in Joe's fish tank, there are 6 goldfish and 12 snails. How does the ratio 6:18 describe Joe's fish
tank?

Answer:

Line A

Step-by-step explanation:

Line A has a constant of proportionality (slope) of 4.

Given:

Height of the Statue of Liberty = 305 feet

Angle of elevation = 9 degrees

To find:

The between the tourist and the Statue of Liberty.

Solution:

Using the given information, draw a figure as shown below.

In a right triangle,

[tex]\tan \theta=\dfrac{Perpendicular}{Base}[/tex]

In the triangle ABC,

[tex]\tan 9^\circ=\dfrac{305}{x}[/tex]

[tex]x=\dfrac{305}{\tan 9^\circ}[/tex]

[tex]x=1925.6942[/tex]

[tex]x\approx 1926[/tex]

Therefore, the tourist is standing 1926 feet from the Statue of Liberty.

Answer:

1995

Step-by-step explanation:

Percent of students that get more than 8 hours of sleep = 100 -43 = 57%

Number of students that get more than 8 hours of sleep = 57% x 3500

0.57 x 3500 = 1995 students

Answer: 56.85

Step-by-step explanation:

So, what you have to do is multiply 15 x 3.79=56.85.

Answer:

A trust can protect your assets for the next generation. However, if you have debt, the trust will not necessarily protect assets from creditors. If you or your beneficiaries file for bankruptcy, for example, the trust could be seized for repayment of debts.

Answer:

B) 18

Step-by-step explanation:

6 out of 18 is 6/18 = 1/3

1/3 x 54 = 18

Step-by-step explanation:

3a permieter

16+16+8+8+8+16+8 = 80

area = (16x16) +(8x8)= 256 +64 = 320

3b permieter: 10+ (2π3)/2 = 19.42

area1/2(6)(4) = 12

π (3)^2 = 28.26/2 + 12 = 26.13

Answer:

x = 12

Step-by-step explanation:

(8x - 1) + (3x + 4) + (3x + 9) = 180 degrees

14x + 12

180 - 12 = 168

14x = 168

/14  |   /14

x = 12

Top left angle: (8x - 1)

8*12 - 1

96 - 1

= 95

Sorry! gtg I hope this helps!

ON=5.099  

Hope it helps

The function rule is f(x) = x - 12 and the complete table is

Input(x) Output(y)

32 20

14 2

6 −6

-2 -14

-10 -22

From the question, we have the following parameters that can be used in our computation:

Input(x) Output(y)

32 20

14 2

? −6

-2 -14

-10 ?

The slope is calculated as

m = (2 - 20)/(14 - 32)

m = 1

So, the equation is

y = mx + c

Using the points, we have

1(32) + c = 20

Evaluate

c = -12

So, we have

f(x) = x - 12

Using the above function, we have the following function values

f(-10) = -10 - 12 = -22

x - 12 = -6

x = 6

So, the complete table is

Input(x) Output(y)

32 20

14 2

6 −6

-2 -14

-10 -22

Read more about linear relation at

https://brainly.com/question/30318449

#SPJ1

Answer:

[tex]a^7-7a^6b+21a^5b^2-35a^4b^3+35a^3b^4-21a^2b^5+7ab^6-b^7[/tex]

Step-by-step explanation:

There are multiple ways of expanding a polynomial expression to a high degree. One way of doing it is to write out the problem in the multiplication form, multiply (a - b) by itself (7) times.

[tex](a-b)^7[/tex]

[tex]=(a-b)(a-b)(a-b)(a-b)(a-b)(a-b)(a-b)[/tex]

Now simplify, multiply two terms together,

[tex]=(a^2-2ab+b^2)(a^2-2ab+b^2)(a^2-2ab+b^2)(a-b)[/tex]

Repeat this process,

[tex]=(a^4-4a^3b+6a^2b^2-4ab^3+b^4)(a^3-3a^2b+3ab^2-b^3)[/tex]

Repeat this process one final time,

[tex]a^7-7a^6b+21a^5b^2-35a^4b^3+35a^3b^4-21a^2b^5+7ab^6-b^7[/tex]

Answer:

m<ADE = 59°

Step-by-step explanation:

Each angle of a rectangle = 90°

Therefore:

m<ABE + m<CBE = 90°

(4x + 15)° + (13x + 7)° = 90°

Solve for x

4x + 15 + 13x + 7 = 90

17x + 22 = 90

17x = 90 - 22

17x = 68

x = 68/17

x = 4

✔️Opposite sides (AB and DC) of the rectangle are parallel, therefore:

m<ADE = m<CBE

m<ADE = (13x + 7)° (Substitution)

Plug in the value of x

m<ADE = 13(4) + 7

m<ADE = 52 + 7

m<ADE = 59°

I hope this helps you

8^2=4.(4+x)

64=4.(4+x)

16=4+x

x=12

Step-by-step explanation:

i think the answer is C

Answer:

1st option is the correct answer

Answer:

3 feet

Step-by-step explanation:

3 feet is more because 35 inches = 2 feet and 11 inches.

Answer:

Yes.

Step-by-step explanation:

If you change nothing but the angle and positioning of the original shape, then it is congruent.

Answer:

B. 25

Step-by-step explanation:

Answer:

The answer is D

Step-by-step explanation:

Since the input is -6, you input it into the equation. That would make it f(-6)=-(-6)-1 which would be equivalent to f(-6)=6-1 , as the negatives at the beginning of the equation cancel each other out and make it positive. Then you solve and get 5, which is your output. Hope I could help :)

Answer:

1 1/5 miles or 1/2 miles

Step-by-step explanation:

1/5 x 6 = 6/5 = 1 1/5 or 1/2 miles

Answer:

x = 4

Step-by-step explanation:

since each side is equal to x + 1 and there are 6 sides, to get x alone, you have to subtract 1, six times from the perimeter.

1 × 6 = 6

30 - 6 = 24

then divide that by the number of sides (6)

24 ÷ 6 = 4

x = 4!

Answer:

less than -1

less than -1

greater than 1

greater than 1

Step-by-step explanation:

[tex] - 7 + - 4 = - 7 - 4 = - (7 + 4) = - 11[/tex]

LESS THAN -1

________________________________

[tex] - ( \frac{3}{2} ) = - (1.5) = - 1.5[/tex]

LESS THAN -1

________________________________

[tex] \frac{( - 5)}{( - 3)} = \frac{5}{3} = 1.66..[/tex]

GREATER THAN 1

________________________________

[tex]( - 9) - 6 = - 9 - 6 = - (9 + 6) = - 15[/tex]

LESS THAN -1

________________________________

Answer

29/6  or 4 5/6

Step-by-step explanation:

1. Find a common denominator

2. Common denominator is 6   Remember - multiply by a - gives you a positive.

3. Rewrite 6/6 -4/6 +27/6

4. Add the numerators together to get 29

5. Answer is 29/6 or as a mixed number 4 5/6