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liraira [26]
3 years ago
15

Two cones are cut by a plane as shown, where the plane is perpendicular to the bases. The cross-section of the cones and the pla

ne is
Mathematics
1 answer:
Sladkaya [172]3 years ago
6 0

Answer:

Answer:

Hyperbola

Step-by-step explanation:

A conic section is a figure formed by the intersection of a plane and a circular cone. Depending on the angle of the plane with respect to the cone, a conic section may be a circle, an ellipse, a parabola, or a hyperbola.

When the cutting plane is perpendicular to the bases, then two cones connected by vertex will give a hyperbola

THus a hyperbola is formed when two cones are cut by a plane perpendicular to the bases of the cones.

Answer is hyperbola

The line joining the foci is called the principal axis and the points of intersection of the conic with the principal axis are called the vertices of the conic. The line segment joining the vertices of a conic is called transverse axis in the hyperbola

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A container in the shape of this cuboid holds 2 litres of water.
zysi [14]

Given:

Volume of cuboid container = 2 litres

The container has a square base.

Its height is double the length of each edge on its base.

To find:

The height of the container.

Solution:

We know that,

1 litre = 1000 cubic cm

2 litre = 2000 cubic cm

Let x be the length of each edge on its base. Then the height of the container is:

h=2x

The volume of a cuboid is:

V=l\times w\times h

Where, l is length, w is width and h is height.

Putting V=2000,\ l=x,\ w=x,\ h=2x, we get

2000=x\times x\times 2x

2000=2x^3

Divide both sides by 2.

1000=x^3

Taking cube root on both sides.

\sqrt[3]{1000}=x

10=x

Now, the height of the container is:

h=2x

h=2(10)

h=20

Therefore, the height of the container is 20 cm.

8 0
3 years ago
Eight more than three times a number is 32
NemiM [27]

Answer:

3 times 8 = 24  + 8 = 32

Step-by-step explanation:

5 0
2 years ago
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Students at Maple school earned $708 selling candles. They want to accumulate $2000 for a club trio. What percent of their goal
Sholpan [36]

Answer:

<u>The correct answer is 35.4%</u>

Step-by-step explanation:

Let's check the information provided in the question:

Savings goal = US$ 2,000 for the club trip

Earnings for the candles selling = US$ 708

For calculating the accumulated percentage, we can do it this way:

Accumulated percentage = Earnings / Savings goal

Accumulated percentage = 708 / 2,000 * 100

Accumulated percentage = 0.354 * 100

<u>Accumulated percentage = 35.4%</u>

<u>Students at Maple School has accumulated 35.4% of their savings goal with the candles selling.</u>

5 0
3 years ago
Plzzz help with all of the questions and plzZZZzZz show work I really need help I’m not understanding help with all the question
statuscvo [17]

Answer:

slope of EF=\frac{5}{3}  

∠QSR=45°,

∠PTQ=90°

if  RT=24

then SQ=48

square is always a rectangle

∠SUT=21°

Step-by-step explanation:

two line are perpendicular to each other if product of their slope equal to -1

m_{1}\times m_{2}=-1

slope of HE=m_1=-\frac{3}{5}

slope of EF=m_2

slope of EF=-1\frac{-5}{3}=\frac{5}{3}

slope of EF=\frac{5}{3}    answer

∠QSR=45°,

∠PTQ=90°

if  RT=24

then SQ=48

square is always a rectangle

given ∠SUT=3x+6

        ∠RUS=5x-4

∠SUT=∠RUS

3x+6=5x-4

x=5

∠SUT=3x+6=15+6=21°

∠SUT=21°

5 0
3 years ago
Round what does 168 356 to the nearest ten thousand
Vesna [10]
168,356. the ten thousand is the 6. To find the estimate, the one would stay there and the six would become a seven because the eight eight before the six is above five. All in all, the answer is 170.000
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3 years ago
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