1 1 point
Answer each of the following. Write your final answers in the blanks provided.
A building is 50 ft. high. At a distance away from the building, an architect observes that the angle of elevation to the top of the building is
28° How far is the observer from the base of the building? Round to the nearest foot.

Answer: 182 pounds.

Step-by-step explanation:

170+25= 195 195-10=185 185-3=182

Answer:

182 pounds

Step-by-step explanation:

170+25=195

195-10= 185

185-3=182

Answer:627.072

Step-by-step explanation:

Answer:

I am not sure if this is correct but:

Step-by-step explanation:

We can ensure trigonometric functions compute values appropriately by validating the results against known values. In order to ensure that the argument is in a short interval surrounding a place where an approximation is highly accurate, one performs a range reduction prior to computing things like a cos or sin.

By comparing the results to established values, we can make sure trigonometric functions compute values correctly. As an example, if we wanted to validate the cosine of 45 degrees, we could compare the result to the known value of 0.707. If the computed value is within a small margin of error of the known value, then we can assume the trigonometric function is computing values appropriately.

In order to calculate functions like cos or sin, one must first perform a range reduction to make sure the input is inside a narrow range surrounding a point where an approximation is highly accurate. It is typically close to zero.

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Answer:

2.8 or 2\(\frac{4}{5}\)

Step-by-step explanation:

1\(\frac{2}{5}\)

5*2

=10

10 + 1

= \(\frac{11}{5}\)

\(\frac{11}{5}\) + \(\frac{3}{5}\)

\(\frac{14}{5}\)

x = 2.8 or 2\(\frac{4}{5}\)

the length of BC is 10cm, in the given triangle.

What is are of the triangle?

The territory included by a triangle's sides is referred to as its area. Depending on the length of the sides and the internal angles, a triangle's area changes from one triangle to another. Square units like m2, cm2, and in2 are used to express the area of a triangle.

Assuming that BR = 3 cm AR = 4 cm AC = 11 cm

Knowing that tangents to an exterior point are always equal,

BR = BP = 3 cm then.

4 cm when AR = AQ

QC= AC- AQ= 11 - 4 = 7 cm

Q = P = 7 cm

As a result, BC = BP+PC = 3 + 7 = 10 cm.

As a result, BC has a 10 cm length.

Hence the length of BC is 10cm.

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There are 4 incongruent primitive roots and 6 has order 12 and it is a primitive root.

There are 12 elements of the group     \(U_{13}\)   , namely all the positive integers less than 13, as these are relatively prime to 13. Now, if there are primitive roots, there are     \(\phi (\phi (n))\)    of them. So we must compute     \(\phi (12) = \phi (4\times 3) = \phi (4) \phi (3) = 2\times 2 = 4\)   . There are 4 incongruent primitive roots.

To find them, take the powers each element in turn:

1, 2, 4, 8, 3, 6, 12, 11, 9, 5, 10, 7, 1  (2 has order 12, it is a primitive root)

Of course, the higher powers of 2 cannot be.

Proceeding this way, we get next get that 6, 7, and 11 are also primitive roots.

For example, the powers of 6 give: 6, 10, 8, 9, 2, 12, 7, 3, 5, 4, 11, 1. We see 6 has order 12 and it is a primitive root. So 2, 6, 7, 11.

Therefore, There are 4 incongruent primitive roots and 6 has order 12 and it is a primitive root.

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Answer:

M= 25

i think this is correct ans if this is correct ans pls give me brainliest.

Answer

Number of students Total cost

0 $800

20 $1160

30 $1340

40 $1520

50 $1700

Explanation

Given

Cost per student = $18

The cost of the bus = $800

Step-by-step solution:

The total cost for food, admission, and the bus can be calculated using;

18a + b

Where a is the number of students and b is the cost of the bus.

For 30 students:

$18(30) + $800 = $540 + $800 = $1340

For 40 students:

$18(40) + $800 = $720 + $800 = $1520

For 50 students:

$18(50) + $800 = $900 + $800 = $1700

Answer:

6.25 * 10^-2

Step-by-step explanation:

hmmmmmmmmm

The size of the angle QUP in the system formed by the equilateral triangle QUR, the equilateral triangle PUT and the square RUTS is equal to 150°.

By Euclidean geometry we know that squares are quadrilaterals with four sides of equal length and four right angles and triangles are equilateral when its three sides have equal length and three angles with a measure of 60°. In addition, a complete revolution has a measure of 360°.

Finally, we must solve the following equation for the angle QUP:

m∠QUR + m∠QUP + m∠PUT + m∠RUT = 360

60 + m∠QUP + 60 + 90 = 360

m∠QUP + 210 = 360

m∠QUP = 150

The size of the angle QUP in the system formed by the equilateral triangle QUR, the equilateral triangle PUT and the square RUTS is equal to 150°. \(\blacksquare\)

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The null and alternative hypothesis for testing to see if there is a relatonsip between age and opinion for the question asked by gallup is Divorce Opinions and Gender I.

We introduce the results of a

May 2010 Gallup poll of 1029 US adults. When asked if they view divorce as “morally acceptable”,

71% of the men and 67% of the women in the sample responded yes. In the test for a difference in

proportions, a randomization distribution gives a p-value of 0.165. Does this indicate a significant

Solution

If we use a 5% significance level, the p-value of 0.165 is not less than α = 0.05 so we would not

reject H0 : pf = pm. This means the data do not show significant evidence of a difference in the

proportions of men and women that view divorce as “morally acceptable”

Solution

(a) The p-value (0.003) is small so the decision is to reject H0 and conclude that the mean recall

for sleep (¯xs = 15.25) is different from the mean recall for caffeine (¯xc = 12.25). Since the mean

for the sleep group is higher than the mean for the caffeine group, we have sufficient evidence to

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Answer:

Step-by-step explanation:

The figure has rotation symmetry with 6 symmetric parts

It will map to itself every:

Correct choice is B

Answer:

First one and last one

Step-by-step explanation:

Answer:

-4

Step-by-step explanation:

→Distribute the -1 to (x - 1):

(x - 5) - (x - 1)

x - 5 - x + 1

→Add like terms (x and -x, -5 and 1):

-4

Answer:

-4

Step-by-step explanation:

(x-5)-(x-1)

x-5-x+1

x-x-5+1 = -4

So, we know that the internal angles of a triangle add up to 180 degrees, yes?  

60 degrees plus 50 degrees equals 110 degrees, and subtract 110 from 180, and you get 70 degrees for angle y.

Now, if the triangles are congruent (identical) and the shape you are describing is like an hourglass, then because of the vertical angles theorem, angle x should be 70 degrees too!  

Hope I helped!!  :)

10 %  is the probabbilty that it is one of the six mew england states.

What is the simple definition of probability?

A probability is a number that expresses the possibility or likelihood that a specific event will take place.

              Probabilities can be stated as proportions with a range of 0 to 1, or as percentages with a range of 0% to 100%.

Number of states that touch the Pacific Ocean = N(P) = 5

Total Number of States = (Sample Space)= N(s) = 50

Number of Event/Draw = 1

Therefore;

Probability = N(P) /N(s) = 5/50 = 1/10 = 10 %

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Answer:

48%

Step-by-step explanation:

Answer:

48%

Step-by-step explanation:

12/25 = x/100

12x100 = 25x

1200/25= x

x = 48%

The sentence is converted into a mathematical equation will be 3n + 5 = n + n + 1/3. Then the correct option is C.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

Five more than three times the number is one-third more than the sum of the number and itself.

Let the number be n.

Then convert the sentence into a mathematical equation. Then the equation will be

3n + 5 = n + n + 1/3

The sentence is converted into a mathematical equation will be 3n + 5 = n + n + 1/3. Then the correct option is C.

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Answer:

96.5714285714 km^2

Step-by-step explanation:

You have to multiply 52 by 13/7

Answer:

96.5714285714 km^2

hope it helps

The argument is valid. If a number is not prime, it does not imply that the number is odd.

The given argument is invalid. The argument's structure follows the form of denying the consequent (modus tollens). However, the argument itself contains a logical flaw. While it is true that all prime numbers greater than 2 are odd, it does not follow that a number being not prime implies it is not odd.

The argument assumes that the negation of being prime automatically leads to not being odd, which is not necessarily true. There exist non-prime numbers that are odd, such as 9, 15, and 21. Therefore, the fact that a number is not prime does not guarantee that it is not odd.

To establish the conclusion that a number is not odd based on it not being prime, additional information or reasoning is needed. Hence, the argument is invalid.

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Answer:

The number of gallons are "18".

Step-by-step explanation:

According to the question,

⇒ \(\frac{5}{6} V-\frac{1}{3}V =9 \ gallons\)

On taking L.C.M, we get

⇒ \((\frac{5-2}{6})V =9\)

⇒ \(\frac{3}{6}V=9\)

⇒ \(V=9\times 2\)

⇒ \(V=18\)

Answer:

funny

Step-by-step explanation:

The 8-puzzle problem can be categorized as a "Pathfinding problem."

The 8-puzzle is a classic problem in artificial intelligence and computer science. It involves a 3x3 grid with eight numbered tiles and one empty space. The objective is to rearrange the tiles from an initial configuration to a goal configuration by sliding them into the empty space.

The reason why the 8-puzzle problem is classified as a pathfinding problem is that it involves finding a sequence of moves or actions to reach a desired state or goal. In this case, the desired state is the goal configuration of the puzzle. The problem requires determining the optimal sequence of moves that lead to the goal state while considering the constraints and limitations of the puzzle.

Pathfinding problems involve finding the shortest or optimal path from a starting point to a goal or destination. In the 8-puzzle problem, the empty space serves as the movable "agent" that can slide adjacent tiles. The objective is to find the shortest sequence of moves or actions to transform the initial configuration into the goal configuration, effectively finding a path to the solution.

Therefore, due to its nature of finding an optimal sequence of moves to reach a goal state, the 8-puzzle problem can be categorized as a pathfinding problem.

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It would take approximately 100,000 quarters to reach a height of 575 ft, the height of the Washington Monument, when stacked vertically.

To determine the number of quarters required to reach the height of the Washington Monument, we need to calculate the number of quarters stacked that would equal a height of 575 ft.

The height of the Washington Monument is given as 575 ft. We need to find out how many quarters, which have a thickness of approximately 0.069 inches or 0.00575 ft, would need to be stacked to reach this height.
First, we convert the height of the Washington Monument to inches: 575 ft × 12 inches/ft = 6,900 inches.
Next, we calculate the number of quarters needed by dividing the total height in inches by the thickness of a single quarter: 6,900 inches ÷ 0.069 inches/quarter.
Using this calculation, we find that approximately 100,000 quarters would need to be stacked to reach the height of the Washington Monument.
Therefore, it would take approximately 100,000 quarters to reach a height of 575 ft, the height of the Washington Monument, when stacked vertically.

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Answer:

(I dont know which way your supposed to do it)

+4 +4

3x = 18

÷3 ÷3

X = 6

Answer:

62 degrees

Step-by-step explanation:

Answer:

52

Step-by-step explanation:

i know how to subtract

The statement " Rate of college enrollment immediately after completing high school was 67% by 1997" is an example of (a) Descriptive Statistics.

The Descriptive statistics involves the use of measures, such as averages, proportions, and frequencies, to summarize and describe the main features of a set of data.

In this statement, the rate of 67% is a summary statistic that describes the proportion of high school graduates who enrolled in college immediately after completing high school in 1997.

Whereas; the inferential statistics involves making inferences or predictions about a population based on a sample of data.

The statement provides a summary statistic for the rate of college enrollment for a specific year, 1997, but it does not provide any inferences or predictions about the rate of college enrollment for other years or other populations , so it denoted a Descriptive Statistics .

The given question is incomplete , the complete question is

What type of Statistics does the statement "the rate of college enrollment immediately after high school completion was 67" represents ?

(a) Descriptive

(b) Inferential

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Answer: The Interest rate was 1.4%

Step-by-step explanation:

7,170.60 - 7030 = 140.60

140.60 / 100 = 1.406

1.4%

Disclaimer: If I am wrong plz feel free to comment the correct answer in the comment section.

Answer:

2/1

Step-by-step explanation:

You can even check by doing 2 divided 1.

Hope this helps!!