Use the unit circle to find the value of sin (-90)

On solving the provided question we cans ay that the exact value of trigonometry cos x = 5/13

The area of mathematics known as trigonometry examines the correlation between triangle side lengths and angles. The area first appeared in the Hellenistic era, around the third century BC. from the use of geometry in astronomical study. The area of mathematics known as exact methods deals with specific trigonometric functions and how they might be used in calculations. There are six popular trigonometric functions in trigonometry. Sine, cosine, tangent, cotangent, secant, and cosecant are their respective names and acronyms (csc). Studying the characteristics of triangles, particularly right triangles, is called trigonometry. The study of geometry, however, is the characteristics of all geometric figures.

the exact value of cot x = 5/12  

cos x = we have to find

cot x = b/p

cos x = 5/13

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From the description of the image of rhombus, Diana and Melissa are correct

C. Both are correct. Both quadrilaterals have two pairs of parallel sides and all sides the same length.

A parallelogram's special case is the rhombus.

In a rhombus, the opposing sides are parallel and the opposing angles are equal.

A rhombus also has equal-length sides on each side, and its diagonals split at right angles. The rhombus is often known as a diamond or rhombus diamond.

From the description of the properties of rhombus it can be deduced that Melissa and Diana are correct to say that the the image is a rhombus

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For each new desk that is purchased, the amount of money left in the school’s desk fund decrease by -$110.

In order to determine by how much the amount of money left in the school’s desk fund decreases, we would have to determine the rate of change (slope).

Mathematically, the rate of change is also referred to as slope and it can be calculated by using this formula;

Rate of change (slope), m = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Rate of change (slope), m = (y₂ - y₁)/(x₂ - x₁)

Next, we would determine the rate of change of the dollars left in fund (y) with respect to the number of desks purchased (x), with the following data points (2, 480) and (5, 150):

Rate of change (slope), m = (150 - 480)/(5 - 2)

Rate of change (slope), m = 330/3

Rate of change (slope), m = -110.

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Complete Question:

The graph below shows the amount of money left in the school’s desk fund, f, after d desks have been purchased.

For each new desk that is purchased, by how much does the amount of money left in the school’s desk fund decrease?

Answer:

D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

because it is correct

The shortest possible path that goes through all four of these points and returns to the starting point could be 4.

An equation is an expression that shows the relationship between two or more numbers and variables.

A lattice point can be defined as the point of intersection of two grid lines or more than two grid lines that is placed in a regularly spaced points arrays. This is called a lattice point.

We are Given the shortest distance from the point (0, 0) to the point (3, 4) is 7.

We are required to find the shortest possible path that goes through all four of these points and returns to the starting point.

There can be 4 lattice points that lie on x2−y2 = (x+y)(x−y)=17.

17 has 4 factors: 1,17,−1, and −17.

Hence there can be 4 lattice points.

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The axis of symmetry of the given quadratic function is the vertical line x = -2. The correct answer would be an option (C).

A parabola is a U-shaped curve this is drawn for a quadratic function,

Determine the axis of symmetry of the quadratic function whose graph is y = - 2x² - 8x - 4.

The axis of symmetry of a parabolic function of the form y = ax² + bx + c is given by the formula x = -b/(2a).

In this case, a = -2, b = -8, and c = -4, so:

x = -(-8)/(2 × -2)

x = - 2

So, the axis of symmetry is the vertical line x = -2.

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Answer:

Step-by-step

Answer: We can solve this equation by isolating theta on one side of the equation.

First, divide both sides of the equation by sin theta:

sqrt(3) * cos theta / sin theta = sin theta / sin theta

The left side simplifies to:

sqrt(3) * (cos theta / sin theta) = sqrt(3) * tan(theta) = 1

So, tan(theta) = 1/sqrt(3)

Using the inverse tangent function, we can find that theta = 60 degrees.

Step-by-step explanation:

The solution of the expression will be [ 26 / 8 ].

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that 3 times as much as the sum of 3/4 and 2/6. The expression will be solved as below,

E = 3 [ ( 3/ 4) + ( 2 / 3 ) ]

E = 3 [ ( 18 + 8 ) / 24 ]

E = 3 x ( 26 ) / 24

E = 26 / 8

Therefore, the final solution for the expression is [ 26 / 8 ].

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All the given expressions are solved for specified values of {x}.

In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Given are the expressions as shown.

The expressions given are solved for specified values of {x} as follows -

Therefore, all the given expressions are solved for specified values of {x}.

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The cost per gallon of water is A)$0.0029.

What is word problem?

Word problems are often described verbally as instances where a problem exists and one or more questions are posed, the solutions to which can be found by applying mathematical operations to the numerical information provided in the problem statement. Determining whether two provided statements are equal with respect to a collection of rewritings is known as a word problem in computational mathematics.

Here According to the question ,

Cost of 1600 cubic feet of water = $34.80

Now Here 1 cubic feet =  7.481 gallon then,

Then 1600 cubic feet = 11968.83 gallon

Cost of 1 gallon of water = [tex]\frac{34.80}{11968.83}[/tex] = $0.0029

Hence the cost per gallon of water is A)$0.0029.

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Answer:

18°

Step-by-step explanation:

m<HLG+ m<HLI =90° being right angle

(9m)°+(25m+22)°=90°

9m°+ 25m°+22°=90°

34m°=90°-22°

34m°=68°

m°=68°/34°=2

since m<HLG =9m°=9*2°=18°

The sequence of transformations that maps ΔABC to ΔA'B'C' is the reflection across the line y = x and a translation 10 units right and 4 units up, equivalent to T₍₁₀, ₄₎

A transformation is a dramatic change in form or appearance. An important event like getting your driver's license, going to college, or getting married can cause a transformation in your life. A transformation is an extreme, radical change.

here, we have,

For a reflection across the line y = -x, we have, (x, y) → (y, x)

Therefore, the point of the preimage A(-6, 2) before the reflection, becomes the point A''(2, -6) after the reflection across the line y = -x

The translation from the point A''(2, -6) to the point A'(12, -2) is T(10, 4)

Given that rotation and translation transformations are rigid transformations, the transformations that maps point A to A' will also map points B and C to points B' and C'

Therefore, a sequence of transformation maps ΔABC to ΔA'B'C'. The sequence of transformations that maps ΔABC to ΔA'B'C' is the reflection across the line y = x and a translation 10 units right and 4 units up, which is T₍₁₀, ₄₎

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The area, in square units, of quadrilateral ABDE is 11.5.

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On solving the provided question. we can say that quadratic equation is  4x² + 4y2 + 8x ; x = 1 and y = 1 answer = 16

A quadratic equation is x ax2+bx+c=0, which is a quadratic polynomial in a single variable. a 0. The Fundamental Theorem of Algebra ensures that it has at least one solution since this polynomial is of second order. Solutions may be simple or complicated. An equation that is quadratic is a quadratic equation. This indicates that it has at least one word that has to be squared. The formula "ax2 + bx + c = 0" is one of the often used solutions for quadratic equations. where are numerical coefficients or constants a, b, and c. where the variable "X" is unidentified.

quadratic equation is

4x² + 4y2 + 8x

x = 1 and y = 1

answer16

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Using the standard 28/36 guidelines, the maximum mortgage payment allowed for someone with an annual salary of $72,550 is: $1,692.83.

First step is to find the monthly gross income

Monthly gross income = $72,550 /12 months

Monthly gross income = $6,045.83

Now let apply the standard 28/36 guidelines so as to find the  maximum mortgage payment allowed

Maximum mortgage payment allowed =  $6,045.83 × 28%

Maximum mortgage payment allowed =$1,692.83

Therefore the Maximum mortgage payment allowed is $1,692.83.

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The Geometric Sequence if first term is 9 and common ratio is 3 is 9,27,81,243,729 .

What is Geometric Progression ?

Geometric Progression can be defined when in  a sequence of numbers , if the ratio between consecutive numbers is same than it is said to be in Geometric Progression.

Given

The first term is 9

and common ratio is 3

So, we need to find the geometric sequence ,

Geometric sequence, An  = a * r^(n-1)

so here a=9

r = 3

a1 = 9

a2 = 9 * 3^(2-1)

a2 = 9*3

a2 = 27

a3 = 9 * 3^(3-1)

a3 = 9 * 3 * 3

a3 = 81

a4 = 9 * 3^(4-1)

a4 = 9 * 27

a4 = 243

a5 = 9*3^(5-1)

a5 = 9 * 81

a5 = 729

Hence, The Geometric Sequence if first term is 9 and common ratio is 3 is 9,27,81,243,729 .

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Answer:

Step-by-step explanation: We have to make the denominator the same so the GCM (most significant common multiple) is 12 so recipe A is equal to 9/12 while number B is 8/12 so we can determine that recipe A is the greatest so (recipe A is the answer)

The value of x is 16.8

If two triangles' I) corresponding angles and (ii) corresponding sides are equal, two triangles are said to be similar. (The ratio of adjacent sides' lengths is equal.)

•Triangle similarity should be expressed symbolically using the correct vertices' correspondence.

Take 2 pictures as ∆ABC and ∆PQR

∆ABC ~  ∆PQR

AB = 15 cm  , BC = 12 cm , PQ = 21 cm , QR= x cm

AB /PQ = BC/QR

15 /21 = 12/x

5/7 = 12/x

84/5 = x

x   =   16.8

so   the value of x is 16.8

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The required intermediate step is (x-5)² = 25 for the equation -5x² - 50x = -250.

Completing the square is a method used to rewrite the equation in the form (x+a)²=b. The intermediate step involves adding and subtracting the square of half of the coefficient of x in the equation.

To complete the square for the equation -5x² - 50x = -250:

First, we'll add and subtract (1/2 * 50)² = 625/4 on both sides of the equation:

-5x² - 50x + 625/4 = -250 + 625/4

Next, we'll factor out the x term on the left side of the equation:

-5x² - 50x + 625/4 = -250 + 625/4

-5(x² - 10x) + 625/4 = -250 + 625/4

-5(x² - 10x + 25) + 625/4 = -250 + 625/4

-5(x - 5)² + 625/4 = -250 + 625/4

The intermediate step is in the form of (x-5)² = (625/20 + 250)/5

So, the intermediate step is (x-5)² = 25

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Given g is a one-to-one function

g(1) = 5

g-1(5) = 1

Given h is a one-to-one function

h(x) = 4x + 9

y = 4x + 9

(y-9)/4 = x

h-1(x) = (x-9)/4

(h-1°h)(-2) = h-1(h(-2))

= h-1(1) [ as h(-2) = 1]

= (1-9)/4

= -2

The value of cos(A+B)​ is -4/5.

Suppose we've got trigonometric cosine of angle A and B measurements.

Then, we have:

[tex]\cos(A+B) = \cos(A)\cos(B) - \sin(A)\sin(B)[/tex]

If we get A = B, then:

[tex]\cos(2A) = \cos^2(A)- \sin^2(A)[/tex]

Given;

cosA=3/5

sinB=7/25

Now,cos(A+B) = cos A cos B - sin A sin B

for angle A 3^2+4^2 = 5^2

cos A = 3/5 so sin A = 4/5

for angle B 24^2 + 7^2 = 25^2

cos B = -24/25 and sin B = 7/25 because B is obtuse

Substituting the values in cos(A+B)​

=3/5*-24/25-4/5*7/25

=-72/125-28/125

=-100/125

=-4/5

Therefore, the value of trigonometric identity will be -4/5.

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The two equations given, "Y = 5x - 9" and "X = y + 5", are a pair of linear equations. We can solve for the values of x and y by using substitution or elimination method.

Here's how to solve using the substitution method:

Y = 5x - 9

Y = (y + 5) + 5 - 9

5x - y - 4 = 0

y = 5x - 4

X = y + 5

X = (5x - 4) + 5

X = 5x + 1

5x + 1 = X

5x = X - 1

x = (X - 1) / 5

y = 5x - 4

y = 5((X - 1) / 5) - 4

y = X - 1 - 4

y = X - 5

So, the solution to the system of equations is (x, y) = ((X - 1) / 5, X - 5).

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Answer:

Adriana cared for 40 children, and Brandy cared for 280 children.

Step-by-step explanation:

Let a = number of children cared for by Adriana.

Let b = number of children cared for by Brandy.

"together they cared for 320 children this week"

a + b = 320

"brandy cared for 7 times as many children as adriana."

b = 7a

a + b = 320

a + 7a = 320

a + b = 320

8a = 320

a + b = 320

a = 40

40 + b = 320

a = 40

b = 280

a = 40

Answer: Adriana cared for 40 children, and Brandy cared for 280 children.

Answer:

ask on

Step-by-step explanation:

first open your and go to the search tab and you got a scanner there

scan your question and you will got your answer....

x-intercept is (125,0)

y-intercept is (0,275)

What is the x-intercept?

The intersection of a function or equation's graph with the x axis is known as the x intercept. This can be compared to a point having a value of 0.

For any given curve, the x-intercept is a coordinate that is plotted on the x-axis. To put it another way, the x-intercept is the value of the x coordinate at the point where the graph crosses the x-axis, or we can say that it is the value of the x coordinate at a point where the value of the y coordinate equals zero.

y-intercept is the point where graph cuts the y-axis

x-intercept is (125,0)

y-intercept is (0,275)

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The equation of line is y = -50x + 300 , where the slope is m = -50 and the time t when Alonso was 225 miles away was t = 1.5 hours

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

Let the first point be P ( 2 , 200 )

Let the second point be Q ( 5 , 50 )

Now , the slope of the line between the points is ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = ( 200 - 150 ) / ( 2 - 5 )

Slope m = -150/3

Slope m = -50

And , the equation of line is y - y₁ = m ( x - x₁ )

Substituting the values in the equation , we get

y - 200 = -50 ( x - 2 )

On simplifying the equation , we get

y - 200 = -50x + 100

Adding 200 on both sides of the equation , we get

y = -50x + 300

So , when Alonso is at 225 miles away ,

Substitute the value of y = 225 miles , we get

225 = -50x + 300

Subtracting 300 on both sides of the equation , we get

-50x = -75

Divide by -50 on both sides of the equation , we get

x = 75/50

x = 3/2

x = 1.5 hours

Hence , the equation of line is y = -50x + 300

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Answer:

nonlinear

Step-by-step explanation:

cuz math

Answer:

both non linear I think hope this helps

We can conclude that -

A function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

The domain of a function f(x) is the set of all values for which the function is defined, and the range of the function is the set of all values that function takes.

Given are two functions as given in question.

[ 1 ] -

We can write the net change in the value as -

Δf(t) = {f(2 + h) - f(2)}

Δf(t) = {5(2 + h)² - 5(2)²}

Δf(t) = 5(4 + h² + 4h) - 5(4)

Δf(t) = 5{h² + 4h}

[ 2 ] -

f(t) = 5t²

t = (2)   to   t = (2 + h)

Now, for the given intervals, we can write the average rate of change

as -

{r} = Δf(t)/Δt

{r} = {f(2 + h) - f(2)}/{2 + h - 2}

{r} = {5(2 + h)² - 5(2)²}/{h}

{r} = {5(4 + h² + 4h) - 5(4)}/{h}

{r} = 5{(4 + h² + 4h) - 4}/{h}

{r} = 5{h² + 4h}/{h}

{r} = 5h(h + 4)/h

{r} = 5(h + 4)

Therefore, we can conclude that -

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Answer:

To find the scale factor between the two similar figures, we can use the ratio of their surface areas. Similar figures have the same shape but different sizes, so their surface areas will be in proportion to the scale factor.

We are given that the surface area of the first figure is 169 cm² and the surface area of the second figure is 121 cm².

The scale factor is the ratio of the surface area of the first figure to the surface area of the second figure.

The ratio can be found by dividing the surface area of the first figure by the surface area of the second figure:

169 cm² / 121 cm² = 13/9

So, the scale factor between the two similar figures is 13/9

Therefore, the answer is 13:9.