A tower that is 103 feet tall casts a shadow 117 feet long. Find the angle of elevation of the sun to the
nearest degree

Answers

Answer 1

Answer:

[tex]\theta=61.68^{\circ}[/tex]

Step-by-step explanation:

Given that,

The height of a tower, h = 103 feet

The height of its shadow, H = 117 feet

The height of tower is perpendicular and the height of shadow is hypotenuse of a right angled triangle. We can use trigonometry such that,

[tex]\sin\theta=\dfrac{h}{H}\\\\\theta=\sin^{-1}(\dfrac{103}{117})\\\\\theta=61.68^{\circ}[/tex]

So, the angle of elevation of the sun is equal to [tex]61.68^{\circ}[/tex].


Related Questions

c) Mr. Gurung had Rs 3300. He purchased 5 kg of rice at Rs 70 per kg, 2 packets of oil at Rs 125 per packet and he gave Rs 2500 to his wife. If he divided the remaining sum between his son and daughter equally, find the share of each of them. ​

Answers

Answer:

Intial money=Rs 3300

final money=3300-(70×5)-(2×125)-2500

=3300-350-250-2500

=3300-3100=RS 200

Now,

share of each of them= 200/2=Rs100

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Is √12•√ 12 rational or Irrational?

Answers

Answer:

It is a rational number

Step-by-step explanation:

[tex]\sqrt{12} *\sqrt{12} =12[/tex]

[tex]\sqrt{12}[/tex] by itself is 3.46410 making it irrational

4. Xin is getting an estimate from a printer for fliers for the drama club. Xin

orders color prints and negotiates a 10% discount on the print job for

the drama club. If f represents the number of fliers Xin orders, does

0. 10(17. 50 +0. 20f) represent the total cost of the print job? Why or why not?

Setup

Black & white print

Color print

$17. 50

$0. 09 each

$0. 20 each

Answers

yes, this 10(17. 50 +0. 20f) represent the total cost of the print job. This can be solved by using the concept of expression.

What is an expression?

A mathematical expression is a phrase that has a minimum of two numbers or variables and at least one mathematical operation. Any one of the following mathematical operations can be used i.e. addition, subtraction, multiplication, or division.

There are three different expression types:

There is just one arithmetic value that an arithmetic expression may produce.A character expression evaluates to just one character value.One logical value is produced by the evaluation of a logical or relational statement.

Given that,

10% discount on the print job

thus, 10% = 0.10.

Therefore, once he pays the $17.80 setup fee and then 0.20f (or $0.20 per flyer), then we would multiply by 10% (Or 0.10).

so, we get: 0.10 × (17.50 + 0.20f)

Yes,  0.10 × ( 17.50 + 0.20f ) does represent the total cost of the print job.

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Find the volume of the pyramid.
7 m
12 m
The volume is
16 m
cubic meters.

Answers

The value of volume of pyramids is 448 cubic meter.

How to calculate volume of pyramid?

A triangular pyramid's volume can be calculated using the formula Volume= 1/3 Base area Height. The side, height, and slant height of a triangular pyramid are the three parameters needed to calculate its surface area.

The basic formula for volume is length, breadth, and height, as opposed to length, width, and height for the area of a rectangular shape. The calculation is unaffected by how you refer to the various dimensions; for instance, you can use "depth" instead of "height."

Given,

Length=12m

Width=7m

height=16m

volume =l * w * h / 3

= 12*7*16/3

= 448 cubic meter

Therefore volume of pyramid is 448 cubic meter .

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Place from least to greatest:
0.66, 0.654, 0.7, 0.64

Answers

Least to greatest: 0.64, 0.654, 0.66, 0.7

Answer:

1. 0.64

2. 0.654

3. 0.66

4. 0.7

A bag contains:
1 red beads
2 yellow beads
2 green beads
1 blue bead

A bead is chosen at random.

What is the probability that it is green?

What is the probability that it is green or yellow?

Pls pls help!
I'll give you brainliest answer!
Thx!​

Answers

The probability to draw a green bead is 1/3 and the probability to draw a green or yellow bead is 2/3

It is given that the bag contains 1 red bead, 2 yellow beads, 2 green beads, and 1 blue bead.

Hence the total no. of beads in the bag = no. of red + yellow + green + blue beads

= 1 + 2 + 2 + 1 beads

= 6 beads.

Let the event to draw a green bead be A

Let the event to draw a yellow bead be B

Probability of any event = no. of outcomes favorable to that event/ total number of outcomes

Hence P(A) = no. of green beads/ total no. of beads

= 2/6

= 1/3

Hence the probability that a green bead is drawn is 1/3

P(B) = no. of yellow beads/ total no. of beads

2/6 = 1/3

We need to find P(A or B)

= P(A U B) = P(A) + P(B) - P(A ∩ B)

P(A ∩ B) = P(A and B)

Since no bead is of 2 colors, P(A ∩ B) = 0

Hence we get

P(A U B) = 1/3 + 1/3

= 2/3

Hence the probability to draw a green or yellow bead is 2/3

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An amusement park has a two merry-go-rounds. The first merry-go-round has a circular platform with a diameter of 13 meters. The second merry-go-round has a circular platform with a diameter of 19 meters. What is the difference between the areas of the larger and smaller merry-go-round’s platform?

Answers

Answer:

150.72

Step-by-step explanation:

Area of circle formula is r²π

Do find radius you do d/2, diameter/2. 13/2= 6.5

6.5 * 6.5 = 42.25

π  is also known as 3.14

42.25 * 3.14 = 132.665

That is the area of the smaller one.

For the larger one, 19/2 = 9.5

9.5 * 9.5 = 90.25

90.25 * 3.14= 283.385

Now you subtract both of them and the difference is 150.72.

Hope this helps !!

-Ketifa

Answer

150.72 m2

Step-by-step explanation:

Find the radius of the larger

merry-go-round.

19^2 = 9.5

Substitute 9.5 for r in the formula for the

area of a circle.

A-n • 9.52

= 71 -90.25

- 283.385

Find the radius of the smaller

merry-go-round.

13-^-2-6.5

Substitute 6.5 for r in the formula for the

area of a circle.

A~n • 6.52

= n - 42.25

-132.665

Subtract the area of the smaller merry go-round from the area of the larger

merry-go-round.

283.385 - 132.665 = 150.72

plz help 20 points math​

Answers

Answer: -4/-6

Step-by-step explanation:

a fish tank is in the shape of an open glass cuboid 30cm deep with a base 16cm by 17cm, these measurements being external. if the glass is 0.5cm thick and its mass is 3g/cm cube. find the capacity of the tank in litres​

Answers

The capacity of the tank in open glass cuboid is determined as 7.2 Liters.

Capacity of the  tank

The capacity of the tank is calculated as follows;

Volume = base area x height

Base area = Length x Width

Base area = [17 cm - 2(0.5cm)] x [16 cm - 2(0.5cm)]

Base area = 16 cm x 15 cm

Base area = 240 cm²

Volume = 240 cm²  x  30 cm

Volume = 7,200 cm³

Volume = 7.2 Liters

Thus, the capacity of the tank in open glass cuboid is determined as 7.2 Liters.

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What is the name of the point where the two axes cross?

Answers

As per the concept of graph, the name of the point where the two axes cross is origin.

Graph in math is defined as a diagram showing the relation between variable quantities, typically of two variables, each measured along one of a pair of axes at right angles.

Here we have to identify the name of the point where the two axes cross.

As we all know that the horizontal axis in the coordinate plane is called the x-axis and the vertical axis is called the y-axis.

Here we have also know that the point at which the two axes intersect is called the origin.

Where the origin is at 0 on the x-axis and 0 on the y-axis.

And these intersecting x- and y-axes divide the coordinate plane into four sections

Finally all these four sections are called quadrants.

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18=0. 125. Which calculation is NOT a way to find 58?

CLEAR CHECK


A. 5÷8


B. 5⋅0. 125


C. 0. 5+0. 125


D. 1−0. 125

Answers

The correct option is D. 1 − 0. 125 is NOT  the correct way to find the value of fraction 5/8.

Explain the term fraction?a numerical expression in which the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator as well as denominator of a complex fraction. The numerator of a proper fraction is less than every denominator.

Consider the given options;

A. 5÷8

5÷8 = 5/8 (correct)

B. 5⋅0. 125

5*0.125 = 0.625

5*0.125 = 5/8 (correct)

C. 0. 5+0. 125

5+0. 125 = 0.625

5+0. 125 = 5/8 (correct)

D. 1−0. 125

1−0. 125 = 0.785

1−0. 125 = 7/8 (not correct)

Thus, option D is not the correct way to solve the equation.

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The correct question is attached.

26. Six oranges in a bag of 30 oranges are bad. Express the number of bad oranges as a fraction in its lowest terms. ​

Answers

Answer:

The fraction representing the number of bad oranges can be written as 6/30. This fraction can be simplified by dividing both the numerator and the denominator by 2, which gives us 3/15. This fraction is already in its lowest terms, so 3/15 is the final answer.

Step-by-step explanation:

1/5 is the answer in lowest terms.

To find a fraction in lowest terms you must find a number that both the numerator and denominator are divisible by. In this case the lowest number is 6.

Please mark brainliest I need three more!!!!!!!

LIVE
A gym charges a one-time fee of $60 to join and membership dues of $25 per month.
Part A
Complete the table to show how the total cost in dollars, C, and the number of months, m, of gym
membership are related. Drag numbers to complete the table. Numbers may be used once or not at all.
200
865
410
205
135
75
505
260
m
3
8
14
с
OLIVE
Part B
Which equation represents the total cost based on the number of months of gym membership?
o
A C = 25m
O
B. C = 60 + 25m
C. C = 60m + 25
O D. C = 25m - 60

Answers

Answer:

I uploaded the answer to^{}

a file hosting. Here's link:" i don't believe them but try to see it

Answer:

SS

Step-by-step explanation:

Ju

What is the volume of the rectangular prism?

Answers

^answer:^

~10 cubic feet~

^step by step explanation:^

first, calculate the volume of the front “panel” of the shape. (5 cubic centimeters because 5 times 3 is 15 and 15 times 1/3 is 5. 5 times 2 is 10.


simpelest form of the ratio 2 weeks to 30 days

Answers

Answer:

7:15 ,2 weeks=14 days and 30 days divide by 2 = 7 and 15 put them to a ratio and you'll get 7:15.

A box of 6 donuts has 3 plain donuts, 2 chocolate donuts, and 1 blueberry donut. Assume the plain donuts are identical, and the chocolate donuts are identical. How many visually distinct arrangements of the donuts are there?

Answers

If a  box of 6 donuts has 3 plain donuts, 2 chocolate donuts, and 1 blueberry donut. The number of  visually distinct arrangements of the donuts that are there is: 60.

How to find the  number of  visually distinct arrangements?

Using this formula to find the  number of  visually distinct arrangements of the donut that are there.

Number  visually distinct arrangements = Box of  donuts!/ Plain donuts! × Chocolate donuts! × Blueberry donut!

Let plug in the formula

Number  visually distinct arrangements = 6!/ 3! × 2! × 1!

Number  visually distinct arrangements = 720/ 6 ×2 × 1

Number  visually distinct arrangements = 720 /12

Number  visually distinct arrangements = 60

Therefore the number of Number  visually distinct arrangements  is 12.

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Where is graph increasing and decreasing?

Answers

The graph is increasing when the graph has positive slope and the graph is decreasing when the graph have a negative slope .

What is Slope ?

The slope of any line can be calculated by using any two distinct points on the line. The slope of a line formula calculates the ratio of the vertical change to horizontal change between two distinct points of the line.

that means , let the two points on the line be [tex](a,b)[/tex] , [tex](c,d)[/tex] . So , the slope will be calculated as : Slope(m) = [tex]\frac{d-b}{c-a}[/tex] .

(i) When the slope of the graph is positive , it indicates that the graph rises when moving from left to right , Hence , the graph is increasing .

(ii) When the slope of the graph is negative , it indicates that the graph falls when moving from left to right , Hence , the graph is decreasing .

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Write the following using index notation:

2 x 2 x 2

b) 3x3

3 x 3

c)

6 x 6 x 6 x 8 x 8 x 8

d)

3 * 4 * 3 x 4 * 3

Answers

Index notations are as follows:

a) 2³

b) 3²

c) 6³ * 8³

d) 3³ * 4²

What are Exponents?

A number's exponent demonstrates how many times we are multiplying a given number by itself. 3^4, for instance, indicates that we are multiplying 3 by four. 3*3*3*3 is its expanded form. The power of a number is another name for an exponent. A whole number, fraction, negative number, or decimal are all acceptable.

Let's break down the given index notation one by one:

a) 2 is taken 3 times = 2³

Similarly,

b) 3²

c) 6³ * 8³

d) 3³ * 4²

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How many types of angle are there in class 6?

Answers

In class 6, students typically learn about acute angles, right angles, and obtuse angles as the main types of angles. So there are three types of angles.

Acute angles, Right angles, and Obtuse angles are the basic types of angles and they are based on the degree measure. Acute angles are less than 90 degrees, right angles are exactly 90 degrees and obtuse angles are greater than 90 degrees but less than 180 degrees.

It's worth noting that the classification of angles in class 6 may vary depending on the curriculum and the country you are in. This is a general description and your school or teacher may have different classification or criteria.

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Pablo poured about 10 ? of medicine onto a spoon.

A) millimeters

B)liters

Answers

Answer:

A

Step-by-step explanation:

10 liters won't fit on a spoon

By choosing an appropriate line, use the
diagram to estimate the solutions to these
simultaneous equations:
2
y = -x +1.5
y = 1.5x2.5

Answers

So on solving the provided question, here  we can say that by is a simultaneous equations the value of x = - 3/5 and y = 9/10

What is the simultaneous equation formula?

Multiple algebraic equations that have the same unknowna as the give in the  variables and the same answer are referred to as simultaneous equations. This suggests that there is a single solution to the simultaneous equations. Examples of simultaneous equations include: 2x - 4y = 4, 5x + 8y = 3, and others. This implies that the simultaneous equations have a single solution. The simultaneous equations 2x - 4y = 4, 5x + 8y = 3, and others are examples.

y = -x + 1.5

y = 1.5x + 2.5

x = -3/5

y = 9/10

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HELP!!! there are 20 students in Mr. Miller's algebra class. 14 of the students are females. If Mr. miller selects a student at random, what is the probability that he will select a male.

Answers

Answer:

6/20, 0.3, 30%

Step-by-step explanation:

If there are 14 females then there are 6 males

6 divided by 20 is 0.3 or 30%

Answer:

30%

Step-by-step explanation:

-(4-7)
How do you do this?

I got -4+7
(Is that right)​

Answers

a double negative will result in a positive so
-(4-7)
= -4+7
=3
The mathematical expression you provided -4 + 7 is correct.
The result of the operation is 3.
You are adding 7 to -4, so you would start with -4 and count up 7 steps which gives you 3 as a result.
In mathematical notation, the plus sign (+) indicates addition and the minus sign (-) indicate subtraction. In this case you have -4+7 so it's -4 plus 7.

If 70% of the members remembered the password but 21 members forgot, then how many members were there in all?
Please show work if you can
Thxs

Answers

Answer:

70 members

Step-by-step explanation:

Let's call the number of total members x. We know that 30% or  [tex]\frac{3}{10}[/tex] of the members forgot, so our equation looks like this:

[tex]\frac{3}{10}x = 21[/tex]

Then, we will multiply both sides by 10 to get rid of the fraction:

3x = 210

Finally, we will divide both sides by 3 to find out our variable, x:

x = 70

So, there are 70 members in total.

Hope this helped!

Pythagorean theorem and its converse
problem 3:

leg:16

leg:x

hypo:27

problem 4:

leg:12.8

leg:5.3

hypo:x

problem 5

18 <--------->

`20

x'

Answers

The missing measures, using the Pythagorean Theorem, are given as follows:

3. Leg x = 21.75.

4. Hypotenuse x = 13.85.

What is the Pythagorean Theorem?

The Pythagorean Theorem states that length of the hypotenuse squared is equals to the sum of each of the sides of the triangle squared.

For item 3, we have that the leg x is missing, while another leg and the hypotenuse are given, meaning that the relation is of:

x² + 16² = 27²

Hence:

x² = 27² - 16²

[tex]x = \sqrt{27^2 - 16^2}[/tex]

x = 21.75.

For item 4, we are given two legs and want to find the hypotenuse, hence the relation is given as follows:

x² = 12.8² + 5.3²

[tex]x = \sqrt{12.8^2 + 5.3^2}[/tex]

x = 13.85.

As for item 5, there is not enough information to answer, but the procedure should be the same.

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Me pueden ayudar? :)

Answers

.Answer:

Step-by-step explanation:

A cone has a diameter of 8 units and a helght of 8 units. Its radius is____ its volume is ____ A cylinder with the same height and radius as the cone will have a volume of _____ cubic units. If a sphere has the same radius as the cylinder, Its volume is ____ the volume of the cylinder​

Answers

Answer:

A cone has a diameter of 8 units and a height of 8 units. Its radius is 4units its volume is 134.04 cubic units. A cylinder with the same height and radius as the cone will have a volume of 402.12 cubic units. If a sphere has the same radius as the cylinder, Its volume is less than the volume of the cylinder​.

radius = diameter / 2 = 8/2 =4units

[tex]volume \ of \ cone = \pi r^2 \frac{h}{3}[/tex]    =134.04cubic units

[tex]volume \ of \ cylinder = \pi r^2h[/tex]  = 402.12 cubic units

[tex]volume \ of \ sphere = \frac{4}{3}\pi r^3[/tex] = 268.08 cubic units

How does Earth's rotation cause day and night ?

Answers

Earth's rotation is what causes day and night. As Earth rotates on its axis, half of the planet is facing the Sun, while the other half is facing away from the Sun.

The half of the planet facing the Sun experiences daylight, while the half facing away from the Sun experiences darkness. This cycle repeats itself every 24 hours, resulting in the day and night cycle that we experience.

Earth's rotation causes day and night by rotating on its axis, with half of the planet facing the Sun and the other half facing away from the Sun. This cycle of daylight and darkness lasts for  creating the day and night cycle that we observe.Earth's rotation is what causes day and night. As Earth rotates on its axis, half of the planet is facing the Sun, while the other half is facing away from the Sun.

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describe the relationship between the two quantities in the graph.

Answers

As time goes by the population increases

What are the 14 types of angles?

Answers

Fourteen types of angles are Acute Angles, Obtuse Angles, Right Angles, Straight Angles, Reflex Angles, Positive Angles, Negative Angles, Complementary angles, Supplementary angles, Linear Pair, Adjacent angles, Vertically Opposite angles,  Alternate interior angles and Alternate exterior angles.

There are mainly 5 types of angles based on their magnitude. They are Acute Angles, Obtuse Angles, Right Angles, Straight Angles and Reflex Angles.

Positive Angles and Negative Angles are the angles based on the direction of measurement or the direction of rotation.

When two angles are paired, then there exist different angles, such as Complementary angles, Supplementary angles, Linear Pair, Adjacent angles, Vertically Opposite angles,  Alternate interior angles and Alternate exterior angles.

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What best describes the enthalpy of formation of a substance?A. The energy needed to cause the substance to change phasesB. The energy change that happens when a substance forms from itselementsC. The energy absorbed or released in a chemical reactionD. The total thermal energy of all the molecules in the substance!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!The answer is D!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! 236 divided by 44 pls HELP PLEASE NO LINKS!!!!!!!!6. Which of the following equations does the model below represent? ASAP NEED HELP THX !! Look at picture Half equations for oxidation of HCL Which of these statements about California is true? *A.Its missions were taken over by Native Americans.B. President Polk saw it as part of Manifest Destiny.C.Mexico sold it to the United States to prevent war.D.It voted against becoming a republic.please help asap! Plot 9, 2, and -4 on the number line PLS HELP BEEN ON THIS QUESTION FOR 3 HOURS when people learn about others positions withotu making a prior ocmmitment and without discussing their own pposition Jill and beth are sisters. Jill is 1/3 of beth's age. Let b represent beth's age.Write an algebraic expression to show jill's age. How many nucleotides areinvolved in a point mutation?? I really need help with this answer pls help fast Use the graph of the equation to answer the question.What is the domain of the equation?What is the range of the equation? What are the 7 types of characterization? helpppp plzzzzz Write an informative essay that explains the qualities of a hero and how to recognize heroes in your life. Dawson says that the expression (2 4/10+ 8 4/5)-3 1/5 is equal to a whole num do you agree explain hurry Cheese costs $1.80 per pound. Samira bought some cheese. She paid with a 5 dollar bill and got $1.40 in change. How many pounds of cheese did she buy? Need some help with this reading assignment.Where applicable, use either the semicolon, comma, or quotation marks to punctuate the following sentences:1. Because we were late the teacher cancelled the exam.2. The teacher cancelled the exam because we were late. 3. I will help you with your assignments but you will have to pay me to complete them. 4. Completing my exams creates an opportunity for me to have some fun.5. My teacher was right the test was fairly easy.6. I was very excited about going on the ride however it turned out to be a very boring ride. 7. I will always be there she whispered right there beside you. 8. Timothy Wilson the basketball coach is no longer coaching the team. Experts and above ONLYTo answer this u have to be expert, ace or genius level25 PTS PLEASE HELP QUICK(not related to the question but please add thx i want friends)OK THX THE QUESTION IS BELOW 60 POINTS DO NOT CHOOSE THE REQUIRED SCHOOL UNIFORMS PLSSIn this speech writing assignment, you will research a problem, devise a solution, and persuade people to join your cause. Your purpose is to persuade your class and community to change their actions and beliefs about the problem youve identified. You will choose one of the following topics to write about:vending machines in the school cafeteriarequired school uniformsthe use of technology in school, such as e-readers, phone apps, MP3 players.free extracurricular school activities, such as running clubs, game clubs, etc.After you have chosen your topic, choose a clear position either in support of or against your topic.Write a 500-word speech in support of your position on your chosen topic. Make sure that you are using at least ONE of the persuasive techniques (logos, pathos, ethos). Remember that your position should be based on facts, not opinions. If possible, deliver your speech to your classroom, teacher, or parents to practice the public speaking strategies outlined above.Click here to view the rubric for this project. If the radius of a sphere is doubled, by how many times has its volume been increased