1.5 in.
1.5 in.
8 inches tall
The tube of toothpaste shown costs $3.45. Estimate the price per cubic inch of toothpaste.

Answer:

the product of the 2 numbers is 22

Step-by-step explanation:

x² + y² = 80

(x - y)² = 36

=>

x - y = 6

or y - x = 6

let's start with the first one x-y=6

x = 6 + y

=>

(6+y)² + y² = 80

y² + 6y +6y + 36 + y² = 80

2y² + 12y + 36 = 80

2y² + 12y - 44 = 0

y² + 6y - 22 = 0

the solution of a quadratic equation

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case here we have an squadron in y.

a=1

b=6

c=-22

(-6 ± sqrt(36 + 4×22))/2 = (-6 ± sqrt(36+88))/2 =

= (-6 ± sqrt(124))/2 = (-6 ± sqrt(4×31))/2 =

= (-6 ± 2×sqrt(31))/2 = -3 ± sqrt(31)

y1 = -3 + sqrt(31)

y2 = -3 - sqrt(31)

=>

x1 = 6 + -3 + sqrt(31) = 3 + sqrt(31)

x2 = 3 - sqrt(31)

control :

(-3 + sqrt(31))² + (3 + sqrt(31))² = 80

9 - 3 sqrt(31) - 3 sqrt(31) + 31 + 9 +3 sqrt(31) + 3 sqrt(31) + 31 = 80

9 + 31 + 9 +31 = 80

18 + 62 = 80

80 = 80 correct

solving now for y-x=6

delivers exactly the same calculations, just with x and y trading places.

so, the resulting 2 number pairs are the same.

the product of the 2 numbers :

(3 + sqrt(31))(-3 + sqrt(31)) = -9 - 3 sqrt(31) + 3 sqrt(31) + 31 =

= -9 + 31 = 22

(3 - sqrt(31))(-3 - sqrt(31)) = -9 + 3 sqrt(31) - 3 sqrt(31) + 31 =

= 22

so, the product is the same in both cases.

Answer:

Step-by-step explanation:

Lateral area, Al = a√(a² + 4h²)

Where,

a = base edge = 5 in

h = height = 10 in

Lateral area, Al = a√(a² + 4h²)

= 5√(5² + 4*10²)

= 5√(25 + 4*100)

= 5√(25 + 400)

= 5√425

= 5 * 20.615528128088

= 103.07764064044

Approximately,

Lateral area = 103.08 in²

Answer: 100

Step-by-step explanation: each side has an area of 10*5/2, or 25, and there are 4 lateral sides, so times 4, it's 100

Answer:

385

Step-by-step explanation:

(3/5 x 10/8) - (7/9 x 3/8) + (4/5 x 7/2)

=3/4-7/24+14/5

=90/120 - 35/120 + 840/120

=46200/120

=385

Hope this helps!

Answer:

y=-12x-x

Step-by-step explanation:

y=mx + b

m=slope

m = -12

slope = rise / run -12/1

Answer:

x(8;2)

Step-by-step explanation:

i think that  

Ans:40.8°

Step-by-step explanation:

sin(x)=17/26

x<π/2

x=0.7126... or 2.4289...

But x=2.4289...>π/2

So only 0.7126... meets

(0.7126.../π)*180°≈40.8°

so the answer is 40.8°

Answer:

[tex] \frac{1}{ {6}^{8} } [/tex]

Step-by-step explanation:

when the is a base raised to a negative power.....put it under 1 and the negative power now becomes a positive power

Example: 5^-2 = 1/5^2

The focus is the point inside a parabola that helps determine the shape of the curve.

A parabola is an equation of a curve, such that any point on the curve is equidistant from a fixed point called the focus and a fixed line called the directrix of the parabola.

The equation of a parabola:

y = a(x - h)² + k

We have,

A parabola is a type of curve that is formed when a plane intersects a cone at an angle that is parallel to one of the cone's sides.

One of the key defining features of a parabola is that all points on the curve are equidistant from a fixed point, known as the focus, and a fixed line, known as the directrix.

The focus is located inside the parabola, and its distance from the directrix is equal to the distance from any point on the parabola to the directrix.

This property allows us to use the focus and directrix to determine the shape and location of the parabola.

Thus,

The focus is the point inside a parabola that helps determine the shape of the curve.

Learn more about parabola here:

https://brainly.com/question/21685473

#SPJ2

Answer:

x-intercept: (3, 0)

y-intercept: (0, 2)

Step-by-step explanation:

For a function like:

y = f(x)

The x-intercept is the value of x when y = 0

the y-intercept is the value of y when x = 0

Also remember that an ordered pair is written as (x, y).

In this case we have the equation:

2*x + 3*y = 6

For the x-intercept, we just replace y by zero in the equation, then we get:

2*x + 3*0 = 6

Solving this for x, we get:

2*x = 6

x = 6/2 = 3

Then in this case, the ordered pair for the x-intercept is (3, 0)

For the y-intercept, we just need to replace x by zero in the equation:

2*0 + 3*y = 6

Solving this for y, we get:

3*y = 6

y = 6/3 = 2

Then the ordered pair for the y-intercept is (0, 2)

Answer:

32

Step-by-step explanation:

d6 plus four nine its wrong "+_)

Answer:

65%in a whole examination

Answer:

You didn't provide " the following" from which to choose.

Here are two solutions

y = 2x - 1

y - 1 = 2(x - 1)

m=y2-y1/x2-x1

7-(-2)/a-6=-3

9/a-6=-3

9=3a-18

3a=162

a=54

Answer:

5

Step-by-step explanation: i used a calculator and it said 5.099 but just round it up to 5

Answer:

1

Step-by-step explanation:

even if it is going back-wards, it is still one, think of it as absolute value

also again, if brainly tries to delete this answer, this community really is going down the dump

Answer: if you mean Inches, its 25.

Answer:

36 inches or 1 yard

Step-by-step explanation:

Answer:

[tex]\dfrac{1}{6.25} = \dfrac{t}{25}[/tex]

Step-by-step explanation:

A proportion is setting two ratios to be equal to each other.

You are given the price of 1 ticket, so you can set up a ratio of price to ticket.

$6.25 to 1 ticket, or [tex] \dfrac{6.25}{1} [/tex]

The other ratio involves the $25 and the unknown number of tickets, t, $25 can buy.

$25 to t tickets, or [tex] \dfrac{25}{t} [/tex]

To write a proportion, set the two ratios equal.

[tex] \dfrac{6.25}{1} = \dfrac{25}{t} [/tex]

This proportion does not appear in the choices.

Take the reciprocal of both sides.

[tex]\dfrac{1}{6.25} = \dfrac{t}{25}[/tex]

Answer:

1657.14 ft

Step-by-step explanation:

Tan = opposite / adjacent

tan 5 = 145 / adjacent

0.0875 =  145 / adjacent

adjacent = 145 / 0.0875

= 1657.14 ft

Answer:

40

Step-by-step explanation:

30÷3=10

30+10=40

Hope this helps! :)

Step-by-step explanation:

=(-2)2+8(-2)+18(-2)+12

=4-16-36+12

=4+52+12

=56+12

=68

OR

=4-16-36+12

= -12-24

= -36

Answer:

x = 25

Step-by-step explanation:

hyp/short leg

Compare large triangle to small triangle

x/15 = 15/9

multiply both sides by 15

x = 15/9 * 15

x = 25

Answer:

15) The length of the line segment DE is 14.908.

16) The measure of the angle W is approximately 31.792°.

17) The length of the ladder is approximately 23.182 feet.

Step-by-step explanation:

15) We present the procedure to determine the length of segment DE:

(i) Determine the length of the line segment DF by trigonometric relations:

[tex]\tan C = \frac{DF}{CF}[/tex] (1)

([tex]C = 61^{\circ}[/tex], [tex]CF = 24[/tex])

[tex]DF = CF\cdot \tan C[/tex]

[tex]DF = 24\cdot \tan 61^{\circ}[/tex]

[tex]DF \approx 43.297[/tex]

(ii) Determine the length of the line segment DE by trigonometric relations:

[tex]\tan F = \frac{DE}{DF}[/tex] (2)

([tex]DF \approx 43.297[/tex], [tex]F = 19^{\circ}[/tex])

[tex]DE = DF\cdot \tan F[/tex]

[tex]DE = 43.297\cdot \tan 19^{\circ}[/tex]

[tex]DE \approx 14.908[/tex]

The length of the line segment DE is 14.908.

16) We present the procedure to determine the measure of the angle W:

(i) Determine the length of the line segment XZ by trigonometric relations:

[tex]\sin Z = \frac{XY}{XZ}[/tex] (3)

([tex]XY = 15[/tex], [tex]Z = 25^{\circ}[/tex])

[tex]XZ = \frac{XY}{\sin Z}[/tex]

[tex]XZ = \frac{15}{\sin 25^{\circ}}[/tex]

[tex]XZ \approx 35.493[/tex]

(ii) Calculate the measure of the angle W by trigonometric relations:

[tex]\tan W = \frac{XZ}{WZ}[/tex] (4)

([tex]XZ \approx 35.493[/tex], [tex]WZ = 22[/tex])

[tex]W \approx \tan^{-1} \left(\frac{22}{35.493}\right)[/tex]

[tex]W \approx 31.792^{\circ}[/tex]

The measure of the angle W is approximately 31.792°.

17) The system form by the ladder, the ground and the wall represents a right triangle, whose hypotenuse is the ladder, which is now found by the following trigonometric relation:

[tex]\cos \theta = \frac{x}{l}[/tex] (5)

Where:

[tex]\theta[/tex] - Angle of the ladder above ground, in sexagesimal degrees.

[tex]x[/tex] - Distance between the foot of the ladder and the base of the wall, in feet.

[tex]l[/tex] - Length of the ladder, in feet.

If we know that [tex]x = 6\,ft[/tex] and [tex]\theta = 75^{\circ}[/tex], then the length of the ladder is:

[tex]l = \frac{x}{\cos \theta}[/tex]

[tex]l = \frac{6\,ft}{\cos 75^{\circ}}[/tex]

[tex]l \approx 23.182\,ft[/tex]

The length of the ladder is approximately 23.182 feet.

Answer:

2.208 kg

Step-by-step explanation:

Total mass of glass marble

= 18.5×48

= 888 g

Total mass of steel marble

= 66×20

= 1320 g

Total mass of 68 marble including steel 20 and glass 48

= 888 + 1320

= 2208 g

In kilograms 2208

= 2.208 kg

Please mark as brainliest answer

Answer:

[tex]\displaystyle x^{\frac{2}{3}}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle (x^{\frac{4}{3}}x^{\frac{2}{3}})^{\frac{1}{3}}[/tex]

Step 2: Simplify

Answer:

The answer is 12.               

12 is not a perfect square like the others.      

Answer:

You divide 62/12=5.166

Answer:

C

8×3=24

so the answer is c

Answer:

32.7 degrees

Step-by-step explanation:

This polygon has 11 sides.

The measure of all exterior angles adds up to 360.

Find the measure of a single exterior angle by dividing 360 by the number of sides.

360/11 ≈ 32.7

The measure of a single exterior angle of the given regular polygon is 32.5 degrees

We have given that the diagram of regular polygon shown below

and, we have to find the measure of a single exterior angle.

Therefore we have the given polygon has 11 sides.

The angle between a side of a rectilinear diagram and adjacent side extended outward.

The measure of all exterior angles adds up to 360.

We have to find the measure of a single exterior angle by dividing 360 by the number of sides

So we get,[tex]360/11 = 32.7[/tex]

Therefore, the measure of a single exterior angle of the given regular polygon is 32.5 degrees.

To learn more about the exterior angle visit:

https://brainly.com/question/17972372

Answer:

8$ divided by 4.which is equal to 2