65 points!!!!!!!!!
Malaya is standing directly between a 90 foot tall courthouse and a 54 foot tall bank. If the angle of elevation from the point where Malaya is standing to the top of the courthouse is 72 degrees, while the angle of elevation to the top of the bank is 35 degrees. What is the distance between the courthouse and the bank? Show all your work to get credit!

Answers

Answer 1

Answer:

106.36 ft

Step-by-step explanation:

Let the distance from the point Malaya is standing to the courthouse be x and the distance to the bank is y

x + y is the distance between the courthouse and the bank

Then we have:

x/90 = cot 72° ⇒ x = 90 cot 72° = 90*0.3249196962 = 29.24 ft (rounded)y/54 = cot 35° ⇒ y = 54 cot 35° = 54*1.4281480067 = 77.12 ft (rounded)x + y = 29.24 + 77.12 = 106.36 ft
Answer 2

Answer:

106.3ft

Step-by-step explanation:

x= tan72=90/x

x= 90/tan 72

x= 29.2

y= tan35=54/y

y= 54/tan35

y= 77.1

x+y= answer

29.2 + 77.1 = 106.3


Related Questions

I need this answer NOW pls help
A linear function contains the following points.

What are the slope and y-intercepts?

O A. the slope is -3.
the y-intercept is (0, -1)
O B. O A. the slope is 3
the y-intercept is (-1, 0)
O C. the slope is 1/3
and the y-intercept is (0, -1)
O D.the slope is 3.
the y-intercept is (0, -1)

I need this answer NOW pls helpA linear function contains the following points.What are the slope and

Answers

Answer:

its samanthas ocupation

Step-by-step explanation:

Answer:

The answer is D

Step-by-step explanation:

I just took the test and i got this question right with that answer.

what’s the quotient of -15b^5+18b^3/3b

Answers

This is the quotient of (-15b^5 + 18b^3) divided by 3b. The expression simplifies to -5b^4 + 6b^2.

To find the quotient of the expression (-15b^5 + 18b^3) divided by 3b, we can perform the division by simplifying each term separately.

First, let's divide -15b^5 by 3b:

(-15b^5) / (3b) = -15/3 * b^5/b = -5 * b^(5-1) = -5b^4

Next, let's divide 18b^3 by 3b:

(18b^3) / (3b) = 18/3 * b^3/b = 6 * b^(3-1) = 6b^2

Now, we have simplified each term individually. The resulting expression is:

-5b^4 + 6b^2

This is the quotient of (-15b^5 + 18b^3) divided by 3b. The expression simplifies to -5b^4 + 6b^2.

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When writing a proof, how do you construct the first statement?
A) By writing the justification for the first statement in the right column.
B) By copying the “prove” statement(s) from the original problem.
C) By writing the next logical statement from the current one.
D) By copying the “given” statement(s) from the original problem.

Answers

When writing a proof, you should construct the first statement by copying the “prove” statement(s) from the original problem. The Option B is correct.

How should you construct the first statement in a proof?

When constructing the first statement in a proof, it is important to begin with copying the “prove” statement(s) from the original problem. This involves writing the next statement based on the given or previously proven statements.

It is not helpful to write a justification for the first statement in the right column without considering its logical connection to the problem. By beginning with a logically connected statement, the proof can proceed in a clear and organized manner which leads to a valid conclusion.

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Using a calculator or statistical software, find the linear regression line for the data in the table below.

Using the regression with the values rounded to the nearest hundredth, find the value of y at x=7. Round your answer to the nearest hundredth if necessary.

x y
0 2.83
1 3.33
2 6.99
3 8.01
4 7.62
5 7.66

Answers

Rounded to the nearest hundredth, the value of y at \(x = 7\) is approximately \(12.78\), according to the concept of linear regression line.

To find the linear regression line for the given data, we can use statistical software or a calculator. The equation of the linear regression line is of the form \(y = mx + b\), where m represents the slope and b represents the y-intercept.

Using the provided data, the linear regression line equation is:

\(\[ y = 1.3642x + 3.2324 \]\)

To find the value of \(y\) at \(x = 7\), we substitute \(x = 7\) into the equation:

\(\[ y = 1.3642(7) + 3.2324 \]\)

Simplifying the equation, we get:

\(\[ y = 9.5494 + 3.2324 \]\[ y = 12.7818 \]\)

In conclusion, the linear regression analysis allows us to determine the relationship between the variables x and y in the given data set. By finding the equation of the linear regression line, we can estimate the value of y for any given x. In this case, the linear regression line equation is \(y = 1.3642x + 3.2324\). By substituting \(x = 7\) into the equation, we find that the estimated value of y is approximately \(12.78\). This analysis provides a useful tool for predicting and understanding the relationship between variables, allowing us to make informed decisions and interpretations based on the data.

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hihhhhi someone help please ..

hihhhhi someone help please ..

Answers

Answer:

1. 2³

2.2⁵= 2×2×2×2×2= 32

2⁶= 2×2×2×2×2×2= 64

Step-by-step explanation:

hope it helps

Answer:

1. \(2^{3}\)

2. It represents \(2*2*2*2*2\) and \(2*2*2*2*2*2\)

Step-by-step explanation:

1. it would have to be an exponent so 2*2*2 is 8 and 2^3 is also 8

2. it is an exponent so it would basically be multiplying the number times the number/amount of exponents so 2^5= 32 and 2^6=64

hope this helped :)  

What is greater -3 pi or -9

Answers

-3 pi since it isn’t a big negative number going towards being positive witch is more higher
if -3 and pi are both connected, then the answer is -9 because -3x3.14 is about -9.425
if pi is a separate answer, then it is pi
hope this helps :)

find the equation of a line perpendicular to 2x + 2y= -10 that passes through the point (6,2)​

Answers

Answer: The equation of a line perpendicular to 2x + 2y = - 10 that passes through the point (6, 2) is y = x - 4

can someone please help

can someone please help

Answers

Answer:

The measure of CD is 46

Step-by-step explanation:

From the midpoint theorem, we have,

FG = (1/2)CD

so,

\(13+5x=(1/2)(-3x+52)\\So,\\2(13+5x)=-3x+52\\26+10x=-3x+52\\13x=52-26\\13x=26\\x=26/13\\x=2\)

Now,

\(CD = -3x+52\\since \ x=2\\we \ get\\CD=-3(2) +52\\CD=-6+52\\CD=46\)

3x-4=23 solve the equation

Answers

Answer:

9

Step-by-step explanation:

first add 4

3x=27

divide 3

x=9

Answer:

= 9

Step-by-step explanation:

3 − 4 = 2 3

Add 4 to both sides of the equation:

3 − 4 + 4 = 2 3 + 4

Simplify:

3=27

Divide both sides of the equation by the same term:

3/3=27/3

Cancel terms that are in both the numerator and denominator:

=27/3

Divide the numbers:

x=9

Done!

what type of object around in locality​

Answers

Objects commonly found in a locality include residential buildings, commercial establishments, public facilities, transportation infrastructure, landmarks, natural features, utilities, street furniture, and vehicles.

The type of objects that can be found in a locality can vary greatly depending on the specific location and its surroundings. Here are some common types of objects that can be found in a locality:

Residential Buildings: Houses, apartments, condominiums, and other types of residential structures are commonly found in localities where people live.

Commercial Establishments: Localities often have various types of commercial establishments such as stores, shops, restaurants, cafes, banks, offices, and shopping centers.

Public Facilities: Localities typically have public facilities such as schools, libraries, hospitals, community centers, parks, playgrounds, and sports facilities.

Transportation Infrastructure: Localities usually have roads, sidewalks, bridges, and public transportation systems like bus stops or train stations.

Landmarks and Monuments: Some localities may have landmarks, historical sites, monuments, or cultural attractions that represent the area's heritage or significance.

Natural Features: Depending on the locality's geographical characteristics, natural features like parks, lakes, rivers, mountains, forests, or beaches can be present.

Utilities: Localities have infrastructure for utilities such as water supply systems, electrical grids, sewage systems, and telecommunications networks.

Street Furniture: Localities often have street furniture like benches, streetlights, waste bins, traffic signs, and public art installations.

Vehicles: Various types of vehicles can be found in a locality, including cars, bicycles, motorcycles, buses, trucks, and possibly other modes of transportation.

It's important to note that the objects present in a locality can significantly differ based on factors such as urban or rural setting, cultural context, economic development, and geographical location.

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A bowl of mixed vegetables contains carrots, broccoli, and cauliflower. If the bowl contains 80 vegetable pieces, and 25% of the pieces are carrots, how many carrots are in the bowl?

Answers

Answer:

Number of carrot pieces in bowl = 20

Step-by-step explanation:

Given:

Total number of vegetable pieces = 80

Percent of carrot = 25%

Find:

Number of carrot pieces in bowl

Computation:

Number of carrot pieces in bowl = Total number of vegetable pieces x Percent of carrot

Number of carrot pieces in bowl = 80 x 25%

Number of carrot pieces in bowl = 80 x 0.25

Number of carrot pieces in bowl = 20

Answer:

20

Step-by-step explanation:

I took it on Edge

What data collection
used in face-to-face
or written questionnaires?
method is
interview
O A. survey
O B. observation
O C. experiment
O D. publication

Answers

Answer:

survey (A)

A questionnaire (or someone asking questions) is considered to be a survey. It is "surveying" someone's opinion on data.

hope this helps!!

Find the volume of a pyramid with a square base, where the side length of the base is
10.6
in
10.6 in and the height of the pyramid is
12.3
in
12.3 in. Round your answer to the nearest tenth of a cubic inch.

Answers

Answer:

V = 460.68

Step-by-step explanation:

V=(lwh)/3

To find the volume of a pyramid with a square base, you can use the formula:

Volume = (1/3) * base area * height

In this case, the base of the pyramid is a square with a side length of 10.6 inches, so the base area can be calculated as:

Base area = side length * side length

Let's calculate the base area first:

Base area = 10.6 in * 10.6 in

Next, we'll substitute the values into the volume formula:

Volume = (1/3) * (10.6 in * 10.6 in) * 12.3 in

Calculating this expression will give us the volume of the pyramid. Rounding the answer to the nearest tenth of a cubic inch will provide the final result.

Leanne sells magazine subscriptions over the telephone. She earns $14 for every subscription she sells.
How much will Leanne earn if she sells

a) 10 subscriptions?

b) 15 subscriptions?

Answers

Leanne will earn if she sells: $140 if she sells 10 subscriptions and $210 if she sells 15 subscriptions.

We are given:

Leanne earns $14 for every subscription she sells.

We need to find earnings of Leanne for the sale of 10 subscriptions and 15 subscriptions.

We will solve the given problem using the unitary method.

Since for 1 subscription Leanne sells, she earns $14.

So, for 10 subscriptions Leanne sells, she will earn $14 * 10 = $140.

So, for 15 subscriptions Leanne sells, she will earn $14 * 15 = $210.

So, for 10 subscriptions Leanne earns $140 and for 15 subscriptions Leanne earns $210.

Thus, Leanne will earn if she sells: $140 if she sells 10 subscriptions and $210 if she sells 15 subscriptions.

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Solve for x and graph the solution on the number line below.

Solve for x and graph the solution on the number line below.

Answers

The solution of the inequality is 8 ≥  x  or x > 10. The graph of the solution is attached

How to solve for x and graph the solution on the number line?

An inequality compares two values, showing if one is less than, greater than, or simply not equal to another value e.g. 5 < 6, x ≥ 2, etc.

Solving for x:

11≥ 2x - 5 or 2x - 5 > 15

Collect like terms:

11 + 5 ≥ 2x  or 2x > 15 + 5

16 ≥ 2x  or 2x > 20

8 ≥  x  or x > 10

Note:  8 ≥  x can also be written as x ≤ 8

We can combine the two as follow:

Inequality notation: 8 ≥  x > 10

The graph of the solution is attached

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Solve for x and graph the solution on the number line below.

The theater was full when the movie began. Seventy-six people left
before the movie ended. One hundred twenty-four people remained.
How many people were in the theater when it was full?

Answers

The number of people were 200 in the theater when it was full.

What is a theater?

In architecture, a theatre, usually spelled theatre, is a structure or area where a play can be conducted in front of spectators. The term comes from the Greek theatron, which means "a place of seeing." The actual performance usually takes place on a stage in a theatre.

Given that, the theater was full when the movie began.

76 people leave the theater before end the movie. At the end of the movie, there is 124 people left.

Apply algebraical operation that is addition to find the required answer.

Therefore, the number of people that was present at the beginning of the movie is (76 + 124) = 200.

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7. What kind of triangle is PQR?

7. What kind of triangle is PQR?

Answers

Answer:
That’s not a triangle.
PQR aren’t on the graph.
I’m pretty sure that’s a parallelogram.

If 3/5 of a bag of jelly beans weighs 6 3/4 ounces , how much does one bag of jelly beans weigh?

Answers

I *think* a full bag a jelly beans would be 45/4 oz or 11 1/4 oz

-3/5 of an bag weighs 6 3/4 oz, or 27/4 oz
-divide the 27 by 3 to get 1/5 of the weight, which gives you 9/4
-9/4 (5/1) (to get 5/5 of the weight) is 45/4
-45/4 is equal to 11 1/4

Hope this is right...

A school supervisor wants to determine the percentage of students that bring their lunch to school. What method would assure random selection of a sample population?

Answers

To assure the random selection of a sample population for determining the percentage of students who bring their lunch to school, a method known as simple random sampling can be employed.

Simple random sampling is a technique that provides each member of the population an equal chance of being selected for the sample. Here's an explanation of how simple random sampling can be implemented in this scenario:

Define the population: The school supervisor needs to clearly define the population of interest, which would be all the students in the school.Assign a unique identifier: Each student should have a unique identifier, such as a student ID number, to differentiate them from one another.Generate a sampling frame: A sampling frame is a list of all the unique identifiers of the students. This could be obtained from the school's records or databases.Determine the sample size: The school supervisor needs to decide on the desired sample size, ensuring it is representative of the population while being practical to manage.Use a random selection method: Employ a random selection method, such as using a random number generator or a random number table, to select the required number of unique identifiers from the sampling frame.Contact selected students: Once the sample has been selected, the chosen students can be contacted to participate in the survey or data collection regarding whether they bring their lunch to school.

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Simplify:
3(8) ° •(3)-2
A -216
B 24/9
C -27
D 1/3
(help please) :(

Simplify:3(8) (3)-2A -216B 24/9C -27D 1/3 (help please) :(

Answers

Answer:

C I think

Step-by-step explanation:

Does anyone know this answer??

Does anyone know this answer??

Answers

Approximately 99.7% of scores lie in the shaded region.

We have,

The empirical rule, also known as the 68-95-99.7 rule, provides an estimate of the percentage of scores that lie within a certain number of standard deviations from the mean in a normal distribution.

According to this rule:

Approximately 68% of scores lie within 1 standard deviation of the mean.

Approximately 95% of scores lie within 2 standard deviations of the mean.

Approximately 99.7% of scores lie within 3 standard deviations of the mean.

Now,

In the given scenario, the shaded region represents the area between -2 and 3 standard deviations from the mean on the x-axis.

This encompasses the area within 3 standard deviations of the mean.

And,

Since 99.7% of scores lie within 3 standard deviations of the mean, we can estimate that approximately 99.7% of scores lie in the shaded region.

Therefore,

Approximately 99.7% of scores lie in the shaded region.

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What is this answer plz

What is this answer plz

Answers

Answer:

3.15

Step-by-step explanation:

Divide the total of $6.30 with the 2 jars of peanut butter.

Tim and Bess are each holding two coins in each of their hands. Tim and Bess have four coins each. tim says he has 41 cents and Bess said she has 26 cents in hers. teacher says they are both right and correct. how can this be​

Answers

Answer:

Step-by-step explanation:

Tim and Bess are each holding two coins in each of their hands. Tim and Bess each have four coins. Tim says he has sixteen cents in his hands. Bess says she has twenty-six cents in her hands. The teacher says they are both correct. How can this be? Show all your mathematical thinking.

yo if someone helps me with this ill give u brainliest​

yo if someone helps me with this ill give u brainliest

Answers

Answer:

Step-by-step explanation:

a      15090

b      4255

c      dairy heifers and bulls

d      9975/15090

e      how many steers there are compared to bulls

Answer:

a) 15,090, addition

b) 4,255, subtraction

c) bulls and beef heifers for breeding

d) 5115/15,090 or 15/90

e) How many more calves are there than steers?

3930

Step-by-step explanation:

There are six pizzas there are 36 players on the team. If each member has one slice and each pizza has eight slices how much pizza in fraction form will be left over.

Answers

There will be 12 slices of pizza left over, which can be expressed as 3/2 or 1 1/2 slices in fraction form.

To find out how much pizza will be left over, we need to calculate the total number of slices available and subtract the number of slices consumed by the players.

Given that there are six pizzas and each pizza has eight slices, the total number of slices available is 6 pizzas * 8 slices/pizza = 48 slices.

Since there are 36 players on the team, and each player has one slice, the total number of slices consumed is 36 slices.

To determine the remaining slices, we subtract the consumed slices from the total available slices: 48 slices - 36 slices = 12 slices.

Therefore, there will be 12 slices of pizza left over.

To express this as a fraction, we can write it as 12/1, which simplifies to 12. This means there will be 12 whole slices of pizza left over.

If you would like to express it as a fraction in its simplest form, you can write it as 12/8. By dividing both the numerator and denominator by their greatest common divisor, which is 4, we get 3/2. So, in fraction form, there will be 3/2 or 1 1/2 slices of pizza left over.

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On a number line, point C is at 8, and the midpoint E of CD is at -3.
Point D is at
on the number line.

Answers

Answer: C

Step-by-step explanation:

Point D is at -14 on the number line.

How to determine the midpoint of a line segment?

In Mathematics, the midpoint of a line segment with two end points can be calculated by adding each end point on a line segment together and then divide by two (2).

Since E is the midpoint of line segment CD, we can logically deduce the following relationship:

Line segment CD = Line segment C + Line segment D

Midpoint E = (point C + point D)/2

By substituting the given points into the equation above, we have the following:

-3 = (8 + D)/2

-6 = 8 + D

D = -6 - 8

D = -14

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The temperature was 38 degrees Fahrenheit before a cold front came through. Ten hours later, the temperature was -12 degrees Fahrenheit. If the temperature dropped at a constant rate, find the rate of change, in degrees per hour.

Answers

Answer:

-5 degrees per hour

Step-by-step explanation:

In 10 hours, the temperature dropped -50 degrees (38 + 12, and make it negative because the temperature went down, not up).

So divide -50 by 10

-50/10 = -5

, I'm having an issue with this logarithmic equation I will upload a photo

Answers

a)

\(\begin{gathered} \log _a(1.8)= \\ =\log _a(\frac{9}{5})= \\ =\log _a(9)-\log _a(5)= \\ =\log _a(3^2)-\log _a(5)= \\ =2\log _a(3^{})-\log _a(5)= \\ \approx2\cdot0.79-1.16\approx \\ \approx0.42 \end{gathered}\)

b)

\(\begin{gathered} \log _a(\sqrt[]{5})= \\ =\log _a(5^{\frac{1}{2}})= \\ =\frac{1}{2}\log _a(5)= \\ \approx\frac{1}{2}\cdot1.16\approx0.58 \end{gathered}\)

c)

\(\begin{gathered} \log _a(15)= \\ =\log _a(3\cdot5)= \\ =\log _a(3)+\log _a(5)= \\ \approx0.79+1.16\approx1.95 \end{gathered}\)

d)

\(\begin{gathered} \log _a(45)= \\ =\log _a(9\cdot5)= \\ =\log _a(9)+\log _a(5)= \\ =\log _a(3^2)+\log _a(5)= \\ =2\log _a(3^{})+\log _a(5)= \\ \approx2\cdot0.79+1.16\approx2.74 \end{gathered}\)

e)

\(\begin{gathered} \log _a(0.6)= \\ =\log _a(\frac{3}{5})= \\ =\log _a(3)-\log _a(5)= \\ \approx0.79-1.16\approx-0.37 \end{gathered}\)

f)

\(\begin{gathered} \log _a(9)= \\ =\log _a(3^2)= \\ =2\log _a(3)= \\ \approx2\cdot0.79\approx1.58 \end{gathered}\)

Find the perimeter and area of the rectangle.
6.9 in
2.4 in

Answers

Answer:The perimeter = 18.6 , The area= 16.56

Step-by-step explanation: The perimeter is all sides added together and there are four sides and two sides are even , so there are two ways to find it. {1} 6.9x2=13.8 , 2.4x2=4.8; 13.8+4.8=18.6…{2} 6.9+6.9+2.4+2.4=18.6.

The area is two sides multiplied together so, 6.9x2.4=16.56

Solve for x in simplest form.

Solve for x in simplest form.

Answers

Answer:

\(x=-\frac{4}{5}\)

Step-by-step explanation:

\(6=\frac{3}{4}(10x+16)\\\mathrm{or,\ }6\times 4=3(10x+16)\\\\\mathrm{or,\ }24=30x+48\\\\\mathrm{or,\ }-24=30x\\\\\mathrm{\therefore}\ x=-\frac{4}{5}\)

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