A water tank is filled with a hose. The table shows the number of gallons of water in the tank compared to the number of minutes the tank was
being filled. The line of best for this data is g = 9m - 0.17.

The number of triangles is an illustration of Triangle Inequalities theorem

There are infinitely many triangles that can be made given two side lengths

The side lengths of two sides are given as 18 inches and 25 inches.

Assume the third side of the triangle is x

Using the Triangle Inequalities theorem, we have:

So, we have:

x +18 > 25

x > 7

x + 25 > 18

x > -7.

18 + 25 > x

x < 43.

Ignore the negative value.

So, we have the solution set to be 7 < x < 43.

This means that the third side can take any value between 7 < x < 43.

Hence, there are infinitely many triangles.

Read more about Triangle Inequalities theorem at:

https://brainly.com/question/12011543

Answer:

You would need 18 quarts of sparkling water to mix with 9 quarts of grape juice

Step-by-step explanation:

1 1/2 ---------> 3/4

x --------------> 9

We clear the value of x:

x = ((9) / (3/4)) * (1 1/2)

Rewriting we have:

x = ((9) * (4/3)) * (1 1/2)

x = (36/3) * (1 1/2)

x = (12) * (1 1/2)

x = (12) * (3/2)

x = 18

Answer:

D. A=34, B=28

Step-by-step explanation:

In the bulletin points, it says that seconds 3-5 are decreasing. That means that those heights can't be higher than second 2 (34). The only option that works is option D.

----------------------

Option A is incorrect because it starts with 35ft which is higher than second 2(34) so that is automatically wrong.

Option B is incorrect because it is increasing instead of decreasing.

Option C is incorrect for the same reason as Option A: it starts with 35ft.

---------------------

Therefore, the only correct option is Option D.

Have a nice day!!

Answer:

B: 375 ft^2

Step-by-step explanation:

20 x 15 + 10 x 15/2 = 375

Answer:

Step-by-step explanation:

Cos(Ф) = Adj / Hyp

Cos(Ф) = Adj / 5

use Pythagoras's  

[tex]5^{2}[/tex] =  [tex]2^{2}[/tex] +[tex]x^{2}[/tex]

25 - 4 = [tex]x^{2}[/tex]

21 = [tex]x^{2}[/tex]

[tex]\sqrt{21}[/tex] = x

Cos(Ф) = [tex]\sqrt{21}[/tex] / 5      

(using the square root means the answer is exact. so leave it like that.)

Answer:

132.00

Step-by-step explanation:

The surface area of the composite figure is S = 706.4 feet²

The Trapezoid is a 4 sided polygon. Two sides of the shape are parallel to each other and they are termed as the bases of the trapezoid. The non-parallel sides are known as the legs or lateral sides of a trapezoid.

There are three types of trapezoids , and those are given below:

a) Isosceles Trapezoid

b) Scalene Trapezoid

c) Right Trapezoid

The area of the Trapezoid is given by

Area of Trapezoid = ( ( a + b ) h ) / 2

where , a = shorter base of trapezium

b = longer base of trapezium

h = height of trapezium

Given data ,

Let the area of the figure be S = 2 ( area of trapezium ) + 2 ( area of opposite rectangles ) + ( area of smaller rectangle ) + area of larger rectangle

On simplifying , we get

2 ( area of trapezium ) = ( a + b ) x h

2 ( area of trapezium ) = ( 19 + 5 ) x 12.1

2 ( area of trapezium ) = 290.4 feet²

Now , 2 ( area of opposite rectangles ) = 2 ( 14 x 8 )

2 ( area of opposite rectangles ) = 224 feet²

Area of smaller rectangle = 5 x 8 = 40 feet²

Area of larger rectangle = 8 x 19 = 152 feet²

Therefore , S = 290.4 feet² + 224 feet² + 40 feet² + 152 feet²

S = 706.4 feet²

Hence , the area of the figure is S = 706.4 feet²

To learn more about trapezoid click :

https://brainly.com/question/12221769

#SPJ2

Answer:

6:07

Step-by-step explanation:

8:22 minus 2 hours is 6:22, 1/4 an hour is 15 minutes so 22 minus 15 is 7, leading to the answer of 6:07 being your start time.

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

The applicable rules of exponents are ...

  [tex]\displaystyle\sqrt[n]{x^m}=x^{\frac{m}{n}}\\\\(x^a)^b=x^{ab}\\\\(xy)^a=x^ay^a[/tex]

Answer:

The coordinates of the point labeled A in the graph shown is (2,-2). The 2 is in the x axis while -2 is in the y axis of the graph while point B is in coordinates (-2,-2) and  point C is in coordinates (-2,4).

Answer:

i need a picture

Step-by-step explanation:

i cant see anything im not gonna be able to answer this

Answer:

[tex]A) (x+2)^{2} +(y-3)^{2} =72[/tex]

Step-by-step explanation:

[tex]Radius=\sqrt{(4+2)^{2}+(-3-3)^{2} }[/tex]

[tex]=\sqrt{6^{2} +6^{2} } =6\sqrt{2 }[/tex]

[tex]equation:[/tex]

[tex](x+2)^{2}+(y-3)^{2} =(6\sqrt{2}^{2})\\[/tex]

[tex](x+2)^{2}+(y-3)^{2} =72[/tex]

-----------------------------------

hope it helps...

have a great day!!

The equation represents a circle is option (A) (x+2)^2 +(y-3)^2 = 72 is the correct answer.

A circle is a collection of all points in a plane which are at a constant distance from a fixed point. A circle is a round-shaped figure that has no corners or edges.

For the given situation,

The center of the circle, (h,k) = (-2,3)

The point on the circle, (x,y) = (4,-3)

The radius of the circle is

[tex]r=\sqrt{(h-x)^{2} +(k-y)^{2} }[/tex]

⇒ [tex]r=\sqrt{(-2-4)^{2} +(3-(-3))^{2} }[/tex]

⇒ [tex]r=\sqrt{6^{2}+6^{2} }[/tex]

⇒ [tex]r=\sqrt{72}[/tex]

The formula of equation of circle is

[tex](x-h)^{2}+(y-k)^{2}=r^{2}[/tex]

The circle has the center (h,k) = (-2,3) and radius is √72,

⇒ [tex](x-(-2))^{2}+(y-3)^{2}=(\sqrt{72} )^{2}[/tex]

⇒ [tex](x+2)^{2}+(y-3)^{2}=72[/tex]

Hence we can conclude that the equation represents a circle is option (A) [tex](x+2)^{2}+(y-3)^{2}=72[/tex] is the correct answer.

Learn more about circles here

https://brainly.com/question/27421661

#SPJ2

Answer:

7x+19

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

0.5x + 2 = 10

         -2    -2

    0.5x =8

 divide both sides by 0.5

     x = 16

Answer:

-8

Step-by-step explanation:

a negative number multiplied by a positive one gives as a result a negative number

-2 x 4 = -8

Answer:

wheneveryouseeanxonthe

rightputa16thatwhatf(16)

means.

f(16)=

3

1

(4−16)

2

f(16)=

3

1

(−12)

2

f(16)=

3

1

(144)

f(16)=48

[isyouranswer]

Step-by-step explanation:

mark me as brainliest.oky?

Answer:

2x+40=982

Step-by-step explanation:

Answer:

a)ABC ≅ A'B'C' (SSS) b) Enlargement c) Scale factor = 4

Step-by-step explanation:

a) ABC ≅ A'B'C' (SSS)

b) The figure is going through an enlargement, this is evident as the figures have a scale factor of 4. If we were to put them into a fraction like this -

6/24=12/48=15/60

The figures are getting bigger, so they are going through an enlargement.

c) To find the scale factor of like done above, we could put them into a ratio.

6/24=12/48=15/60

Which would result in the scale factor of 4.

Answer:

20%

Step-by-step explanation:

3 green, 1 brown, 2 red

3 + 1 + 2 = 6

Total: 6

The probability of picking a green one is 3/6 or 1/2.

———————————————————————

2 green, 1 brown, 2 red

2 + 1 + 2 = 5

New total: 5

The probability of picking a red one is now 2/5.

———————————————————————

First, we multiply them by each other.

2/5 x 1/2 = 1/5

Next, we convert 1/5 to a percentage to get our final answer.

1/5 x 20 = 20/100, which is 20%.

So our final answer is 20%.

Answer:

dont you just subtract 90-61 to get 29 since a triangle is 90 degrees

Answer:

122

Step-by-step explanation:

61 x 2 = 122

The measurement of angle ABC is 122°.

The circumference, which is the distance around the object, the diameter, which is the length of a circle measured from one end to the other and passing through its center, and the radius, which is equal to half of the diameter, are the three key characteristics.

The general coordinate equation of a circle is:

(x-h)² + (y - k)² = r²

Where,(h, k) is the center of a circle, "r" is the radius of the circle.

Given, a figure of the circle that gives the center of the circle is B.

Since, the Centre angle is twice the size of the angle of the circumference, made by the same arc.

Since both angles, ∠ABC and ∠ADC are made by the same arc AC.

Thus,

The angle made on the center = 2 * the angle made on the circumference,

The angle made on centre = 2 * 61

The angle made on center = 122°

Therefore, The measurement of angle ABC is 122°.

Learn more about Circle here:

https://brainly.com/question/11833983

#SPJ7

Answer:

Trevor walks 100 meters in a minute.

Step-by-step explanation:

This question can be solved by proportions.

Trevor is walking at the rate of 6 kilometers per hour.

Each kilometer has 1000 meters, so he walks 6*1000 = 6000 meters per hour.

How many meters does Trevor walk in a minute?

An hour has 60 minutes.

6000/60 = 600/6 = 100

Trevor walks 100 meters in a minute.

Answer:

True

Step-by-step explanation:

2 + 2 + 2 = 6

3 + 3 = 6

Answer:

If this was your question,

[tex]2 \times 3 = 6[/tex]

=> True.

If this was what you meant then,

[tex] {2}^{3} = 8[/tex]

=> False.

Answer:

x = -47/3

Step-by-step explanation:

R = 3x + 9y

7 = 3x + 9(6)

7 = 3x + 54

-47 = 3x

x = - 47/3

Can't be reduced because 47 is prime

Answer:

x=  -47/3

Step-by-step explanation:

So the information we already have is

7 = 3x + 9 * 6

9 * 6 = 54

now it is

7 = 3x + 54

The equation can also be

3x + 54=7

First subtract 54 from both sides

3x + 54 - 54= 7 - 54

3x= -47

Then divide both sides by 3

3x/3= -47/3

x= -47/3

formula 3.35 times something

Answer:

Some states consider some income to be tax free. this statement is false

it would probably go with one of the first 2. they sound opposite of each other. probably go with the first 1?

sorry if I'm wrong

Answer:

128 pages

Step-by-step explanation:

[tex]0.32*400[/tex]

[tex]=128[/tex]

In total, Marty had read 128 pages of his book.

Answer:

There is a correlation between amount of bread bought and amount of rice purchased. However, there is no causation. This is because there is an increase in the amount of rice purchased with a decrease in the amount of bread bought.

Step-by-step explanation:

We see that there is a correlation between the amount of bread and the amount of rice bought .

When the bread is bought the amount of rice drops and when the amount of bread is decreased the amount of rice increases.

There is no causation meaning there is no direct affect of buying more bread or rice.Buying of rice does not directly cause the purchase of bread.

Hence there is correlation but not causation.

Correlation and causation can occur at the same time when one event causes the other.

Answer:

A tax is a compulsory financial charge or some other type of levy imposed on a taxpayer by a governmental organization in order to fund government spending ...

Answer:

B.) Tax Avoidance

Step-by-step explanation:

Tax avoidance is the use of legal methods to minimize the amount of income tax owed by an individual or a business.

Credit: Investopia.com

Answer:

40x-100/4

-15x+6

Step-by-step explanation: