PLEASE HELP!!! EOC REVIEW!
From his eye, which stands 1.52 meters above the ground, Wyatt measures the angle of elevation to the top of a prominent skyscraper to be 28 degrees. If he is standing at a horizontal distance of 331 meters from the base of the skyscraper, what is the height of the skyscraper? Round your answer to the nearest tenth of a meter if necessary.

Answers

Answer 1

The height of the skyscraper is 177.51 m which is 331 m from the base of skyscraper.

What is Trigonometric Ratio?

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

Here, h₀ = 1.52 m,      angle of elevation = 28⁰

         d = 331 m

Now, tan 28⁰ = h/d

         h = d. tan 28⁰

         h = 331 X 0.5317

         h = 175.99 m

Total height = h + h₀

                    = 175.99 + 1.52

                    = 177.51 m

Thus, the height of the skyscraper is 177.51 m which is 331 m from the base of skyscraper..

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Answer 2

Answer:

Step-by-step explanation:

The answer is 177.5 dont add the .1


Related Questions

does the graph below represent a function? why or why not?

Answers

Answer:

Step-by-step explanation:

The coordinate plane is also called a Cartesian Plane. Function. A function is a relationship where there is only one output for every input. In other words, for every value of x, there is only one value for y.

Does this help?

Answer:

It is NOT a function.

Step-by-step explanation:

It does not pass the vertical line test. A vertical line can touch the graph in more than one point.

To be a function, every x can have only one y value. On this graph almost every single x has two y's. For example when x is -6, the y is 2 and also 8. Not a function.

About how many students do not prefer non- fiction?

x

A. 60

B. 75

C. 100

D. 150

E. 180
Help

Answers

Answer:

B. 75%

Step-by-step explanation:

If about a quarter ( 25% ) do like non-fiction, then we know that the rest do not prefer it ( 75% )

75 + 25 = 100

My chair set was available at R11000 I can pay an 8% deposit and pay the remainder over a 4-year period charged at 6% interest p.a what would my monthly installments come to

Answers

Answer:

R 237.67  monthly

Step-by-step explanation:

Ordinary annuity  

PV = C [  1 - (1+i)^-n] / i

PV = 11000 - .08 (11000) = 10120

i= .06/12=.005       n = 4 yrs x 12months =48

Plug in the numbers and calculate 'C'  = 237.67

Mo buys a house for £120 000 He sells the house for £150 000 Work out the percentage profit that Mo makes.

Answers

Step-by-step explanation:

profit amount=150000-120000

profit amount=30000

profit %= profit amount/cost price*100

therefore profit percent=30000/120000*100

there for profit %=25%

The percentage of profit will be equal to 25%

What is the percentage?

The Percentage is defined as representing any number with respect to the 100. It is denoted by the sign %.

The profit percentage will be calculated as:-

Profit amount =  150000-120000

Profit amount  =  30000

Profit %= profit amount/cost price*100

Profit percent=30000/120000*100

Profit percentage = 25%

Therefore the percentage of profit will be equal to 25%

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A high school student named David Merrell did a study of how music affects the ability of rats to run a maze. He trained 71 rats to run a maze. Next he randomly divided the rats to three groups. Each group had 23 or 24 rats. For the next month, one group of rats listened all day to heavy metal music by the group Anthrax. One group listened all day to Mozart. One group never heard music. The rats ran the same maze three times a week for a month. The response variable is the time in seconds to complete the maze. By the end of the month he compared the average run time for each treatment group to the average run time for the control group. The Anthrax group was much slower at running the maze. The Mozart group was much faster. The differences are statistically significant at the 1% level. Run times are not heavily skewed in any group. What conclusion can we draw from these results

Answers

Step-by-step explanation:

Heavy Metal "music" impacts negatively the long term memory, if at least the ability to access it.

while harmonic music has no blocking effect or maybe even strengthens the long term memory and the ability to access it.

here 3 remarks.

first 2 scientifically from psychology : memory works mostly associative. that means brains do not store absolute information like a digital computer, but always in combination and association with other pieces of information. if there is nothing else to remember (like a more or less random pattern of sound effects for that the brain cannot find a rule or concept for), there are no associations with presented pieces of information, and the storage and access to it is much harder and restricted.

and - loud crashing and seemingly random noise triggers the panic mode in our brains. and panic is the mode favoring pure instinct and suppressing cognitive functions.

and finally, personally, it just confirms what I literally feel when listening to such music : it destroys at that moment any ability to keep a straight thought, prolonged exposure gives me the feeling that something gets broken inside my brain and thought processes.

I suspect that this is exactly the feeling that the fans of this kind of music are after (kind of like most drugs), but I am not surprised that there actually is something broken in the brain (again, as with drugs).

The volume of the cone below is 700 cm³. Calculate the height of the cone. If your answer is a decimal, give it to 1 d.p. 8 cm​

Answers

Answer:

10.4 cm

Step-by-step explanation:

Formula used :

Volume (cone) = 1/3πr²h

=============================================================

Given :

⇒ Volume = 700 cm³

⇒ Radius = 8 cm

===========================================================

Solving :

⇒ 700 = 1/3 × π × 8² × h

⇒ 700 = 64π/3 × h

⇒ h = 700 × 3 / 64π

⇒ h = 2100/64π

⇒ h = 10.4 cm (rounded to 1 decimal place)

What conclusions can be drawn about finding the quotient in scientific notation? Check all that apply. Start Fraction (9.6 times 10 Superscript negative 8 Baseline) Over (3.2 times 10 Superscript 4 Baseline) End Fraction A.The coefficient of the solution is 6.4, the difference of the original coefficients. B.The exponent of the solution is –12, the difference of the original exponents. C.The coefficient of the solution must be greater than or equal to one but less than 10. D.The quotient is 3.0 × 10-12 E.The solution is a very large number

Answers

The quotient of the expressions (9.6 x 10⁻⁸) and (3.2 x 10⁴) is 3.0 × 10⁻¹². Then the correct option is D.

What is division?

Division means the separation of something into different parts, sharing of something among different people, places, etc.

The expressions are given below.

(9.6 x 10⁻⁸) and (3.2 x 10⁴)

Then the quotient of the expressions will be

⇒ (9.6 x 10⁻⁸) / (3.2 x 10⁴)

⇒ (3 x 10⁻⁸) / (10⁴)

⇒ 3 x 10⁻⁸ x 10⁻⁴

⇒ 3 x 10⁻⁸⁻⁴

⇒ 3 x 10⁻¹²

Then the correct option is D.

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Which set of ordered pairs has point symmetry with respect to the origin (0, 0)? (5, 4), (-5, -4) (5, 4), (5, -4) (5, 4), (4, 5) (5, 4), (-5, 4)

Answers

The set of ordered pair that has point symmetry in respect to origin is (5, 4), (-5, -4).

What is the point of symmetry?

This is a term that is used to refer to the points that are on the same distance from the origin but are on opposite sides.

The line that connects the points are known to move through the origin such that when measured on the graph, the distances between these points but they are opposite because they are in negatives and positives on the two sides.

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Answer:

the answer is (5,4),(-5,4)

Step-by-step explanation:

Eric has challenged himself to walk 24,000 steps in 4 days. if eric walks the same number of steps each day, which function represents the number of steps eric still needs to walk to reach his goal with respect to the number of days since he started his challenge?

Answers

The expression that correctly shows the total of steps Eric needs to walk is y = -6,000x + 24,000.

How to write a mathematical expression?Identify the factors or variables involved.Use leters to represent unknown factors.Use +,-, etc. to show how the factors relate.

What is the best mathematical expression?x = number of daysy = steps missing24,000 = total steps6,000 = steps per day

Based on this the best expression is

y = -6,000x + 24,000

or the missing steps are equal to the number of days multiplied by the steps per day and subtracted to the total steps.

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Students are given 3 minutes to complete each multiple-choice question on a test and 8 minutes for each free-response question. There are 15 questions on the test and the students have been given 55 minutes to complete it

Answers

The value that could replace variable x in the table is (15 - m)8

How to the value of x in an expression ?

The students are given 3 minutes to complete each multiple choice question on a test and 8 minutes for each free response question.

From the table, the time to answer the whole multiple choice question is as follows:

total time = 3m

From the table, the total time taken to answer the free response question is as follows:

total time = (15 - m)8

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Answer: I believe it's C   8(15 - m)

Step-by-step explanation:

1 euro = $1.09 $1= 62 rupees Change 400 euros into rupees using these exchange rates.​

Answers

Answer:

27,032 Rupees

Step-by-step explanation:

$1.09 x 400 = $436

$436 x 62 = 27,032

(Hope this helps and that it's not wrong ^-^)

The ratio of the ages of Mandy and Sandy is 2:5. After 8 years, their ages will be in the ratio 1:2. What is the difference between their present ages?

Caitlin says the difference in their ages is 24 years. In two or more complete sentences, explain whether or not Caitlin is correct. In your explanation, include the equations and calculations necessary to support or contradict Caitlin's answer.

Answers

A ratio shows us the number of times a number contains another number. Caitlin is right.

What is a Ratio?

A ratio shows us the number of times a number contains another number.

The ratio of the ages of Mandy and Sandy is 2:5. Therefore, the ratio will be,

M/S = 2/5

M = 2S/5

After 8 years, their ages will be in the ratio 1:2, therefore,

(M+8)/(S+8) = 1/2

2M + 16 = S + 8

2M - S = -16 + 8

Substitute the value of M,

2(2S/5) - S = -8

-0.2S = -8

S = 40

Now, if we substitute the value of S in the first ratio,

M/S = 2/5

M/40 = 2/5

M = 16

Now, if we take the difference in their ages the difference will be 24(40-16).

Since the difference is 24, we can conclude that Caitlin is right.

Hence, Caitlin is right.

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The marked price of a watch is 30% above the cost price. When it is sold allowing 20% discount on it, there is a gain of Rs 150. Find the marked price and the cost price of them.​​

Answers

Answer:

Marked price: Rs. 4875

Cost price: Rs. 3750

Explanation:

(i) Cost price: 100%

(ii) Marked price: (100% + 30%) = 130%

(i) Let the cost price be p

(ii)  Marked price: 130% × p = 1.3p

Given, 20% discount then sold at 80%

Discount price: (130% × 80%) × p = 1.04p - discounted price

Gain price: 1.04p - p = 0.04p

Cost price:

0.04p = 150

p = 150/0.04 = 3750 ← This is the cost price.

Marked price:

1.3p  =  1.3(3750) = Rs. 4875

PLEASE HELP I DON'T KNOW WHAT TO DO AND I CANT MOVE ON TO THE NEXT ONE!!

Solve for x. If needed, round your answer to 1 decimal place.

Answers

The value of x in the right triangle is 21.4

How to solve for x?

To solve for x, we use the following sine function

Sin(angle) = Opposite/Hypotenuse

So, we have:

sin(31) = 11/x

Make x the subject

x = 11/sin(31)

Evaluate

x = 21.4

Hence, the value of x is 21.4

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What is one solution to the system of equations graphed here?

Answers

Answer:

(-2, 4)

Step-by-step explanation:

Hello!

There are two solutions for this system, which can be found by looking at the intersections of the two graphs.

The first intersection is at point (-2, 4), and the second one is at point (4, -3).

Since the second option is not a given option, it is the last option (-2, 4).

A cell phone tower that is 70 meters tall is built on level ground
and casts a shadow 230 meters long at a particular moment.
find the angle of elevation of the sun relative to an observer
standing at the tip of the shadow.

Answers

The angle of elevation of the sun relative to an observer standing at the tip of the shadow is 16.9°.

What is trigonometry?

The branch of mathematics sets up a relationship between the sides and the angles of the right-angle triangle is termed trigonometry.

Given that:-

A cell phone tower that is 70 meters tall is built on level ground and casts a shadow 230 meters long at a particular moment.

The angle of elevation will be calculated by applying trigonometric property in the triangle given below;-

[tex]tan\theta=\dfrac{P}{B}[/tex]

[tex]tan\theta=\dfrac{70}{230}[/tex]

[tex]\theta=tan^{-1} (\dfrac{70}{230})[/tex]

[tex]\theta[/tex] = tan[tex].^{-1}[/tex](0.3043)

[tex]\theta[/tex]  = 16.9

Therefore angle of elevation of the sun relative to an observer standing at the tip of the shadow is 16.9°.

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The lengths of two sides of a triangle are 5 inches and 8 inches. Which of the following lengths could be the length of the third side of the triangle? Select all that apply.

Answers

By using the triangular inequality, we conclude that the other side must measure more than 3 inches and less than 13 inches.

Which values could the length of the third side take?

Remember that the triangular inequality says that the sum of any two sides on a triangle is larger than the other side of the triangle.

If we define the missing side of the triangle as x, then we must have:

5 + x > 8

8 + x > 5

8 + 5 > x

From the third inequality we get the upper bound:

13 > x.

From the first inequality we get the lower bound:

x > 8 - 5 = 3

Then:

3 < x < 13

This means that the other side of the triangle must measure more than 3 inches and less than 13 inches.

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PLEASE HELPPPPPP

lisa, an experienced shipping clerk, can fill a certain order in 2 hours. bill, a new clerk, needs 3 hours to do the same job. working together, how long will it take them to fill the order?

the solution is __ hours.
(simply your answer. type an integer or a fraction)

Answers

Answer:

Lola ko na tagpuan na rin kita

Answer:

2/3 = 0.6 (line on top of the 6 not bottom)

the solution is 2/3 hours.

Step-by-step explanation:

"An experienced shipping clerk, Lisa can fill a particular order in 2 hours. bill, a new clerk, needs 3 hours to do the same job. working together,"

Please Help I Don't Understand!

Answers

The answer to your question is 6, for the reason being that all the sides from abc are being multipled to make the new shape xyz making them similar by multiplying by 2

Can Someone Please Help Me With This, Thanks! :)

On Monday a builder built 5/9 of a wall. On Tuesday he added the last 180 bricks to finish the wall. How many bricks are there in the wall?

Answers

Answer:

405

Step-by-step explanation:

So he built 5/9 of the wall, than added the extra 180 bricks to finish the wall.

so 5/9 + 180 = 9/9

so 180 = 4/9 Because 5/9 + 4/9 = 9/9

So to figure out how many bricks are in the wall we want to know what 1/9 of bricks equals and to work this out we need to divide 180 by 4

which equals 45.

Now we know that 1/9 = 45

so now to figure out what 9/9 is just multiply 45 by 9 which equals 405

Answer:

405 bricks in total

Step-by-step explanation:

1 - 5/9 = 4/9

So 4/9 of the bricks are remaining, and "the last 180 bricks" is equal to 4/9

Using ratio method:

4/9 : 180

5/9 : x

x = 180 × 5/9 ÷ 4/9

x = 225

So 180 + 225 = 405 bricks in total


The radius of a circle is 13 ft. Find its area in terms of pi.

Answers

Answer:

The area of the circle would be 530.93 sq ft.

Step-by-step explanation:

The formula is A = π r². We know that the radius or r is 13, meaning that the new equation is A = π 13². 13 to the second power is 169 meaning that the formula would now be A = π(169). 169 times π is 590.93 getting you your answer. I hope this helped! :)

A=169pi

A=pi radius squared
A=(13x13)pi
A=169pi
The question asked to answer in the terms of pi, so you leave pi in the answer, don’t multiply it.

In the triangle below, what is the measure of B?

A. 18°
B. 56°
C. 90°
D. 28°

Answers

The measure of the angle B from the isosceles triangle is equal to 28°. (Correct choice: D)

What is the measure of the missing angle?

In this problem we have the case of an isosceles triangle, that is, a triangle with two sides of equal length and two angles of same measure. By properties from isosceles triangles, we know that the measures of sides AC and BC are the same and angles B and C are the same.

Then, if we know that AC = AB = 10 and m ∠C = 28°, then the measure of the angle B is equal to 28°.

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(Refer to the attached image)​

Answers

Answer: 45 meters

Explanation:

[tex]\sf Sine \ Rue : \ \dfrac{\sin A}{a}=\dfrac{\sin B}{b}=\dfrac{\sin C}{c}[/tex]

Given following:

A = 56°B = 77°a = 38 mb = ? m

Solve for b (distance between school and mall):

[tex]\dashrightarrow \sf \dfrac{\sin 56}{38} = \dfrac{\sin 77}{b}[/tex]

[tex]\dashrightarrow \sf b= \dfrac{38\sin 77}{\sin 56}[/tex]

[tex]\dashrightarrow \sf b= 44.6615 \quad \approx \quad 45[/tex]

Find the m < A ? A.80 B.145 C.105 D.70

Answers

Answer:

D

Step-by-step explanation:

∠ A is the angle opposite side a

the sum of the 3 angles in the triangle = 180° , that is

∠ A + 75° + 35° = 180°

∠ A + 110° = 180° ( subtract 110° from both sides )

∠ A = 70°

When a trained dog learns to sit when you blow a whistle once and to lie down when you blow the whistle twice, the dog is showing: Question 24 options: Social Learning Stimulus Generalization Problem Solving Skills Stimulus discrimniation

Answers

Answer:

Probably Stimulus discrimination.

Step-by-step explanation:


The ratio of adults to children at a party is 3:5
What fraction of the party are adults?
There are 72 people at the party.
Work out the number of children at the party.

Answers

✭ Question -:

The ratio of adults to children at a party is 3:5. There are 72 people at the party. Find out number of children.

✭ Explanation -:

In this question we are provided with the ratio of adult and children 3 : 5 respectively. It is given that 72 people are there at the party. We are asked to calculate number of children.

We are asked to calculate number of children

Let us assume number of adults and children as 3x and 5x

It is given that total number of people are 72.

According To Question

3x + 5x = 72

→ 8x = 72

→ x = 72/8 = 9

x = 9

Adults = 3x = 3 × 9 = 27 people

Children = 5x = 5 × 9 = 45 people

Hence, there are 45 children in the party.

Evaluate (cant write it out, picture included)

Answers

Let's solve this problem step-by-step:

  ⇒ with our knowledge of PEMDAS

     ⇒ (look at the image attached)

Let's solve:

Let's first plug n's value

              [tex]\frac{9}n}+4 = > \frac{9}{-3}+4[/tex]

Let's first do the division

              [tex]\frac{9}{-3}+4=-3+4[/tex]

Now let's add

             [tex]-3+4=1[/tex]

Answer: 1

Hope that helps!

what is x?
please help

Answers

Answer:  the answer is x =4

Step-by-step explanation:  

Answer:

35     I did this before

Step-by-step explanation:


What percentage of 2 hours is 12 minutes?

Answers

Answer:

10%

Step-by-step explanation:

1. Convert 2 hours to minutes

            2(60) = 120 min.

2.Calculate the percentage

[tex](\frac{12}{120} )(100)=10[/tex]

12 minutes is 10% of 2 hours

Hope this helps

what’s the surface area Due by tomorrow!!!

Answers

Answer: The surface area = 2040.

Step-by-step explanation: Have a great day!

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