For positive acute angles a an b, it is known that cos A =4/5 and sinB = 8/17. Find the exact value of sun (A-B) in simplest form

Answer:

Step-by-step explanation:

Answer:1 1/12

Step-by-step explanation: 3/4+1/3=13/12=1 1/12

The components of u and v are different, they are not equivalent vectors.

To determine if two vectors, u and v, are equivalent, we need to compare their magnitudes and directions.

Vector u has an initial point P1 = (3, 1) and a terminal point P2 = (4, -5).

The components of vector u are:

u = (4 - 3, -5 - 1) = (1, -6)

Vector v has an initial point P3 = (4, 3) and a terminal point P4 = (7, -1).

The components of vector v are:

v = (7 - 4, -1 - 3) = (3, -4)

Now, let's compare the components of u and v:

u = (1, -6)

v = (3, -4)

Know more about vectors here:

https://brainly.com/question/24256726

#SPJ11

The only true equation when 2x = 5 is 42.64 - 40.1 = 2.

To determine which equations are true if 2x = 5, we can substitute the value of x obtained from the equation 2x = 5 into each equation and check if the equality holds.

Given: 2x = 5

Let's substitute x = 2.5 into each equation:

1. 42.64 - 40.1 = 2

This equation is true since 42.64 - 40.1 = 2.54 = 2.

2. 2 + 1 = 6

This equation is false since 2 + 1 = 3 ≠ 6.

3. x = 3

This equation is false since x = 2.5 ≠ 3.

4. 6.8 + x = 11.8

This equation is false since 6.8 + 2.5 = 9.3 ≠ 11.8.

5. 8x = 20

This equation is false since 8(2.5) = 20 ≠ 20.

Therefore, the only true equation when 2x = 5 is 42.64 - 40.1 = 2.

Learn more about equations here:

https://brainly.com/question/29538993

#SPJ11

The missing value for the letter b can be determined by finding the ratio of pencils to pens and applying it to the known value of pencils. The value of b is 168.

To find the missing value for the letter b, we need to determine the ratio of pencils to pens based on the given information. We can do this by dividing the number of pencils by the number of pens in each case.

In the first case, the ratio is 18/72 = 1/4.

In the second case, the ratio is 29/35 = 1/5.

To find the missing value for b, we need to apply the same ratio to the number of pens in the third case, which is 140.

Using the ratio 1/5, we can calculate b as follows:

b = (1/5) * 140 = 28.

However, there seems to be a mistake in the given answer choices. The correct value of b based on the calculations is 28, not 168. Therefore, the missing value for the letter b is 28.

Learn more about missing value here:

https://brainly.com/question/28988928

#SPJ11

The answers are presented below:

The quadratic function can be represented by a quadratic equation in the Standard form: ax²+bx+c=0 where: a, b and c are your respective coefficients. In the quadratic function the coefficient "a" must be different than zero (a≠0) and the degree of the function must be equal to 2.

The vertex of an up-down facing parabola of the form ax²+bx+c is \(x_v=\frac{-b}{2a}\)  . Knowing the x-coordinate of vertex, you can find the y-coordinate of vertex. When a vertical line passes through the vertex of the parabola, it  is called the axis of symmetry.

The y-intercept is the point where the function crosses the y-axis. And, the x-intercept is the point where the function crosses the x-axis, in other words, when y=0.

First, you should convert the given equation to Standard form.

f(x) = -(c+7)² + 4

f(x)= - (c²+14c+49)+4

f(x)= -c²-14c-49+4

f(x)= -c²-14c-49+4

f(x)= -c²-14c-45

After that, you should check each option of the question.

Correct because present a degree 2 -- f(x)= -c²-14c-45

Incorrect because it is a quadratic function and this function is represented by a parabola.

The coefficients are: a=-1, b=-14, c=-45. Therefore,

\(c_v=\frac{-b}{2a}=-\frac{-14}{2*(-1)} =-\frac{-14}{-2}=-(7)=-7\)

Incorrect because x-coordinate of vertex is -7

Correct because  \(c_v=\frac{-b}{2a}=-\frac{-14}{2*(-1)} =-\frac{-14}{-2}=-(7)=-7\)

You can find the y-intercept using c=0, then f(x)= -c²-14c-45 will be:

f(x)=-45.

Incorrect because the y-intercept is (0,-45).

The coefficient a of a quadratic function is negative, thus the function has a point maximum. A relative maximum point is defined as the point where the function changes your direction. In other words, the values of the function increase before the relative maximum and the values decrease after the relative maximum.

Correct, see the attached image.

It is possible to find the number of roots or solutions from discriminant.

For quadratic equation the discriminant is determined by D=b²-4ac, where: a, b and c are coefficients.

If D > 0 - the function will have two real solutions;

If D = 0 - the function will have one real solution;

If D < 0 - the function will have imaginary solutions;

For given equation, the coefficients are: a=-1, b=-14, c=-45. Thus, D=(-14)²-4*(-1)*(-45)

D=196-180=16

D=16 thus D > 0

Incorrect because the D>0.

Read more about the quadratic function here:

brainly.com/question/1497716

Answer:C 151

Step-by-step explanation:

7 * 15=105 + 46=151

Answer: 788

Step-by-step explanation:

53/9 = \(5\frac{8}{9}\)

34/9 = \(3\frac{7}{9}\)

43/9 = \(4\frac{7}{9}\)

35/9 = \(3\frac{8}{9}\)

Answer:

see explanation

Step-by-step explanation:

let n and n + 2 be 2 consecutive even numbers , then

(n + 2)² - n² ← is the difference

= n² + 4n + 4 - n²

= 4n + 4

= 4(n + 1) ← a multiple of 4

7g - 6 = -20

Add 6 to both sides

7g = -14

Divide both sides by 7
g = -2

answer: g = -2

Answer:

-2

Step-by-step explanation:

7 negative 2's equals negative 14, minus 6 equals negative 20.

The parent function of the given function f(x) = 3(x - 9)².

A certain kind of relationship called a function binds inputs to essentially one output.

The machine will only accept specified inputs, described as the function's domain, and will potentially produce one output for each input.

As per the given function,

f(x) = 3(x - 9)²

Since, the general form of a parabola is given as,

f(x) = x²

Therefore, take 9 units right and multiply with 3 giving the parabola as,

f(x) = 3(x - 9)².

Thus,f(x) = x² is the parent function of f(x) = 3(x - 9)².

Hence "The parent function of the given function f(x) = 3(x - 9)²".

For more about the function,

brainly.com/question/23712366

#SPJ1

The parent function that can be used to graph f(x)=x²

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

We are asked to find the parent function that can be used to graph the function f(x) which is given as:

f(x)=3(x-9)²

We know that from the given options the parent function that best represents the relationship or that can be used to graph the function f(x) is:

f(x)=x²

since the function f(x)=3(x-9)²   is just a transformation of the parent function the transformation that is applied is a combination of a dilation with a scale factor '3' and a translation '9' units to the left and a reflection along 'x' axis.

Hence, the parent function is f(x)=x²

To learn more on Graph click:

https://brainly.com/question/17267403

#SPJ1

Answer: I think the perimeter is 17ab4

Step-by-step explanation:

Answer:0

Step-by-step explanation: You decreased by 4 means subtracting 4 from it.

Hope this helps!

Answer:

x = 5

Step-by-step explanation:

Tangents from a specific point are equal in length.

3x - 7 = 18 - 2x

5x - 7 = 18

5x = 25

x = 5

Answer:

\(9*(6-5) = (9*6)-(9-5)\)

Step-by-step explanation:

I can't really explain, but the disturbitive property opens brackets.

You multiply the number on the outside by each of the numbers on the inside, and use the symbol in the center to do stuff between the two products.

That's probably really confusing but whatever.

Therefore, the correct answer is c) 3, as there are three F ratios calculated in a 2x2 factorial design.

In a two-way analysis of variance (ANOVA) known as a 2x2

factorial design, there are three F ratios or F statistic values calculated. This design involves two independent variables, each with two levels or categories.

The three F ratios represent the main effects of each independent variable and the interaction between the two variables.The main effects F ratios determine whether there are significant differences between the levels of each independent variable individually, ignoring the other independent variable.

There will be two main effects F ratios, one for each independent variable.The interaction F ratio examines whether there is a significant interaction between the two independent variables. It determines whether the effect of one independent variable differs across the levels of the other independent variable.

This F ratio assesses the joint influence of both independent variables.

Learn more about factorial design,

brainly.com/question/18402941

#SPJ11

Answer:

move each dot up two lines and right two lines it should transfer the image to the right spot

Step-by-step explanation:

Answer:

A repeating decimal, also called a recurring decimal,

Step-by-step explanation:

Answer:2/3

Step-by-step explanation:

Answer:

X=50000/3 for x>0

Step-by-step explanation:

First get rid of log (3), toss it over exuation sign.

Then calculate the formula for double angle (sin 2x = sin²X + sin(X) x cos (X) + cos²X)

After you do that you should be able to divide everything with cos²X and get polynomial exuation which is solved by substitution method (you'll get tan and then switch it for lets say letter: t

Answer:

D. (2 , 1)

Step-by-step explanation:

STEP 1: Replace all occurrences of \(y\) with \(-3x+7\) in each equation.

\(-x+14=12\\y=-3x+7\)

STEP 2: Solve for \(x\) in the first equation.

\(x=2\\y=-3x+7\)

STEP 3: Replace all occurrences of \(x\) with \(2\) in each equation.

\(y=1\\x=2\)

Based on the given angles:

From the given lines and angles, we can identify:

Vertical angles are pair of angles with no adjacent line but share one meeting point and have congruent angles. Four pairs of vertical angles are:

Alternate interior angles are pair of angles within the parallel line (inside) that have congruent angles. Each pair cross the transversal line "t". Two pairs of alternate interior angles are:

Cogruent angles might come from several types of relationships, such as:

All angles congruent to angle ∠1 are:

All angels congruent to angle ∠2 are:

Supplementary angles are a pair of angles whose its sum is 180°. Supplementary angles might formed by several types of angles relationship, such as:

Pairs of supplementary angles are:

Consecutive interior angles:

Adjacent angles:

Corresponding angles are a pair of unadjacent angles but have congruent angles because they face the same direction. Pairs of corresponding angles:

Learn more about Angles here: brainly.com/question/28451077

#SPJ1

Answer:

The architect will need to inspect 185,772 square feet.

Step-by-step explanation:

The square feet the architect must inspect represents the lateral surface area of the square pyramid. Since the base of the pyramid is a regular polygon, a square, then the given formula can be used. Let P be the perimeter of the base and l be the slant height of 274 feet.

Find the perimeter of the base by multiplying the length of a side, 339 feet, by the number of sides of the base, 4.

So, the architect will need to inspect 185,772 square feet of the pyram

The total of 109327.5 feet² of the square area the architect needs to inspect.

A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are three sides and three angles in every triangle, some of which may be the same.

The sum of all three angles inside a triangle will be 180° and the area of a triangle is given as (1/2) × base × height.

There are many types of triangles such that right angle triangle, equilateral triangle, and much more.

A pyramid consists of 3 equal triangles given that the vertical height of a triangle is 215 feet, and the base is 339 feet.

Area of one triangle =  (1/2) × base × height.

⇒ (1/2)  × 339 × 215

⇒ 36442.5

Since in a pyramid, there are a total 3 triangles so

Total surface area = 3 × surface area of 1 triangle.

Total surface area = 3 × 36442.5 = 109327.5 hence correct answer will be 36442.5.

For more about triangles,

https://brainly.com/question/2773823

#SPJ2

Answer:

a=8

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

7 * 8 = 56

56 + 5 = 61

The graph of 3x-2y≤6 is the third graph, for 3x-2y<6 is the first graph, for 3x-2y>6 is the fourth graph and for 3x-2y≥6 is the second graph. The solution has been obtained using concept of linear inequality.

What is linear inequality?

A linear inequality is one that would produce a linear equation if the equals relation were used instead of the inequality. When multiplying or dividing both sides by a negative number in order to solve the inequality, the direction of the inequality is reversed. The entire set of solutions to an inequality is known as the solution set.

We are given for graphs, of which two graphs are dotted and two are simple straight line graphs.

The dotted graphs are drawn for the inequalities having < or >

Whereas the simple straight line graphs are drawn for the inequalities having ≤ or ≥.

Now, to notice the shaded pattern, we will see whether the equations are true for (0,0) or not

1. 3x-2y≤6

⇒ 0≤6

So, the equation is true for the point.

Hence, the third graph represents this equation.

2. 3x-2y<6

⇒ 0<6

So, the equation is true for the point.

Hence, the first graph represents this equation.

3. 3x-2y>6

⇒ 0>6

So, the equation is false for the point.

Hence, the fourth graph represents this equation.

4. 3x-2y≥6

⇒ 0≥6

So, the equation is false for the point.

Hence, the second graph represents this equation.

Hence, the graphs are matched with the inequalities.

Learn more about linear inequality from the given link

https://brainly.com/question/30340033

#SPJ1

Since, there are multiple questions so, the question answered above is attached below.

The diameter of the semicircle for the given area of the semicircle 1. 2717 square meters is equal to 1.8 meters.

Area of a semicircle = 1. 2717 square meters

The area of a semicircle is given by the formula,

A = πr^2 / 2

where A is the area

And r is the radius of the semicircle.

Rearrange the formula to solve for r,

r = √(2A/π)

Substituting the given value of A = 1.2717 square meters into this formula, we get,

⇒ r = √(2 × 1.2717 / π)

⇒ r = 0.9 meters

Since the diameter of a semicircle is twice the radius,

The diameter of this semicircle is equal to,

d = 2r

  = 2 × 0.9

   = 1.8 meters

Therefore, the diameter of the semicircle is equal to 1.8meters.

Learn more about diameter here

brainly.com/question/14034336

#SPJ4

The least integer greater than each number for log₅1/47 = -3

All whole numbers and negative numbers are considered integers. This means that if we combine negative numbers with whole numbers, a collection of integers results.

Let y = log₅1/47

We know, logₐ x = y, only if a^y= x

Therefore, 5^y = 1/47

So, we must find an integer y such that 5 &gt; 1/47

5^y &gt; 1/47

5^{-3} &gt; 1/47

(As, 5² = 25; 5³ = 125) (Since, 5² &lt; 47, the answer will be 5³ as 5³ &gt; 47)In this case, y = -3 will be the least integer to satisfy this inequality.

Therefore, the ultimate answer to the equation is log₅1/47 = -3

Find more about logarithms here https://brainly.com/question/13594584

#SPJ4

Answer:

6

Step-by-step explanation:

two equations can be derived from the question

y - 2x = 3 equation 1

y - 3x = -3 equation 2

y = number of toffees

x = number of children

subtract equation 2 from 1

x = 6

The given radical expression is (√x)^5. To rewrite it in rational exponent form, we need to express the square root (√) as a fractional exponent.

The square root (√) of x can be written as x^(1/2).

To raise x^(1/2) to the power of 5, we can multiply the exponents: (x^(1/2))^5 = x^(5/2).

Therefore, the radical expression (√x)^5 can be rewritten as x^(5/2) in rational exponent form.

In summary, (√x)^5 is equivalent to x^(5/2) in rational exponent form.

To Know more about radical expression Visit:

https://brainly.com/question/12887524

#SPJ11