The cones are not congruent because one cone is oblique, which makes the length of the slant heights different.
What is the congruent triangle?Two triangles are said to be congruent if the length of the sides is equal, a measure of the angles are equal and they can be superimposed.
The two cones below have the same radius, height, and volume.
One cone is oblique.
The cones have different slant heights.
The lengths of all corresponding edges are not equal.
Since, Congruent cones must have congruent corresponding measures, including slant height.
The cones are not congruent because one cone is oblique, which makes the length of the slant heights different.
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Answer:
Sample Response: The cones are not congruent because one cone is oblique, which makes the length of the slant heights different. Having the same radius, height, and volume does not make the cones congruent when the corresponding slant heights are not equal. Congruent cones must have congruent corresponding slant heights, with all other corresponding parts being congruent.
What did you include in your response? Check all that apply.
One cone is oblique.
The cones have different slant heights.
The lengths of all corresponding edges are not equal.
Congruent cones must have congruent corresponding measures, including slant height.
If u(x) = x5 – x4 x2 and v(x) = –x2, which expression is equivalent to (startfraction u over v endfraction) (x)? x3 – x2 –x3 x2 –x3 x2 – 1 x3 – x2 1
An expression is defined as a set of numbers, variables, and mathematical operations. The expression that can represent u/v is -x³+x²-1.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The expression which can represent the u/v can be found in the following manner,
[tex]\dfrac {u}{v} = \dfrac{x^5-x^4+x^2}{-x^2}\\\\\dfrac {u}{v} = \dfrac{x^2(x^3-x^2+1)}{-x^2}\\\\\dfrac {u}{v} = \dfrac{(x^3-x^2+1)}{-1}\\\\\dfrac {u}{v} = -x^3+x^2-1[/tex]
Thus, the expression that can represent u/v is -x³+x²-1.
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Answer:
C
Step-by-step explanation:
Would the sum of the interior angles of a triangle in this type of geometry be different from those of triangle in Euclidean geometry? Explain.
Answer: Yes
Step-by-step explanation:
If a triangle was inscribed onto the surface of a sphere, the sum of its interior angles will not add up 180 degrees. This is actually a method in differential geometry to see if a surface is flat or curved; see if the angles up to 180 degrees. Now, it depends on how large the triangle is. If we were to draw a triangle on the surface of the earth with lets say a piece of chalk, the angles will appear to add up to 180 degrees. The larger amount of surface that the triangle covers, the larger deviation you will get from 180 degrees.
Answer each question about the following arithmetic series: 12 18 24 30 . . . 198 what is the explicit rule for the arithmetic sequence on which the series is based? an = (n – 1)
Answer:
12 6
then 32
and 3360
Step-by-step explanation:
The explicit formula is an= 12+ (n-1)6.
What is Arithmetic progression?Arithmetic Progression (AP) is a sequence of numbers in order, in which the difference between any two consecutive numbers is a constant value. It is also called Arithmetic Sequence.
Given:
12 18 24 30 . . . 198
a=12
d= 6
So, an= a + (n- 1)d
an= 12+ (n-1)6
Hence, the explicit formula is an= 12+ (n-1)6.
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How would I solve this?
Answer:
second one
s/(2πh) = r
Step-by-step explanation:
You want to put the unknown value you are solving on 1 side and rest on the other side. In this case, you have to have r alone on one side.
s=2πrh
Since they are all multiplied with r, you divide them all on both sides to send them to other side.
s/(2πh) = 2πrh/ (2πh)
cancel out right side and it leaves r alone.
s/(2πh) = r
Find the sum of 150+143+136+…+(-102)+(-109) arithmetic series
Answer:
779
Step-by-step explanation:
Given Arithmetic series is: 150+143+136+…+(-102)+(-109)
Here,
First term (a) = 150
Common difference (d) = 143 - 150 = - 7
[tex]n^{th}\: term:\:a_n = -109[/tex]
The formula for [tex]n^{th}\: term[/tex] of an arithmetic series is given as:
[tex]a_n = a +(n-1)d[/tex]
Plugging the values of a, d and [tex]a_n[/tex] in the above formula, we will find the number of terms that exist from 150 to (-109)
[tex]-109 = 150+(n-1)(-7)[/tex]
[tex]\implies\: -109 -150=(n-1)(-7)[/tex]
[tex]\implies\: -259=(n-1)(-7)[/tex]
[tex]\implies\: \frac{-259}{-7}=(n-1)[/tex]
[tex]\implies\: 37=n-1[/tex]
[tex]\implies\: 37+1=n[/tex]
[tex]\implies\: n=38[/tex]
Thus, there are total 38 terms in the given Arithmetic series.
Now,
Sum of n terms of an arithmetic series is given by the formula: [tex]S_n=\frac{n}{2}(a +a_n)[/tex],
Plugging in the values, we find:
[tex]S_{38}=\frac{38}{2}[150 +(-109)][/tex]
[tex]\implies S_{38}=\frac{38}{2}[150 +(-109)][/tex]
[tex]\implies S_{38}=19[150 -109][/tex]
[tex]\implies S_{38}=19[41][/tex]
[tex]\implies S_{38}=779[/tex]
Ms. Gartland bought x number of shirts for the new members of her chorus. The cost for x number of shirt, including $3.99 shipping was $77.49 each shirt cost 12.25 there was no sales tax on this purchase. which equation could be used to find?
Answer:
12.25s + 3.99 = 77.49 would be your equation used to find the amount of shirts purchased.
When we solve the equation, we get 6 which is the quantity of shirts Gartland purchased.
Step-by-step explanation:
We know the shirts were 12.25 but we didnt know how much she pruchased leaving our shirts (s) unknown.
We added 3.99 for shipping and our total cost was 77.49
We do 12.25s + 3.99 (shipping) = 77.40 total cost
do the earth moves around the sun ...................... or do you think the sun moves around the earth
Answer:
earth moves around the sun...duh we have science to prove it......
Step-by-step explanation:
Answer: the earth moves around the sun
Step-by-step explanation:
The most direct observational evidence for Earth's orbital motion is the apparent shift of nearby stars after six months, as the Earth moves from one side of its orbit to the other. Because of the large distance to even the nearest start, this parallax shift is too small to been seen without a telescope.
help pls !! ♡
6. In the diagram of circle O, tangent PB is drawn as is secant PAC. We wish to prove the Secant/Tangent Length Theorem, i.e. PA·PC = PB2. (a) Explain why APAB is similar to APBC (i.e. explain which two angles pairs must be congruent and why). O® A P B (6) Set up a proportion involving PA, PB, and PC based on the similar triangles and rewrite it in product form. Draw the two similar triangles separately and in the same orientation to help. COMMON CORE GEOMETRY, UNIT #8 - CIRCLE GEOMETRY - LESSON #8 eMATHINSTRUCTION, RED HOOK, NY 12571, © 2018
The lines PC and PB are the secant and the tangent lines of the circle, while the proportion involving PA, PB, and PC is PA * PC = PB²
Why the triangles are similar triangles?The triangles are given as:
Δ PAB and Δ PBC
Both triangles have a common point at P.
This means that:
∠P ≅ ∠P --- reflexive property of congruent angles
Also, the angles at C and B are congruent:
This is represented as:
∠B ≅ ∠C
Both triangles have a common side length PB.
Hence, the triangles are similar by ASA similarity theorem
The proportion involving PA, PB, and PCThe similarity theorem in (a) is the ASA similarity theorem.
This means that:
PA : PB = PB : PC
Express as fraction
[tex]\frac{PA}{PB} = \frac{PB}{PC}[/tex]
Cross multiply the expressions
PA * PC = PB * PB
Evaluate the product
PA * PC = PB²
Hence, the proportion involving PA, PB, and PC is PA * PC = PB²
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9. What is the volume of the triangular prism
below?
5cm
3cm
4cm
3cm
Area of the prism
= (4x3)/2 x 5
= 30 cm^3
HELP PLS I'LL DO ANYTHING
Answer:
32/50 = 0.64 * 100 = 64%
Step-by-step explanation:
The row 'girls' represents the population of girls who answered the survey. There were 50 total, and 32 answered for brand A. 32/50 is the fraction representing the number of the total girls which answered brand A.
Answer:
Option A, 64%
Step-by-step explanation:
Step 1: Determine the percentage of girls that were surveyed that prefer Brand A cell phones
There are a total of 50 girl students and out of those 32 girls prefer Brand A cell phones. This means that 32/50 = 64% of all the girl students prefer a Brand A phone.
Answer: Option A, 64%
find the length of the segment with endpoints at (2, 7) and (8, -1)
Answer:
10
Step-by-step explanation:
→ Find the difference in x coordinates
8 - 2= 6
→ Find the difference in y coordinates
-1 - 7 = -8
→ Use Pythagoras
√6² + (-8)² = 10
How many solutions are there for the system of equations shown on the graph?
A. No solution
B. One solution
C. Two solutions
D. Infinitely many solutions
15 POINTS !!!!!
Answer:
D
Step-by-step explanation:
D because they are on the same line and that would make them infinite
pleaseeeee helpppppp!!!!
Answer:
A
Step-by-step explanation:
Any time you see the x value being repeated, it is most likely not a function. Since the x value of 3 in the answer B is repeated and have different y values, it is not a fuction.
Crispin is packing his photography equipment for a trip around the world. Since he will be visiting many different climates and environments, he has to think carefully about what and how he packs. Do research online to find different products that will help you answer these questions:
What are some types of equipment he will need?
What will he need to protect, maintain, and clean his photography equipment?
Answer:
wait in comments.................
Answer:
From wheelie bags and hard shell cases, to duffel bags, backpacks, hybrid packs, and day backs, there is a huge amount of choices when it comes to travel luggage Step-by-step explanation:
NO BOTS!! What’s The Answer of this math image?
Answer:
In part B the answer is 71.
Step-by-step explanation:
In the 3 lines the 2 uppermost and downer most lines look like they make up a 90 degree angle.. since the first one is 19 all we have to do is 90 - 19 which equals 71. Sorry I do not know the answer to part A :(
PLS ANSWER ASAP
There are 567 calories in nine ounces of a certain ice cream. How many calories are there in three pounds?
Before we start, we gotta acknowledge that one pound is 16 oz.
Okay, so to solve this we need to make a ratio. We know there are 567 calories for every 9 oz. That'll look like 567/9. And to compare this to pounds we have to convert those three pounds to ounces by multiplying: 3*16 = 48. So now we can grab that ratio and use cross multiplication to find the answer:
567/9 = x/48
9x = 567*48
9x = 27216
x = 3024
So there are 3024 calories in three pounds of the ice cream.
There are 3024 calories in a certain type of ice cream.
What is a unitary method?A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.
We know one pound is equal to 16 ounces.
So, 9 ounces is equal to 9/16 pounds.
Given, There are 567 calories in nine ounces of certain ice cream.
So, There are 567 calories in (9/16) pounds of certain ice cream.
Or, (567)/(9/16).
= 567×(16/9).
= 1008 calories in one pound.
Therefore, There is 1008×3 = 3024 calories in 3 pounds of ice cream.
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Which fraction is the smallest?
A. 1/10
B. 1/4
C. 2/5
D. 2/9
Answer:
1/10 is smallest. With fractions, as the bottom number(denominator) gets bigger, the fraction is actually getting smaller.
Solve the following:
-5²+10² / (2×(-5)×3)+3³
= -25+100 / (2×(-5)×3)+27
=-25+100 / -30+27
= 75/3
=25
HELP ASAP MY SIS NEEDS HELP AGAIN
Answer:
$128.10
Step-by-step explanation: (8 * 16.95) - 7.50(135.6) - 7.50128.1
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Find the area of the rectangle.
Answer:
10
Step-by-step explanation:
To find the area you multiply the length times the width. 5 x 2 = 10.
Answer:
b^7
Step-by-step explanation:
when you multiply numbers that have powers, you add them instead of multiplying.
You have some money in your wallet. You don't know the exact amount, but you think you have 60 dollars give or take 15 dollars. What is the difference between the largest and smallest weight of oranges in kilograms you can buy, if oranges cost 5 dollars/kg.
Answer:
The least amount is 75 dollars.
The biggest amount is 125 dollars
Step-by-step explanation:
The absolute value function will help us determine a range of possible values since we do not know the exact amount of money.
Defining the function.
Let x be the exact amount of money in my pocket, we can define the equation
And we know that the difference between the exact amount of money with 100 dollars must be either 25 dollars more than what we estimated, or 25 dollars less than the estimation. So we can write:
We have a difference inside an absolute value, since we know the difference must be either +25 or -25.
Solving for x
Using the definition of absolute value we have
So if the inside of the absolute value is positive we have the first line of the piece-wise function, that is
Solving for x give us
If the inside of the absolute value is negative we have to use the second line of the piece-wise function definition
Solving for x give us
So the least amount of money in my pocket is 75 dollars and the biggest amount is 125 dollars.
While studying abroad, Donna wants to make 3 batches of her mother's enchilada recipe to feed her classmates. The recipe calls for 22 oz of cheese for each
batch. The local market sells cheese by the gram. Howmany grams of cheese should Donna buy?
Use 1 oz = 28 g and do not round any computations.
Answer:
1848 grams of cheese.
Step-by-step explanation:
1 oz = 28 g.
28 x 22 = 616 g
616 g x 3 = 1848 g
Donna should buy 1848 grams of cheese.
why do we need to xompute for the circumference?
Finding the circumference of an object is important in the following scenarios: Whether you want to buy a bra, trousers, or sweater, you need to know the distance around your waist or chest.
I have pp how meany incehes is it ? A(5in B(100in C(50in D(10000in
Answer:
Non of the Above
Step-by-step explanation:
You are an Alpha male its atleast 2500ft
The line of best fit to model the data in the table is y = 5.2x – 0.4. a 2-column table with 5 rows. the first column is labeled x with entries 1, 2, 3, 4, 5. the second column is labeled y with entries 8, 13, 18, 23, 24. what is the residual for 5? –1.6 –0.6 0.6 1.6
From the line of the best fit y = 5.2x -0.4 for the considered data, the residual for x = 5 is given by: Option A: -1.6
How to find the residual value for a given input output pair?Suppose the given input output pair be (x,y) (actual data point)
Then suppose the prediction be y' from the line of best fit for that input x.
Then the residual value will be calculated for that point as:
Residual value = Actual value - Predicted value
Residual = y - y'
Here, we're given the data as:
x y
1 8
2 13
3 18
4 23
5 24
The line of best fit for this data is [tex]y= 5.2x -0.4[/tex]
For x = 5, the real corresponding y value is 24, and the predicted value is:
[tex]5.2(5) -0.4 = 25.6[/tex]
Thus, the residual for x=5 is: y - y' = 24 - 25.6 = -1.6
Thus, from the line of the best fit y = 5.2x -0.4 for the considered data, the residual for x = 5 is given by: Option A: -1.6
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Answer:
The answer is A: -1.6
Step-by-step explanation:
Doing the assignment on edge rn and got the question right
Divide 2kg in
the ratio 5 : 3
Answer:
[tex] \frac{5}{4} kg \: \frac{3}{4} kg[/tex]
Step-by-step explanation:
Simplify 2kg
[tex] \frac{5}{4} kg[/tex]
,
[tex] \frac{3}{4} kg[/tex]
i don't get it
-5/6x-3>1
Answer: [tex]x < -\frac{24}{5}[/tex]
Step-by-step explanation:
You have:
[tex]-\frac{5}{6} x-3 > 1[/tex]
Add 3 to both sides to get:
[tex]-\frac{5}{6} x > 4[/tex]
Multiply both sides by 6 to get:
[tex]-{5} x > 24[/tex]
Divide both sides by -5. When you divide an inequality by a negative number, you must switch the signs. Therefore:
[tex]x < -\frac{24}{5}[/tex]
Answer:
The equation is saying multiply or add negative 5/6 to x, then subtract by positive 3 which makes the number go upwards, but not making it positive, and lastly, the equation is saying the result will be greater than 1.
One of the values for x is 5, because...
[tex]-\frac{5}{6} * 5 = -4\frac{1}{6} - 3 = 7\frac{1}{6} > 1[/tex]
With that information, the statement is now complete and true. If you make 5 or anything more than 5 the value for x, the statement will still be true.
Note that I just used 5 as one of the solutions. There are many more than that.
trigonometric angles without a calculator
[tex]~~~~~~~\cos x = \dfrac{ \text{Base}}{\text{Hypotenuse}}\\ \\\\\implies \cos x= \dfrac{9}{18}\\\\\\\implies \cos x = \dfrac 12\\\\\\\implies x= \cos^{-1} \left( \dfrac 12\right)\\ \\ \\\implies x = 60^{\circ}[/tex]
I NEED HELP PLSSSSSS I HAVE NO TIME LEFT
Answer:
D
Step-by-step explanation:
The ratio of the width to the height would be 18:2, which simplifies to 9:1.
Solve the follwing please:
[tex]\dfrac{(-9-11)/(-4)}{-7^2+(11 \times 2^2)}\\\\=\dfrac{(-20)/(-4)}{-49+44}\\\\=\dfrac{5}{-5}\\\\=-1[/tex]