A Boat is tied to the dock with a 25-foot rope. When the rope is pulled tight, the boat is 18 feet away from the base of the dock. The rope connects to the boat at the level of the water. What is the measure, to the nearest tenth of a degree, of x, the angle formed by the rope and the surface of the water?

Answer:

Option B,D and E will create dilation.

Step-by-step explanation:

Dilation is the enlarging or shrinking of an element using a common scale factor.

If the same factor is multiplied by the elements, the dilation is created.

Looking at the options:

Option A

O (x,y) -----> (2x,4y)

if we take 2 as common we get  2 (x,2y) not the original coordinates (x,y). So, no dilation.

Option B

O (x,y) -----> (-2x,-2y)

if we take -2 as common we get -2(x,y) which is same as original coordinates. It would create dilation.

Option C

O (x,y) -----> (92x,2y)

if we take 2 as common we get (46x,y) not the original coordinates (x,y). So, no dilation.

Option D

O (x,y) -----> (3x,3y)

if we take 3 as common we get 3(x,y) which is same as original coordinates. It would create dilation.

Option E

O (x,y) -----> (1.2x,1.2y)

if we take 1.2 as common we get 1.2(x,y) which is same as original coordinates. It would create dilation.

So, Option B,D and E will create dilation.

Answer:

N

Step-by-step explanation:

Since it says y is greater then 1 it would be above the red line.

Then for the next equation, it says that y is less than the equation so it is under the blue line.

Answer: The solution is (4,1)

Step-by-step explanation:

You can tell if it is a solution by looking at the point where the two lines intersect(meet). This is why the solution is (4,1).

Given:

1 canister = [tex]\dfrac{2}{23}[/tex] sacks of sugar

1 sack = [tex]\dfrac{3}{4}[/tex] pounds of sugar.

To find:

The expression that can be used to solve for the number of pounds of sugar it takes to fill the canister?

Solution:

We have,

1 sack = [tex]\dfrac{3}{4}[/tex] pounds of sugar.

So,

[tex]\dfrac{2}{23}[/tex] sack = [tex]\dfrac{2}{23}\times \dfrac{3}{4}[/tex] pounds of sugar.

1 canister = [tex]\dfrac{2}{23}\times \dfrac{3}{4}[/tex] pounds of sugar.

1 canister = [tex]\dfrac{3}{46}[/tex] pounds of sugar.

Therefore, the expression [tex]\dfrac{2}{23}\times \dfrac{3}{4}[/tex] is used to solve for the number of pounds of sugar it takes to fill the canister.

Answer:

25% on question one

Step-by-step explanation:

For example, on question one, 5 students drink more than half a dozen sodas a week. If there is a total of 20 students you'd divide 5 by 20 and that should be the answer.

Answer: 10.49026 = 10.5

Step-by-step explanation:

The length of the side q of the triangle OPQ is 10.5 inches.

The law of Cosines, also known as Cosine Rule or Cosine Formula basically relates the length of the triangle to the cosines of one of its angles.

Given that, in a triangle OPQ, O = 4.4 inches, p = 9.6 inches and ∠Q=89°, we need to find the measurement of side q,

So, using cosine law for triangles,

q² = p²+o²-2poCos(89°)

= 4.4²+9.6²-2(4.4)(9.6)Cos(89°)

= 10.5

Hence, the length of the side q of the triangle OPQ is 10.5 inches.

Learn more about cosine law, click;

https://brainly.com/question/17289163

#SPJ2

Answer:

total score was 2

Step-by-step explanation:

have a good day ;*

Answer:

2

Step-by-step explanation:

2 + -6 + 7 + -1= 2

( I actually need to add something to make this comment long enough)

Answer:

true

Step-by-step explanation:

the second 7 is in the tenth place and the first 7 is in the hundredth place, which is 1/10 the tenth place

I agree...................

Answer:

i dont know

Step-by-step explanation:

Answer:

i dont know srry

Step-by-step explanation:

Answer:

200

Step-by-step explanation:

1 decameter =10,000

so 2,000,000/10000=200

Answer:

200

Step-by-step explanation:

To convert 2,000,000mm into Decameters

Formula = Divide the mm to 10,000

2,000,000/10,000 we get 200

Answer:

Yes they are similar using the SSS postulate

Step-by-step explanation:

All sides are in the same ratio!

Another tip is that one triangle is a dilated shape of the other

Answer:

The answer is B.

Step-by-step explanation:

Diameter x Pi = Circumference

8 x 3.14 = 25.12

Answer:

B

Step-by-step explanation:

Answer: 0

Step-by-step explanation: it’s undefined

Answer:

y2-y1 over x2-x1

Step-by-step explanation:

so pick one and make it 1 and pick the other and make it 2 and fill in for x and y.

Answer: 16, 17 and 18

Step-by-step explanation:

Let the consecutive natural numbers be x, x+1, and x+2. We are informed that the sum of the first and the second is 15 more than the third. This will be:

[x + x + 1] = [x + 2] + 15

2x + 1 = x + 2 + 15

2x + 1 = x + 17

2x - x = 17 - 1

x = 16

The numbers are 16, 17 and 18.

Answer:

160

Step-by-step explanation:

Answer:There would be 3 people at the movies.

Step-by-step explanation:

Answer:

There is nothing  to multiply.

Include the problem please

Answer:

d

Step-by-step explanation:its right

The maximum  number of miles Rachel can run on the third day without going over the planned average of  6.4 miles per day is 6.1 miles.

Let x represent the maximum  number of miles

Formulate

6.6+6.5+x÷3=6.4

Hence:

6.6+6.5=6.4×3

13.1+x=19.2

x=19.2-13.1

x=6.1 miles

Inconclusion the maximum  number of miles Rachel can run on the third day without going over the planned average of  6.4 miles per day is 6.1 miles.

Learn more about distance here:https://brainly.com/question/4931057

Answer:

1/3,0.34,3.5%

Step-by-step explanation:

Answer:

3.5, 1/3, 0.34

Step-by-step explanation:

3.5 as a fraction is 7/2 and 0.34 as a fraction is 7/20

Answer: Standard form:

2x − 18 = 0

Factorization:

2(x − 9) = 0

Solutions:

x = 18

2

= 9

Step-by-step explanation:

12. It's solved you are correct.

Step-by-step explanation:

2x6=12 Also Please mark me brainelst btw mate 2x6 is 12 and 6x2=12. Thanks. I do not know if I'm right.

Answer:

That the number of miles is going to be less than 15

Step-by-step explanation:

If you wanted to solve the inequality then the answer would be x<12

Can you please give me brainliest

Answer:

[tex] \sqrt{ {8}^{2} +{10}^{2} } = \sqrt{64 + 100} = \sqrt{164} =2\sqrt{41}\\ =\boxed{12.8\: units} [/tex]

The diagonal length of the rectangular book is 12.8 units.

A rectangle is "four sided polygon, having all the internal angles  is equal to 90 degree. The two sides of each corner is right angles".

According to the question,

The length of rectangle is 8 units and the breadth of rectangle is 10 cm.

To find diagonal of the rectangle: Using Pythagoras theorem a² + b² = c².

c = [tex]\sqrt{a^2 + b^2}[/tex]

  = [tex]\sqrt{8^2 + 10^2}[/tex]

  = [tex]\sqrt{64 + 100}[/tex]

  = [tex]\sqrt{164}[/tex]

  = 2[tex]\sqrt{41}[/tex]

  = 12.8 units

Hence, the diagonal length of the rectangular book is 12.8 units.

Learn more about rectangle here

https://brainly.com/question/17043608

#SPJ2

Answer:

y = -3/5x - 2

Answer:

the square root of 42 is an irrational number. the square root of 42 is.....

Step-by-step explanation:

Step-by-step explanation:

I'm not a 100 % sure but 350.00 x 0.06 =21 so 350 +21 = 371.00

Answer:

No

Step-by-step explanation:

Switch=$350 + tax = ???

Liam's Money= $380

350*9/100=tax

tax=$31.50

350+31.50=$381.50

that's how much he would need to pay: 381.50

so:

no he won't have enough money. he's 1.50 short

Answer:

19050 or some other number very close like 19039

Step-by-step explanation:

I took test and got this one right.

Answer:

the guys above :)

Step-by-step explanation:

give him brainliest if you have not :)

Answer:

f(10) = 20

Step-by-step explanation:

Since the x is defined, you can plug it in, x=10.

Substitute the x with 10, f(10) = 3(10)-10.

Then, simply the equation, f(10) = 20.