When Adam sights the top of a 10-ft-high statue from 100 ft away, he finds an angle of elevation of 2.3°. When his friend Mark stands in the same location and sights the top of the same statue, he finds an angle of elevation of 2.6°. Assuming both boys measured correctly, which boy is taller? By how much?

The statement that proves that parallelogram KLMN is a rhombus is. The slope of KM is 1 and the slope of NL is –1.

This is a type of quadrilateral that has four sides of which they are all equal.

Hence, given that KLMN is a parallelogram, K(7,7), L(5,3), M(1,1) and N(3,5).

We know that they bisect each other and if the diagonals of a parallelogram are perpendicular to each other then the parallelogram is a rhombus.

Therefore, The slope of KM is 1 and the slope of NL is –1.

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Answer: D.

Step-by-step explanation: On Edge!!

Answer:

Find the value of x

In this problem i will assume that  U,V and W are collinear and V is between U and W

so

----> by addition segment postulate

substitute the given values

solve for x

step 2

Find the value of VW

substitute the value of x

Step-by-step explanation:

Answer:

94.5yd³

Step-by-step explanation:

volume = length × width × height

length = 7 yd , width = 4.5 yd and height = 3 yd

so volume = 7 × 4.5 × 3 = 94.5yd³

Answer:

8mm

Step-by-step explanation:

The volume of a cylinder is the base area times the height. The base is a circle, and we are not given the radius, so let the radius of the circle of the base of the circle be r. The area of a circle would be [tex]\pi r^{2}[/tex]. This multiplied by the height, which is 15, is [tex]15\pi r^{2}[/tex]. The volume is given to be 753.6, so we can make this an equation:

753.6 = [tex]15\pi r^{2}[/tex]

We are told to use 3.14 for pi, so:

[tex]753.6 = 15 * 3.14 * r^{2}[/tex]

[tex]r^{2} = 16[/tex]

[tex]r = 4[/tex]

The diameter is twice the radius, so the diameter is 8mm.

Answer:

8 mm

Step-by-step explanation:

Formula to find volume :

Volume (cylinder) = πr²h

⇒ 753.6 = 3.14 × r² × 15

⇒ 47.1 × r² = 753.6

⇒ r² = 753.6/47.1

⇒ r² = 16

⇒ r = 4 mm

Relating radius and diameter :

Diameter = 2 × Radius

⇒ Diameter = 2 × 4 mm

⇒ Diameter = 8 mm

Answer: If I am correct the answer is 201.06ft²

please do correct me if i am wrong.

Step-by-step explanation:

A=2πrh+2πr2=2·π·2·14+2·π·22≈201.06193ft²

Ans: 2/3

Step-by-step explanation:

Formula : [tex]m = \frac{y2 - y1}{x2- x1}[/tex]  (Then replace the number in )

= 3- (-1) / 4 - (-2) = 4 / 6 = 2 / 3

Step-by-step explanation:

the slope is always the ratio "y coordinate change / x coordinate change" when going from one point on the line to another.

so, when going from (-2, -1) to (4, 3)

x changes by +6 (from -2 to 4).

y changes by +4 (from -1 to 3).

therefore, the slope is

+4/+6 = 4/6 = 2/3

Answer:

 Multiply this measurement by two to account for both sides. Add the three separate measurements together. Because surface area is the total area of all of the faces of an object, the final step is to add all of the individually calculated areas together.

Step-by-step explanation:

Answer:

$2.16

Step-by-step explanation:

if the store sells 9 cm for $0.72

they are selling 27 cm now which is 3 times the amount of 9

so if 27 is 3 x the amount of cm than we need to triple to amount of the cost to.

and 0.72 x 3 is 2.16.

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Using sampling concepts, it is found that the sample would not support a valid inference, as both alphabetized and non-alphabetized students should be sampled.

It is a common statistics practice, when we want to study something from a population, we find a sample of this population, which is a group containing elements of a population. A sample has to be representative of the population, that is, it has to involve all segments of the population.

The school has both alphabetized and non-alphabetized students, and both groups should be sampled for a valid inference to be made. Since only alphabetized students are sampled, the sample would not support a valid inference.

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Using proportions, it is found that the coordinates of p in the line segment are given as follows: (-1,2).

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, the points are:

p is two-thirds the length of the line segment from a to b, hence:

[tex]p - a = \frac{2}{3}(b - a)[/tex]

For the x-coordinate, we have that:

[tex]x - 9 = \frac{2}{3}(-6 - 9)[/tex]

x - 9 = -10

x = -1

For the y-coordinate, we have that:

[tex]y + 8 = \frac{2}{3}(7 - (-8))[/tex]

y + 8 = 10

y = 2.

The coordinates of p are (-1,2).

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Answer: (-1,2)

Step-by-step explanation: took the test, got it right!

Unit rate

Answer:

1½ miles/day .

Step-by-step explanation:

To find:-

Answer:-

It is given that the crew made 8¼ miles of road in 5½ days . To find the rate of work done , simply divide the total length of road nade by total time taken . That would be , ( rate is represented by "r" . )

[tex]:\implies \sf r = 8\dfrac{1}{4}\div 5\dfrac{1}{2} \ miles/day\\[/tex]

Convert the mixed fraction into improper fraction.

[tex]:\implies \sf r = \dfrac{33}{4}\div \dfrac{11}{2} \ miles/day \\[/tex]

For dividing them , multiply the reciprocal of 11/2 by 33/4 as ,

[tex]:\implies \sf r = \dfrac{33}{4}\times \dfrac{2}{11} \ miles/day\\[/tex]

[tex]:\implies \sf r = \dfrac{3}{2} \ miles/day \\[/tex]

[tex]:\implies \sf \pink{ r = 1\dfrac{1}{2}\ miles/day } \\[/tex]

Hence the unit rate of constructing the road is 1½ miles/day .

Minimum number of hours which a person need to rent a tube in order for the second company to be a better deal is more than 2.5 hours.

A mathematical model is the model which is used to explain any system, the effect of the components by study and estimate the functions of systems.

Two companies (first and second) offers river tubing trips and the rates of them are as follows: The first company charges $7.50 rental fee for one tube, with a charge of $3.00 an hour.

For the x hours, the charge of the company is,

7.50+3.00x

The second company charges $10.50 rental fee for one tube with a charge of $2.00 an hour. For the x hours, the charge of the company is,

10.50+2.00x

Let x is the hour at which the cost of both companies are equal. Thus,

7.50+3.00x=10.50+2.00x

3x-2x=10.5-7.5

x=2.5

Thus, the minimum number of hours which a person need to rent a tube in order for the second company to be a better deal is more than 2.5 hours.

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The previous price given the percentage decrease is 400.

It follows from the task content that the previous price of the commodity is required;

let, x = previous price

New price = 340

Percentage decrease = 15%

Hence, it follows from the given information that;

340 = x - (15% × x)

340 = x - (0.15x)

340 = 0.85x

x = 340/0.85

x = 400

Therefore, the previous price given the percentage decrease is 400.

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Answer: Systematic sampling is a type of probability sampling method where sample members from a larger population are selected based on a random starting point but with a fixed, periodic gap.

Step-by-step explanation:

Answer:

81/5 or 16 1/5.

Step-by-step explanation:

First convert the mixed number to an improper fraction:

3 6/7

= (3*7 + 6) / 7

=  27/7.

So we have

27/7 / 5/21

Invert the second fraction and multiply:

= 27/7 * 21/5

= (27*21) / (7*5)

= (27*3) / 5        ( as 21/7 = 3)

= 81/5

= 16 1/5.

Answer:

The image isn't quite clear

An exponent is the number of times something is multiplied by itself

Answer: (1/5)^2 * x^3

lmk if any of these are wrong :)

Answer:

Left Side A → Right Side A

Left Side B → Right Side B

Left Side C → Right Side E

Left Side D → Right Side D

Left Side E → Right Side C

Answer:

The person above me is probably correct on theirs, but failed to realize that its mixed up differently on everyone else’s. Here are the answers-

If Richard Henry takes out $25,000 of ordinary whole life when he is forty-three years old is: A. Annual premium.

Annual premium can be defined as the premium amount a person pay per year, yearly or annually.

Based on the scenario the whole life is an example of long term insurance.

Reason been that  annual  premium are often used  for long term insurance in which the policy holder is expected to stop paying the premium when he/she reach a certain age that is stated on the policy terms and condition.

Therefore If Richard Henry takes out $25,000 of ordinary whole life when he is forty-three years old is: A. Annual premium.

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Answer:

618.25-annual     309.13-semiannual

Step-by-step explanation:

oddesy

Step-by-step explanation:

or, x°+(2x+17)°(2x+5)°=180°

or, x°+2x°+17°+2x°+5°=180°

or, 5x°+22°=180°

or, 5x°=180°-22°

or, 5x°=158°

or, x°=158/5

or, x°=31.6

now,

(2x+17)°=2*31.6+17=80.2°

(2x+5)°=2*31.6+5=68.2°

Answer:

I got the mean of A is 6 and the mean of b is 3.5

Step-by-step explanation:

If correct i dont mind brainlest

Answer:

1.59 ft.. sort of

Step-by-step explanation:

4th and final attempt:

10 * 5 + 2(10x + 2x) + 2(5x) = 104

50 + 2(12x) + 10x = 104

50 + 24x + 10x = 104

50 + 34x = 104

34x = 104 - 50

34x = 54

x = 54 / 34

x ~= 1.59

To make an informed decision about the best place to invest money, there would have to be an evaluation of the best company and their annual profits.

This refers to the placing of money or asset with the hope and plan that it would appreciate after a certain period of time.

Hence, we can see that because your question is incomplete, a general overview has to be used, and thus, by the use of financial analysis by checking the annual profit over the last five years, the best choice would emerge.

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Answer:

i believe its seven combinations

Step-by-step explanation:

Answer:

{X€ IR : x>2}

Or

[tex]x \in \: )2 \: + \infty ([/tex]

The product of the matrices is an identity matrix. Then Both the matrices are multiplicative inverse to each other.

A matrix is a specific arrangement of items, particularly numbers. A matrix is a row-and-column mathematical structure. The a_{ij} element in a matrix, such as M, refers to the i-th row and j-th column element.

The matrices are given below.

[tex]\left[\begin{array}{ccc}-3&7\\-2&5\end{array}\right] \ and \ \left[\begin{array}{ccc}-5&7\\-2&3\end{array}\right][/tex]

Then show that both the matrices are multiplicative inverse to each other.

If the product of the matrices is an identity matrix then the matrices are multiplicative inverse to each other.

Then we have

[tex]\left[\begin{array}{ccc}-3&7\\-2&5\end{array}\right] \left[\begin{array}{ccc}-5&7\\-2&3\end{array}\right] = \left[\begin{array}{ccc}1&0\\0&1\end{array}\right][/tex]

Then both the matrices are multiplicative inverse to each other.

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Answer:

45 minutes

Step-by-step explanation:

The minimum of a box-and-whisker plot is the leftmost endpoint, called the "whisker". This minimum is the smallest value collected in the data.

Answer:

The garden dimension are 9ft and 6ft

Step-by-step explanation:

As promised, Ive attached my work

There also could be the sizes of

3ft by 18ft

2ft by 27ft

1ft by 54ft

Answer: False

Step-by-step explanation:

The Pythagorean Theorem is [tex]a^2+b^2=c^2[/tex]

Answer:

false

Step-by-step explanation:

a2 + b2 = c2