What is the angle of elevation of the sun when a 47 ft mast casts a 26 ft shadow. Round to the nearest degree.

The number of entry codes will be 720.

The different ways in which items from a set may be chosen, usually without replacement, to construct subsets, are called permutations and combinations.

When the order of the selection is a consideration, this selection of subsets is referred to as a permutation; when it is not, it is referred to as a combination.

Given that you must first choose 3 letters and​ then, 3 ​single-digit numbers.

The number of arrangements will be calculated as,

Codes = 6!

Codes = ( 6 x 5 x 4 x 3 x 2 x 1 )

Codes = 720

Hence, the combination of the code will be 720.

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By solving the equation, a^4 + 1 + 1/a^4  this we get [tex]\frac{a^{8} + a^{4} + 1 }{a^{4} }[/tex]

Equations are considered to be equivalent when they have the same roots or solutions in an algebraic problem.

When the same number or expression is added to or removed from both sides of an equation, the equation is said to be similar.

A non-zero equation can be made equal by multiplying or dividing both sides by the same value.

To solve linear equations, utilize the steps that are provided below. Remove parentheses from each side of the equation and combine similar phrases to make it simpler. To separate the variable term on one side of the equation, use addition or subtraction. To find the variable, use division or multiplication.

Given,

[tex]a^{4} + 1 + \frac{1}{a^{4} }[/tex]

Taking [tex]a^{4}[/tex] as LCM,

⇒ [tex]\frac{a^{8} + a^{4} + 1 }{a^{4} }[/tex]

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Answer:

1) Linear, negative slope: -4/3  2) Slope: 3  3) Slope: -6, y-int: +2

Step-by-step explanation:

1. Slope = rise/run = [tex]\frac{3-(-1)}{-2-1} = -\frac{4}{3}[/tex]

2. Slope = rise/run (just pick 2) = [tex]\frac{1-(-2)}{1-0} = 3[/tex]

3. The breakdown is pretty simply just follow the slope formula y=mx + b thus m = slope = -6 and b= y-int = +2

Answer:

15x+3

Step-by-step explanation:

distributive property

3*5x= 15x 3*1= 3

The quadratic formula is used to solve a quadratic equation of the form ax^2 + bx + c = 0, where a, b, and c are constants and x is the variable.

Given an equation 25x^2 - 30x + 9 = 0, we can solve it using the quadratic formula as follows:

The quadratic formula is : x = (-b ± √(b^2 - 4ac)) / 2a

The values of a,b,c are:

a = 25, b = -30, c = 9

Now, we can substitute the values in the quadratic formula:

x = (-(-30) ± √((-30)^2 - 4(25)(9)))/2(25)

x = (30 ± √(900 - 900)) / 50

x = (30 ± √(0)) / 50

x = (30 ± 0) / 50

x = 30/50

x = 3/5 or x = -3/5

So the solutions of the equation 25x^2 - 30x + 9 = 0 are 3/5 and -3/5.

The combined volume of the cone and hemisphere is 5.23in³

To calculate the volume of the figure, we have to calculate the volume of the hemisphere and volume of the cone.

The formula of volume of cone;

v = 1/3πr²h

v = 1/3 * π * 1² * 3

v = π

v = 3.14 in³

The formula of the volume of hemisphere is given as;

v = 2/3 πr³

v = 2/3 * π * 1³

v = 2/3π

v = 2.093 in³

The volume of figure = volume of hemisphere + volume of cone

The volume of figure = 3.14 + 2.093

the volume of figure = 5.23in³

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Answer: he could have 8 pieces

Step-by-step explanation:

well you have 8 feet and if you need to get as many feet  cut out  well just do 8 divided by 1 and that is 8 and theres your qoutiont

The radius of the globe with a volume of 113.10 in³ is calculated to be

1.5 in

A globe is a spherical representation of the Earth, another heavenly body, or the celestial sphere. Globes have comparable functions as maps.

The globe has same shape as the sphere and hence we can use the formula fo volume of sphere to solve for a globe

The volume of sphere is solved using the formula/

v = 4/3 π r³

where

r is the radius of the sphere or globe

113.10 in³ = 4/3 π r³

π r³ = 3/4 * 113.10

π r³ = 9.825

r³ = 9.825 / π

r³ = 3.12739

r = ∛3.12739

r = 1.462 in

the radius of the globe is 1.5

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Answer: A=7, B=42

Step-by-step explanation:

Finding a: 5a-9=3a+5 (Because opposite sides are equal)

               2a = 14

             a = 7

Finding b: 3b = b+84   (Because opposite angles in a parallelogram are equal)

              2b = 84

            b = 42

Answer:

y = 2x - 3

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (5, 7 ) and (x₂, y₂ ) = (3, 3 )

m = [tex]\frac{3-7}{3-5}[/tex] = [tex]\frac{-4}{-2}[/tex] = 2 , then

y = 2x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (3, 3 ) , then

3 = 2(3) + c = 6 + c ( subtract 6 from both sides )

- 3 = c

y = 2x - 3 ← equation of line

Height of the tree = 60 feet

Two triangles are similar if they have the same ratio of corresponding sides and equal pair of corresponding angles.

Given,

Height of the person = 6 feet

Length of the shadow of person = 10 feet

Length of the shadow of the tree = 100 feet

Tree and person at distance of 90 feet

let 'h' be the height of the tree

Triangles made by Tree, the person and the shadows are similar

the following proportion counts

h : 6 = 100 : 10

h = (6×100)/10

h = 60 feet

the tree is 60 feet high.

Hence, 60 feet is the height of the tree.

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The value of the angle x in the parallel lines is 20.

When parallel lines are cut by a transversal line, angle relationships are formed such as corresponding angles, alternate interior angles, alternate exterior angles, linear angles, vertically opposite angles,  same interior angles, same exterior angles etc.

Therefore, a and b are the parallel lines. The parallel lines are cut by a transversal.

Same-side exterior angles are supplementary.

Hence,

5x + 10 + 4x - 10 = 180

5x + 4x  = 180

9x = 180

divide both sides by 9

x = 180 / 9

x = 20

Therefore,

x = 20

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The value of sec(A) is 2/√(13) in simplified form, in the standard position.

What is the point of intersection?

When the lines intersect, the point of intersection is the only point that the two graphs have in common, so the coordinates of that point are the solution for the two variables used in the equations.

The terminal ray of an angle in standard position passes through the point (x,y) in the coordinate plane, where x and y are the coordinates of the point of intersection of the terminal ray with the x-axis and y-axis respectively.

Given that the terminal ray of angle A passes through the point (-6,4)

The coordinates of the point of intersection of the terminal ray with the x-axis are (-6,0) and y-axis are (0,4)

Using the distance formula

The distance from the origin to the point (-6,4) is √((-6-0)^2 + (4-0)^2) = √(6^2 + 4^2) = √(36 + 16) = √(52) = 2*√(13)

Now we can use these coordinates to find the value of sec(A) which is defined as sec(A) = 1/cos(A) = distance of point from x-axis/distance from origin.

sec(A) = 4/2*√(13) = 2/√(13)

hence, the value of sec(A) is 2/√(13) in simplified form, in the standard position.

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Answer:

30

Step-by-step explanation:

3(8+2) = 3(10)

           = 30

Evaluate 8 + 2 first as it is surrounded by the brackets.

Remember the BODMAS rule, brackets comes before multiplication.

Answer: 30

Step-by-step explanation: You have to do Pemdas so start by adding 8+2 which equals 10. Multiply 10 x 3 which gives you your answer of 30.

Answer:

Step-by-step explanation:

Since triangle ABC is an equilateral triangle, all sides have the same length.

So BC = AB = CA

BC=AB, so AB=4

I don't know what you mean by Mf,

Angle F equals 40 degrees since DEF is an isosceles triangle.

Answer:

slope = 2

Step-by-step explanation:

calculate the slope m using the slope formula

m = \frac{rise}{run}

run

rise

= \frac{y_{2}-y_{1} }{x_{2}-x_{1} }

x 2−x y2 −y

with (x₁, y₁ ) = (- 1, - 5) and (x₂, y₂ ) = (2, 1) ← 2 points on the line

m = \frac{1-(-5)}{2-(-1)}

2−(−1)

1−(−5)

= \frac{1+5}{2+1}

2+1

1+5

= \frac{6}{3}

3

6

= 2

....................

The line of sight distance from the television camera to the base of the stadium is approximately 1778 m

Trigonometric identities are the functions that include trigonometric functions such as sine, cosine, tangents, secant, and, cot.

We are Given the following information;

Television camara at 13°

Altitude = 400

Since the formed angle is a 90° angle then we have;

90-13= 77

The trigonometric function that relates Hyp angle and Adj is Cos then

Cos ∅ = Adj /Hyp

where

angle = 77

adj=400

Hyp= The distance from camara to the stadium

then

Cos 77 = 400/Hyp

Hyp = 1778

Hence, the line of the sight is approximately 1778 m

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The value of x = 4 and y = 9 in the given parallel lines.

3x - 4 = 5/4x + 3; x = 4

2/3y + 3 = 1/3y + 6 = 9

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f(x) is an odd function. Therefore, option A is the correct answer.

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

The first part of the curve approaches x= -6, has a maximum at (-4, 3), and has a minimum at (-2, -2). The second part of the curve has a maximum at (1.5, 2.5), has a minimum at (4, -3), and approaches x=6.

The graph of an odd function consists of symmetry that is rotational with respect to the origin that means that the graph remains unchanged post the 180-degree rotation about the origin.

Therefore, option A is the correct answer.

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subtract from what she sees in the past four months

Answer:

B. 12

Step-by-step explanation:

you’ll have to divide

2916/243 = 12

Answer: B. 12

Step-by-step explanation: 2,916 ÷ 243= 12

A baseball glove or mitt is a large glove worn by baseball players of the defending team, which assists players in catching and fielding balls hit by a batter or thrown by a teammate.

Baseball was initially a glove-less sport. A player who played without gloves during the gradual switch to gloves was referred to as a "barehanded catcher"; this term did not refer to the position of catcher, but rather to the act of catching with bare hands.

The original glove was used mainly to smash a ball to the ground so it could be scooped up and was not webbed or particularly well adapted for catching. Due to a left hand injury, Doug Allison, a catcher for the Cincinnati Red Stockings, is one of the earliest players thought to have used a baseball glove.

Charlie Waitt, a first baseman and outfielder for St. Louis, donned the first known glove in 1875.

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2430 should be the other cost, if the smaller cost N1 920.

The answer of what square is equal to multiplied by

40×40×2`=800

45×45×2=1012.5

(1012.5÷800)×1920=2430

A quadrilateral is a polygon with the following characteristics.

Four vertices and four sides enclosing four angles

The total of a quadrilateral’s internal angles equals 360 degrees.

The sum of interior angles may alternatively be calculated using the polygon formula, which is (n -2) 180, where n is the number of sides of the polygon.

Parallelograms include the shapes square, rectangle, and rhombus.

A square is both a rectangle and a rhombus.

A rectangle or rhombus is not a square.

A trapezium is a parallelogram.

A trapezium is not the same as a parallelogram.

Kite does not form a parallelogram.

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The number of cups of sugar will Quinn need to make 16 pies is 8 cups

Number of Pies 3 5 9

Cups of Sugar 1 1/2 2 1/2 4 1/2

Number of cups of sugar Quinn will need to make 16 pies = x

Number of pies : cups of sugar

3 : 1 ½ = 16 : x

3 ÷ 3/2 = 16/x

3 × 2/3 = 16/x

6/3 = 16/x

cross product

6 × x = 16 × 3

6x = 48

divide both sides by 6

x = 48/6

x = 8 cups of sugar

Therefore, Quinn will need 8 cups of sugar to make 16 pies

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The teacher should pay the student 153.

Pay is a form of compensation or remuneration given to an individual in exchange for goods or services. It is typically a monetary amount, but can also be in the form of goods, services, or other benefits. Pay is usually received on a regular basis, such as a salary, wages, or commission, but can also include one-time payments, such as bonuses or severance packages. Pay can also be determined by the amount of time spent working or the amount of work completed.

The student has solved 17 problems correctly, so the teacher should pay them 9 for each one. Therefore, the teacher should pay the student 9 x 17 = 153.

This arrangement is beneficial for both parties involved. The student gets paid for their work, and the teacher receives help with their workload. This type of arrangement is commonly used in educational settings, as it allows the teacher to evaluate the student's understanding of the material while simultaneously being compensated for the help they provide. It is also a great way to motivate the student, as they know they will be rewarded for their hard work.
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Complete questions as follows-
Suppose that a teacher agrees to pay a student 9 for every problem in this chapeter that the student solves correctly. If the student solves 17 problems, how much should the teacher pay the student?

The correct roots  [tex]8x^{2} + 16x + 3 =0[/tex] are -0.211 and -1.790

Step-by-step Solution:

Given: [tex]8x^{2} + 16x + 3 =0[/tex]

If the quadratic equation is in the form of [tex]ax^{2} +bx+c=0[/tex]

Then, the roots of a quadratic equation are given by the following formula:

[tex]\frac{-b \± \sqrt{b^{2} -4ac}}{2*a}[/tex]    

where;  a,b, and c are the coefficients of "[tex]x^{2}[/tex]"," [tex]x[/tex]" and "constant" terms respectively.

⇒[tex]8x^{2} + 16x + 3 =0[/tex]

⇒[tex]\frac{-16 \± \sqrt{(16)^{2} -4*8*3}}{2*8}[/tex]

⇒[tex]\frac{-16 \± \sqrt{256 -96}}{16}[/tex]

⇒[tex]\frac{-16 \± \sqrt{160}}{16}[/tex]

⇒[tex]\frac{-16 \± 12.649{}}{16}[/tex]      

⇒[tex]\frac{-3.391}{16} \\ -0.211[/tex]         and        [tex]\frac{-28.649}{16} \\-1.790[/tex]

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Answer:

a)  m∠? = 48°

If a transversal line intersects two parallel lines, then the resulting alternate interior angles are congruent.

b)  m∠? = 71°

If a transversal line intersects two parallel lines, then the resulting corresponding angles are congruent.

c)  m∠1 = 115°

If a transversal line intersects two parallel lines, then the resulting alternate exterior angles are congruent.

d)  m∠2 = 62°

If a transversal line intersects two parallel lines, then the resulting same-side exterior angles are supplementary.

Step-by-step explanation:

Alternate Interior Angles Theorem

If a transversal line intersects two parallel lines, then the angles that are interior to the parallel lines and on the opposite side of the transversal line are congruent.

If a transversal line intersects two parallel lines, then the resulting alternate interior angles are congruent.

[tex]\implies m\angle ?=48^{\circ}[/tex]

Corresponding Angles Postulate

If a transversal line intersects two parallel lines, then the angles that are corresponding (in the matching corners) are supplementary.

If a transversal line intersects two parallel lines, then the resulting corresponding angles are congruent.

[tex]\implies m\angle ?=71^{\circ}[/tex]

Alternate Exterior Angles Theorem

If a transversal line intersects two parallel lines, then the angles that are exterior to the parallel lines and on the opposite side of the transversal line are congruent.

If a transversal line intersects two parallel lines, then the resulting  alternate exterior angles are congruent.

[tex]\implies m\angle 1=115^{\circ}[/tex]

Same-side Interior Angles Theorem

If a transversal line intersects two parallel lines, then the angles that are interior to the parallel lines and on the same side of the transversal line are supplementary.

If a transversal line intersects two parallel lines, then the resulting same-side exterior angles are supplementary.

[tex]\implies m\angle 2+118^{\circ}=180^{\circ}[/tex]

[tex]\implies m\angle 2=62^{\circ}[/tex]

Answer:

25

Step-by-step explanation:

I hope I'm correct have a good day :)

Answer: X = 400

Step-by-step explanation: Combine multiplied terms into a single fraction

one-fourth x equals 100

1 x over 4 end fraction equals 100

2

Multiply by 1

1 x over 4 end fraction equals 100

x over 4 end fraction equals 100

3

Multiply all terms by the same value to eliminate fraction denominators

x over 4 end fraction equals 100

4 ⋅ x over 4 end fraction equals 4 ⋅ 100

4

Cancel multiplied terms that are in the denominator

4 ⋅ x over 4 end fraction equals 4 ⋅ 100

x equals 4 ⋅ 100

5

Multiply the numbers

x equals 4 ⋅ 100