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Georgia [21]
3 years ago
11

The lateral surface area of cone A is equal to the lateral surface area of cylinder B.

Mathematics
1 answer:
Natasha2012 [34]3 years ago
4 0

Answer:

TRUE

Step-by-step explanation:

Lateral area of cone is given by: πrl

where r is the radius and l is the slant height

Here r=r and l=2h

Hence, lateral area of cone A= π×r×2h

                                            =  2πrh

Lateral area of cylinder is given by: 2πrh

where r is the radius and h is the height

Lateral area of cylinder B=2πrh

Clearly, both the lateral areas are equal

Hence, the statement that:The lateral surface area of cone A is equal to the lateral surface area of cylinder B. is:

True

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This recipe makes 4 portions of potato soup.
Dominik [7]

Answer:

120 ml oil

150g onions

1.2 kg potatoes

1.5 litres milk

Step-by-step explanation:

The revipe serves 4 people, but Richard wants to serve 12 people. This is 3x the number of people intended.

So, multiply all the fiven ingredients by 3 as well.

Oil = 40ml x 3 = 120ml

Onions = 50g x 3 = 150g

Potatoes = 400g x 3 = 1200g = 1.2 kg

Milk = 500ml x 3 = 1500ml = 1.5 litres

Hope this helps

4 0
3 years ago
Read 2 more answers
AB = 3 + x
ICE Princess25 [194]

The given quadrilateral ABCD is a parallelogram since the opposite sides are of same length AB and DC is 4 and AD and BC is 2.

<u>Step-by-step explanation</u>:

ABCD is a quadrilateral with their opposite sides are congruent (equal).

The both pairs of opposite sides are given as AB = 3 + x , DC = 4x , AD = y + 1 , BC = 2y.

  • AB and DC are opposite sides and have same measure of length.
  • AD and BC are opposite sides and have same measure of length.

<u>To find the length of AB and DC :</u>

AB = DC

3 + x = 4x

Keep x terms on one side and constant on other side.

3 = 4x - x

3 = 3x

x = 1

Substiute x=1 in AB and DC,

AB = 3+1 = 4

DC = 4(1) = 4

<u>To find the length of AD and BC :</u>

AD = BC

y + 1 = 2y

Keep y terms on one side and constant on other side.

2y-y = 1

y = 1

Substiute y=1 in AD and BC,

AD = 1+1 = 2

BC = 2(1) = 2

Therefore, the opposite sides are of same length AB and DC is 4 and AD and BC is 2. The given quadrilateral ABCD is a parallelogram.

6 0
3 years ago
La distancia en Km. De Santo Domingo a Puerto Plata está dada por la expresión D = 4x³- 10x² -6. ¿Cuál es la distancia aproximad
neonofarm [45]

Answer:

The distance when x = 6km is D = 498 KM

Step-by-step explanation:

Here, given the formula for the distance, we want to find the distance D given the value of x to be 6km

What we do simply here is to substitute the value 6km as x in the equation

The equation is

D = 4x^3 - 10x^2 -6

Substituting x = 6, we have

D = 4(6^3) -10(6^2) -6

D = 864-360-6

D = 498 km

8 0
3 years ago
Graph the following systems of equations and determine the solution of the system .​
Zanzabum

Answer:

We can find the solution to a system of equations by graphing the equations. Let's do this with the following systems of equations:

8 0
3 years ago
Find the area of the figure.
exis [7]

Answer:

the area is 384 in.

Step-by-step explanation:

split the figure in two pieces

12 x 12 = 144 in.

20 x 12 = 240 in.

144 + 240 = 384 in.

the total Area of the figure Is 384 in.

6 0
3 years ago
Read 2 more answers
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