At 7:00 one Summer morning Harry and Hermione hopped into their speedy more motorboat and left Hogwarts dock. They arrived at Dumbledore Wharf 35 minutes later. During the busy summer months a car ferry departs from Dumbledore wharf every five minutes. Tourists crowd onto the ferry for the 55 minute ride to Hogswarts dock. If Harry and Hermione followed the route that the car ferries take, how many car ferries did they see on their trip?

Answer:

A point on the ellipsoid is (-4,2,2) or (4,-2,-2)

Step-by-step explanation:

Given equation of ellipsoid f(x,y,z) :[tex]x^2+y^2+4z^2=36[/tex]

Parametric equations:

x=-4t-1

y=2t+1

z=8t+3

Finding the gradient of function

[tex]\nabla f(x,y,z)=<\frac{\partial{f}}{\partial{x}},\frac{\partial{f}}{\partial{y}},\frac{\partial{f}}{\partial{z}}>\\\nabla f(x,y,z)=<2x,-2y,8x>[/tex]

So, The directions vectors=(-4,2,8)

Now the line is perpendicular to plane when direction vector is parallel to the normal vector of line

[tex]\nablaf(x,y,z)=(2x,2y,8z)=\lambda(-4,2,8)[/tex]

So, [tex]2x=-4\lambda[/tex]

[tex]\Rightarrow x=-2\lambda[/tex]

[tex]2y=2\lambda\\\Rightarrow y=\lambda\\8z=8\lambda\\\Rightarrow z=\lambda[/tex]

Substitute the value of x , y and z in the ellipsoid equation

[tex](2\lambda)^2+(\lambda)^2+4(\lambda)^2=36\\9(\lambda)^2=36\\\lambda^2=4\\\lambda=\pm 2[/tex]

With [tex]\lambda = 2[/tex]

x=-2(2)=-4

y=2

z=2

With[tex]\lambda =- 2[/tex]

x=-2(-2)=4

y=-2

z=-2

Hence a point on the ellipsoid is (-4,2,2) or (4,-2,-2)

Answer:

0.016cm

Step-by-step explanation:

I would convert 2cm in terms of meters

2cm/1 = 1m/100cm

since there are cm on top and bottom it cancels out

2•1 /1m• 100 = 2m/100 = .02 m

now you solve using proportions

x/.8 = .02/1

x= (.8)(.02) cross multiples)

x= 0.016

Answer:

−n−323

Step-by-step explanation:

Answer:

ya they r

Step-by-step explanation:

Answer:

17

Step-by-step explanation:

step-by-step explanation

Answer:

Congruent ASA

Step-by-step explanation:

We are given 2 angles and 1 side length. In order, first there is the angle, then side length, then another angle. The ASA postulate says that the triangle will be congruent.

Answer:

Thus, the measure 660 cm is divided into 300 + 360 in the ratio of 5:6

Step-by-step explanation:

Equations

We are required to divide 660 cm in the ratio 5:6, or 5/6.

Let's call:

x = first part of 660

660 - x = second part of 660

The ratio between them is 5/6.

[tex]\displaystyle \frac{x}{660-x}=\frac{5}{6}[/tex]

The above equation will result in x as the smaller part of 660.

Multiply by (660-x)*6 to eliminate denominators:

[tex]\displaystyle (660-x)*6\cdot\frac{x}{660-x}=(660-x)*6\cdot\frac{5}{6}[/tex]

Operating:

[tex]6x=(660-x)*5[/tex]

[tex]6x=3300-5x[/tex]

Simplifying:

[tex]6x+5x=3300[/tex]

[tex]11x=3300[/tex]

Solving:

[tex]\displaystyle x=\frac{3300}{11}=300[/tex]

The other part is 660 - 300 = 360

Thus, the measure 660 cm is divided into 300 + 360 in the ratio of 5:6

Answer:

6rad2

Step-by-step explanation:

Answer:

8.845 units

Step-by-step explanation:

First start by plotting the points on a graph. Doing so will give you two points that you can connect and then turn into a triangle. Find the length and height of the triangle by counting how many units long each is. The length should be 6 units, while the height should also be 6 units. You can then use the pythagorean theorum to find the length of b to c:

A^2 + B^2 = C^2

6^2  + 6^2 = C^2

36 + 36 = C^2

72 = C^2

C = 8.845 units

Answer:

Part A: -8

Part B: -4

Step-by-step explanation:

[tex]5-13=-8[/tex]

[tex]-8+4=-4[/tex]

Answer:

jack is wrong

Step-by-step explanation:

Jack is wrong because 3,000 milliliters is equal to 3 liters.  If the tub already has 5 liters in it, adding 3 liters makes the tub have 8,000 liters. Angelina is correct when she says Jack is wrong.

Answer:

the answer is 2,3,and 5

Step-by-step explanation:

Answer:

2, 3, and 5

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

An arbitrary right triangle can be partitioned into isosceles triangle by drawing a median from the right angle to the hypotenuse.

Right angled triangle are those triangle for which one of the angle is 90 degrees.

Let's take a right angled triangle ΔABC.

Let C be the right angle in this triangle.

Then AB will be the longest side of the triangle, which is the hypotenuse.

Median of a triangle is the line segment joining the vertex to the midpoint  of the opposite side of the triangle.

Suppose we draw a median from C to the midpoint of AB intersecting AB at a point P.

Then there are two triangles formed ΔAPC and ΔBPC.

AP = BP since P is the midpoint of AB.

PC = PC is the common side for both triangles.

So ΔAPC and ΔBPC are isosceles triangles, because two sides are equal.

Hence any right triangle can be partitioned into two isosceles triangles this way.

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Answer:

7

Step-by-step explanation:

there are 7 left because fish can't drown

Answer:

500 students in the school

Step-by-step explanation:

100 - 68% = 32%

boys percentage 68%

girls percentage 32%

difference 68 - 32 = 36% = 180

36 ÷ 18 = 2 × 50 = 100

180 ÷ 18 = 10 × 50 = 500

Answer:

500 students.

Step-by-step explanation:

This a system of equations you could write where t is the total amount of students in the school, b is the number of boys, and g is the number of girls:

0.68t=b

b+g=t

180+g=b

0.68t+g=t

g=0.32t

180+g=b

180+0.32t=0.68t

180=0.36t

t=500

Answer:

There are 38 snails.

Step-by-step explanation:

Answer:

t is  9/16

Step-by-step explanation:

Answer:

9/16

Step-by-step explanation:

Answer:

5 min

Step-by-step explanation:

If the minute hand takes an hour to go 360°, going 155° would take 26 minutes.

The first step is to find the number of degrees the minute hand goes in a minute:

= Degrees in an hour / Minutes in an hour

= 360 / 60

= 6° per minute

In order to go 155°, the minute hand would go for:

= Degrees / Degrees per minute

= 155 / 6

= 25.83

= 26 minutes

In conclusion, it would take 26 minutes for the minute hand to turn 155°.

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Answer: A. The actual product is reasonable because it is near 80 but greater than 80. Both factors were rounded down, making the estimate lower than the actual product.

Step-by-step explanation:

Answer: A. The actual product is reasonable because it is near 80 but greater than 80. Both factors were rounded down, making the estimate lower than the actual product.

Step-by-step explanation:

Answer:

x = 2/7

Step-by-step explanation:

Step 1: Write equation

20x + x - 2 = 4

Step 2: Solve for x

Step 3: Check

Plug in x to verify it's a solution.

20(2/7) + 2/7 - 2 = 4

40/7 + 2/7 - 2 = 4

42/7 - 2 = 4

6 - 2 = 4

4 = 4

Answer:

x = 2/7

Step-by-step explanation:

Collect like terms:

20x + x = 21x ----> 21x - 2= 4

Move the constant to the right hand side and change the sign of the constant:

21x = 4 + 2

Calculate:

21x = 4 + 2 ---> 21x = 6

Divide both sides by 21:

21/21 and 6/21 = 2/7

Solution:

x = 2/7 or x= 0.285714

Answer:

1.30 :)

All you have to do is see if the number on your left is greater than 5 or not if it’s is round up 1 if not it stays the same !

Hope this helped !!!

Step-by-step explanation:

Answer:

8.6m

Step-by-step explanation:

mark me as the brainliest

Answer:

8.6 m

Step-by-step explanation:

Given the area, squareroot the area of the square and you will find the length of it's side.

Answer:

2/3,4/3.

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

the answer is 6, this is because 4/(2/3) turns into 12/2

The area of the triangle ABC for the considered triangle plotted in the considered image is 66.5 sq. units approximately.

The shortest distance(length of the straight line segment's length connecting both given points) between points ( p,q) and (x,y) is:

[tex]D = \sqrt{(x-p)^2 + (y-q)^2} \: \rm units.[/tex]

The coordinates of the points A, B, C, and D in the given figure are:

Finding the length of the line segments AD and CB, which will be the distance between A and D, and C and B respectively.

Thus, we get:

Length of line segment AD = |AD| = distance between A and D = [tex]\sqrt{(0-7)^2 + (7-(-2))^2} = \sqrt{7^2 + 9^2} = \sqrt{130} \: \rm units.[/tex]

Similarly, we get:
|CB| = [tex]\sqrt{(-3-7)^2 + (-4-(-2))^2} = \sqrt{10^2 + 6^2} = \sqrt{136} \: \rm units.[/tex]

If we take CB as the base of ABC triangle, then as AD is perpendicular on CB, and touches the peak of the triangle ABC from its base, so AD is height of the triangle.

Thus, as we know know that:

Thus, the area of the triangle ABC is:

[tex]A = \dfrac{base \times height}{2} = \dfrac{\sqrt{130} \times \sqrt{136}}{2} \approx 66.5 \: \rm unit^2[/tex]

Thus, the area of the triangle ABC for the considered triangle plotted in the considered image is 66.5 sq. units approximately.

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The distance from G(-3, -1) to the line whose equation is y = 4 is; d = 5

We are given the coordinate of point G as G(-3, -1).

We want to find the distance between that coordinate and the line y = 4.

Comparing the line with the equation Ax + By + C = 0 gives;

B = 1 and C = -4

Now, Equation for distance between line and coordinate axes points is;

d = |Ax + By + C|/√(A² + B²)

Thus;

d = |0(-3) + 1(-1) - 4|/√(0² + 1²)

d = |-5|

Since absolute value, then d = 5.

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Answer:

The answer would be b, c, e

Answer:

b,c,e

Step-by-step explanation:

4(n+1)

4n+4

n+n+n+n=4n

1+1+1+1=4

4n+4

2n+2n=4n

4n+4

4n+4

Answer:

Wall of Jericho

Step-by-step explanation:

The Wall of Jericho was a Pre-Pottery Neolithic A (PPNA) defensive or flood protection wall suggested to date to approximately 8000 BC.[1] If interpreted as an "urban fortification", the Wall of Jericho is the oldest city wall discovered by archaeologists anywhere in the world.[2] It is built of undressed stones and is located at the archaeological mound known as Tell es-Sultan, in the city of Jericho on the West Bank.

The topic of this article is the unique Neolithic-age stone wall, the earliest one of its kind. Other walls, such as contemporary house walls, or later, Bronze and Iron Age city walls, are only mentioned for the sake of context.

Answer:

81

Step-by-step explanation:

I just looked it up :)

Answer:

27

Step-by-step explanation: