A ray that divides an angle into two angles that both have the same measure.

Answer:

Sale price = $216, Discount = 24$

Step-by-step explanation:

100%-10%=90%

240 x .90 = $216 (sale price)

240-216 = $24 off

When the beam of light emerges into the air after passing through the entire stack, it makes an angle of approximately 29.4° with the normal.

We need to apply Snell's Law, which states that the ratio of the sine of the angle of incidence to the sine of the angle of refraction is equal to the ratio of the indices of refraction for two different media.

Step 1: Calculate the angle of refraction in the first material using Snell's Law.
n1 * sin(i1) = n2 * sin(r1)
1 * sin(60°) = 1.20 * sin(r1)
sin(r1) = 0.5/1.20
r1 ≈ 25.4°

Step 2: Repeat the process for the remaining materials, using the previous angle of refraction as the new angle of incidence. Calculate the final angle of refraction in the last material.

For the second material:
1.20 * sin(25.4°) = 1.40 * sin(r2)
r2 ≈ 21.4°

For the third material:
1.40 * sin(21.4°) = 1.32 * sin(r3)
r3 ≈ 22.9°

For the fourth material:
1.32 * sin(22.9°) = 1.28 * sin(r4)
r4 ≈ 23.3°

Step 3: Calculate the angle of emergence in air.
1.28 * sin(23.3°) = 1 * sin(e)
e ≈ 29.4°

When the beam of light emerges into the air after passing through the entire stack, it makes an angle of approximately 29.4° with the normal.

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Answer:

p=4-2x

Step-by-step explanation:

Answer:

p = 4 − 2 x

Step-by-step explanation:

Subtract  2 x  from both sides of the equation.

Answer:

wjwjwjwjuwuwuwuueuejsnsjjdjejejenekjekekeikw

Answer:

do it yourself

Step-by-step explanation:

Stop cheating

The volume of each tank in m3 is 468 m3.

A water treatment plant treating water for potable purposes includes the following units.

Four rectangular sedimentation tanks each 26 m long, 6 m wide and 3 m deep are installed in parallel.

The raw water enters the first tank at a flow rate of 2400 m3/day. Sedimentation is the most important process in the purification of water in which the suspended particles are settled down.

The settling process is based on the gravitational settling of particles. The design of settling tank or sedimentation tank is made on the basis of the theory of sedimentation. The settling theory is given by Stokes. There are various types of settling tanks used in water treatment plants based on the shape of the settling zone.

Some of them are square tanks, rectangular tanks, and circular tanks. Rectangular tanks are widely used in water treatment plants.

Given,Length of tank (L) = 26 m

Width of tank (B) = 6 m

Depth of tank (D) = 3 m

Number of tanks = 4

Flow rate (Q) = 2400 m3/day

The surface overflow rate is the ratio of flow rate to the surface area of the tank. This helps to determine the settling velocity of the particles. The formula for the surface overflow rate is given by,SOR = Q / A

where, Q = Flow rate in m3/day

A = Surface area of the tank in m2

Surface area of the tank can be calculated as follows,

Surface area of one tank = L × B = 26 m × 6 m = 156 m2

Surface area of four tanks = 4 × 156 m2 = 624 m2

Now,Substitute the given values in the formula of SOR.

SOR = 2400 / 624SOR = 3.846 m3/m2/day

Thus, the surface overflow rate in each tank is 3.846 m3/m2/day.

The detention time of the particle is the time for which it remains in the settling zone. It can be calculated by the formula of the theoretical detention time. The formula for detention time is given by,

Theoretical detention time (T) = (L × B) / Q

where, L = Length of tank in m

B = Breadth of tank in m

Q = Flow rate in m3/day

Now,Substitute the given values in the formula of detention time.

T1 = (26 m × 6 m) / 2400 m3/day

T1 = 0.065 hours

Thus, the detention time in each tank is 0.065 hours.

The distance travelled by the particle can be calculated by the formula of distance travelled. The formula for distance travelled is given by,

Distance travelled (X) = (L2 / 3D) + (L / 2)where, L = Length of the tank in m

D = Depth of the tank in m

Now,Substitute the given values in the formula of distance travelled.

X1 = (262 / 3 × 3) + (26 / 2)X1 = 25 m

Thus, the distance travelled by water molecules from the point of entry to the point of exit in each tank is 25 m.

The volume of each tank can be calculated by the formula of volume. The formula for volume is given by,

Volume (V) = L × B × D

where, L = Length of the tank in m

B = Breadth of the tank in m

D = Depth of the tank in m

Now,Substitute the given values in the formula of volume.

V1 = 26 m × 6 m × 3 m

V1 = 468 m3

Thus, the volume of each tank in m3 is 468 m3.

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Hello there, hope you are having a nice day.

We are given the slope of the line and a point on the line, so we can write the equation in point-slope form:

y-7=-3(x-(-1)

y-7=-3(x+1)

y-7=-3x-3

Now, we move -7 to the right side, using the opposite operation:

y=-3x-3+7

y=-3x+4

This is the equation of our line. Hope it helps.

Ask me if you have any queries.

~An emotional teen who helps others with joy

Good luck.

The required sum of the measures of angles D and F is 260 degrees.

Let's represent the measures of angles D, E, and F as D, E, and F, respectively.

From the given information, we have the following equations:

D + E = 110 (The sum of the measures of angles D and E is 110)

E + F = 150 (The sum of the measures of angles E and F is 150)

Now, we want to find the sum of the measures of angles D and F, which is D + F.

To find D + F, we need to eliminate E from the equations. We can do this by adding equations (1) and (2):

(D + E) + (E + F) = 110 + 150

Now, the E terms cancel out:

D + F = 260

So, the sum of the measures of angles D and F is 260 degrees.

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The completely simplified expression is( 7n 14)/( 6η).    

To simplify the expression( n 2)/( 6η/ 7),

we can start by dividing the numerator by the denominator. This is original to multiplying the numerator by the complementary of the denominator  n 2) *( 7/ 6η)

Next, we can distribute the( 7/ 6η) to both terms in the numerator ( n)/( 6η) 7( 2)/( 6η)

This simplifies to  7n/( 6η) 14/( 6η)

Now, since the two terms in the numerator have a common denominator, we can combine them ( 7n 14)/( 6η).

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Answer:

1

Step-by-step explanation:

Convert all to an improper fraction.

\(\frac{83}{12} -(\frac{36}{16} +\frac{11}{3})\)

\(\frac{83}{12}-\frac{71}{12}=\frac{12}{12} =1\)

good luck, i hope this helps :)

To solve the expression  \(6\frac{11}{12}-(2\frac{4}{16} + 3\frac{2}{3})\)  , we need to first simplify the mixed fractions inside the parentheses.

Let's start by converting the mixed fractions into improper fractions:

6 11/12 can be written as (6 * 12 + 11) / 12 = 83/12

2 4/16 can be written as (2 * 16 + 4) / 16 = 36/16

3 2/3 can be written as (3 * 3 + 2) / 3 = 11/3

Now we can substitute these values back into the expression:

\(6\frac{11}{12}-(2\frac{4}{16} + 3\frac{2}{3})\) = 83/12 - (36/16 + 11/3)

Next, let's find a common denominator for the fractions within the parentheses, which is 48:

83/12 - (36/16 + 11/3) = 83/12 - (36/16 * 3/3 + 11/3 * 16/16)

                      = 83/12 - (108/48 + 176/48)

                      = 83/12 - 284/48

To subtract these fractions, we need to have the same denominator:

83/12 - 284/48 = (83 * 4) / (12 * 4) - 284/48

              = 332/48 - 284/48

              = (332 - 284) / 48

              = 48/48

              = 1

Therefore, the solution to the expression 6 11/12 - (2 4/16 + 3 2/3) is 1.

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The solution of the equations  4x + 3y = 0 and 8x + 6y = 6​ do not exist.

An answer to a formula is any variable value that fulfills the equal outcomes, that is, it tends to make the Left Hand Side (LHS) and Right Hand Side (RHS) of the formula equal. To solve an equation, you must locate the feasible solution) to that formula.

The equations are given below.

4x + 3y = 0                  ...1

8x + 6y = 6​                 ...2

The slope of the equation of the lines is the same that is - 4/3. Then the lines are parallel lines.

Thus, the solution of the equations  4x + 3y = 0 and 8x + 6y = 6​ do not exist.

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Answer:

ok

Step-by-step explanation:

STEP

1

:

Equation at the end of step 1

(((2cot3 • x) - cot2x) - 13coxs) - 6

STEP

2

:

Checking for a perfect cube

2.1 2cot3x-cot2x-13coxs-6 is not a perfect cube

Final result :

2cot3x - cot2x - 13coxs - 6

Answer:

Dimensions: 15 cm × 7 cm

Step-by-step explanation:

Step-by-step explanation:

50cm/40m = 0.5m/40m = 0.0125 = 1/80

Solution

Now

Add and subtract

A rectangular \($12\text{ cm}\times 20\text{ cm}$\) waffle is divided into \($1\text{ cm}\times 1\text{ cm}$\) squares.An ant crawls along a straight path from one corner to the opposite corner.The ant crosses through 31 squares of the waffle.

To determine the number of squares the ant crosses through, we can visualize the path from one corner to the opposite corner of the rectangular waffle. The ant's path consists of several diagonal segments that pass through the individual squares.

The diagonal of the rectangular waffle is equivalent to the ant's path. Using the Pythagorean theorem, we can calculate the length of the diagonal. The length of the diagonal is given by \(\sqrt{(12^2 + 20^2)}= \sqrt{(144 + 400)} = \sqrt{544 }\approx23.32 $cm$.\)

Since each side of the square measures 1 cm, the ant will cross through approximately 23 squares along the diagonal path. However, we need to consider that the ant will also pass through the corners of the squares. Along the diagonal path, the ant will cross through the corner of each square it encounters, except for the endpoints.

Considering the endpoints, we add 1 to account for the square at the starting point and 1 to account for the square at the endpoint. Therefore, the ant crosses through a total of 23 + 2 = 25 squares.

Hence, the ant crosses through 31 squares of the waffle.

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Answer:

-15

Step-by-step explanation:

if its just asking for what number would represent a loss of 15 it would be negative 15

i dont know if there's more to the problem or not

Answer:

-15

Step-by-step explanation:

This is because whatever much water was in the tank is now decreasing by 15, therefore, you can write it as -15,

hope this helps!

Answer:

11

Step-by-step explanation:

hope this helps with the work

Answer:

+35 per month

Step-by-step explanation:

(x, y, z) = (k, 0, 0) + α (0,0,1) - this is the equation is parallel to the z-axis and passes through the midpoint between the two points.

The slant of a line is registered as for the positive x-hub and the equal lines are similarly disposed regarding the positive x-pivot. At the point when planets are a similar distance yet on inverse sides of the divine equator they are alluded to as being contra-equal. The equal lines are similarly disposed with the positive x-pivot and thus the incline of equal lines is equivalent. Equal lines and their inclines are simple. Since incline is a proportion of the point of a line from the level, and since equal lines should have similar point, then equal lines have similar slant and lines with a similar slant are equal. Opposite lines are somewhat more muddled.

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Option c. The next in series is blue picture with 7 lines.

The series is following the trend, Red, Blue, Red…. So, the next in this series should be blue.

Next is the pattern of picture. Straight line, 45 degree to both lines from center, 45 degree from preceding lines. So, next should be 45 degree from both the preceding lines.

Next is the number of lines. This follows the pattern as 1 line, 3 line, 5 line. From this it's clear that here follows the odd number pattern. So the next should be picture with 7 lines.

Finally we cam conclude that the next in this series is option c, the blue picture with 7 lines.

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Answer: X=-3

Step-by-step explanation:

Answer: x = -3

Step-by-step explanation:

Given data:

The given scale is 2 cm= 6 ft.

The given height of the tree is h= 7.8 cm.

The given scale can be written as,

The actual height of the tree is,

Thus, the actual height of the tree is 23.4 ft.

To get the maximum profit, Kate should display as many cards from company B as possible, since she makes a higher profit from those cards.

Let x be the number of cards from company A and y be the number of cards from company B.

The constraints are:

The objective function is:

  P = 0.30x + 0.32y (the profit from selling the cards)

To maximize the profit, we need to maximize the value of y. Since the display rack can hold up to 90 cards, we can set y = 90 - x.

Substituting this into the objective function:

  P = 0.30x + 0.32(90 - x)
P = 0.30x + 28.8 - 0.32x
P = -0.02x + 28.8

To maximize P, we need to minimize x. Since x must be at least 40, we can set x = 40.

Substituting this back into the objective function:
P = -0.02(40) + 28.8
P = 28

So the maximum profit Kate can make is $28, by displaying 40 cards from company A and 50 cards from company B.

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Answer:

hope this will help you more

Answer:

20.07 cm³

Step-by-step explanation:

Volume of Cylinder = 1.54 liters = 1540 cm³.

Area of its base = 77 cm².

πr² = 77

(22/7) * r² = 77

r = 4.94

Now,

Volume of cylinder = πr²h

⇒ 1540 =  (22/7) * (4.94)² * h

⇒ h = 20.07 cm³

Answer:

the new road is new so it will be a new way which makes it shorter if yuo think about it

Using a system of equations, it is found that the amounts of money that each of Gabriel, Daniel and Edgar have are given as follows:

A system of equations is when multiple variables are related, and equations are built to find the numeric values of each variable, according to the relations built in the context of the problem.

In the context of this problem, the variables are given as follows:

Gabriel has double the amount of Daniel, hence:

x = 2y.

Gabriel has five times the amount of Edgar, hence:

x = 5z.

If Gabriel loans Q14 to Daniel and Q33 to Edgar, they will have the same amount, hence:

x - 47 = y + 14 = z + 33.

Since x = 2y, we can replace into the first two sides of the equality above and solve for y as follows:

2y - 47 = y + 14

y = 61. (Daniel's amount).

The solution for x is given as follows:

x = 2y = 2(161) = 122 (Gabriel's amount).

The solution for z is given as follows:

x - 47 = z + 33

122 - 47 = z + 33

75 = z + 33

z = 75 - 33

z = 42 (Edgar's amount).

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Using Euler's method with a step size of h = 0.2, we will approximate the solution to the initial value problem y' = 2 + y, y(1.5) = 3 at the points x = 5.2, 5.4, 5.6, and 5.8.

To apply Euler's method, we start with the initial condition y(1.5) = 3. We choose a step size of h = 0.2, which means we will increment x by 0.2 at each step.

Using the formula for Euler's method, we can compute the approximate values of y at each step. The formula is given by y(n+1) = y(n) + h * f(x(n), y(n)), where f(x, y) represents the differential equation.

By plugging in the values of x and y at each step and using the formula, we can calculate the approximations of y at x = 5.2, 5.4, 5.6, and 5.8.

Completing the table with these approximations will provide the numerical approximations of y at the given points, using Euler's method with a step size of h = 0.2.

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