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3 years ago

Name the conic section formed when a plane cuts a right circular cone parallel to its base.

Mathematics

1 answer:

gregori [183]3 years ago

4 0

Answer:

option 1.

circle

Step-by-step explanation:

A section is formed when a solid shape is sliced into two. A conic section is therefore formed when a cone, is sliced into two.

What determines the shape of the section now, is the angle at which the cone was sliced.

Normally, the base of a cone is a circle. If we slice a cone using a straight line, which runs parallel to its base, we will still get another perfect cone, but with a smaller height.

If we look at the flat portion of the cone after it has been sliced, we will see that the cross-section is a circle.

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Solve the equation for y.<br><br> 8x – 9y = 11

gavmur [86]

8x - 9y = 11

Subtract 8x to both sides:

-9y = -8x + 11

Divide -9 to both sides:

y = 8/9x - 11/9

or

y = 8/9x - 1 2/9

4 0

3 years ago

Read 2 more answers

Plz do this and show all the work. Use factoring

Anika [276]

Answer:
x1=-1, x2=4/5

Step by step explanation:
5x^2 - 4 + x = 0
Use the commutative property to reorder the terms:
5x^2+x-4=0
Write x as a difference:
5x^2+5x-4x-4=0
Factor out 5x from the expression:
5xx(x-1)-4x - 4=0
Factor out -4 from the expression:
5xx(x+1) - 4 (x-1)=0
Factor out x+1 from the expression:
(x-1) x (5x-4) =0
When the product of factors equal 0 at least one factor is 0
X + 1 = 0
5x - 4 = 0
Solve the equation:
The equation has two solutions
X1=-1, x2 = 4/5

3 0

3 years ago

Finn and Ellie sell oranges at a produce stand. Finn earns $5 for each crate of oranges he sells. At the end of the week, Ellie

KatRina [158]

The second term in the expression represents a. Finn's earnings at the end of the week.

To answer the question, we need to know what mathematical expressions are.

<h3>What are mathematical expression?</h3>

Mathematical expressions are expressions that show the relationship between two variables.

<h3>Finn's earnings</h3>

Now, let z be the number of crates Finn sold.

Since Finn earns $5 per crate, the total amount he earns at the end of the week is t = amount per crate × number of crates

= 5 × z

= 5z

<h3>Ellie's earnings</h3>

Now since Ellie earns $20 more than Finn, the amount Ellie earns is

T = 20 + t

= 20 + 5z.

So, 5z the second term in the expression represents Finn's earnings at the end of the week.

So, the second term in the expression represents a. Finn's earnings at the end of the week.

Learn more about mathematical expressions here:

brainly.com/question/11258067

#SPJ1

3 0

2 years ago

Max has been offered positions by two car companies. The first company pays a salary of $12,500 plus commission of $1500 for eac

adell [148]

Answer:

5 Cars

Step-by-step explanation:

Let the number of cars to be sold to make the total pay equal be x.

The first company pays a salary of $12,500 plus commission of $1500 for each car sold.

Algebraically written as: 12500+1500x

The second company pays a salary of $17,500 plus a commission of $500 per car sold.

Algebraically written as: 17500+500x

Equating both sides

12500+1500x=17500+500x

Collect like terms

1500x-500x=17500-12500

1000x=5000

Divide both sides by 1000

x=5

Therefore, when 5 cars are sold, the total pay would be the same.

7 0

3 years ago

PLEASE HELP?? If arc AB = 70°, how many degrees are in ∠ ADB? A) 35° B) 50° C) 70° D) 110°

defon

Answer:

∠ADB=35°

Step-by-step explanation:

Given arc AB = 70°.

we have to find the angle ∠ADB

Here, Angle subtended by arc AB at O is ∠AOB = 70°

By the theorem,

The angle subtended by an arc at the center is double the angle subtended by it at any point on the remaining part of the circle.

∴ ∠AOB=2(∠ADB)

⇒ $\angle ADB=\frac{1}{2}\angle AOB=\frac{1}{2}70^{\circ}= 35^{\circ}$

hence, angle subtended at the circumference is 35°

3 0

3 years ago