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3 years ago

The vertical line passing through the vertex of a parabola is called the

Mathematics

1 answer:

andrew-mc [135]3 years ago

7 0

Answer:

Axis of symmetry.

Step-by-step explanation:

We have been given an incomplete statement. We are supposed to complete the given statement.

Given statement: The vertical line passing through the vertex of a parabola is called the ________.

We know that a parabola is symmetric about axis of symmetry . The line passing through the vertex of parabola divides the parabola into two mirror images.

Therefore, the vertical line passing through the vertex of a parabola is called the the axis of symmetry.

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An experiment consists of rolling two fair number cubes. What is the probability that the sum of the two numbers will be >3

liraira [26]

Answer: $\bold{\dfrac{5}{12}}$

Step-by-step explanation:

greater than 3 means the sum is either 4, 5, or 6.

There are 15 permutations that meet the criteria:

(1, 3), (1, 4), (1, 5), (1,6)

(2, 2), (2, 3), (2, 4), (2, 5), (2,6)

(3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3,6)

(4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4,6)

(5, 1), (5, 2), (5, 3), (5, 4), (5, 5), (5,6)

(6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6,6)

There are 6²= 36 total permutations for 2 dice.

$Probability=\dfrac{\#\ of\ permutations> 3}{total\ \#\ of\ permutations}\\\\.\qquad \qquad =\dfrac{15}{36}\\\\.\qquad \qquad =\dfrac{5}{12}\\\\$

3 0

3 years ago

Can someone please help me please

Assoli18 [71]

A
Volume of the Cylinder
Givens
H = 60 yards.
Diameter = 20 yards
pi = 3.14

Formula
V = pi * r^2 * h

Calculations
r = d/2
r = 32/2
r = 16

V = 3.14 * 16^2 * 60
V = 48230 cubic yards [Cylinder's Volume]

Cone
Formula
V = 1/3 pi r^2 H

Givens
pi = 3.14
r = 16 yards
h = 20 yards

Sub and solve
V = 1/3 3.14 * 16^2 * 20
V = 5359 cubic yards.

Total Volume of the structure
48230 + 5359 = 53589 Cubic Yards

Water Content
The answer to this part requires a proportion.

1 Cubic yard will hold 201.97 gallons.
53589 yd^3 = x

1/201.97 = 53589 /x [ You should get a pretty big answer]
x = 201.87 * 53589
x = 10 819 092 gallons can be held by the tank.

10 819 092 gallons <<<< answer

B
If the height of both the cylinder and the cone remain the same. If the radius doubles in both the cylinder and the cone then the tank will hold 4 times as much.

Total volume before doubling the radius = pi * r^2 h + 1/3 pi r^2 h
New Total Volume = pi * (2*r)^2 h + 1/3 pi * (2r)^2 h
New Total volume = pi * 4r^2 h + 1/3 pi *4 r^2 h
New Total Volume = 4 [pi r^2 h + 1/3 pi r^2 h]
but pi r^2 h + 1/3 pi r^2 h is the total volume before doubling the radius

New volume = 4 original volume. <<<<< answer to part B

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3 years ago

The sound intensity of a typical vacuum cleaner is 80 dB (decibels). Sound intensity of 160 dB will burst an eardrum. How many t

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Answer:

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Lebo buys blank writable CDs in bulk. He repackages them and sells them

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Answer:

He must sell each CD for R1,10 to make 40% profit

Step-by-step explanation:

R40×5%=2

R40-2=R38

40%×38=R15,2

15,2+40=55,2

55,2÷50=R1,10

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3 years ago

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Answer:

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