Triangle ABC, with the vertices at A(0,0) B(3,5) and C(0,5) is graphed on the set of axes shown below. Name the solid that is formed when triangle ABC is rotated continuously about side AC and state the radius of the solid
Answers
Answer:
Solid formed will be a CONE
Radius of the cone = 3 units
Step-by-step explanation:
Given points of a triangle are A(0, 0), B(3, 5) and C(0, 5).
Given triangle is a right triangle.
When the given triangle ABC is rotated about a line AC, a 3D image of a solid will be created in the form of a CONE.
This cone will have the radius = BC
Length of side BC = [tex]\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}[/tex]
= [tex]\sqrt{(3-0)^2+(5-5)^2}[/tex]
= 3
Therefore, radius of the cone = 3 units
Related Questions
You spin the spinner below once. What is the P(getting a number less than 5)?
Answers
Answer:
3/4
Step-by-step explanation:
Other than 5 there are 3 other numbers that could be chosen so its 3/4 chances
The required probability of getting a number less than 5 is 3/4
The correct option is (B)
What is Probability?The mathematical possibility of any event is called probability
The probability of impossible event is zero and sure event is one
The probability can be calculated as
Probability = [tex]\frac{favourable}{total}[/tex]
How to find probability?here we have given total event or sample is
S = {2, 3, 4, 5}
n(S) = 4
The required probability of getting a number less than 5
Favorable event E = {2, 3, 4}
n(E) = 3
Therefore the
P(E) = 3/4
Hence the correct option is (B)
This is the conclusion to the answer.
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What is the volume of a triangular prism that is 6 inches high with a base area of 12 square inches? *Remember: Volume is the area of the base multiplied by the height.
A. 72 in3
B. 60 in3
C. 18 in3
D. 62 in3
Answers
Answer:
A. 72
Step-by-step explanation:
Since the volume of a figure is the area of the base multiplied by the height, the volume of this one is 12*6=72 cubic inches, or answer choice A. Hope this helps!
Answer:
A would be the right answer :)
Step-by-step explanation:
In the diagram shown, m <AOC =124 and OA=10 cm. Which of the following is closest to the length of
arc ABC?
(1) 20.6
(2) 21.6
(3) 40.4
(4) 41.2
Answers
Answer:
(2) 21.6
Step-by-step explanation:
The segment OA is the radius of the circle
The arc of the complete circle is equivalent to its perimeter
perimeter = 2*π*radius = 2*π*10 = 62.83 cm
This arc is proportional to 360°. So, for 124°:
360°/124° = 62.83 cm/ x cm
x = 124*62.83/360
x = 21.6 cm
HEY PLEASE I NEED HELP IM OFFERING 30 POINTS
which point is a solution to the given system of inequalities
x+4y>12
3y>x+6
A.(-4,6)
B.(5,2)
C.(0,3)
D.(-2,3)
Answers
Answer:
the first option, (-4, 6)
Step-by-step explanation:
for this question, we can use the substitution method. this is where we substitute the coordinates in the answer choices into the given system of inequalities or equations to determine which one is true.
1. (-4,6)
x + 4y > 12
-4 + 4(6) > 12
20 > 12 is true
now we can substitute the second inequality.
3(6) > -4 + 6
18 > 2 is true, therefore making this set of points true.
it may be helpful to substitute the rest of the values of x and y into the inequalities to verify your answers :
5 + 4(2) > 12
5 + 8 > 12
13> 12 is true
3(2) > 5 + 6
6 > 11 is not true
the rest of the answer choices are also not true.
I hope this helped you!
Answer:
(-4, 6)
Step-by-step explanation:
What is the equation of the line that passes through the point (-7,-1) and has a slope of 1?
Answers
Answer:
Step-by-step explanation:
y + 1 = 1(x + 7)
y + 1 = x + 7
y = x + 6
One polygon has a side of length 2 feet. A similar polygon has a corresponding side of length 4 feet. The ratio of the
perimeter of the smaller polygon to the larger is 2/1 or 1/2 or 1/4
Answers
Translate the following sentence into an equation. Five times a number less than eighteen is equal to thirteen.
Answers
Answer:
5(n<18)=13
Step-by-step explanation:
Five times a number less than eighteen is equal to thirteen
5 (n < 18 = 13
The numerical coefficient in "6m" is:
Answers
The numeral coefficient is the number ( the one that we know)- so its 6
Which equation represents the graphed function?
O y=-3x + 3
O y= 3x - 3
Oy= 3x - 1/3
O y=-1/3x+3
Answers
Answer:
y = -1/3x+3
Step-by-step explanation:
use slope formula y₂-y₁/x₂-x₁ plug in the values and get the answer. y2 is y coordinate of the second point and and y1 is the y coordinate of the first point same with x2 and x1
The equation that represents the graphed function would be; y = -1/3x+3
We know that the slope is the ratio of the vertical changes to the horizontal changes between two points of the line.
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
where (x₁, y₁) and (x₂, y₂) are the two points that trying to find the slope between.
Now plug in the values and get the answer.
y2 is y coordinate of the second point and and y1 is the y coordinate of the first point same with x2 and x1
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
m = ( 3-2) / ( 0-3)
m = -1/3
The equation will be y=-1/3x+3
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Please help! I don’t understand
Answers
the correct answer is B
The answer is definitely B
Translate the phrases below into inequalities and interval notation. Use the variable x for the inequalities. Phrase Inequality Interval notation at least 11 at most 11 more than 11 fewer than 11 strictly between 3 and 11 between 3 and 11, inclusive no more than 3
Answers
Answer:
At least 11: x≥11 ; At most 11:x≤11 ; More than11: x>11 ; Fewer than 11: x<11; Strictly between 3 and 11 : 3 < x < 11 ; Between 3 and 11: 3≤x≤11 ; Inclusive no more than 3: x≤3
Step-by-step explanation:
At least 11: x≥11At least means that the number can't be lower than 11 (11 included)
At most 11: x≤11At least means that the number can't be higher than 11 (11 included)
More than11: x>11More means that the number must be higher than 11 ( 11 not included)
Fewer than 11: x<11Fewer than means that the number must be lower than 11 ( 11 not included)
Strictly between 3 and 11 : 3 < x < 11"Strictly between" means excluding the endpoints
Between 3 and 11: 3≤x≤11Including endpoints.
Inclusive no more than 3: x≤3Inclusive includes number 3 (less or equal)
Feel free to ask for more if needed or if you did not understand something.
In triangle ABC, a=7, b=3 and cos C = 1/2. The value of c is
1. Sqrt 8
2. Sqrt 37
3. Sqrt 27
4. 4
Answers
Answer:
Correct option: 2 -> sqrt(37)
Step-by-step explanation:
To solve this problem, we just need to use the law of cosines. This law is used to find the third side of a triangle, when we have the two other sides and the angle between them.
The equation of the law of cosines is:
c^2 = a^2 + b^2 - 2 * a * b * cos(C)
So, we have that:
c^2 = 7^2 + 3^2 - 2 * 7 * 3 * (1/2)
c^2 = 49 + 9 - 21
c^2 = 37
c = sqrt(37)
Correct option: 2
Since we know U is the midpoint, we can say TU equals BLANK? Substituting in our values for each we get BLANK? =12x - 1
Answers
Answer:
x = 3
Length of each segment = 3
Step-by-step explanation:
Since point U is the midpoint of the line segment TV, that means both the parts of the segment UV and TU will be equal in measure.
m(TU) = m(VU)
(8x + 11) = (12x - 1)
By further solving this,
8x + 11 + 1 = 12x - 1 + 1
8x + 12 = 12x
8x + 12 - 8x = 12x - 8x
12 = 4x
x = [tex]\frac{12}{4}[/tex]
x = 3
(12x - 1) = 12×3 - 1
= 35
And the length of each segment will be 35 units.
Write an absolute value expression to represent the distance between -1 and -6 on a number line. then evaluate the expression.
Answers
Answer:
5.
Step-by-step explanation:
That would be |-1 - (-6)|
= |-5|
= 5.
HELP ME PLZ NOT A TEST !!!!!!!!!!!!!!!!! ITS A REVIEW AND I DONT GET IT I NEED TO KNOW THE STEPS AND THE AWNSER
Answers
Answer: See below
Step-by-step explanation:
1. For this problem, you see that it's 5². The only problem that displays 5² is A². Now, there is a ×3 after that. That means there is 3 of 5². If you are still not sure, you can solve the problem.
5²×3=25×3=75
A shows 75.
-----------------------------------------------------------------------------------------------------------------
2. You need to first distribute each factor and then combine like terms.
-14a+10b+20a-32b+2
6a-22b+2
B
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3. You need to first distribute each factor and then combine like terms.
-6n+30+18n-12
12n+18
D
Help asap plzz
-3x + 7 = -8
Answers
Answer:
x=5
Step-by-step explanation:
-3x+7=-8
Bring 7 to the other side, it becomes negative
-3x=-8-7
Signs are same on rhs so u add
-3x = -8+-7= -15
Bring -3 to the other side n divide
therefore,
x=-15/-3
= +5 (two negatives become positive)
Hope it helps!
Answer:
x = 5
Step-by-step explanation:
→Subtract 7 from both sides:
-3x + 7 = -8
-3x = -15
→Divide both sides by -3:
x = 5
Nina and Jo both ran an 8 km race. Nina took 45 minutes to run the whole race. Jo started the race 4 minutes later than Nina but caught up when they had both travelled 5 km. If Nina and Jo both ran at constant speeds, what is Jo's speed to 2 dp?
Answers
Answer:
6.0869 mph
Step-by-step explanation:
Nina:
8 km: 45 mins
Jo:
8 km: 49 mins
Speed = distance / time
Speed= 8 / 49
i need help guys ):
Answers
Answer:
It is a dilation. You know because when you see the shapes form left to right, the shape increases in size.
[tex]( {5b}^{2} + 3b + 4) + ( {6b}^{2} - 5)[/tex]
Answers
Answer: 11b^2 + 3b - 1
Step-by-step explanation:
(5b^2 + 3b + 4) + (6b^2 - 5)
5b^2 + 3b + 4 + 6b^2 - 5
11b^2 + 3b -1
Im having trouble on these ones. Can someone help>
Answers
Answer:
9. 40°
10. 50°
11. 270°
12. 310°
Step-by-step explanation:
m∠BPC = 40° because it is complementary to ∠APB, which is 50°.
Arc AB is 50° because it will be equal to the central angle, which is 50°.
Arc ADC is 270° because it will be equal to the central angle, which is 270°.
Arc ADB is 310° because it will be equal to the central angle, also 310°.
I Need the answer and how to do the question, anyone can help?
Answers
Answer:
P(A and B) = 0.1344 = 13.44%
Step-by-step explanation:
If the chances are disjoint and you want the chance of both happening, you can multiply their individual chances.
It's easiest to express them as a fraction, i.e., 64% = 0.64 and 21% = 0.21
P(A and B) = 0.64 * 0.21 = 0.1344 which is 13.44%
The original price of a plane ticket was reduce by 150 if p= the ticket original price in dollars which algebraic expression represents the reduced price?
Answers
Answer:
p-150
Step-by-step explanatio
p=precio
reducido=150
se redujo, quiere decir que es "-"
Entonces dice "que expresión presenta el precio reducido"
Entonces sería:
(precio) - (reducido)
p-150
If fix)=x2-2 and g(x) = x-3, what is(f•g)(x)?
o (f•g)(x) = x +7
o (f•g)(x) = x^2 - 6x+7
o (f•g)(x) = x^2- 3x+7
o (f•g)(x) = x^2 - 5
Answers
Answer:
The last option is correct. (f*g)(x) = x² - 5
Step-by-step explanation:
Since is f * g you have to multiply them together.
x² - 2 * x - 3 (x)
Next ust simplify.
x² -5x
Which expression best estimates 6 and three-fourths divided by 1 and two-thirds? 7 divided by 2 6 divided by 1 8 divided by 3 3 divided by 2
Answers
Answer:
[tex]4\frac{1}{20}[/tex]
Step-by-step explanation:
[tex]6\frac{3}{4} \div 1\frac{2}{3}[/tex]
[tex]\frac{27}{4} \div \frac{5}{3}[/tex]
[tex]\frac{27}{4} \times \frac{3}{5}[/tex]
[tex]\frac{27 \times 3}{4 \times 5}[/tex]
[tex]=\frac{81}{20}[/tex]
[tex]=4\frac{1}{20}[/tex]
Answer:
7 divided by 2
Step-by-step explanation:
If f (x) = 4x-3, what is f (x)?
Picture is the options
Answers
Answer:
I think it is option C, 3-4x
Mrs. Smith decides to build her own vegetable garden. She goes to Home Depot and buys material to
build beds for the vegetables she'll grow. The beds are big wooden boxes. Each bed is 10 feet long, 5 feet
wide, and 1 % feet tall. She builds 4 beds for her vegetable garden and fills each bed with dirt. The bags
of dirt each contain 1.5 ft of dirt. How many bags of soil did Mrs. Smith buy to fill all 4 beds?
Answers
Answer: 4 bags
Step-by-step explanation: since the height of the wooden boxes are 1.5 feet tall and they need the box to be full it will be 4 bags. Also because each bag contains 1.5 feet of dirt and that’s the exact amount we need for one box.
Need help ASAP
How to check that a trinomial is a perfect square ?
Answers
Answer:
Step-by-step explanation:
multiply the two square roots together and then by two. You should get the positive or negative version of the other term. Once again, if this is not the case, you do not have a perfect square trinomial. For example, in the trinomial x2 - 12x + 36, both x2 and 36 are perfect squares.
What is the rate of change/slope?
Miles per hour
2 hours= 70 miles
4 hours= 140 miles
6 hours= 210 miles
8 hours = 280 miles
Answers
Answer:
35 miles per hour
Step-by-step explanation:
The slope is
m = (y2-y1)/(x2-x1)
= (280-210)/(8-6)
= 70/2
= 35 miles per hour
Answer: 1hr/35miles
Step-by-step explanation:
What is the volume of a hemisphere radius of 44.9 m rounded to the nearest 10th of a cubic meter
Answers
Answer:
189582.23m^3
Step-by-step explanation:
formula for the volume of a hemisphere=2/3 x pi x r^3
The volume of a hemisphere radius of 44.9 m rounded to the nearest 10th of a cubic meter is 181,037 cubic meters.
How to calculate volume of a hemisphere?We can say that a hemisphere is exactly half of a sphere. The volume of the hemisphere is obtained by Archimedes and is half the volume of a sphere. The volume V of a hemisphere is two-thirds times pi times the radius cubed.
The formula for the volume of a hemisphere is :
[tex]V=2/3 * \pi * r^3\\V= 2/3 (3.14) (44.9)^3\\V= 181,037 m^3[/tex]
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Parallel lines r and s are cut by two transversals, parallel lines t and u.
Lines r and s are crossed by lines t and u to form 16 angles. Clockwise from top left, at the intersection of r and t, the angles are 1, 2, 3, 4; at the intersection of s and t, 5, 6, 7, 8; at the intersection of u and s, 9, 10, 11, 12; at the intersection of r and u, 13, 14, 15, 16.
How many angles are alternate exterior angles with angle 5?
Answers
Answer:
The answer is 7 angles.
Step-by-step explanation:
There 7 alternate exterior angles with angle 5.
Correct me if I'm wrong!
Thank you!!!
The angle that is alternate exterior angles to angle 5 is ∠11 and it is only one.
What is an alternate exterior angles ?The alternate exterior angles are the pair of angles on the outer side of the two parallel lines but on the opposite side of the transversal.
Generally, when a tranversal line cut parallel lines, various angles are formed such as corresponding angles, alternate angles, verticallly oppposite angles.
Hence, the angle that is alternate exterior angles with angle 5 is as follows:
∠11learn more on alternate exterior angles here: https://brainly.com/question/16244138