What shape is generated when AABC is rotated around the vertical line
through B and C?
Answers
The solution is, The shape that is generated is a Cone, when AABC is rotated around the vertical line through B and C.
What is a cone?A cone is a solid which tapers from a circular base to a point. A cone is a three-dimensional geometric shape that tapers smoothly from a flat base to a point called the apex or vertex. A cone is formed by a set of line segments, half-lines, or lines connecting a common point, the apex, to all of the points on a base that is in a plane that does not contain the apex.
here, we have,
given that,
triangle ABC is rotated around the vertical line through B and C.
now, we have to find shape that is generated .
we know that,
A triangle, when rotated about one of it's side will generate a solid in a form of a Cone.
again, we have,
The cone could be a hollow one or a solid filled one, depending on the properties of the triangle being rotated.
Hence, The solution is, The shape that is generated is a Cone, when triangle ABC is rotated around the vertical line through B and C.
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Related Questions
If Tina rode her bike at a constant rate for the first three hours, what was Tina's average calories burned, in calories per hour, between hour 0 and hour 3?
Answers
Answer: 400 calories per hour
Step-by-step explanation:
Q: Tina recorded the number of calories she burned during a bike ride. The graph shows Tina’s calories burned, y, after x hours. If Tina rode her bike at a constant rate for the first three hours, what was Tina’s average calories burned, in calories per hour, between hour 0 and hour 3?
Expalanation: It is seen from the graph that her rate of burning calories increased to 1200 in the first three hours of riding and then remained constant for the rest of the period (2 extra hours).
Her rate of calorie use therefore would be given as: (total calorie used up) / (total hours spent riding for the period of usage)
This is given as: 1200 calories / 3 hours = 400 calories per hour.
Luis le dice a su amiga: "Yo tengo ahora el triple de edad que tú tenías, cuando yo tenía la edad que tú tienes ahora". Si entre los dos suman 50 años, ¿cuántos tiene cada uno?
Answers
Answer:
Luis tiene 30 años de edad y su amiga tiene 20 años edad.
Step-by-step explanation:
Cuando Luis tenia 20 años de edad (hace 10 años), su amiga tenia solamente 10 años de edad. Si multiplicamos 10 x 3 nos da como resultado 30, que es la edad actual de Luis.
L + A = 50
3(A - x) = L
L = 50 - A
3A - 3x = 50 - A
4A = 50 + 3x
en este punto podemos probar diferentes alternativas para x:
x = 5, entonces 4A = 50 + 15
A = 16.25 no es factible porque estamos buscando numeros enteros
x = 6, entonces 4A = 50 + 18
A = 17
al reemplazar, nos da una edad de 3(17 - 5) = 36 para Luis, pero 36 + 17 = 53
x = 8, entonces 4A = 50 + 24
A = 18.5 no es factible porque estamos buscando numeros enteros
x = 10, entocnes 4A = 50 + 30
A = 20
al reemplazar, nos da una edad de 3(20 - 10) = 30 para Luis, y 30 + 20 = 50
Use the given information to write the equation of the parabola.
Vertex: [tex](0,0)[/tex]
Focus: [tex](0,-\dfrac{1}{2})[/tex]
Answers
Answer:
x² = -2y
Step-by-step explanation:
The focus is p away from the vertex, and so is the directrix.
To find the equation of the parabola, we must first determine if the parabola is horizontal or vertical.
Horizontal parabola [Standard form]: (y – k)² = 4p(x – h)Vertical parabola [Standard form]: (x – h)² = 4p(y – k)If the parabola is vertical, the directrix, and focus will have the same x value but different y value compared to the vertex (h, k). You can also tell if the directrix in in the form y = k – p, and if the focus is in the form (h, k + p).
Likewise, if the parabola is horizontal, the directrix, and focus will have the same y value but different x value compared to the vertex (h,k) . You can also tell if the directrix is in the form x = h – p, and if the focus is in the form (h + p, k).
For this problem, given that the vertex is at the origin (0,0), and that the focus is at the point (0, -½).
You can tell that the x value is the same for the vertex, and focus so this must be a vertical parabola. Because this is a vertical parabola, we can use the form mentioned as earlier (x – h)² = 4p(y – k).
If h = 0, and k = 0, the p value must be the difference between the k of the vertex, and the k of the focus: -½ - 0 → -½.
Now we can just plug in our known information to derive the equation!
h = 0, k = 0, p = -½ → (x - h)² = 4p(y - k) →
(x - 0)² = 4(-½)(y - 0) → x² = -2(y - 0) →
x² = -2y.
Also p = 1/4a, if you are wondering.
So because this is a vertical parabola, x² = -2y is generally the same as y = -1/2x² in standard quadratic form. I just like to think of the horizontal parabola as an inverse quadratic because it is like reflecting over the line y = x.
Answer:
[tex]\boxed {\boxed {\sf x^2=-2y}}[/tex]
Step-by-step explanation:
First, plot the two points. We can see the focus is below the vertex. The result will be a vertical parabola. Since the parabola must contain the focus, it will have to open downward.
From this information, we know that the following equation must be used:
[tex](x-h)^2=-4p(y-k)[/tex]
where (h,k) is the vertex and p is the distance from the focus to the vertex.
Next, find p, the distance between the focus and vertex. We can use the distance formula.
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
The vertex is (0,0) and the focus is (0, -1/2). Therefore:
[tex]x_1=0\\y_1=0\\x_2=0\\y_2= -1/2[/tex]
[tex]d=\sqrt{(0-0)^2+(0--1/2)^2}[/tex]
[tex]d=\sqrt{(0)^2+(0+1/2)^2}[/tex]
[tex]d=\sqrt{0+(1/2)^2}[/tex]
[tex]d=\sqrt{0+1/4}[/tex]
[tex]d=\sqrt{1/4}[/tex]
[tex]d=1/2[/tex]
Now we know the distance and vertex. We can plug the values into the equation.
d=1/2 and (h,k)= (0,0)
[tex](x-0)^2=-4(1/2)(y-0)[/tex]
[tex](x)^2=-2(y)[/tex]
[tex]x^2=-2y[/tex]
The equation of the parabola is x²= -2y
What is the solution to this system of linear equations?
y − x = 6
y + x = −10
A. (−2, −8)
B. (−8, −2)
C. (6, −10)
D. (−10, 6)
Thank you if you can help me!
Answers
If y-x=6
Y +X =_10
then y= 6 + x, instead of y insert this no
6+ x+ x =-10
6 + 2x =-10 then collect like terms
2x =-10-6
2x=-16 then multiple both side by 1/2
X=-8
Y=6+x instead of x insert -8
Y=6-8
=-2
4x-3=2x+7 solve the equation
Answers
Answer:
First collect like terms
4x-2x=7+3
6x=10
x=10/6
x=1.66666666667
x=1.67
Step-by-step explanation:
Please give me brainliest
x=1.67
Explanation:
I NEED POINTS!!!
Maliah goes to an electronics store. Let y represent the price of a laptop and let z represent the price of a television. The equation
y=32 + 12 relates the prices.
Answers
Answer:
hi
Step-by-step explanation:
Solve for x: x+ 1/6 = 5/12
Answers
Answer:
x=3/12 or 1/4
Step-by-step explanation:
x + 1/6 = 5/12
x + 2/12 = 5/12
x = 3/12
converts to 1/4
Answer:
x= 1/4
Step-by-step explanation:
5/12- 1/6 = 1/4
Please HELP me!!!! I will mark as brainlist!!!
Answers
Answer:
4. CDB+DBE= CBE (55+35=90)
5. Definition of a right angle (90 degrees)
6. Linear pair postulate ( i think)
7. ABC and CBE are both 90 degrees
Step-by-step explanation:
9 3/4 as a percent step by step
Answers
Answer:
9 3/4 in a percent is 975%.
If you change 9 3/4 into a decimal, it will be 9.75, and 9.75 converted into a percent is 975%
A and B are postive integers such that 1/a + 1/b +1/ab = 1. Find ab
Answers
Answer: ab =6
have:
[tex]\frac{1}{a}+\frac{1}{b}+\frac{1}{ab}=1\\\\=>\frac{b}{ab}+\frac{a}{ab}+\frac{1}{ab}=1\\\\<=>\frac{a+b+1}{ab}=1[/tex]
=> a + b + 1 = ab
⇔ a + b + 1 - ab = 0
⇔ b - 1 - a(b - 1) + 2 = 0
⇔ (b - 1)(1 - a) = -2
because a and b are postive integers => (b - 1) and (1 - a) also are integers
=> (b - 1) ∈ {-1; 1; 2; -2;}
(1 -a) ∈ {-1; 1; 2; -2;}
because (b -1).(1-a) = -2 => we have the table:
b - 1 -1 1 2 -2
1 - a 2 -2 -1 1
a -1 3 2 0
b 0 2 3 -1
a.b 0 6 6 0
because a and b are postive integers
=> (a;b) = (3;2) or (a;b) = (2;3)
=> ab = 6
Step-by-step explanation:
When asked to write the domain for the equation y= |x - 6| + 3, Mary wrote the Domain is y < 3. What mistake(s) did Mary make? Write the correct domain for Mary using inequality notation. Explain to Mary how you found your answer.
Answers
Answer:
Ok, the domain is the set of values that we can input in a function.
In this case, we have:
y = Ix - 6I + 3.
Notice that there is no restriction here, x can actually take any value, then the domain will be the set of all real numbers.
The correct domain is x, x ∈ R
Now, if we had (for example) something like:
y = Ix - 6I < 3
Now we have a restriction in the domain because we can not have y equal or larger than 3.
To find the domain, we can break the absolute value:
Ix - 6I < 3
is equivalent to:
-3 < x - 6 < 3
now let's add 6 in each side.
-3 + 6 < x - 6 + 6 < 3 + 6
3 < x < 9
That will be the domain in that case.
9 A book publishing company selected 30 out of 50 books submitted for publishing.
What decimal is equivalent to the fraction of books selected for publishing?
Answers
Answer:
Step-by-step explanation:
30/50= 3/5= 0.6
Please Help And Hurry!! (WORTH 20 POINTS)
Solve
5h – 15 + 7h = 40
(Sorry if this is easy I'm bad at math)
Answers
Step-by-step explanation:
h= 55/12 if thats what u askin for
5h – 15 + 7h = 40
To find?value of h
Explanation:[tex]:\implies \bold{5h – 15 + 7h = 40}[/tex]
[tex] :\implies \bold{5h + 7h = 40 + 15}[/tex]
[tex] :\implies \bold{12h= 55}[/tex]
[tex]:\implies \bold{h = \dfrac{55}{12} }[/tex]
[tex]:\implies\underline{\boxed{ \bold{h = 4.583}}}[/tex]
Verification:[tex]:\implies \bold{5h – 15 + 7h = 40}[/tex]
[tex]:\implies \bold{(5 \times 4.583) – 15 +( 7 \times 4.583)= 40}[/tex]
[tex]:\implies \bold{ 30– 15 + 32= 40}[/tex]
[tex]:\implies \bold{ 30– 15 + 32= 40}[/tex]
[tex]:\implies\underline{\boxed{ \bold{ 40= 40}}}[/tex]
White any four rational numbers having the denominator 2 or power of
2. then express them in decimals. Are the decimals always terminating?
While the remarks of your investigation.
Answers
9514 1404 393
Answer:
1/2 = 0.53/16 = 0.18755/64 = 0.0781257/2048 = 0.00341796875yesStep-by-step explanation:
A terminating decimal has an equivalent denominator that is a power of 10. That is, it is the product of a power of 2 and a power of 5.
Any fraction that has a denominator that is a power of 2 can be expressed as an equivalent fraction with a power of 10 as the denominator.
Example:
[tex]\dfrac{7}{2048}=\dfrac{7}{2^{11}}=\dfrac{7\cdot5^{11}}{2^{11}\cdot5^{11}}=\dfrac{7\cdot5^{11}}{10^{11}}=0.00341796875[/tex]
hope this helps.enjoy!!!!!!
Molly is getting an early start on holiday shopping! She has $55.00 to spend on gifts. She first buys her mom a sweater for 17.50. She then found matching bracelets for her friends that cost $7.50 each. How many bracelets did she buy?
a) Write a let statement below to define your variable(s): *
b) Set up an equation using the variable you defined in (a): *
c) Solve your equation & Check. How many bracelets did Molly buy? JUST TYPE THE NUMBER. EXAMPLE: IF she bough 17 bracelets JUST TYPE "17" *
d) Upload a picture of your SOLUTION & CHECK. *
Plz help me anyone oi need help
Answers
Answer:
5
Step-by-step explanation:
55$-17.50=37.5
37.5/7.5=5
A computer technician charges $190 for a 3-hour appointment and $370 for a 7-hour appointment. Which of these represents a linear function that models the charge for hiring the technician for x hours?
A y = 55x + 190
B y = 55x + 45
C y = 45x + 190
D y = 45x + 55
Answers
Answer:
D. y = 45x + 55
Step-by-step explanation:
If a computer technician charges $190 for a 3-hour appointment and $370 for a 7-hour appointment, we can say that;
when c1 = $190, t1 = 3
when c2 = $370, t2 = 7
c is the amount charged
t is the time taken
First thug is to get the slope;
slope = c2-c1/t2-t1
slope = 370-190/7-3
slope = 180/4
slope = 45
Next is to get the intercept by substituting m = 45 and (190, 3) into the standard form of the equation y = mx+c as shown;
190 = 45(3)+c
190 = 135+c
c = 190-135
c = 55
Substitute into the standard form of the equation;
y = mx+c
y = 45x + 55
Hence option D is correct
Use the substitution method to solve the system of equations. Choose th correct ordered pair. y = 8x - 4 x = 4 A. (2. 12) OB. (4, 28) C. (4, 4) D. (2.4)
Answers
9514 1404 393
Answer:
B. (4, 28)
Step-by-step explanation:
Substitute the value of x into the first equation. This gives you the value of y.
y = 8x -4x = 4After substitution, we have ...
y = 8(4) -4
y = 28
Then the point is (x, y) = (4, 28).
The population of a city increases by 5% every year. If its population today is 300,000, what will its population be
in 2 years?
Answers
Answer:
330,750 people
Step-by-step explanation:
If the population increases by 5% every year, in 2 years the population of the city will be 330,750 people. D is also the correct answer as shown in the file.
Population after 2 year is 330,750
Growth rate problem:Given that;
Growth rate = 5% = 0.05
Current population = 300,000
Find:
Population after 2 year
Computation:
Population after 2 year = 300,000(1 + 0.05)²
Population after 2 year = 300,000(1.05)²
Population after 2 year = 330,750
Find out more information about 'Growth rate'.
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PLEASE HELP ILL GIVE BRAINLIEST!!!!
Answers
Answer:
The first one is x=45
The second one is w=14
The third one is x=6
Step-by-step explanation:
What does the graph of the function represent
Answers
The figure is cut into 6 equal pieces. shade 2/3 of the figure
Answers
Answer:
you need to shade 4/6
Step-by-step explanation:
. In 2000, the population of Dallas was 1,188,580. Round that number
to the nearest hundred thousand.
b. Round 3.14159 to four decimal places.
. The price of regular unleaded gasoline was $2.19 Round that price
to the nearest cent.
d. ESTIMATE Estimate the height of the ceiling in your classroom in
meters and in feet.
.. Estimate the sum of 3879 and 5276.
1. Estimate the product of 121 and 9.75 by rounding each number to the
nearest whole number before multiplying.
D. EVALUATE Gus works 39 hours for $9.85 per hour. He calculates that
his weekly paycheck should be $38,415. What is a reasonable
estimate of what Gus earns? How do you suppose Gus arrived at his
calculation?
h. A rectangular room is 11 feet long and 10 feet wide. Grace
calculated the area to be about 124 square feet. Explain why her
calculation is or is not reasonable.
1. It is 6:05 p.m, and Eduardo is driving to Dallas. If he is 157 miles away
and driving at an average speed of 62 miles per hour, is it reasonable
that he can reach Dallas by 9:00 p.m.? Explain your answer.
Answers
Answer:
please forgive me I have no clue
Step-by-step explanation:
How many solutions can be found for the equation 4x + 5 = 10? (4 points)
a. Zero
b. One
c. Two
d. Infinitely Many
Answers
I would say B) one
What is the quotient of -3/8 And -1/3?
Answers
Answer:
Actually, I didn't get your question, is it -3/8÷ -1/3 or -1/3÷ -3/8?
If it is -3/8÷ -1/3, the answer will be 9/8
But if is -1/3÷ -3/8, the answer will be 8/9
Step-by-step explanation:
-3/8÷ -1/3
= -3/8× 3/-1
= -9/-8
= 9/8
If your question is -1/3÷ -3/8, the answer is 8/9 in the same way.
Function 1: Alan starts with $30 this week. He spends $5.30 per week. Let y be the amount remaining as a function of the number of weeks, X. 0 30 1 24.70 2 19.40 3 14.1
Answers
Answer:
y = 30 - 5.30x
Step-by-step explanation:
y-intercept: 30
slope: 5.30x
Just plug in the amount of weeks on x, and then subtract from 30.
Due to unexpected circumstances, you take out a loan for $5,000 to pay for a lawyer. You agree to pay it back over the next 5 years at a rate of 22.5% (because your credit score is really really low). At the end of the 5 years, how much did this "unexpected circumstance" end up costing you in all?
Answers
R=22.5
T=5yrs
I=PxRxT= 5000x22.5x5=50x22.5=1125x5=5625
———= ———————
100 =. 100
The answer is $5625
choose the graph that represents the point on the coordinate plane. P (0,8)
Answers
Note: You missed to add the diagram. After a little research, I found the diagram.
Hence, I am solving the question based on the attached diagram.
Answer:
option C is the right graph that represents the point P(0, 8) on the coordinate plane.
Step-by-step explanation:
The assumed diagram is attached below.
From the diagram, it is clear that:
Graph A represents the point P at the location (8, 8).Graph B represents the point P at the location (8, 0).Graph D represents the point P at the location (8, 1).But, if we closely observe the graph C on the diagram below, we can validate that graph C is clearly indicating that the point P is located at the location (0, 8).
Hence, option C is the right graph that represents the point P(0, 8) on the coordinate plane.
Simplify this fraction (multi choice)
Answers
1/5 - 3/5 = -2/5 as exponent
It would be 7^-2/5
The third response is correct
1) Which of the following is NOT a property of reflection?
A)distance between points is preserved (stays the same)
B)angle measure is preserved (stays the same)
C)pre-image and image are congruent
D)orientation is preserved (stays the same)
Answers
Answer:
orientation is preserved (stays the same)
Step-by-step explanation:
HELP ASAP! Relations and Functions!!! Giving brainliest!!!
Answers
Answer:
Step-by-step explanation:
Neither are a function because they do not pass the vertical line test.