Gerry wants to construct a triangle with segments that are 4, 6, and 11 inches long. Is his triangle possible? Explain how you know.

Answer:

25+8m=73

We move all terms to the left:

25+8m-(73)=0

We add all the numbers together, and all the variables

8m-48=0

We move all terms containing m to the left, all other terms to the right

8m=48

m=48/8

m=6

Answer:

[tex]m = 6[/tex]

Step-by-step explanation:

[tex]25 + 8m = 73 \\ 8m = 73 - 25 \\ 8m = 48 \\ \frac{8m}{8} = \frac{48}{8} \\ m = 6[/tex]

Answer:

13th term = 47

General term: Tn = 11 + 3(n-1)

Sum of the first 40 terms = 2780

Question:

Find the thirtieth term of the arithmetic progression of difference 3 and the first term 11. Find the general term of the progression and the sum of the first forty terms.

Step-by-step explanation:

Common difference (d)= 3

First term = a = 11

Find attached the solution of problem.

Answer:

$39

Step-by-step explanation:

Using the given formula :

I = P × R × T

I = 30 × 10/100 × 3

I = $9

She have = 30 + 9 = $39

Answer:

204

Step-by-step explanation:

3.4[6(4)+6^2]=

3.4[24+36]=

3.4[60]=

204

Hope this helps!

Answer:

The height is 16 cm

Step-by-step explanation:

It's just v/b

720/45=16

The height is 16 cm

Answer:

{FL1, FL2, IT1, IT2, ME1, ME2, EN1, EN2}

Step-by-step explanation:

This is each location paired with one week, and each location paired with two weeks.

Answer:

c

Step-by-step explanation:

Answer:

X= -14

Step-by-step explanation

4(x + 2) =3(x-2)

4x + 8 = 3x - 6

4x - 3x= - 8 - 6

X = - 14

Answer:

Step-by-step explanation:

43feet

Answer:

400

Step-by-step explanation:

The 200 quarters in the full bag were likely to be eagle quarters.

In mathematics, ratios are used to determine the relationship between two numbers it indicates how many times is one number to another number.

Given that:-

We can conclude from the given data that the ratio of the Eagle and state quarters is 4:6 or 2:3 suppose the common factor is a so the value will be calculated as:-

E  +  S  =  500

2a  +  3a  =  500

5a   =  500

a  =  100

E  =  2a

E   =  2  x  100 =  200

Therefore 200 quarters in the full bag were likely to be eagle quarters.

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Two rectangles can be similar, but that's not always guaranteed.

In fact, similar shapes have the same angles and correspondant sides in proportion.

All rectangles will always have four right angles, so we only have to worry about the sides.

Let [tex]a,b[/tex] be the sides of a rectangle, with [tex]a\leq b[/tex]. Let [tex]c,d[/tex] be the sides of a rectangle, with [tex]c\leq d[/tex].

Then, the two rectangles are similar if and only if

[tex]a\div c=b\div d[/tex]

So, for examples, a rectangle with dimensions 3 and 7 is similar to a rectangle with sides 6 and 14 (both sides have been doubled), but it's not similar to a rectangle with sides 6 and 21 (one side has been doubled, the other has been tripled).

Answer:

Step-by-step explanation:

Both pools were filled 6 inches from the top.

12 inches = 1 feet

6 inches = 6/12 = 0.5 foot

Considering Theresa's pool, it is rectangular. The formula for determining the volume if the rectangular pool is

Volume = length × width × height

Height filled is 4 - 0.5 = 3.5 feet

Volume = 30 × 15 × 3.5 = 1575 ft³

Recall, 1 cubic feet = 7.48 Us gallons

Therefore,

1800 cubic feet = 1575 × 7.48 = 11781 gallons of water

Theresa fills her pool using city water at a rate of $3.95 per 100 gallons of water. It means that the amount she paid to fill her pool is

3.95 × 11781/100 = $465.35

Considering Nancy's pool, it is cylindrical. The formula for determining the volume if the cylindrical pool is

Volume = πr²h

Diameter = 24

Radius = diameter/2 = 24/2 = 12 ft

Volume = 3.14 × 12² × 3.5 = 1582.56 ft³. Converting to gallons, it becomes

1582.56 × 7.48 = 11837.55 gallons of water.

Nancy fills her pool with a water delivery service at a rate of $200 per 6000 gallons.

It means that the amount she paid to fill her pool is

200 × 11837.55/6000 = $394.59

Therefore, Theresa paid more to fill her pool.

Answer:

[tex]-\frac{2}{\sqrt{2}}[/tex] or [tex]-\sqrt{2}[/tex]

Step-by-step explanation:

[tex]\sec{x}[/tex] is the reciprocal of [tex]\cos{x}[/tex], or in symbols: [tex]\sec{x}=\frac{1}{\cos{x}}[/tex]. [tex]\tan{x}[/tex] is also the ratio of [tex]\sin{x}[/tex] to [tex]\cos{x}[/tex], and we can multiply both sides of the equation [tex]\tan{x}=\frac{\sin{x}}{\cos{x}}[/tex] by [tex]\frac{1}{\sin{x}}[/tex] to get the equation [tex]\frac{\tan{x}}{\sin{x}}=\frac{1}{\cos{x}}[/tex]. Of course, this is just the definition of [tex]\sec{x}[/tex], so we can rewrite this fact as [tex]\sec{x}=\frac{\tan{x}}{\sin{x}}[/tex].

In this problem, we're given that [tex]\sin{x}=\frac{\sqrt{2} }{2}[/tex] and [tex]\tan{x}=-1[/tex], so plugging those two values into our equation gives us

[tex]\sec{x}=\dfrac{-1}{\frac{\sqrt{2}}{2}} =-\frac{2}{\sqrt{2}}[/tex]

We could leave our solution as [tex]-\frac{2}{\sqrt{2}}[/tex], or we could rationalize the denominator to get a solution of

[tex]-\frac{2}{\sqrt{2}}\cdot\frac{\sqrt{2}}{\sqrt{2}}=-\frac{2\sqrt{2}}{2}=-\sqrt{2}[/tex]

Answer:  x=1

They all have 1 for their x coordinate; 'nuff said.

Answer:

y=3x−8

Step-by-step explanation:

Answer:

The total surface area is 90π cm²

Step-by-step explanation:

To find the total surface area of his cone, we will follow the steps below;

write the formula for finding the total surface area of a cone

Total surface area = πrl + πr²

where r is the radius  and l is the slant height

from the question, diameter = 10 cm, diameter = 2r     this implies  that r = d/2 = 10/2 = 5 cm

Also from the question given to us, height h = 12 cm, but what we want  is slant height l. We can find this by using the Pythagoras theorem to find the slant height using the height giving to us and the radius.

opposite² + adjacent² = hypotenuse²

where radius is the adjacent, height is the opposite  and the slant height is the hypotenuse

5²  +  12²  = l²

25 + 144 = l²

169 = l²

13 = l

l= 13 cm

hence slant height =13 cm

We can now proceed to insert the values into the formula

Total surface area = πrl + πr²

                              = π×5×13 + π×5²

                               =65π + 25π

                                =90π cm²

The total surface area is 90π cm²

Answer:

Brainliest please

The  Volume is 125 times bigger.

Step-by-step explanation:

V = [tex]\frac{4}{3}*\pi *r^{3}\\[/tex] is the normal formula.

If you multiply the radius by 5 the it changes to

V = [tex]\frac{4}{3}*\pi *(5r)^{3}[/tex]

And when you simplify you get

V = [tex]\frac{4}{3} * \pi * 125r^3[/tex]

And the only difference between the inital equation and this one is *125 and so the volume is 125 bigger if the radius is multiplied by 5.

Let's do it in general first; inner radius r, outer radius R.

Little circumference is 2πr, bigger is 2πR, difference is

d = 2π(R-r)

For us R-r = 2 feet so that's

d = 2 (22/7) (2) = 88/7 ≈ 12.57 feet

Answer: 12.6

Answer:

11.3 (C)

Step-by-step explanation:

sqrt(12^2 - 4^2) =

sqrt(144 - 16) =

sqrt(128)-->

11.3 (C)

Answer:

11.3 ft

Step-by-step explanation:

We have a right triangle with the hypotenuse of 12 and a leg of 4

Using the pythagorean theorem

a^2 +b^2 = c^2

4^2 + b^2 = 12^2

16 +b^2 = 144

Subtract 16 from each side

b^2 =144-16

b^2 =128

Taking the square root of each side

sqrt(b^2) = sqrt( 128)

b =11.3137085

Answer:

AT THE POINT NUMBER 2 IS INCORRECT !

Step-by-step explanation:

Answer:

This first expression is correct

V= 2/3*pi*r³

Step-by-step explanation:

This problem bothers on the volume of a cone

We know that the volume of a cone is expressed as

V= 1/3πr²h

Given that h= 2r

Let us substitute h=2r in the formula above

V= 1/3πr²*2r

V= 2/3πr³

The Answer Is:

2/3pix^3

Answer:

C

Step-by-step explanation:

f(5) means we must plug in 5 wherever we see an x in the function.

[tex]f(x) = \frac{1}{9} 3^{x}[/tex]

[tex]f(5) = \frac{1}{9} 3^{5}[/tex]

[tex]f(5) = \frac{1}{9} * 243[/tex]

[tex]f(5) = \frac{243}{9} = 27[/tex]

So f(5) = 27! The answer is C.

Answer:

AO and OB

Step-by-step explanation:

The radii are radiuses and in this case you have two. They radius half of the circle and the diameter is the whole length. Hope this was helpful.

Answer:

303.63 sq inches

Step-by-step explanation:

We need to find the area of the two rectangles he cuts and add them together.

The area of a rectangle is given as:

A = L * B

The first rectangle is 16 inches × 12 1/4 inches. Its area is:

A = 16 * 12 1/4 = 16 * 49/4 = 196 sq inches

The second rectangle is 10 1/2 inches by 10 1/4 inches. Its area is:

A = 10 1/2 * 10 1/4 = 21/2 * 41/4 = 107.63 sq inches

The total square inches of construction paper that he needs is:

196 + 107.63 = 303.63 sq inches

Answer:

(xy - 4)(xy + 4).

Step-by-step explanation:

The is the difference of 2 squares.  

a^2 - b^2 = (a - b)(a + b: so we have:

x^2y^2 - 16​ = (xy - 4)(xy + 4)

the correct answer is -4π/3.

Answer:

Step-by-step explanation:

If the line has an equation of x = (some number), this is a vertical line. The slope is undefined and all the points on the line have an x-coordinate of that (some number). For example, if x = -2, then all points along this line will have an x-coordinate of -2, making it a vertical line.

Answer:

its undefined, since its a vertical line and is parallel to the y-axis it is passes though all points with a x-axis of -1

Step-by-step explanation:

Answer:

B. 7

Step-by-step explanation: 6/24= 1/4 so 7/24>1/4

Answer:

The correct answer is B.

Step by step explanation:

Domain of [tex]x^2-4 : \left [ {{Solution : - \infty} <x<\infty}} \atop {Interval Notation: (-\infty, \infty})}} \right][/tex]

Range of [tex]x^2-4:[/tex][tex]x^2-4 : \left [ {{Solution : f(x)\geq -4}} \atop {Interval Notation: [-4, \infty})}} \right][/tex]

Axis interception points of [tex]x^2-4 :[/tex] X Intercepts: [tex](2,0), (-2,0)[/tex], Y Intercepts: [tex](0,-4)[/tex]

Vertex of [tex]x^2-4:[/tex] Minimum [tex](0,-4)[/tex]

Hope this helps. If so, may I get brainliest and a thanks?

Thank you, Have a good day!

1x1x1.  That's pretty much the definition of

Answer: 1 cubic foot, last choice