Bilquis is trying to find the height of a radio antenna on the roof of a local building. She stands at a horizontal distance of 29 meters from the building. The angle of elevation from her eyes to the roof (point A) is 17°, and the angle of elevation from her eyes to the top of the antenna (point B) is 31º. If her eyes are 1. 51 meters from the ground, find the heigh[of the antenna (the distance from point A to point B). Round your answer to the nearest meter if necessary. ​

Answer:

x = -3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Equality Properties

Distributive Property

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

Identify.

3x + 2 = x + 4(x + 2)

Step 2: Solve for x

Answer:

x=-3

Step-by-step explanation:

3x+2=x+4(x+2)

3x+2=x+4x+8

3x=5x+6

3x-6=5x

-6=2x

x=-3

Answer:

Step-by-step explanation:

x = 8

Since the distance from a point to point C is 1 and the distance from that same point to point B is 4, the point must be: C. point D.

In Mathematics and Geometry, a number line simply refers to a type of graph with a graduated straight line which comprises both positive and negative numbers that are placed at equal intervals along its length.

This ultimately implies that, a number line primarily increases in numerical value towards the right from zero (0) and decreases in numerical value towards the left from zero (0).

From the number line shown above, we have:

Distance = 4 + (-1)

Distance = 4 - 1

Distance = 3 (point D).

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Alexander would need to make monthly payments of $430 for the next 8 months to pay off his credit card debt.

To calculate the monthly payment that Alexander needs to make, we can use the formula for the present value of an annuity, which is:

\(PMT=PV*(r*(1+r)^n)/(1+r)^n-1)\)

Where:

PMT = Monthly payment

PV = Present value of the debt

r = Monthly interest rate

n = Total number of payments

First, we need to calculate the monthly interest rate. The annual interest rate is 16.8%, which means the monthly interest rate is 16.8%/12 = 1.4%.

Next, we can calculate the total number of payments that Alexander needs to make over 8 months.

n = 8

Now, we can plug in the values:

\(PMT = 3200*\frac {(0.014*(1+0.014)^8)}{((1+0.014)^8-1)}\)

This works out to approximately $430 per month (rounded to the nearest dollar).

Therefore, Alexander would need to make monthly payments of $430 for the next 8 months to pay off his credit card debt.

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The probability that a person on the list, known to have a Mastercard, also has an American Express card is  50%.

To find the probability that a person on the list, known to have a Mastercard, also has an American Express card,  use conditional probability.

Let's denote the following probabilities:

P(M) represents the probability of having a Mastercard.

P(A) represents the probability of having an American Express card.

P(A|M) represents the conditional probability of having an American Express card given that the person has a Mastercard.

From the given information,

P(M) = 40% = 0.40 (40% of the people on the list have only a Mastercard).

P(A) = 10% = 0.10 (10% of the people on the list have only an American Express card).

P(M ∩ A) = 20% = 0.20 (20% of the people on the list have both Mastercard and American Express cards).

P(neither) = 30% = 0.30 (30% of the people on the list have neither card).

To find P(A|M), use the formula for conditional probability:

P(A|M) = P(M ∩ A) / P(M)

P(A|M) = 0.20 / 0.40

P(A|M) = 0.50

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Answer:

1. 1/2, rise/run and since you rise one and run 2 it'll be 1/2

2. 7/0 = undefined automatically, there is no value(undefined) if there is no run

3. rise:   28 - 18         10             5

           _______ = _____ =  _____ = 5

run:         4 - 2             2             1  

4. 1, it rises 1 and runs 1

The value after double integration is 45.73

We can evaluate rectangle integrals in any order we like in Cartesian coordinates. We treat the other integral as a constant regardless of which integral we assess first; this is something to keep in mind while choosing the order of integration.

We want that x to be constant; we can easily integrate with respect to y. So we will evaluate y first. We get:

\(\int\limits^ \int\limits^ \frac{6x}{1+xy} dA=6\int\limits^6_0 \int\limits^1_0 {\frac{x}{1+xy} } \, dydx\)

\(or, 6\int\limits^6_0 {[In(1+xy)}_{0} ^{1} ]} \, dx\)

\(or, 6\int\limits^6_0 {In(1+x)} } \, -In 1dx\)

\(or, 6\int\limits^6_0 {In(1+x)} } \, dx\)

\(or,[(1+x)In(1+x)-(1-x)]^{6} _{0}\)

\(or,[7In7-In1-7+1]\\or,6(7In7-6)\\or,45.73\)

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Answer:

64°

Step-by-step explanation:

Angles in a straight line add up to 180° so 180° - 116° = 64°

The correct answer to the question is option d) 75 PCF.

To calculate the expected vertical load, we need to consider the weight of the concrete slab and the additional load due to the concrete's temperature and pouring rate. The weight of the slab can be calculated by multiplying the density of the concrete (150 PCF) by the depth (6 inches) and the area (1 square foot). This gives us a weight of 75 pounds per square foot (PSF).

The temperature and pouring rate do not directly affect the vertical load. The temperature and pouring rate are factors that may affect the structural integrity of the slab or the time it takes for the concrete to fully cure. However, they do not contribute to the actual load borne by the slab itself. Therefore, the correct answer is 75 PCF, as it represents the weight of the concrete slab alone.

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Answer:

I hope this helps

Step-by-step explanation:

180 Degree Rotation

When rotating a point 180 degrees counterclockwise about the origin our point A(x,y) becomes A'(-x,-y). So all we do is make both x and y negative.

Answer:

hi, if im right i believe it would be option 2

The type of sampling described, where the researchers intentionally select a sample with 50% straight and 50% LGBTQ+ respondents, is known as "disproportionate stratified sampling."

A. Disproportionate stratified sampling involves dividing the population into different groups (strata) based on certain characteristics and then intentionally selecting a different proportion of individuals from each group. In this case, the researchers are dividing the population based on sexual orientation (straight and LGBTQ+) and selecting an equal proportion from each group.

B. Availability sampling (also known as convenience sampling) refers to selecting individuals who are readily available or convenient for the researcher. This type of sampling does not guarantee representative or unbiased results and may introduce bias into the study.

C. Snowball sampling involves starting with a small number of participants who meet certain criteria and then asking them to refer other potential participants who also meet the criteria. This sampling method is often used when the target population is difficult to reach or identify, such as in hidden or marginalized communities.

D. Simple random sampling involves randomly selecting individuals from the population without any specific stratification or deliberate imbalance. Each individual in the population has an equal chance of being selected.

Given the description provided, the sampling method of intentionally selecting 50% straight and 50% LGBTQ+ respondents represents disproportionate stratified sampling.

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Statement 1: Some cats like turkey, the form is I, the subject class is Cats, and the predicate class is Turkey, statement 2: There are burglars coming in the window, the form is E, the subject class is Burglars, and the predicate class is Not coming in the window and statement 3: Everyone will be robbed, the form is A, the subject class is Everyone, and the predicate class is Being robbed.

The given categorical propositions and their forms are as follows:

(1) Some cats like turkey - Form: I:

Subject class: Cats,

Predicate class: Turkey

(2) There are burglars coming in the window - Form: E:

Subject class: Burglars,

Predicate class: Not coming in the window

(3) Everyone will be robbed - Form: A:

Subject class: Everyone,

Predicate class: Being robbed

In the first statement:

Some cats like turkey, the form is I, the subject class is Cats, and the predicate class is Turkey.

In the second statement:

There are burglars coming in the window, the form is E, the subject class is Burglars, and the predicate class is Not coming in the window.

In the third statement:

Everyone will be robbed, the form is A, the subject class is Everyone, and the predicate class is Being robbed.

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Answer:

A. Yes

B. No

C. No

D. The graph of the equations is attached

x = 2

Step-by-step explanation:

A. Yes, she will get the same solution

Given the solution is based on the two solutions, the solution will be the same for all algebraic methods used

B. No, the answer in A does not change

A system of two equations in two unknowns with no solution is an inconsistent system of equations and there should be no solutions for all correct algebraic methods used

C. No, the answer in A does not change

If there are infinitely many solutions, there will be infinitely many solutions for all correct algebraic methods used

D. The graph of the equations;

y = 2·x + 4...(1) and y = 3·x + 2.....(2) is attached

Subtracting equation (1) from equation (2), we have;

3·x + 2 - (2·x + 4) = y - y = 0

x - 2 = 0

∴ x = 2

The graphs of the two equations also intersect at x = 2.

There are several different sampling methods that could be employed for this study, including:

Simple random sampling: This method involves randomly selecting a certain number of students from each campus and measuring the distance between their hometowns and their campuses.

Stratified random sampling: This method involves dividing the student population at each campus into different strata (e.g. by major or year in school) and then randomly selecting a certain number of students from each stratum.

Cluster sampling: This method involves randomly selecting a certain number of campuses and then measuring the distance between the hometowns of all students at those campuses and their respective campuses.

Multi-stage sampling: This method involves using a combination of the above methods, such as first using cluster sampling to select a certain number of campuses and then using stratified random sampling to select a certain number of students from each campus.

This study would be an enumerative study because it seeks to measure the characteristics of a population, in this case, the average distance between the hometowns of students and their campuses, by counting and measuring them.

It is not an analytic study because it doesn't involve testing a hypothesis or making causal inferences.

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Answer: Angle 3

Step-by-step explanation:

Answer:

Ans 30 km per hour............

Answer:

Step-by-step explanation:

Total cost = Flat fee + 5.50 * number of hours

                 = 19.95 + 5.50*4

                  = 19.95 + 22

                  = $ 41.95

Step-by-step explanation:

Soln:-

Given,

Area of sticker=56 cm^2

Width of sticker=7 cm

Length of sticker=?

We know that,

Area of rectangle=l×b

or,56=l×7

or,l=56÷7

•°•l=8

Hence,the required length of the sticker is 8 cm.

Answer:

a

b

d

i did this for notes really helps

In polar coordinates, a four-cusped rose curve is defined by the equation `r=a sin (nθ)` or `r=a cos (nθ)`. In general, the curve will have a maximum of n cusps. If n is odd, the rose will have 2n petals, and if n is even, it will have n petals.

For problems 9 and 10, identify the type of graph and then sketch the graph of the given polar equation using the technique for that type of graph.

9. r = 4cos 8

Type of graph: 4-cusped rose curve

Explanation: In polar coordinates, a four-cusped rose curve is defined by the equation `r=a sin (nθ)` or `r=a cos (nθ)`. In general, the curve will have a maximum of n cusps. If n is odd, the rose will have 2n petals, and if n is even, it will have n petals.

9. r = 4cos 8is a four-cusped rose curve polar equation. In this case, a = 4 and n = 2, and we have `r=4cos(2θ)`. The graph of the given polar equation is a four-cusped rose curve. As per the equation, `r=4cos(2θ)`. The period of this curve is 90 degrees, and each petal is created during a rotation of 45 degrees. The angle of the first petal is 0, and the other angles are calculated as `45k`, where k is an integer. The value of r depends on the cosine of twice the angle, resulting in eight points that are equidistant from the origin. The diagram for the graph of this polar equation is shown below:

Graph: The polar curve of r = 4cos 8 is a four-cusped rose curve with four petals. The coordinates of the points on the curve are `(4cos(2θ),θ)`, where `0 ≤ θ ≤ 2π`. The graph for this polar equation is shown below: Thus, the graph of the given polar equation is a four-cusped rose curve.

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Answer:True
example:

89 and 84, 8 are equal, but next 9 is bigger than 4

We have proved that:

||a:kbk:||f ≤ ||a|| · ||b||

which is the same as:

∥a:kbk:∥f= ∥a:k∥2∥bk:∥2

To prove the given equation, we need to start with the definition of the norm of a vector.

Let a and b be two vectors in a vector space V.

Then, the norm of the vector a is denoted by ||a|| and is defined as follows:

||a|| = √(a · a)

where a · a is the dot product of the vector a with itself.

Similarly, the norm of the vector b is denoted by ||b|| and is defined as:

||b|| = √(b · b)

where b · b is the dot product of the vector b with itself.

Now, let's consider the norm of the product of the vectors a and b:

||ab|| = ∥a:kbk:∥f

This is the norm of the product of the vector a and b, which is a scalar. Using the definition of the dot product, we can write this as:

||ab|| = √((a · b) · (a · b))

Now, let's use the Cauchy-Schwarz inequality to simplify this expression:

||ab|| = √((a · b) · (a · b)) ≤ √(a · a) · √(b · b)

Using the definitions of ||a|| and ||b||, we can rewrite this as:

||ab|| ≤ ||a|| · ||b||

Squaring both sides, we get:

||ab||2 ≤ ||a||2 · ||b||2

Dividing both sides by ||b||2, we get:

||ab||2/||b||2 ≤ ||a||2

Multiplying both sides by ||b||2/||a||2, we get:

||ab||2/||a||2 · ||b||2 ≤ ||b||2

Finally, taking the square root of both sides, we get:

||a:kbk:||f ≤ ||a||2/||b||2 · ||b||

Simplifying this expression, we get:

||a:kbk:||f ≤ ||a||2 · ||b||

Dividing both sides by ||b||2, we get:

||a:kbk:||f/||b||2 ≤ ||a||2/||b||2

Taking the square root of both sides, we get:

||a:kbk:||f/||b|| ≤ ||a||/||b||

Multiplying both sides by ||b||, we get:

||a:kbk:||f ≤ ||a|| · ||b||.

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Answer:

4^4 or 256

Step-by-step explanation:

Answer:

\(4^{4}\)

The unit rate is 0.2

The banner attached to the archway will be at (1, 5) and (5.25, 3.938).

It's the locus of a moving point that keeps the same distance between a stationary point and a specified line. The focus is a non-movable point, while the directrix is a non-movable line.

The archway of the main entrance of a university is modeled by the quadratic equation

y = -x² + 6x ....1

The university is hanging a banner at the main entrance at an angle defined by the equation

4y = 21 − x ....2

Then the banner attached to the archway will be

From equations 1 and 2, we have

              4(-x² + 6x) = 21 - x

              -4x² + 24x = 21 - x

        4x² - 25x + 21 = 0

  4x² - 21x - 4x + 21 = 0

x(4x - 21) - 1(4x - 21) = 0

          (4x - 21)(x - 1) = 0

                             x = 5.25, 1

Then the value of y will be

When x = 5.25, then we have

y = -(5.25)² + 6(5.25)

y = 3.938

When x = 1, then we have

y = -(1)² + 6(1)

y = 5

The banner attached to the archway will be at (1, 5) and (5.25, 3.938).

The graph is given below.

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The key distinction between a parallelogram and a trapezoid lies in their side properties and the number of parallel sides they possess.

A parallelogram and a trapezoid are different geometric shapes with distinct properties and characteristics.

1. Shape: A parallelogram is a quadrilateral with opposite sides that are parallel. It has four sides and four angles, with opposite angles being equal. The opposite sides of a parallelogram are also congruent. In contrast, a trapezoid is a quadrilateral with only one pair of parallel sides. The other two sides are non-parallel.

2. Angles: In a parallelogram, the opposite angles are equal. The sum of the interior angles of a parallelogram is always 360 degrees. In a trapezoid, the angles can vary, and the sum of the interior angles is always 360 degrees as well.

3. Sides: In a parallelogram, the opposite sides are equal in length. In a trapezoid, the parallel sides are not necessarily congruent.

4. Diagonals: The diagonals of a parallelogram bisect each other, meaning they divide each other into two equal parts. In a trapezoid, the diagonals do not bisect each other.

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Answer:

(-0,6)

Step-by-step explanation:

Reflection in y-axis,negate the x

(x,y) = (-x,y)

Point (0,6)

(0,6) = (-0,6)

Hope it helps.

Answer: 112.5

Step-by-step explanation: When line AB and CD intersect at point E, angle AEC equals BED so you set them equal to each other and find what x is. 5x -20 = x + 50, solving for x, which gives you 17.5. Finding x will tell you what AEC and BED by plugging it in which is 67.5. Angle BED and BEC are supplementary angles which adds up to 180 degrees. So to find angle CEB, subtract 67.5 from 180 and you get 112.5 degrees.