If the sun is 57 degrees above the horizon, find the length of the shadow cast by a building 56 ft tall. Round your answer to the nearest tenth.

If The Sun Is 57 Degrees Above The Horizon, Find The Length Of The Shadow Cast By A Building 56 Ft Tall.

Answers

Answer 1

Answer:

Step-by-step explanation:

The Length of shadow  is 35.56 ft.

Given that,

If the sun is 68° above the horizon.

Based on the above information, the calculation is as follows:

tan68° =BC divide AC

tan68° =88 divide b

b =88 divide tan68°

=88 divide 2.475

= 35.56 ft.


Related Questions

What is -6 - t/4 = -1

Answers

Answer: t=-20

Step-by-step explanation:

A random sample of individuals at an airport were asked, "Is your flight on time or delayed?" Below are the results of the survey in a joint relative frequency table.
On time Delayed Total
Domestic 96 412
International 76
Total 147

Part A: Draw and complete the frequency table. (3 points)
Part B: What is the smallest joint frequency, and what does it represent in the context? (3 points)
Part C: Does the data show an association between the flight being on time and flying domestic? If so, is it positive or
negative? (4 points)

Answers

Answer:

A.

domestic: 316 / 96 / 412

international: 76 / 51 / 127

total: 392 / 147 / 539

B. 51 its the smallest number

C. I don't know what association means but 76.2% of domestic flights land on time and 63% of international flights land on time so id say its positive

4. Of the three elevations, -2 feet, -12 feet, and
30 feet, which represents the least number?
Which represents the farthest distance from
sea level?

Answers

On solving the provided question, we can say that - y proportional to  as the cube of s, y = ks3, then  8 = k * 23 => k = 1 then y  = 1 * 53 = 125

what is directly proportional?

If two numbers are directly proportional, then as one quantity grows by a specific percentage, so does the other quantity by the same percentage. As an illustration, as gas costs rise, the price of food may also increase. If the ratio of two values x to y never changes, then x and y are said to be directly proportional to one another. example: Let's say you spend Rs. 50 on two pens. 4 pens cost 100 rupees each. If the ratio of two numbers, x and y, is greater than 1, then the two values The value of y1 is constant.

Since y proportional to  as the cube of s, y = ks3.

8 = k * 23 => k = 1

then y  = 1 * 53 = 125

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Question 4
Solve the equation x² - 4x+6=0 by completing the square.
BIUX² X₂ 15px help!!

Answers

After completing the square, the solution of equation are,

⇒ x = (2 + √2i)

And, x = 2 - √2i

What is Quadratic equation?

An algebraic equation with the second degree of the variable is called an Quadratic equation.

We have to given that;

The equation is,

⇒ x² - 4x + 6 = 0

Completing the square as;

⇒ x² - 4x + 6 = 0

⇒ x² - 4x + 4 + 2 = 0

⇒ (x - 2)² + 2 = 0

⇒ (x - 2)² - (√2i)² = 0

⇒ (x - 2 - √2i) (x - 2 + √2i) = 0

This gives two complex solution as;

⇒ x = (2 + √2i)

And, x = 2 - √2i

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Someone please help me out

Answers

The figures for this problem are not scale drawings, as the ratios between the equivalent side lengths are different.

What is a dilation?

A dilation happens when the coordinates of the vertices of an image are multiplied by the scale factor, changing the side lengths of a figure.

Hence, when a figure is a dilation of another figure, the two figures are scale drawings.

For this problem, the ratio between the bases of the rectangles is given as follows:

12/6 = 2.

The ratio between the height of each rectangle is given as follows:

6/2 = 3.

As the ratios are different, the two figures are not scale drawings of one another.

For them to be scale drawings, it would be needed either a ratio of 2 for the heights or a ratio of 3 for the bases.

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Which is 70% of 2,000?

A.14

B.70

C.140

D.700

E.1400

Answers

Answer:

Option E) 1400

Step-by-step explanation:

Based on the given conditions, formulate: 70‰ x 2000

Convert the percentage to decimals: 0.7 x 2000

Calculate the product or quotient: 1400

Hence , the answer is 1400

The midpoint of \overline{\text{AB}} AB is M(7, -7)M(7,−7). If the coordinates of AA are (8, -6)(8,−6), what are the coordinates of BB?

Answers

Using the formula for the midpoint of the line with given points  A and B as the end points of the line, the coordinates of the point B is (6,-8).

How do you find the midpoint of a line segment?

To find the midpoint of a line segment, you must first find the coordinates of the two endpoints of the segment. Then, take the average of the x-coordinates and the y-coordinates to find the x and y coordinates of the midpoint. This can be done by adding the x-coordinates and y-coordinates of the two endpoints together and then dividing by 2.

What is the formula for finding the midpoint of a line segment?

The formula for finding the midpoint of a line segment is:

Midpoint = ( (x1+x2)/2 , (y1+y2)/2 )

Where (x1,y1) and (x2,y2) are the coordinates of the two endpoints of the line segment.

Using the given coordinates of point A(8,-6) and the midpoint M(7,-7) of the line,  and using the midpoint formula for a line AB,

Midpoint(M) = [tex](\frac{x1+x2}{2},\frac{y1+y2}{2} )[/tex]

where x1, y1 are coordinates of point A , and x2, y2 are the coordinates of point B

so , (7,-7) = [tex](\frac{8+x2}{2} , \frac{-6+y2}{2})[/tex]

equating the corresponding points,

7 =(8+x2)/2

therefore, x2 = 6

and , -7 = (-6+y2)/2

therefore , y2 = -8

Hence the coordinates of B is , (x2,y2 ) = (6,-8)

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Show that 20 subtracted by O is 20, using at least four daily life examples​

Answers

Answer:Sure! Here are four daily life examples where 20 subtracted by 0 is equal to 20:

1. You have 20 pieces of fruit in a basket, and you take 0 pieces of fruit out of the basket. You are left with 20 pieces of fruit in the basket.

2. You have 20 minutes left on your parking meter, and you add 0 more minutes to the meter. You still have 20 minutes left on the meter.

3. You have 20 dollars in your wallet, and you spend 0 dollars. You still have 20 dollars in your wallet.

4. You have 20 pages left to read in a book, and you haven't read any additional pages. You still have 20 pages left to read.

What is the domain of the function below?
A) x < 2
B) x ≤ 3
C) x ≥ 2
D) All Real Numbers

Answers

Answer:

I would say (option A)

Step-by-step explanation:

Domain is the set of x-values that can be inputted into function f(x).

We see that our x-values can be any number. Therefore, we have all real numbers as our domain:

→ A) x < 2.

Hope this helps!

The first modern Olympic games were held in Greece 1896. The 2004 Olympic games in Athens had 202 participating countries. The number of countries in the 2004 Olympic games was more than 14 times the number of countries in the 1896 games. How many countries participated in the 1896 Olympic games?​

Answers

Answer: To solve this problem, we can use the information provided to set up and solve an equation. Let x be the number of countries that participated in the 1896 Olympic games.

According to the problem, we know that the number of countries in the 2004 Olympic games was more than 14 times the number of countries in the 1896 games. So we can write the following equation:

x * 14 < 202

To solve for x, we can divide both sides of the inequality by 14:

x < 202/14

x < 14.43

x is the number of countries, it must be an integer.

so x = 14

Therefore, 14 countries participated in the 1896 Olympic games.

Step-by-step explanation:

1: What number must be multiplied by (5x + 6) to result in the expression 20x + 24?

2: On the first day of a road trip, you drive x miles.
On Day 2, you drive 10 more than twice the miles driven on Day 1.
On Day 3, you drive 100 miles less than Day 1.

Write an expression to represent the miles driven on each day of the road trip, then write a final simplified expression representing the total miles driven in three days.
a) Day 1:
b) Day 2:
c) Day 3:
d) Final simplified expression to represent total miles driven in three days:

e) Look at your expression for c) Day 3: "100 miles less than Day 1." Describe a real-word situation to explain why order matters when writing this expression.

Answers

1. The number that must be multiplied by (5x + 6) to result in the expression 20x + 24 is 4.

2. An expression representing the miles driven on each day of the road trip and a final simplified expression of the total drives in three days are as follows:

a) Day 1: x

b) Day 2: 2x + 10

c) Day 3: x - 100

d) Final simplified expression to represent total miles driven in three days: 4x + 10 - 100.

e) A real-world situation in which order matters when writing the expression x - 100 is that the value of x is supposed to be more than the value of 100.

What is a mathematical expression?

A mathematical expression is the combination of constants, numbers, mathematical operators, and variables without the equation sign (=).

Literarily, a mathematical expression is like a phrase in the English language because it does not make complete sense without the equation sign.

1) Multiplication:

(20x + 24) ÷ (5x + 6) = 4

Check:

4(5x + 6) = 20x + 24

2) Road Trip Expressions:

Day one driving distance = x miles

Day two driving distance = 2x + 10

Day three driving distance = x - 100

Total distance = x + 2x + 10 + x - 100

= 4x + 10 - 100

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Geometry need help asap

Answers

On solving the provided question, we can say that -  here in quadrilateral we have x + 146 + 47 + y = 360 => [tex]x= 83.5[/tex]

what is quadrilateral?

A quadrilateral is a four-sided polygon in geometry that has four edges and four corners. The word is a derivative of the Latin words quadri and latus (meaning "side"). Having four sides, four vertices, and four corners, a rectangle is a two-dimensional form. Concave and convex come in primarily two varieties. Additionally, there are several subclasses of convex quadrilaterals, including trapezoids, parallelograms, rectangles, rhombuses, and squares. Four straight sides make up a rectangle, which is a two-dimensional form. There are several different types of quadrilaterals, including parallelograms, trapezoids, rectangles, kites, squares, and rhombuses.

here,

x + 146 + 47 + y = 360

2x + 193 = 360

2x = 167

[tex]x= 83.5[/tex]

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19x+4 find the value of x

Answers

Answer:

x= -4/19

Step-by-step explanation:

19x+4

19x+4=0

19x= - 4

x= -4/19

Select the correct answer

Answers

The domain of the given graph is (-∞ < x < ∞)

What is the domain of a function?

The domain of a function is the set of values that we are allowed to plug into our function. This set is the x values in a function such as f(x).

Given is a graph,

For f(x) = x, there is no restriction on x

Both the domain and range are the set of all real numbers.

Hence, The domain will be (-∞ < x < ∞)

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Josephine wrote the numbers 1-100 and placed them in a bag.If she selects a number without looking what is the probability that the number is greater than 78

Answers

There are 100 total numbers in the bag, and 23 of them are greater than 78 (79, 80, 81, etc.), so the probability of selecting a number greater than 78 is 23/100, or approximately 0.23. You can also express this probability as 23%, or approximately 23%.

HELP ME PLEASE RIGHT NOW ASAP

Answers

The representation of the set builder notations are:

{y | 22.3 < y ≤ 77.5}: Set of values above 22.3 that do not exceed 77.5{w | w ∈ Z}: Set of all integers{x | x > -1}:  Set of values greater than -2{t | t ∈ Q}: Set of all rational numbers

How to determine what the set builder notations represent

From the question, we have the following parameters that can be used in our computation:

The set builder notations

Solving: set builder notation 1

This is given as

{y | 22.3 < y ≤ 77.5}

The less than (<) operator means that the smallest value of y is greater than 22.3 and the operator ≤ means that the highest is 77.5

Solving: set builder notation 2

This is given as

{w | w ∈ Z}

The notation Z means integers

This means that the set w is the set of all integers

Solving: set builder notation 3

This is given as

{x | x > -1}

The greater than (>) operator means that the smallest value of y is greater than -1

Solving: set builder notation 4

This is given as

{t | t ∈ Q}

The notation Q means rational numbers

This means that the set t is the set of all rational numbers

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Work out
1/8
+
3/4
Give your answer in its simplest form.

Answers

3/4 is equivalent to 6/8 when multiplied by 2, so 3/4 X 2 = 6/8.
1/8 + 6/8= 7/8
7 and 8 have no common factors, therefore it is in its simplest term

Swimming Pool B is also rectangular and has a perimeter of 90m. Its length is 25m. What is the width?

Answers

By using the formula for the perimeter, we will get that the width of the pool is 20 meters.

What is the width of the swimming pool?

Remember that for a rectangle of length L and width W, the perimeter is given by the formula:

P = 2*(L + W)

In this case, we know that the perimeter is 90m, and the length is 25m, then we know that:

P = 90m

L = 25m

Replacing that in the formula above we will get:

90m = 2*(25m + W)

now we can solve this for W.

90m/2 = 25m + W

45m - 25m = W

20m = W

The width of the pool is 20 meters.

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Which step is not necessary when solving this system of equations by graphing?


Identify the point of intersection.
Choose a method to graph the equations.
Determine the shaded area for each line.
Write the solution as an ordered pair.

Answers

Not necessary when solving this system of equations by graphing is

to determine the shaded area for each line. The correct option is C.

What is coordinate geometry?

A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis. A coordinate system in geometry is a method for determining the positions of the points by using one or more numbers or coordinates.

We graph both equations in the same coordinate system in order to visually solve a system of linear equations. The intersection of the two lines is where the system's answer will be found. The point where the two lines join is (-3, -4), which is where this equation system's solution lies.

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Round 0.2275 to the nearest hundredth

Answers

Answer:

0.23 is the answer

I wish you luck in your assignments.

p.
Sue uses of a pitcher of sweet tea to fill
each of 6 matching glasses. What fraction of
the pitcher does Sue use to fill 1 glass?

Answers

Answer:

P. Sue uses 1/6 of the pitcher to fill 1 glass

Step-by-step explanation:

To order tickets online to a hockey game

Answers

Answer:

I'm not quite sure what the question is here but in order to buy tickets to a hockey game, you can type the hockey team or game into the web browser and select their website then select the time and dates you'd like to see the game

Hope this helps!

Karen and Kate have 50 CDs between them. Karen has 6 less than kate. How many each has?

Answers

Answer:

19

Step-by-step explanation:

Karen and Kate have 50 CDs between them. Karen has 6 less than kate. How many each has?

25&25  

If Karen Has 6 Less Then Kate, Karen Would Have 19 CDS

Hope This Helps

answer: karen=19 kate=25

Which figures show shaded
amounts that are equivalent to 1/4

Answers

The image that shows the graph equivalent to the fraction 1/4 is option A, because only one part of the 4 available is shaded.

How to identify the correct graph?

To identify the correct graph, we must first identify which fraction we must represent. In this case, the fraction is 1 / 4. To understand this fraction, we must take into account that the top number (1) refers to the number of parts that are shaded and the bottom number (4) refers to the number of total parts. into which the figure is divided.

According to the above, we can infer that it is a figure that is divided into 4 parts, and one of them is shaded. So the correct choice would be option A.

Note: This question is incomplete because there is some information missing. Here is the complete information:

image attached

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Ryan wants to use the distributive property to rewrite the addition problem shown so that the numbers left in the parentheses have no common factor except 1. Write an equivalent expression that has numbers in parentheses whose only common factor is 1. (54 + 72)

Answers

By finding a common factor, we can rewrite the expression as:

54 + 72 = 18*(3 + 4)

How to rewrite the expression?

The distributive property says that we can write:

C*(A + B) = C*A + C*B

In this case, we want to rewrite the expression:

54 + 72

So the first thing we need to find is a common factor between these two numbers.

We can rewrite these as:

54 = 2*3*3*3

72 = 2*2*2*3*3

The maximum common factor between these two nmbers is:

2*3*3 = 18

Then we can rewrite:

54 = 18*3

72 = 18*4

Then we can rewrite the expression as:

54 + 72 = 18*3 + 18*4 = 18*(3 + 4)

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Can someone help me with this? It's urgent.

Answers

The table is filled as described , shown below.

What is  multiplication?

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

Here, we have,

Rate per hour is $11.25

Number of regular hours is 40

Payment for regular hours:

time multiply with payment=

40*$11.25 = $450

Again, we have,

Rate per overtime hour:

$11.25*1.5 = $16.875 ≈ $16.88 (rounded up)

Number of overtime hours:

48.5 - 40 = 8.5

Payment for overtime hours:

$16.88*8.5 = $143.48

Now, we get ,

Gross payment is the sum of regular and overtime payments:

$450 + $143.48 = $593.48

Hence, he would get $593.48

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h(0)=

evaluate the function please!!

Answers

h(0) = 5

Go to x = 0
Move up or down the y axis until you find a point
It’s at y = 5

Convert:
30 quarts
=
bushels
Round to the nearest hundredths.

Answers

Answer:

30 quarts= 0.8057 bushels

rounded to the nearest hundredths = 0.81

if the parent function is y=3×,which is the dunction of the graph?​

Answers

On solving the provided question, we can say  that -  the linear equations, is [tex]x =10 / 5 = 2 = > x=2[/tex]

What is a linear equation?

The algebraic equation y=mx+b is known as a linear equation. B is the y-intercept, and m is the slope. The previous sentence, where y and x are variables, is commonly referred to as a "linear equation in two variables." Bivariate linear equations are those that contain two variables in them. The linear equations 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3 are examples. When an equation has the formula y=mx+b, with m denoting the slope and b the y-intercept, it is referred to as being linear.

Here,

to solve the system of equations given. .

[tex]2x + y = 4 \\+\\3x - y = 6\\= > 5x =10[/tex]

system of equations  2x + y = 4  ,

6=3x-y is 5x =10

The value of x :

[tex]x =10 / 5 = 2\\ x=2[/tex]

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The area of the square is 25. The area of the circle is 39. What is the area of the shaded regions?

Answers

Answer:

c.

Step-by-step explanation:

First at all you need the half circle area formula:

(Pi*r2)/2 = 18Pi

After resolved this you have: r = 6, then diameter= 12

Then c) Its perimer is 40 because AB + CD + BC + AD = 40

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At visit 3, Subject 411, a subject in a clinical trial of a pacemaker with an implantable cardioverter-defibrillator (ICD) was noted to have a malfunctioning of the ICD sensing system resulting in frequent ICD discharges (shocks). Subject 411 was admitted to the hospital to have the ICD removed and replaced. The investigator should: The only word I need is INVENTIONS ( PLS HELPPPPP) We are asking everyone to focus on reducing their average transaction time by 10%. The average transaction time for this location is 6 minutes and 52 seconds."So we have to get the average transaction time down to __________."