A right circular cone is intersected by a plane that passes through the cone's
vertex and is perpendicular to its base, as in the picture below. What is
produced from this intersection?
OA. A pair of parallel lines
B. A single line
OC. A point
OD. A pair of intersecting lines

Answers

Answer 1

Answer:

D. A pair of intersecting lines

Step-by-step explanation:

A conic section is a fancy name for a curve that you get when you slice a double cone with a plane. Imagine you have two ice cream cones stuck together at the tips, and you cut them with a knife. Depending on how you cut them, you can get different shapes. These shapes are called conic sections, and they include circles, ellipses, parabolas and hyperbolas. If you cut them right at the tip, you get a point. If you cut them slightly above the tip, you get a line. If you cut them at an angle, you get two lines that cross each other. That's what happened in your question. The plane cut the cone at an angle, so the curve is two intersecting lines. That means the correct answer is D. A pair of intersecting lines.

I hope this helps you ace your math question.


Related Questions

An engineer is monitoring the liquid level in two tanks as they are being filled. The volume of the tank A after x minutes is represented by the equation y=75x +110. For tank B the engineer has created a table, shown below, from measurements taken while the tank is being filled

Answers

The two tanks differ in terms of Filling rates and initial volumes.

We can work with the equation for tank A, which represents a linear relationship between the volume of liquid in the tank (y) and the time it has been filling (x).

The equation y = 75x + 110 tells us that the tank A is filling at a constant rate of 75 units per minute, starting with an initial volume of 110 units.

To analyze the data for tank B, we would need to know the volumes of the tank at different times as it is being filled.

If the relationship for tank B is also linear, we could find the equation that represents it by using two points from the table and the slope-intercept form of a linear equation (y = mx + b). Once we have both equations, we can compare them to see how the two tanks differ in terms of filling rates and initial volumes.

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An engineer is monitoring the liquid level in two tanks as they are being filled. The volume of the tank

2. Regina Aguirre deposits $2,000 into an ordinary annuity after each 6-month period for 4 years. The account
pays 6% interest compounded semiannually. Find the a) future value, and b) total interest earned.

Answers

The future is 250 & the total interest earned is 24.

If 1 liter = 1.057 quarts, about how many liters are in 1 gallon of milk? Round to the nearest liter.

Answers

Answer:

3.78541 liters (sorry I'm horrible at rounding)

find the mean and median of 1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,5,5,5,5,5

Answers

Answer:

Mean - 3.3793103448276

Median - 3

Step-by-step explanation:

Define:

Mean ⇒ Average

Median ⇒ Middle Number

Solve:

Mean ( Adding all number then divide by total number in data set)

1 + 1 + 2+2+2+2+3+3+3+3+3+3+3+3+3+4+4+4+4+4+4+4+4+5+5+5+5+5=94

94/29 = 3.3793103448276

Mean - 3.3793103448276

Median ( Find Middle Number)

1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,5,5,5,5,5

Kavinsky

can someone explain how 1/4 × 900/1 is equal to 225, my mom is asking for an explanation and I used a calculator help me ​

Answers

Answer:

See below

Step-by-step explanation:

\( \frac{1}{4} \times \frac{900}{1} \\ \\ = \frac{1 \times 900}{4 \times 1} \\ \\ = \frac{900}{4} \\ \\ = \frac{9 \times \cancel {100} }{\cancel4} \\ \\ = 9 \times 25 \\ \\ = 225\)

Answer:

four of 225 makes 900/1, or 900. So, one 225 should be one of the four 225s that equal 900. 1/4 × 1/900, or 1/4 of 900, should be 225.

Convert from radians to degrees.

1/4π

Answers

1/4π radians is approximately equal to 45 degrees.

To convert a value from radians to degrees, multiply the value by 180/π. For example, to convert π/4 radians to degrees, multiply π/4 by 180/π to get 45 degrees. This conversion is useful for converting angles between the two units of measurement.

Degrees = Radians × 180/π.

Therefore, to convert 1/4π radians to degrees, we have:

Degrees = (1/4π) × (180/π) ≈ 45°

Hence, 1/4π radians is approximately equal to 45 degrees.

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A basic cellular package costs $40 /month for 60 minutes of calling with an additional charge of $0.20 /minute beyond that time. The cost function C(x) for using x minutes would be

If you used 60 minutes or less, i.e. if if x≤60 , then C(x)=40 (the base charge).
If you used more than 60 minutes, i.e. (x−60) minutes more than the plan came with, you would pay an additional $0.20 for each of those (x−60) minutes. Your total bill would be C(x)=40+0.20(x−60) .


If you want to keep your bill at $50 or lower for the month, what is the maximum number of calling minutes you can use?

Answers

Answer:

78

exclamation is that if 50 is lower than 60 which it is meaning that 78 is the correct answer if you multiply 18 + 34 that is not the right answer but there should be a right answer under this question you shouldn't trust me because I do not give a what the answer is I do not suggest you write down this answer but you do your top G

The maximum number of calling minutes you can use to keep your bill at $50 or lower is 110 minutes. If you use 110 minutes or less, your bill will not exceed $50.

To keep your bill at $50 or lower for the month, you need to set up an inequality using the cost function C(x):

C(x) = 40 + 0.20(x - 60)

Since you want to keep the cost at or below $50, the inequality is:

C(x) ≤ 50

Now, substitute the expression for C(x) into the inequality:

40 + 0.20(x - 60) ≤ 50

40 + 0.20x - 12 ≤ 50

0.20x + 28 ≤ 50

Now, isolate the term with "x" on one side by subtracting 28 from both sides:

0.20x ≤ 50 - 28

0.20x ≤ 22

Finally, divide both sides by 0.20 to solve for "x":

x ≤ 22 / 0.20

x ≤ 110

The maximum number of calling minutes you can use to keep your bill at $50 or lower is 110 minutes. If you use 110 minutes or less, your bill will not exceed $50.

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Please help this is due today it's really important!!!

Please help this is due today it's really important!!!

Answers

Answer:

x=7

Step-by-step explanation:

Since the two angles are equal in this triangle must be an isosceles triangle.

Since this triangle is an isosceles the two side lengths must be equal:

So:

5x-2 = 33

Add 2 to both sides and simplify:

5x-2+2 = 33+2

5x = 35

Divide both sides by 5 and simplify:

5x÷5 = 35÷5

x = 7

All 20 children at a party were given one cookie, and then some were given an additional cookie. If a total of
32 cookies were given out, how many children received an additional cookie?
8
O 10
О о о
O 12
o 14

Answers

Answer:

If there were 20 children at a party, and each were given one cookie, then a total of 20 cookies were given out.

However, this is not the case, as 32 cookies were given out. So, we can see that 32 - 20 children, or 12 children, received one additional cookie.

Let me know if this helps!

A student measures the mass of a sample is 2.7 grams. What is the percent error, given that the correct mass is 2.58 grams? Round to the nearest hundredth of a percent.

Answers

Answer:

the percent error in the student's measurement is 4.65%.

Step-by-step explanation:

The percent error can be calculated using the formula:

| (measured value - actual value) / actual value | * 100%

In this case, the measured value is 2.7 grams and the actual value is 2.58 grams. Substituting these values into the formula, we get:

| (2.7 - 2.58) / 2.58 | * 100% = 4.65%

Rounding this to the nearest hundredth of a percent, we get a percent error of 4.65%.

Therefore, the percent error in the student's measurement is 4.65%.

Does the graph represent a function? Why or why not ?

Does the graph represent a function? Why or why not ?

Answers

Answer:

A.

Step-by-step explanation:

The vertical line test is a way of finding out if a relation is a function.

Graph the relation.

Then imagine a vertical line moving from left to right over the graph of the relation.

If the vertical line intersects at most one point of the graph in any position you place the vertical line, then the relation is a function.

This function passes the vertical test since it never intersects more than one point on the vertical line at a time.

Answer: A.

Find the value of ​f(​3) for the function. f(3)=-5(x+5)

Answers

Answer:

Step-by-step explanation:

f(3)=-5(x+5)

     =5(3) +5

     =15+5

f(3)      =20

Consider each statement about finding the measurements of triangles. Choose True or False for each statement.

A. If you know the measures of the three angles of a triangle, you can find the lengths of the sides.
True or False
B. If you know the lengths of the three sides of a triangle, you can find the measures of the angles.
True or False
C. If you know the measures of the two sides of a triangle and the measure of an angle not included between the two sides, you can solve the triangle. True or False

Answers

Answer:

c

Step-by-step explanation:

Measurement of triangle

Measure of 3 angles find length is true.Lengths of 3 sides for angles is true.Measures of angles not included the two sides is false.What is the measure of the triangle?

The measure of the triangle is the sum of 3 interior angles of the triangle. This is always 180 degrees, as a triangle has 3 sides and 3 angles.

The measure of the three sides of the triangle can help in finding out the angles and similarly the three angles can help to find the length. If we consider two sides and then measure the angle then the triangle can't be solved.

Find out more information about the measurements of triangles.

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sooo like I need some help?

sooo like I need some help?

Answers

Answer:

11?

Step-by-step explanation:

The missing side is 4 so 4+4+3=11.. Maybe?

Answer:

4^2 +3^2 =5^2

=25

Step-by-step explanation:

Pythagorean Theorem.

Solve the equation for x.
Show work

3.5(x +2) = 17

Answers

Answer: x = \(\frac{20}{7}\)

(or)

x = 2.86 ( rounded )

Step-by-step explanation:

3.5(x +2) = 17

3.5x + 7 = 17

3.5x = 17 - 7

3.5x = 10

x = 10/3.5

x = \(\frac{20}{7}\)

(or)

x = 2.86 ( rounded )

Find the unit rate (constant of proportionality) of the distance traveled.
Number of hours
0.25 1.5 2.5 3
Distance traveled (km) 3 18 30 36

Answers

Answer:

12.

Step-by-step explanation:

if to re-write the given condition, then

\(\frac{3}{0.25} =\frac{18}{1.5} =\frac{30}{2.5} =\frac{36}{3} ;\)

it is clear, the required constant is 12 (12 per hour).

PLEASE ANSWER AT LEAST 1. IF YOU ANSWER 2 I WILL GIVE BRAINEST, THANKS, 5 STARS, AND EXTRA 50 POINTS! 20 POINTS FOR EACH QUESTION ANSWERED. PLEASE HELP!!!

1. A student is helping a family member build a storage bin for their garage. They would like for the bin to have a volume of 240 ft3. If they already have the length measured at 8 feet and the width at 6 feet, what is the height needed to reach the desired volume?

2. The volume of a rectangular prism is 6,142.5 cm3. If the height is 16.25 cm and the length is 28 cm, what is the value of the width?

3. If the volume of a rectangular prism is 26,214 m3 and it has a height of 17 m, what is the value of B, the area of the base?

4. What is the volume of a rectangular prism with a length of 15 yards, a width of 8 yards, and a height of 5 yards?

5. A teacher purchased a fish tank for her classroom. The dimensions of the tank are 36 inches by 60 inches by 48 inches. What is the maximum amount of water that the tank can hold?

Answers

Answer:

2nd ones answer is 13.5 m.

4th ones answer is 600 yard³.

5th ones answer 86400 cm³/m³

Please give 20 point for each question.

Find the value of x.




i need help

Find the value of x.i need help

Answers

Answer:

1. x=7

2. x=6

3. x=6

4. x=4

5.x=70 degrees

6. x=75 degrees

Step-by-step explanation:

My answers may not be correct.

In a survey of 3,300 people who owned a certain type of​ car, 990 said they would buy that type of car again. What percent of the people surveyed were satisfied with the​ car?

Answers

Answer:

30%

Step-by-step explanation:

990/3300x100=30%

What the meaning of "f is order-preserving if x < y implies f(x) < f(y)"?

What the meaning of "f is order-preserving if x &lt; y implies f(x) &lt; f(y)"?

Answers

An order-preserving function is a function that preserves the order of its inputs. In other words, if x is less than y, then f(x) will be less than f(y).

The statement "f is order-preserving if x < y implies f(x) < f(y)" means that if x is less than y, then f(x) must be less than f(y). This is a necessary condition for a function to be order-preserving. However, it is not a sufficient condition. For example, the function f(x) = x^2 is not order-preserving, because 2 < 3, but f(2) = 4 > f(3) = 9.

In summary, order-preserving functions are useful in situations where we need to preserve the order of a set of data.

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Need help Please, someone thanks

Need help Please, someone thanks

Answers

Answer:

x = 5

Step-by-step explanation:

The axis of symmetry is the vertex x coordinate

Need help Please, someone thanks

you deposit $500 inna saving account tgat earns 2% intrest componded anually each year. How much money is in your account after 4 years? HINT y=a(l+r) ^t

Answers

The amount of money in your account after 4 years would be $541.22.

We might utilize the accompanying recipe to work out how much money will be in your ledger following four years with a 2% yearly funding cost:

A = P(1 + r)ᵗ

Where:

A is the final amount.

P is the principal amount(initial deposit).

r means the interest rate (in decimal structure).

t is the number of years

Given:

P = $500

r = 2% = 0.02 (expressed as a decimal)

t = four years

Associating these qualities to the situation:

A = $500(1 + 0.02)⁴

Making the condition:

A = $500(1.02)⁴

A = $500(1.082432)

A ≈ $541.22

Subsequently, following four years, the cash in your ledger would be around $541.22.

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A market research company was interested in comparing three communities A, B and C to determine whether there are any differences in their use of water filters in homes. Each of 100 homeowners sampled from each community was asked whether or not they have installed water-filtering system in their homes. Their responses (Yes or No) are summarized in the following contingency table.

Use Filters
Community | Yes | No
A 62 38
B 58 42
C 73 27

a) Clearly state the null and alternative hypotheses in this problem.

b) Calculate the expected count for the bottom right cell (i.e., Community ‘C’ and ’No’), and explain what the number means.

c) The Chi-square statistic has been calculated to be 13.22. What can we conclude from this finding?

Answers

a) The null hypothesis is that there is no difference in the proportion of homeowners using water filters among the three communities. The alternative hypothesis is that at least one community has a different proportion of homeowners using water filters than the other communities.

b) To calculate the expected count for the bottom right cell, we can use the formula:

Expected count = (row total x column total) / grand total

The row total for Community C and the column total for No are both 100, and the grand total is 300. Therefore:

Expected count = (100 x 100) / 300 = 33.33

The expected count of 33.33 for the bottom right cell means that if there were no difference in the proportions of homeowners using water filters among the three communities, we would expect 33.33 of the 100 homeowners in Community C to answer 'No' to the question about water filters.

c) To determine what we can conclude from the Chi-square statistic of 13.22, we need to compare it to the critical value for a Chi-square distribution with (3-1) x (2-1) = 2 degrees of freedom at the desired level of significance. Let's assume a level of significance of 0.05. From a Chi-square distribution table, the critical value with 2 degrees of freedom at 0.05 level of significance is 5.99.

Since 13.22 is greater than 5.99, we can reject the null hypothesis and conclude that there is a significant difference in the proportion of homeowners using water filters among the three communities. However, we cannot determine from this test alone which communities have different proportions of homeowners using water filters. We would need to conduct further tests, such as post-hoc tests, to investigate the specific differences among the communities.

It takes Emiliano 20 minutes to walk 80% of the way to school. How long does it take intotal for Emiliano to walk to school

Answers

Answer:

20 (.8) = 16

It takes him 16 minutes to walk to school.  

This is because 80% as a decimal is .8 and you multiply that by how long it takes Person A to walk and you get 16.

The number of minutes that Emiliano walks to school will be 25 minutes,

What is the percentage?

The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates for one hundred percent. It is symbolized by the character '%'.

The percentage is given as,

Percentage (P) = [Final value - Initial value] / Initial value x 100

It takes Emiliano 20 minutes to walk 80% of the method for tutoring.

Let 'x' be the final time taken. Then we have

80% = (20 / x) × 100

0.80 = 20 / x

x = 20 / 0.80

x = 25 minutes

The number of minutes that Emiliano strolls to school will be 25 minutes,

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let $l$ be the line with equation $\dbinom{10}{3} \dbinom{-2}{1}t$. let $\mathbf{v}$ be a vector from the origin to a point on $l$. find the minimum value of $\|\mathbf{v}\|$.

Answers

The minimum value of \($\|\mathbf{v}\|$\) is zero.

The minimum value of \($\|\mathbf{v}\|$\) is zero, as it is the distance between the origin and a point on the line. To solve this problem, the formula \($\|\mathbf{v}\| = \sqrt{x^2 + y^2}$\) can be used, where x and y are the coordinates of the point on the line. Since the equation of the line is \($\dbinom{10}{3} \dbinom{-2}{1}t$\), the coordinates of the point on the line can be found by substituting \($t = 0$: $x = 10 \cdot 0 - 2 \cdot 0 = 0$, and $y = 3 \cdot 0 + 1 \cdot 0 = 0$\) . Substituting these values into the formula for \($\|\mathbf{v}\|$ gives $\|\mathbf{v}\| = \sqrt{0^2 + 0^2} = 0$\). Therefore, the minimum value of \($\|\mathbf{v}\|$\) is zero.

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14. Team 8A is selling snacks at the football game to raise money for a field trip. They are selling popcorn for $2.50 and pretzels for $2. They have raised a total of $280 and have of 130 items. How many of each item did they sold a total sell?​

Answers

Answer:

40 popcorns and 90 pretzels sold.

============

Let the number of popcorns is x and pretzels is y.

Set up equations:

x + y = 1302.5x + 2y = 280

Solve by elimination, multiply the first equation by 2 and subtract from the second equation:

2.5x + 2y - 2x - 2y = 280 - 2*1300.5x = 280 - 2600.5x = 20x = 20/0.5x = 40

Find y:

40 + y = 130y = 130 - 40y = 90

Answer:

90 pretzels and 40 popcorn.

Step-by-step explanation:

This problem can be solved using a linear equation system.

Let's give each product a varaible:

x= popcorn.

y= pretzels.

Now, let's set up the equation system:

1. x+y=130

(Means that they have sold a total of 130 items of both products combined).

2. 2.5x+2y= 280

Now, let's solve the equation system through the substitution method.

Take one of the equations and extract a value of one of the variables:

From equation 1, solving for x, x=130-y.

Now, use that expressión and substitute it by x in equation 2:

2.5(130-y)+2y= 280

Now, let's find the value of y.

2.5(130-y)+2y= 280

325-2.5y+2y=280

-2.5y+2y=280-325

-0.5y= -45

y= -45/-0.5

y= 90

Now, use that value of y in equation 1 to find the value of x:

x+(90)=130

x=130-90

x=40

We have that y= 90 and x=40, translated to textual language, Pretzels=90 and Popcorn= 40.

What is the measure of the angle?​

What is the measure of the angle?

Answers

Answer:

it a 90 degree angle hope this helps:)

Step-by-step explanation:

90 degrees. Hope this helps…………

What is the effect of X on Y?

Answers

Answer:

GMM,pooled OLC,even cross country OLC are most variables not difficult panel data analysis

What is the value of x when h(x) = −3?
1. −7
2. −1
3. 0
4. 2

What is the value of x when h(x) = 3?1. 72. 13. 04. 2

Answers

Answer:

1. −7

Step-by-step explanation:

--------------------------------------------------------

Answer:

2) x = -7

Step-by-step explanation:

What is the value of x when h(x) = −3?

When h(x) = -3, x = -7

Hope this helps!

Help me please look at the picture !

Help me please look at the picture !

Answers

The value of angle Y (m∠Y) in the given parallelogram is determined as 112⁰.

What is the value of angle Y?

The value of angle Y is determined by applying the principle of a quadrilateral for the given parallelogram as shown below.

The adjacent angles of a parallelogram are supplementary, that is they add up to 180 degrees, while the opposite angles are equal or congruent.

From the given diagram angle W = angle Y (opposite angles)

angle W + angle Z = 180 (adjacent angles )

angle W = 180 - angle Z

angle W = 180 - 68

angle W = 112

Therefore, angle Y (m∠Y) = 112⁰.

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