superscript on circle PPP in degrees?
^\circ
∘
degrees
Answer:
72 degrees
Step-by-step explanation:
Find the diagram attached. We are to find the length of the arc
Measure of arcABC = rtheta
16π = 10 theta
theta = 16*180/10
theta = 16 * 18
theta = 288degrees
central angle = 360 - 288 = arc AC
central angle = 72degrees
Hence the arc measure of AC is 72 degrees
Christine runs each lap in 7 minutes. She will run more than 35 minutes today. What are the possible numbers of laps she will run today?
Use n for the number of laps she will run today.
Write your answer as an inequality solved for n.
Answer:
5 laps
Step-by-step explanation:
35\7
= 5
Therefore your ans is 5
The list shows the numbers of employees in the nine departments at a company.
14, 23, 6, 54, 30, 26, 17, 3, 26
what is the range of numbers of employees in Theese departments
AWNSER ASAP PLSS!! :(
Answer:
51.
Step-by-step explanation:
Step 1: Define/explain.
To find the range of a data set, subtract the smallest number from the largest number.
Step 2: Solve.
[tex]14, 23, 6, 54, 30, 26, 17, 3, 26[/tex]
[tex]54-3=51[/tex]
Step 3: Conclude.
I, therefore, believe the range of this data set is 51.
Find area of the figure.
First the top right quart
area = 16, 4 * 4
Then the top left quart
making a 2 by 4 triangle followed with 4 additional square
making 2 * 4 * 1/2 = 4 + 4 meaning area = 8
then the bottom quart
Making a large triangle of 7 by 3
meaning 7 * 3 * 1/2 = 10.5
total area = 16 + 8 + 10.5 = 34.5
PLS PLS HELP ASAP!!!
Answer:
2 1/4
Or as a fraction
9/4
evaluate the expression 5-(6+3i)+2i
Answer:
-1 - i
Step-by-step explanation:
First, start by distributing the negative sign(-1), and you get:
5 - 6 - 3i + 2i
Next, combine the like terms, 5 & -6, and -3i & 2i.
This gives us: -1 - i
What is the expanded form of this number? 630.052 A(6×100)+(3×10)+(5×110)+(2×1/100) B (6×100)+(3×1)+(5×110)+(2×1/100) C (6×100)+(3×1)+(5×1100)+(2×1/1,000) D (6×100)+(3×10)+(5×1/100)+(2×1/1,000)
Answer:
Its D.
Step-by-step explanation:
The expanded form of this number 630.052 is (6×100)+(3×10)+(5×1/100)+(2×1/1,000). Option D is correct.
What is the definition of arithmetic operation?Arithmetic is a branch of mathematics that studies numbers and the many operations that may be applied to them. The four basic math operations are addition, subtraction, multiplication, and division.
The expanded form of this number 630.052 is solved by the BODMAS rule ;
630.052= (6×100)+(3×10)+(5×1/100)+(2×1/1,000)
630.052=6×100+3×10+5×0.01+2×0.001
630.052=600+30+0.05+0.002
630.052=630.052
The expanded form of this number 630.052 satisfy the option D.
Hence option D is correct.
To learn more about the arithmetic operation;
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Use the data to answer the question.
28, 32, 36, 37, 39, 41, 41, 43, 45
What is the median of the data?
OA 37
B. 38
Oc. 39
D
41
Answer:
c. 39
Step-by-step explanation:
you have to find the middle of this. 39 is the middle.
Out of a group of 20 volunteers, 14 people are chosen to participate in a survey about the number of hours of television they watch each week. What is the sample in this situation?
Answer:
Step-by-step explanation:
im ka$hdami a 16yr old rapper i made the viral songs (reperations) (Look N the Mirror) and (Kappin Up) check out my new songs out on all platforms
Nine students can make a poster in 10 hours how many students join them so that they can all together make this poster in six hours
Answer:
there is not enough information
IMMMMMMMMMMMMMMMMM SSOOOOOOOOOOOOOOO CONFUSEEDDDDDDDDD please EXPLAINNN HOWWW
Answer:
x=16
Step-by-step explanation:
Both angles are verically opposite angles
so
4x+21=85
4x=85-21
4x=64
x=16
Rotate and find the reference angle for 207°.
Angle: 0°
y
Quadrant II
90°
Quadrant 1
180°
L0/360°
Quadrant III
270°
Quadrant IV
Answer:
Quadrant III
Step-by-step explanation:
Quadrant I = 1 - 90°
Quadrant II = 91 - 180°
Quadrant III = 181 - 270°
Quadrant IIII = 271 - 360°
In triangle ABC; AB = 5BC = 8 8. and AC = 7 Name the largest angle of triangle ABC
BCA necau u must add the 3 together
Vincent gathered groups of 1 to 8 people and gave every group the same puzzle to solve. He recorded the number of minutes it took each group to solve the puzzle and plotted the results.
Answer:
Larger groups tends to take less time to solve the puzzle.
Step-by-step explanation:
It is given that Vincent gathered few groups from 1 to 8 people and he gave them the same puzzle to solve for each group. The graph is provided which show the relationship between the number of groups and the time taken by each group to solve the puzzle.
From the graph, it cam be seen that, the larger groups is more likely to take less amount of time to solve the puzzle as compared to the smaller groups.
Answer:
B
Step-by-step explanation:
Khan Academy says so
someone please help or i’ll be failing geometry this year
Step-by-step explanation:
I don't know what constructions you were taught.
a "similar" triangle is a triangle with exactly the same angles as the other triangle, but the lengths of all sides are stretched or shortened by the same scaling factor f.
by saying 1:2 she means the second triangle should have sides with twice the lengths of the first triangle (f=2).
and the extra challenge - same basic thing. she allows you to pick one of the two triangles as reference. and then you need to draw a third triangle (again with the same angles) with the side lengths extended by the scaling factor f of 4/3.
I would draw the triangles right on top of each other with the same starting corner (let's call it A) for all 3.
we would get the triangles ABC, AMN and AXY.
the points B and C would be then halfway on AM and AN.
and M and N would then a bit before X and Y on AX and AY.
the beauty is, you only need to construct 2 sides of every new triangle down to the new endpoints. the third side is automatically scaled correctly, and you only need to connect these new endpoints.
let's assume you draw a triangle (just very simple) ABC with all side lengths being 3. so, AB=3, AC=3, BC=3.
now you draw AMN by extending AB and AC to a side length of 6 (f=2) creating M and N, and you connect M and N.
and then you can create the third triangle AXY by extending AM and AN by a factor of 4/3 to side lengths of 8 (4/3 × 6 = 8) creating new end points X and Y. and you connect X and Y.
and that is it. all 3 triangles are similar (the same angles), and all sides of a triangle have the same length ratio to the sides of the other triangle(s).
Can someone help me with this question ?
Answer:
The input is x2
Step-by-step explanation:
1*2=2
4*2=8 and the rest go on
Help please...
x = 3y
4x + 5y = 34
solve for x and y
Help help
Answer: y=2 and x=6
Step-by-step explanation:
x=3y
4x+5y=34
From equation ( 1) x=3y thus substituting in eqn(2)
4(3y)+5y=34
12y+5y=34
17y=34
y=34÷17=2
Thus y=2
Putting y=2 in eqn(1)
x=3y
x=3(2)
x=6
Bern is flying a kite directly over his friend Frank. Bern lets out string which makes an angle of 28°
with the ground. If the kite is 175 feet above Frank, how far are Bern and Frank?
Help ASAP!!
orayt so 28 degree and 175 feet is about...the fox jumps into the lazy dog and say "c'mon barbie let's go party! ah ah ah yeah"....but i dont know the answer as well so thank you.
Answer:
Approximately [tex]329\; \rm ft[/tex], assuming that the ground between Bern and Frank is level.
Step-by-step explanation:
Refer to the diagram attached.
The kite is right above Frank. Therefore, the imaginary line segment (the dashed line segment in the diagram) would form a right angle with the ground under Frank. Bern, Frank, and the Kite would be the three vertices of a right triangle.
The question states that from the perspective of Bern, the angle of elevation of the kite is [tex]28^\circ[/tex]. In this right triangle, the side opposite to this angle would be the imaginary line segment between Frank and the kite over him. The question states that the length of this imaginary line segment is [tex]175\; \rm ft[/tex].
The question is asking for the length of the line segment between Bern and Frank. In the right triangle pictured in this diagram, that line segment would be the side adjacent to the [tex]28^\circ[/tex] angle.
The cotangent of [tex]28^\circ[/tex] would be the ratio between the length of these two sides:
[tex]\displaystyle \cot (28^\circ) = \frac{\text{adjacent}}{\text{opposite}}[/tex].
[tex]\begin{aligned}\text{adjacent} &= \text{opposite} \cdot \cot(28^\circ) \\ &= (175\; \rm ft) \cdot \cot(28^\circ) \approx 329\; \rm ft\end{aligned}[/tex].
help me pls!! i rlly need it!!
Answer:
3. below
<D = 75°
<E = 37°
<F = 68°
4. below
<G = 50°
<H = 80°
<I = 50°
5. below
<A = 55°
<B = 90°
<C = 35°
Step-by-step explanation:
In a triangle, all angles add up to 180°, so we can set up equation accordingly:
3. m<E + m<F + m<D = 180°
6x + 1 + 68 + 13x - 3 = 180
19x + 66 = 180
19x = 114
x = 6°
We can substitute the value of x back into the expressions for each angle:
m<E = 6x + 1 = 6(6) +1 = 36 + 1 = 37°
m<F = 68°
m<D = 13x - 3 = 13(6) - 3 = 75°
4. m<G + m<I + m<H = 180°
2x + 2x + 4x - 20 = 180
8x - 20 = 180
8x = 200
x = 25°
We can substitute the value of x back into the expressions for each angle:
<G = 2x = 50°
<H = 4x - 20 = 4(25) - 20 = 80°
<I = 2x = 50°
5. m<B + m<C + m<A = 180°
90 + 3x + 5 + 5x + 5 = 180
100 + 8x = 180
8x = 80
x = 10°
We can substitute the value of x back into the expressions for each angle:
<A = 5x + 5 = 5(10) + 5 = 55°
<B = 90°
<C = 3x + 5 = 3(10) + 5 = 35°
HELPPPP PLEASE !!!!!!!!!!!!!!
Answer:
113°
Step-by-step explanation:
triangles add up to 180°
180° - 34° - 33° = 113°
==============================================
Explanation:
For any triangle, the three interior angles must add to 180 degrees
34+33+x = 180
x+67 = 180
x = 180-67 ... subtract 67 from both sides
x = 113
This triangle is obtuse because the 113 degree angle is larger than 90 degrees. Also, the triangle is scalene because all three angles are different values (consequently, it means all three sides are different from one another).
someone answer this please!!!! A lot of points for answering.
Answer: 536.142 in^2
Step-by-step explanation:
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This petite girl, short as can be is gonna jump and be free
-Rachie [My R]
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Question 30
What is the distance between points (-3,5,-7) and (2,-4, 6)?
Answer:
-5,4
Step-by-step explanation:
Determine the volume of the space in the tank that still needs to be filled with water if the water is ⅓ ft. Deep
Answer:
11 1/9 ft^3
Step-by-step explanation:
find the complete question in the attached image
volume of the tank = length x width x height
2 x 5 x 1 2/3
2 x 5 x 5/3 = 50/3 = 16 2/3 ft^3
If the tank is 1/3 filled with water, the volume that needs to be filled with water is 1 - 1/3 = 2/3
volume that needs to be filled with water = 2/3 x volume of the tank
2/3 x 50/3 = 11 1/9 ft^3
Which of the following functions best describes this graph?
Answer:
b
Step-by-step explanation:
sorry if it's not correct
3 Edward is scuba diving. He stops 14.3 m below the surface to look at a fish.
Then he swims down 5.8 m to look at a reef. He then swims up 3.2 m.
Which is the best approximation of Edward's current position relative to
the ocean surface?
CONS
Should
subtract
A 12 meters
B 11 meters
C-17 meters
D-23 meters
Dara chose B as the correct answer. How might she have gotten that answer?
Answer:
a. 12 metersStep-by-step explanation:
po ang sagot ko po
#CARRY ON LEARNINGA fish swimming at the same depth as the hook at the end of her fishing line in s 60 feet away
Answer:
.
Step-by-step explanation: