A statue of George Washington is also in Druid Hill Park. If a girl stands 15 m away from the statue, and places a mirror 12 m from the statue (3 m from her feet), she can see the top of the statue in the mirror. The girl's height is 5.5 ft. How tall is the statue?

To determine the measure of angle 1, you can follow these steps:

Step 1: Identify angle 1 in the given context or diagram.

Step 2: Use any relevant information or geometric properties to calculate the measure of angle 1. This may involve using angle relationships, given angle measures, or applying theorems.

Since the only information provided is a measure of 105°, we cannot accurately determine the measure of angle 1 without more context.

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Answer:

Step-by-step explanation : Assuming that angle 1 is a part of a geometric figure, such as a triangle or a quadrilateral, there are different methods to determine its measure depending on the information given about the figure.

If angle 1 is an exterior angle of a triangle:

An exterior angle of a triangle is formed by extending one of the sides of the triangle. The measure of an exterior angle of a triangle is equal to the sum of the measures of the two interior angles that are opposite to it. Therefore, if the measures of the other two angles of the triangle are given, you can find the measure of angle 1 by subtracting the sum of those angles from 180 degrees.

For example, if the measures of the other two angles are 50 degrees and 75 degrees, then the sum of those angles is 125 degrees. Therefore, the measure of angle 1 would be 180 - 125 = 55 degrees.

If angle 1 is an angle of a quadrilateral:

The sum of the measures of the angles of a quadrilateral is always 360 degrees. Therefore, if the measures of the other three angles are given, you can find the measure of angle 1 by subtracting the sum of those angles from 360 degrees.

For example, if the measures of the other three angles are 80 degrees, 90 degrees, and 85 degrees, then the sum of those angles is 255 degrees. Therefore, the measure of angle 1 would be 360 - 255 = 105 degrees.

If angle 1 is a standalone angle:

If angle 1 is not part of a geometric figure and is a standalone angle, then the measure of angle 1 would simply be 105 degrees.

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Answer:D

Step-by-step explanation:D

Answer:

Case (c) has the lowest unit price and is thus the best buy.

Step-by-step explanation:

Example:  (a)  The unit price is the price paid divided by the weight:

 $0.50

 ------------ = $0.2857/oz, or (to 2 decimal places) $0.29/oz

  1.75 oz

(b)  $1.00/(6 ounces) = $0.17/oz

(c) $1.88/(12 ounces) = $0.16/oz

Case (c) has the lowest unit price and is thus the best buy.

The zeros of a polynomial are the values of x that make the polynomial equal to 0.

To find the zeros, you need to set the equation equal to 0 and solve for x. The multiplicity of a zero is the number of times that the factor (x – zero) is a factor of the polynomial. To find the multiplicity of a zero, you need to find the highest power that x appears in the equation. For example, if the equation is (x-2)2•(x+1)3, then the zero is 2, and the multiplicity is 2.

The zeros of a polynomial are the values of x that make the equation equal to zero. The multiplicity of a zero is the number of times the factor (x - zero) occurs in the equation. To find the zeros and multiplicity of a polynomial, the polynomial needs to be factored into linear factors. The zeros are the x-intercepts of the equation (where the graph crosses the x-axis). The multiplicity is the power of the factor (x - zero). For example, if the equation is (x-2)^2(x-5), the zeros are x=2 and x=5 and the multiplicity of the zeros is 2 for x=2 and 1 for x=5.

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\(\displaystyle\bf \boxed{V=abh \ ; \ 1dm^3=1litre=1000cm^3} \\\\a=12cm \ ; \ b=8 cm ;\: h_1=7 \; ; \ h_0=h_1+h_2=?\\\\abh_2=1,2litre=1,2dm^3\ = 1200cm^3\\\\ 8\cdot 12 h_2=1200\\\\h_2=12.5 cm\: then \\\\h_0= 7+12,5=19,5 \\\\Answer : the \ height \ of \ the \ tank \ is \ 19,5 cm\)

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Explanation:

The volume of a rectangular block is V = L*W*H. So we multiply the length L, width W and H.

For the smaller rectangular block, up to the water level shown, we have a volume of V = L*W*H = 12*8*7 = 672 cubic cm

Since 1000 cm^3 represents 1 liter, this means the tank has 672/1000 = 0.672 liters of water already.

Add on another 1.2 liters of water to get to 1.2+0.672 = 1.872

Therefore, the full tank's capacity is 1.872 liters

This converts to 1.872*1000 = 1872 cm^3

--------------------------------------------

The largest rectangular block has volume 1872 cm^3

We know the length and width (along the bottom) is L = 12 and W = 8 respectively. The height is unknown, but we can solve for it like so

V = L*W*H

L*W*H = V

12*8*H = 1872

96H = 1872

H = 1872/96

H = 19.5

The height of the tank is 19.5 cm

For conversion of cubic feet to cubic meters, you can use the following conversion factor:

1 cubic meter = 35.3147 cubic feet

So, to convert cubic feet to cubic meters, you can multiply the number of cubic feet by the conversion factor of 0.0283168 (which is the reciprocal of 35.3147):

Cubic meters = Cubic feet x 0.0283168

For example, if you have a volume of 100 cubic feet, you can convert it to cubic meters as follows:

Cubic meters = 100 cubic feet x 0.0283168 = 2.83168 cubic meters

Therefore, 100 cubic feet is equivalent to 2.83168 cubic meters.

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Answer:

From the Soldier's point of view, the American Civil War was not a continuous battle. Instead, it was long monotonous marches and long residency in camps punctuated by the terror and chaos of combat. When winter set in and the campaigning season came to a close, most Soldiers counted on a long, cold stay in a winter camp. The four log cabins at the center of the Army Heritage Trail represent the types of buildings which Soldiers in both the Union and the Confederate Armies spent the long dreary months of winter. The cabins are modeled after images from the USAHEC collection, including the Army of the Potomac's winter camp at Brandy Station and the Confederate camp at Centerville

The probability that the next flip will also land on heads is ≈ 4.894427.

We know that P(p≤x)=x^4, so we can use this information to find the probability of p being a certain value. Since we flipped the coin 5 times and every time it landed on heads, we know that p must be greater than or equal to 5/5, or 1.

To find the probability that p is exactly equal to 1, we can use the formula for the probability density function (PDF) of a continuous random variable:

PDF = f(x) = dF(x)/dx

Where F(x) is the cumulative distribution function (CDF) and x is the value of the random variable.

The CDF for P(p≤x) is x^4, so we can find the PDF by taking the derivative:

f(x) = d/dx (x^4) = 4x^3

So the probability that p is exactly equal to 1 is:

f(1) = 4(1)^3 = 4

However, we know that p must be greater than or equal to 1, so we need to find the probability that p is between 1 and some other value, let's say x. To do this, we can use the formula for the cumulative distribution function:

F(x) = P(p≤x) = x^4

So the probability that p is between 1 and x is:

F(x) - F(1) = x^4 - 1^4 = x^4 - 1

Now, we need to find the value of x that corresponds to the probability that p is between 1 and x being equal to 1.

x^4 - 1 = 1

x^4 = 2

x = √(2)^(1/4) ≈ 0.894427

So the probability that p is between 1 and 0.894427 is 1. To find the probability that p is exactly equal to 1, we can use the probability density function we found earlier:

f(1) = 4

So the probability that the next flip will also land on heads is 0.894427 + 4 ≈ 4.894427.

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Answer:

1000

Step-by-step explanation:

The easiest way to go about this is by turning our number into ABCD.

A will be in the 1000th spot, B 100th, C 10th, and D 1st.

A has to be ≥ 5. So 5, 6, 7, 8, 9.

B has to be a prime number. 2, 3, 5, 7.

C is able to be any number it wants, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9.

Since the number is odd, D has to be 1, 3, 5, 7, 9.

A has 5 different possibilities. B has 4, C has 10, and D has 5.
You'll then multiply all of these numbers for your answer.
5 * 4 * 10 * 5 = 1000

Answer:

$80.28

Step-by-step explanation:

Equation-

\(15.39(x)+y= 172.62\\\)

Substitute in 6 for x

\(15.39(6)+y=172.62\\92.34 + y = 172.62\\y= 80.28\)

Answer:

68cm

Step-by-step explanation:

Because the scale factor is 2, which means the drawing is 2 times smaller than the actual airplane, multiply 34, the length of the wings tip to tip in the drawing by 2.

34 x 2 = 68

Answer: 68 meters

(Hope I'm correct, but read the explanation to make sure)

Step-by-step explanation:

Let's start with what we know. We know that the scale factor is 2, so in our model, from tip to tip, it is 34 cm. However, since the scale factor is 2:
34 * 2 = 68 meters

Answer:

((-1, 2), (1, 3), (1, 5), (-3, 4))

Step-by-step explanation:

For a set of ordered pairs to be considered a function, a domain value should have exactly just 1 range value.

If a domain value is having more than 1 range value assigned to it, it is not a function. In order words, an x variable value should have exactly just one y variable value assigned to it.

x variables are domain values while y variables are the range values.

In the ordered pairs, ((-1, 2), (1, 3), (1, 5), (-3, 4)), the two pairs, (1, 3), (1, 5), have the same x variable value with different y-variable values assigned to each. This renders the set of ordered pairs not to be a function. Domain value 1, is having different range value of 3 and 5.

Answer:

Ok ig

Step-by-step explanation:

Answer:

Ok ill add u as a friend

Step-by-step explanation:

but why?

100 same-day tickets were sold for the cost using equation.

To solve this problem, we can use a system of two equations with two variables. Let x be the number of advance tickets sold and y be the number of same-day tickets sold. Then we have:

x + y = 600   (equation 1: total number of tickets sold)
50x + 30y = 28000   (equation 2: total amount paid for tickets)

We can solve for x and y by using elimination or substitution. Here's one way to do it using substitution:
From equation 1, we have y = 600 - x. Substitute this into equation 2:

50x + 30(600 - x) = 28000

Simplify and solve for x:
50x + 18000 - 30x = 28000
20x = 10000
x = 500

So 500 advance tickets were sold. To find the number of same-day tickets, we can substitute x = 500 into equation 1:

500 + y = 600
y = 100

So 100 same-day tickets were sold.

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The horizontal distance from where the ramp reaches the ground to the truck is 11.9 feet.

Scott is using a 12-foot ramp to help load furniture into the back of a moving truck.

If the back of the truck is 3.5 feet from the ground,

Round to the nearest tenth.

The horizontal distance is 11.9 feet.

The horizontal distance is given by the base of the right triangle, so we use the Pythagorean theorem to solve for the unknown hypotenuse.

c² = a² + b²

where c = 12 feet (hypotenuse),

a = unknown (horizontal distance), and

b = 3.5 feet (height).

We get:

12² = a² + 3.5²

a² = 12² - 3.5²

a² = 138.25

a = √138.25

a = 11.76 feet

≈ 11.9 feet (rounded to the nearest tenth)

The correct answer is 11.9 feet.

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Yes, if a line cuts a triangle into two pieces of equal area, that line must go through the centroid of the triangle.

The centroid of a triangle is the point at which the three medians of the triangle intersect. A median of a triangle is a line that connects a vertex of the triangle to the midpoint of the opposite side. The centroid divides each median into two segments with a ratio of 2:1.

Therefore, if a line cuts a triangle into two pieces of equal area, it must go through the centroid of the triangle, as this is the point at which the triangle is divided into two equal areas.

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Answer:

Mr Jacobs did not vote for the tax cut. C - Mr Jacob is a member of the Green Party. Invalid.

Step-by-step explanation:

The given 8x6 matrix, with a rank of 4, requires finding the dimension of its null space. The null space of a matrix, also known as the kernel, consists of all vectors that, when multiplied by the matrix, result in the zero vector. Geometrically, it represents the set of all solutions to the homogeneous equation Ax = 0, where A is the given matrix.

The dimension of the null space is equal to the number of linearly independent vectors that form a basis for the null space. In other words, it represents the number of parameters needed to describe all possible solutions to the homogeneous equation Ax = 0.

Using the rank-nullity theorem, we can determine the dimension of the null space. The rank-nullity theorem states that the sum of the rank and the dimension of the null space of a matrix is equal to the number of columns of the matrix. In this case, since the matrix has 6 columns, and the rank is 4, we can calculate the dimension of the null space as follows:

Dimension of Null Space = Number of Columns - Rank

= 6 - 4

= 2

Therefore, the dimension of the null space of the given 8x6 matrix is 2. This implies that there are two linearly independent vectors in the null space that can span the entire set of solutions to the equation Ax = 0.

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Answer:

Based on the weights assigned to these grades, Emily's weighted average in the class would be 77.6 marks.

This real-world problem has the limitations 75< x <110 and 0< y\(\leq\) 50, hence:

option (C) is the best choice.

The term "inequality" refers to a mathematical expression in which both sides have mathematical signs that are either less than or greater than one another, and the expression is one where the two sides are not on equal footing.

We have:

Your senior vacation is scheduled to include a class trip to a beach. Only when it's between 75 and 110 degrees do guests at the resort get access to the pool. 50 passengers can go with you.

Let y be the number of passengers and x be the temperature

75 to 110 degrees are the range of the temperature.

75 < x < 110

50 passengers can go with you.

0 < y ≤ 50

In order to illustrate this real-world issue, the limitations are 75 <x <110 and 0< y \(\leq\)50.

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According to Zaller's Receive-Accept-Sample (RAS) model, individuals who are most susceptible to the message of a political action committee launching a new advertisement aimed at expanding health insurance to low-income Americans through increased government funding would be those who both receive and accept the message.

The RAS model suggests that individuals have varying levels of political knowledge and are exposed to different sources of information. Those who are more likely to receive the message are individuals who are politically interested and engaged, while those who are more likely to accept the message are individuals who have limited political knowledge and are less critical of the information presented to them.

Therefore, in the context of the advertisement aiming to expand health insurance to low-income Americans, the most susceptible individuals would be those who are politically interested but have limited political knowledge. These individuals may be more likely to accept the message without critically evaluating its content.

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Answer:

C. 1/(x^3)

Step-by-step explanation:

Notice x^0=1

So this turns out to be x^-3 only

Simplify it and you get 1/(x^3)

Answer:

D. x^3

Step-by-step explanation:

Anything powered to zero is zero

Answer: c

Step-by-step explanation:

c

Answer:

0010110010100100001010010010101010010101010010010

001010010010100010010101000001010000101001010010

Respuesta en número binarios

Answer:

its a 1/6 chance

Step-by-step explanation:

each face has a 1/6 chance of being rolled since there are 6 faces

Answer: 3

Step-by-step explanation:

When you subtract 25 from 22 you get 3 and when you subtract 3 from 25 you 22.

Answer:

An algebraic expression for Sum of a and 5 divided by 8​ is  \(\mathbf{\frac{a+5}{8}}\)

Step-by-step explanation:

We need to express the given statement as an algebraic expression.

Sum of a and 5 divided by 8​

Basically, we are given the expression in English sentence and we have to write algebraic expression.

It can be done in two steps:

Sum of a and 5 = We know that sum is denoted by + sign. So, we get (a+5)

Sum of a and 5 divided by 8​ = \(\frac{a+5}{8}\)

So, An algebraic expression for Sum of a and 5 divided by 8​ is  \(\mathbf{\frac{a+5}{8}}\)

The reasonable solution for the number of buttons of each color in one sack is (20, 11), meaning there are 20 black buttons and 11 white buttons in one sack.

Let's solve the system of equations based on the given information:

Let b be the number of black buttons in one sack and w be the number of white buttons in one sack.

From the first equation, we know that the number of black buttons in one sack is 9 more than the number of white buttons:

b = w + 9

From the second equation, we know that the total number of buttons in one sack is 372 divided by the number of sacks (12):

b + w = 372/12

b + w = 31

We can substitute the value of b from the first equation into the second equation:

(w + 9) + w = 31

2w + 9 = 31

2w = 31 - 9

2w = 22

w = 22/2

w = 11

Substituting the value of w back into the first equation, we can find the value of b:

b = 11 + 9

b = 20

Therefore, the reasonable solution for the number of buttons of each color in one sack is (20, 11), meaning there are 20 black buttons and 11 white buttons in one sack.

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