The circumference of a circular pond is 300 pi ft. A model boat is moving directly across the pond along the diameter at a rate of 4 feet per second. How long does it take the boat to get to the other side?

Part A: Draw the pond and label what you know from the problem above.

Part B: What is the diameter of the pond?

Part C: How many seconds does it take the boat to get to the other side of the pond?

Answer:

x = 3/4

Step-by-step explanation:

Step 1: Find possibilities.

Step 2: Solve possibility 1.

Therefore, x = 3/4.

A ray from Trevor to the fish is the hypotenuse side of a right triangle  with

vertices at Trevor's position, the hook and the fish.

Reasons:

The distance of the hook below Trevor, y = 8 meters

The horizontal distance of the fish from the hook, x = 5 meters

Required:

The distance of the fish from Trevor

Solution:

A line drawn from Trevor's position to the fish, h, then to the hook, x, and

then to Trevor, y, forms a right triangle with the distance from Trevor to the

fish being the hypotenuse side, h.

Therefore, by Pythagorean theorem, we have;

Which gives;

h² = 8² + 5²

h = √(8² + 5²) = √(89 ≈ 9.4

Learn more about Pythagorean theorem here:

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Answer:

Looking at both triangles, angle P in triangle PQR = 38 degrees. Angle N in triangle LMN = 38 degrees. Both angles are equal.

Side PQ in triangle PQR = 16

Side MN in triangle LMN = 8

Therefore,

PQ/MN = 16/8 = 2

Side PR in triangle PQR = 14

Side LN in triangle LMN = 7

Therefore,

PR/LN = 14/7 = 2

Therefore, triangle PQR is similar to

triangle LMN because

1) the length of PQ is proportional to the length of MN.

2) the length of PR is proportional to the length of LN

3) angle P = angle N

4) Therefore, QR is also proportional to ML

Therefore,

PQ/MN = PR/LN = QR/ML = 2

Step-by-step explanation:

The pair of the first two triangles are not similar triangles, while the pair of the next two triangles are similar triangles.

If the respective angles are congruent and the corresponding sides are proportional, two triangles are said to be similar. To put it another way, comparable triangles are similar in shape but not necessarily in size. In addition, the triangles are congruent if their corresponding sides are of identical length.

As it we know that for the two triangles to be similar triangles, the ratio of their corresponding sides should be the same.

A.) In the first pair of triangles,

For the first pair of triangles to be similar,

[tex]\dfrac{US}{UD}=\dfrac{UT}{UE}=\dfrac{ST}{DE}[/tex]

The above ratio should be similar, but since we can see that the ratio,

[tex]\dfrac{US}{UD}\neq \dfrac{UT}{UE}[/tex]

[tex]\dfrac{39}{16}\neq \dfrac{40}{16}[/tex]

As we can see that the ratio of the sides of the triangle is not the same therefore, the two of the given triangles are not similar triangles.

B.) In the second pair of triangles,

For the second pair of triangles to be similar,

[tex]\dfrac{AB}{HG}=\dfrac{BC}{GF}=\dfrac{CA}{FH}[/tex]

The above ratio should be similar, and as we can see that the ratio,

[tex]\dfrac{72}{12}=\dfrac{48}{8}=\dfrac{84}{14} =6[/tex]

As we can see that the ratio of the sides of the triangle is the same therefore, the two of the given triangles are similar triangles.

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Answer:

False.

Step-by-step explanation:

Answer:

(-7x + 4)(-7x - 4)

Step-by-step explanation:

When you multiply two binomials together and you want the result to be the difference of squares, the two binomials must have the same terms and ONE of the terms must have the opposite sign.

Ex: (a+b)(a-b)

OR (x+2)(x-2)

OR (m-3)(m+3)

OR (2x+1)(2x-1)

OR (-5n+7)(-5n-7)

These multiplications

(–7x + 4)(–7x + 4) and

(-7x + 4)(4 - 7x) yield a perfect square trinomial.. Both factors are identical, so they are not the answer.

(–7x + 4)(7x – 4) is also not the answer because one factor is the opposite of the other factor. That is, both terms in one factor are the opposite sign from the other. We need just ONE term to have the opposite sign.

Difference of squares:

(a+b)(a-b)=

a^2 - b^2

Answer:answer is x=15=20

Step-by-step explanation:i did it before in class and got an A

B is the answer if you look at the data the test gives you

Answer:

1. 9 + 4

2. 46 + 10

3. 18 + 14

4. 10x+ 14

5. 17 + 32

6. 5 + 7- 5

7. 3 + 70

8. 3 + 20 + 10

9. 7 + 16

10. 7 + 5

11. 9 + 120

12. 12  

13. 6 + 15 +  

14. 2 - 19+ 12

15. 3 + 14 - 31

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

74

Step-by-step explanation:

The mean of any set of numbers is simply the sum of the numbers divided by however many numbers you have. Because of this you can write the following equation

Mean = (sum of numbers)/(number of numbers)

Let's say that the missing test score is called x:

Mean = 80 = (80 + 85 + 73 + 78 + 90 + x)/6

80(6) = 80 + 85 + 73 + 78 + 90 + x

480 = 80 + 85 + 73 + 78 + 90 + x

x = 480 - 80 - 85 - 73 - 78 - 90

x = 74

Answer:

First, you combine like terms.

Then, you divide both sides of the equation by the same term.

Next, you simplify.

Lastly, you have your solution, which is x= 18

Step-by-step explanation:

Hope this helps!

Answer:

?

Step-by-step explanation:

i'm sorry  i'm just trying to get points this is my test and i need to know the answer and then i found the " Add answer ( 5 points ) and it was like calling my name so i am here now...bye

The system of equations that represent the situation are as follows;

According to the question;

For Plan A:

For Plan B:

Read more on rental charges;

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Answer:

380

Step-by-step explanation:

285 / x = 75 / 100

Cross multiply 28500 = 75x

Divide by 75  380

x intercept The x intercept is the point where the line crosses the x axis. At this point y = 0.

Answer:

answer given in the phot

Answer:

i think 20

Step-by-step explanation:

Answer:

y = (x-10 / 5) - 1

Step-by-step explanation:

Hope this helps :)

Answer:

y=1/5x-3

Step-by-step explanation:

y+1=1/5(x-10)

y=-1 +1/5(x-10)

y= -1 +1/5x-2

y=1/5x-3

Answer:

12 miles

Step-by-step explanation:

because of slope

Answer:

C) -5

Step-by-step explanation:

-5 is an integer but not a whole number or a natural number.

Step-by-step explanation:

[tex]68 - 54[/tex]

[tex]14 \div 68 \times 100[/tex]

after doing that calculation you will get the percent increase

Answer: Which shape are you talking about?

4 its the correct answer do it

Step-by-step explanation:

its correct

Answer:

x = 7

Step-by-step explanation:

from the properties of an isosceles triangle, 5x+6 = y-9

so

98+2(5x+6) = 180

98+10x+12 = 180

110+10x = 180

10x = 70

x = 7

Answer:

you can do a trial and improvement

Step-by-step explanation:

Answer:

V=TTr²h

Step-by-step explanation:

Why?

Because you will v=TT r² h/3

so the answer is

v=TT r² h/3,r É R,h É R

That's my hardwork lick it brainliest and liked my hardwork please

Answer: (15th street, 14th Avenue)

Step-by-step explanation:

Given the following :

Ping's residence = (3rd street, 6th Avenue)

Ari's residence = (21st street, 18th Avenue)

Gym location = 2/3 the distance of Ping's residence to Ari's residence

So, distance between Ping's home to Ari's home

Distance = (21st street, 18th Avenue) - (3rd street, 6th Avenue)

Distance = (21 - 3) street, (18 - 6) avenue

Distance between ping and Ari = (18th , 12th )

Gym distance = 2/3 of distance between ping and Ari

Gym distance = 2/3 × (18), 2/3 ×(12)

Gym distance = (12, 8)

Gym location = Ping's location + gym distance

Gym location = (3rd street, 6th Avenue) + (12th street, 8th Avenue)

Gym location = (15th street, 14th Avenue)

Answer:

D

Step-by-step explanation:

cuz its right :0

The x-values that will make the output values of the floor and ceiling functions equal are;

Option A: -8

Option D: 0

The complete question is;

At which x-values are the output values of the floor function g(x) = ⌊x⌋ and the ceiling function h(x) = ⌈x⌉ equal? Check all that apply.

A) –8

B) –5.2

C) –1.7

D) 0

E) 2.4

When it comes to floor functions and ceiling functions, they are always equal to each other when the x value is an integer.

Now, looking at the giving options the only integers we have are -8 and 0.

Thus, the only values in the options that would make the output values of the floor function and ceiling function equal are -8 and 0.

Read more on floor function and ceiling function at; https://brainly.com/question/7321190

Answer:

87

Step-by-step explanation:

66 + 72 + 87 = 225

225/3 = 87

Answer:

  87

Step-by-step explanation:

For problems involving averages, it often works well to consider the differences from the average. Here, Ali desires an average of 75. The total of differences from average will be zero. The differences for the known scores are ...

  66 -75 = -9

  72 -75 = -3

The total of these is -12, so the third score must have a difference of +12 for the average to be 75

  x -75 = 12

  x = 87

For the average to be at least 75, the third score must be at least 87.

_____

You can also work this in a more conventional way. The average of the three scores must be at least 75.

  (66 +72 +x)/3 ≥ 75

  138 +x ≥ 225 . . . . . . multiply by 3, simplify

  x ≥ 87 . . . . . . . . . . subtract 138

The lowest mark Ali must receive is 87.

Answer:

Hypotenuse: 20√2

Acute Angle measurements: 45

Step-by-step explanation:

Note that the two leg sides are both 20 measurements, suggesting that it is an isosceles triangle.

By definition of a isosceles triangle, the angles will be 45-45-90, and the sides will follow the 1-1-√2 rule, in which the 1 stands for the legs, and the √2 stands for the hypotenuse.

Note that the leg side measures 20. Multiply:

20 * √2 = 20√2.

Hypotenuse: 20√2

Acute Angle measurements: 45