Helppp plzz HELPPPPPPPPPP​

It is a right triangle because has a right angle(90°)

then we can apply trigonometric ratios

for example if I use tangent

where alpha is the reference angle, O the opposite side from the angle and A the adjacet side of the angle different to the hypotenuse

if I use y as reference angle, we replace

then I solve for y

value of y is 53.43°

if I use x as reference angle, we replace

Value of x is 36.57°

Answer:

  7π/2

Step-by-step explanation:

The period is the value of x that makes the cosine argument be 2π:

  4/7x = 2π

  x = (7/4)(2π) = 7π/2 . . . the period

Answer:

Option A is the right answer mate...

Answer:

x = 1

Step-by-step explanation:

So first we have to identify what f(x) and g(x) equals. We can do this by looking at their y-intercept and determining their slope, by its rise/run

the two equations are:

y = -2x - 1

y = x + 2

now we solve

f(x) + g(x) = 0

substitute

-2x - 1 + x + 2 = 0

simplify

-x + 1 = 0

divide by -1

x - 1 = 0

add one on both sides

x = 1

The formula of the function, where x is entered in radians is   y = -3sin(πx/5) -6

The key components: amplitude, period, phase shift, and vertical shift.

Amplitude is the distance between the midline and max/min points. Midline at (0, -6), so distance to min point (2.5, -9) is 3. Amplitude: 3.

Vertical shift: Displacement along y-axis. Midline at y = -6, vertical shift is -6. Period: distance between max/min points. Graph intersects midline at (0, -6) and minimum point at (2.5, -9).  Period is 5 (2 * 2.5). Freq: Reciprocal of period, 1/5.

Phase shift: Horizontal shift of graph. Graph intersects midline at x=0, no phase shift.

Hence:

The general form of the sinusoidal function is y = A sin (B(x-C)) + D

So, Substituting the known values into the general formula:

y = 3 x  sin((1/5)x - 0) - 6

Hence: Simplifying it will be:

y = 3 x sin(πx/5) - 6

Then, the formula of the function, where x is entered in radians, is: y = -3sin(πx/5) - 6

Based on the image attached, the first given point is one that informs one that the function is a sine (not a cosine) function, and that it is one that has its offset as -6.

Also, the second given point is one that informs you of the first peak is at x=2.5, hence the argument of the sine function is π/2 if x=2.5: (πx/5).

Based on the fact that the peak is 3 units smaller than the midline, the amplitude is said to be -3.

Therefore the  formula for the function is  seen as:  y = -3·sin(πx/5) -6

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The height of the pyramid is 12 units

To find the height of the pyramid, we need to use the formula for the volume of a pyramid,

V = (1/3) * B * h,

where V is the volume, B is the area of the base, and h is the height of the pyramid.

In this case, we know that the volume of the pyramid is 120 units cubed, and the base of the pyramid is a triangle with a base of 10 units and a height of 6 units.

Therefore, the area of the base is,

(1/2) * 10 * 6 = 30 square units.

Plugging these values into the formula for the volume of a pyramid, we get:

120 = (1/3) * 30 * h

Multiplying both sides by 3, we get:

360 = 30 * h

Dividing both sides by 30, we get:

h = 12

Therefore, the height of the pyramid is 12 units.

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Answer:

4/7 * 11/15= 44/105

Step-by-step explanation:

Therefore, John is incorrect, as buying a 2-liter bottle of orange juice is actually slightly more expensive per liter than buying a 1.5-liter bottle of cola.

An equation is a mathematical statement that indicates the equality of two expressions. It consists of two expressions separated by an equal sign (=). The expression on the left side of the equal sign is equivalent to the expression on the right side. Equations can have one or more variables, which are usually represented by letters such as x, y, or z. The goal in solving an equation is to determine the value(s) of the variable(s) that make the equation true. This involves manipulating the expressions on both sides of the equal sign using algebraic operations such as addition, subtraction, multiplication, and division, to isolate the variable on one side of the equation. Equations are used in many areas of mathematics and science to represent relationships between variables and to solve problems. They are also used in various fields such as engineering, physics, and economics to model real-world situations and make predictions based on mathematical analysis.

Here,

2.1.1 To determine how many packets of patties Julia should buy, we need to know the total number of patties needed for the school function. Let's assume that each person will eat one patty.

If there are 300 people attending the function, then Julia needs to buy:

300 x 1 = 300 patties

Each packet of patties contains 12 patties, so the number of packets needed can be calculated as follows:

300 patties ÷ 12 patties/packet = 25 packets

Therefore, Julia should buy 25 packets of patties.

2.1.2 To justify Julia's calculation, we can use algebra. Let's assume that the number of packets of patties she buys is x. We know that there are 12 patties in each packet, so the total number of patties is 12x. We also know that if she buys 42 packets, there will be a leftover of 4 patties.

This can be represented as the following equation:

12x + 4 = 42 x 12

Simplifying this equation:

12x = 500 - 4 = 496

x = 496/12 = 41.33 (rounded to two decimal places)

Since we can't buy a fractional number of packets, Julia would need to buy 42 packets of patties. This would give her a total of:

12 x 42 = 504 patties

She would then have 4 leftover patties, as calculated earlier. Therefore, Julia's calculation is correct.

2.2.1 To determine whether buying a 2-liter bottle of orange juice is cheaper than buying a 1.5-liter bottle of cola, we need to compare the price per liter of each drink.

For orange juice, the price per liter is:

R18.95 ÷ 2 liters = R9.475/liter

For cola, the price per liter is:

R14.50 ÷ 1.5 liters = R9.67/liter

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Answer:

no I don't know I am sorry for this question

Answer:

Function f is translated to the right 2 units, and then up 1 unit to obtain function g.

To see this, note that g(x) = (x+1)³ - 2 = (x-(-1))³ - 2. Comparing this to f(x) = (x-2)³, we see that replacing x with x+3 in f(x) gives g(x) = (x+3-2)³ = (x+1)³, so this transformation moves the graph of f(x) three units to the left. Then, adding the constant -2 to f(x) translates the graph down 2 units. Finally, adding the constant 2 to the result of the previous step translates the graph up 2 units, so the graph of g(x) is obtained by first translating the graph of f(x) to the right 2 units, and then translating it up 1 unit. Therefore, the correct answers are:

Function f is translated to the right 2 units.

Function f is translated up 1 unit.

Function f is translated to the right 2 units, and then up 1 unit to obtain function g.

To see this, note that g(x) = √x - 2 + 1 = f(x-2) + 1. This means that the graph of g(x) is obtained by translating the graph of f(x) to the right 2 units, and then translating it up 1 unit. Therefore, the correct answers are:

Function f is translated to the right 2 units.

Function f is translated up 1 unit.

Step-by-step explanation:

Answer:

47.1cm²

Step-by-step explanation:

diameter=15cm

circumference of circle= d×3.14

circumference=15×3.14

circumference=47.1

Answer:

pH = 6.1

Step-by-step explanation:

pH = -log[H]

pH = -log[8.1 x 10^-7]

pH ≈ 6.09

Therefore, option a, 6.1, is closest to this value and is the correct answer.

Answer:

-1/3

Step-by-step explanation:

hope this helps!

The additional gas it will take to fill the tank is 16 gallons

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

Capacity = 24 gallons

Current volume = 1/3 full

This means that

Remaning volume = 1 - 1/3

Evaluate

Remaning volume = 2/3

The additional gas it will take to fill the tank is

Additional = 2/3 * 24

Evaluate

Additional = 16

Hence, the additional gas it will take to fill the tank is 16 gallons

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the probability of event B happening is 0.50 or 50%. This means that the occurrence of event A has no impact on the likelihood of event B happening, and vice versa.

How to solve the question?

If A and B are independent events, then the occurrence of A does not affect the probability of B happening. Mathematically, this can be written as P(B|A) = P(B), where P(B|A) represents the conditional probability of B given that A has occurred.

Using the formula for the probability of the intersection of two events, we have:

P(A AND B) = P(A) * P(B|A)

Since A and B are independent, we can substitute P(B|A) with P(B):

0.30 = 0.60 * P(B)

Solving for P(B), we get:

P(B) = 0.30 / 0.60 = 0.50

Therefore, the probability of event B happening is 0.50 or 50%. This means that the occurrence of event A has no impact on the likelihood of event B happening, and vice versa. It's important to note that independence is a key assumption when using the multiplication rule to calculate the probability of the intersection of two events. If the events are not independent, this rule cannot be used, and other methods such as the addition rule or Bayes' theorem must be used to calculate probabilities.

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a. Constant speed, C =  0. 19 miles/minutes

b. The fraction representing her constant speed is  1/x miles/minutes

c. The time it takes her to drive exactly 1 mile is 5. 38 minutes

The formula for calculating constant speed is expressed as;

Constant speed = total distance covered/ total time taken

From the information given, we have that;

Now, substitute the values into the formula

Constant speed = 1. 3 / 7

Divide the values

Constant speed = 0. 19 miles/minutes

When distance 1 mile, time taken = x minutes

Constant speed = 1/x miles/minutes

If 1. 3 miles = 7 minutes

Then, 1 mile = x

cross multiply

x = 7/1. 3

x = 5. 38 minutes

Hence, the constant speed is 0. 19 miles/minutes

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Answer: in the third draw 33.33% people eliminated.

Step-by-step explanation:

Answer:

-3,-1,0,5,7

Step-by-step explanation:

Answer:

-3,-1,0,5,7

Step-by-step explanation:

The amount of water the farmer can put in the tank increase when the larger tank is built is 106.33%.It takes 4days for the horses to drink all the water in the larger tank.

Percentage is a way of expressing a proportion or a fraction out of 100. It represents the number of parts per hundred of a quantity.

Dimension refers to a measurable aspect of an object or a system, such as length, width, height, depth, volume, area, or mass. In mathematics, dimension also refers to the number of coordinates required to specify a point in a space. For example, a two-dimensional shape like a square has two dimensions, length and width, while a three-dimensional object like a cube has three dimensions, length, width, and height.

To find the percentage increase in the amount of water the farmer can put in the larger tank, we need to calculate the volume of the original tank and the volume of the larger tank, and then compare the two.

The original tank has dimensions of 2 4/5 ft, 2 2/5 ft, and 2 1/2 ft. We can convert these mixed numbers to improper fractions for easier calculations:

2 4/5 ft = (2 x 5 + 4)/5 ft = 14/5 ft

2 2/5 ft = (2 x 5 + 2)/5 ft = 12/5 ft

2 1/2 ft = (2 x 2 + 1)/2 ft = 5/2 ft

The volume of the original tank is then:

Volume = Length x Width x Height = 14/5 ft x 12/5 ft x 5/2 ft

Now, the farmer plans to increase measurement  by 25%. To do this, we multiply each measurement by 1.25.

The dimensions of the larger tank would be:

Length = 14/5 ft x 1.25 = 3.5 ft

Width = 12/5 ft x 1.25 = 3 ft

Height = 5/2 ft x 1.25 = 3.125 ft

The volume of the larger tank is then:

Volume = Length x Width x Height = 3.5 ft x 3 ft x 3.125 ft

To find the percentage increase, we can compare the two volumes:

Percentage increase = ((Volume of larger tank - Volume of original tank) / Volume of original tank) x 100

Plugging in the values we found:

Percentage increase = ((3.5 ft x 3 ft x 3.125 ft - 14/5 ft x 12/5 ft x 5/2 ft) / (14/5 ft x 12/5 ft x 5/2 ft)) x 100

After calculating the above expression, we find that the percentage increase is approximately 106.33%. So, the amount of water the farmer can put in the larger tank will increase by approximately 106.33% when the larger tank is built.

Now, to find how many days it will take the horses to drink all the water in the larger tank, we can assume that the rate at which the horses drink water remains constant. Since the volume of the larger tank is approximately 106.33% more than the original tank, it will take the horses approximately the same amount of time to drink all the water in the larger tank, which is 4 days.

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Answer: The solution to the expression is the result of the mathematical operations being performed in the correct order. The order of operations is: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

5/34 is a fraction, 22 2/3 is a mixed number, and 2 1/9 is also a mixed number. To perform the operations, we need to convert all these mixed numbers to fractions.

So, 22 2/3 is equal to (223+2)/3 = 68/3

and 2 1/9 is equal to (29+1)/9 = 19/9

Now the expression become 5/34 x 68/3 - 19/9

We can now perform the operations:

5/34 x 68/3 - 19/9

= (568)/(343) - 19/9

= 340/102 - 19/9

Now we have to perform subtraction, for this we need to have a common denominator:

= (3409 - 19102)/(102*9)

= 2861/918

The solution is 2861/918 which can be simplified to 3 3/34

Step-by-step explanation:

b equal for the top of the bookcase to have the correct area= 5 cm2

A solid object's surface area is a measurement of the total area that the surface of the object takes up.

The definition of arc length for one-dimensional curves and the definition of surface area for polyhedra (i.e., objects with flat polygonal faces), where the surface area is the sum of the areas of its faces, are both much simpler mathematical concepts than the definition of surface area when there are curved surfaces.

A smooth surface's surface area is determined using its representation as a parametric surface, such as a sphere.

This definition of surface area uses partial derivatives and double integration and is based on techniques used in infinitesimal calculus.

Henri Lebesgue and Hermann Minkowski at the turn of the century sought a general definition of surface area.

L × b = 300

b = 300 / L

b = 300 / 60 = 5

Hence, b equal for the top of the bookcase to have the correct area= 5 cm2.

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The polynomial with complex coefficients of the smallest possible degree is found as: P(x) = x⁴ + 17x² + 16.

The given zeroes for the polynomial is-

4i and 1i.

From the conjugate zeroes theorem, for the polynomial having eal coefficients.

Then, -4i and -i is also the zeroes of the polynomial.

Thus, forming the polynomial P(x).

P(x) = (x + i)(x - i).(x + 4i)(x - 4i)

Using the property.

P(x) = (x² - i²).(x² - (4i)²)

We know that, i² = -1

P(x) = (x² + 1).(x² + 16)

Simplifying the equation;

P(x) = x⁴ + 17x² + 16

In which the coefficient of the highest power (x⁴) is 1.

Thus, the polynomial with complex coefficients of the smallest possible degree is found as: P(x) = x⁴ + 17x² + 16.

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Answer:

f(x) = x³ - 4x + 6

f'(x) = 3x² - 4

a) f'(2) = 3(2²) - 4 = 12 - 4 = 8

6 = 8(2) + b

6 = 16 + b

b = -10

y = 8x - 10

b) 3x² - 4 = 0

3x² = 4, so x = ±2/√3 = ±(2/3)√3

= ±1.1547

f(-(2/3)√3) = 9.0792

f((2/3)√3) = 2.9208

c) 3x² - 4 = 8

3x² = 12

x² = 4, so x = ±2

f(-2) = (-2)³ - 4(-2) + 6 = -8 + 8 + 6 = 6

6 = -2(8) + b

6 = -16 + b

b = 22

y = 8x + 22

f(2) = 6

y = 8x - 10

The equation perpendicular to the tangent is y = -1/8x + 25/4

-The smallest slope on the curve is 2.92

The curve has the smallest slope at the point (1.15, 2.92)

The equations at tangent points are y = 8x + 16 and  y = 8x - 16

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

y = x³ - 4x + 6

Differentiate

So, we have

f'(x) = 3x² - 4

The point is (2, 6)

So, we have

f'(2) = 3(2)² - 4

f'(2) = 8

The slope of the perpendicular line is

Slope = -1/8

So, we have

y = -1/8(x - 2) + 6

y = -1/8x + 25/4

We have

f'(x) = 3x² - 4

Set to 0

3x² - 4 = 0

Solve for x

x = √[4/3]

x = 1.15

So, we have

Smallest slope = (√[4/3])³ - 4(√[4/3]) + 6

Smallest slope = 2.92

So, the smallest slope is 2.92 at (1.15, 2.92)

Here, we set f'(x) to 8

3x² - 4 = 8

Solve for x

x = ±2

Calculate y at x = ±2

y = (-2)³ - 4(-2) + 6 = 6: (-2, 0)

y = (2)³ - 4(2) + 6 = 6: (2, 0)

The equations at these points are

y = 8x + 16

y = 8x - 16

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Answer:

3÷1/6

Step-by-step explanation:

here is your answer. If it helps don't forget to like and Mark me

The equation of the line in the standard form exists 3x - y = 2.

The equation of a line is a representation of a line on an x-y plane that illustrates the relationship between x and y for each point on the specific line. When x and y are variables and a, b, and c are constants, a line has the standard form ax + by = c.

Y = mx + b is the slope-intercept form of a line, where x and y are variables, m is the line's slope, and b is the line's y-intercept.

The one-point formula reads: y - y₁ = m(x - x₁). to describe the equation of a line traveling through the point (x1, y1) and having a slope of m.

We are asked to graph a line with a slope = -3, passing through the point (1, -5).

We use the one-point formula to determine the equation of this line, with slope m = -3, (x₁, y₁) = (1, -5).

Substituting these values in the equation y - y₁ = m(x - x₁), we get

Let the equation be y - -5 = -3(x - 1)

simplifying the equation, we get

y = -3x + 3 - 5

y = -3x - 2

3x - y = 2

The equation of the line in the slope-intercept form exists y = -3x - 2

The equation of the line in the standard form exists 3x - y = 2.

We draw the locations (1,-5) (because it is obvious that the line goes through this location) and (0, 2) (since the y-intercept is at 2 and the line passes through the point (0, 2)) in order to graph this line. We draw a line connecting these places, then we expand it on both sides to create the necessary line.

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so we get

The equation shows that the number of toys that must be bought for them to have equal profit will be 212 toys.

From the information, it should be noted that the equation that can be used to represent the information about Jaclyn company will be:

= 2125 + (49.99 × x)

= 2125 + 49.99x

The equation that can be used to represent the information about Richie company will be:

= (39.95 × x)

= 39.95x

Therefore, we will equate both equations:

2125 + 49.99x = 39.95x

49.99x - 39.95x =2125

10.04x = 2125

x = 212

Therefore, the number of toys that must be bought for them to have equal profit will be 212 toys.

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Answer:

Step-1/2 a month interest rate is .41% divide 8.25% \ 2 half a month int rate is 41% = .412. Multiply 90900.00 x .412 x 8 years = $299606.40by-step explanation:

Answer:

sorry need point

Step-by-step explanation:

Answer:

sin (55) = cos (35)

sin (62) = cos (28)

Hope that this could help!! (▰˘◡˘▰)