Find the missing side length.
Assume that all intersecting sides meet at right angles.
Be sure to include the correct unit in your answer.
?
10 cm
6 cm
11 cm
5 cm
14 cm

The angle of elevation made from the eyes of the observer to the top of the tower is 45°.

The angle of elevation is the angle formed by the horizontal line of sight and the upward line of sight.

For the given question;

The angle of elevation of the top of the tower to the eyes of the observer is needed.

Thus, for this subtract the height of the observer to the height of tower;

height from the eyes to the tower is 22 - 1.5 = 20.5 m.

Thus, apply the trigonometric rule to calculate the angle;

tan Ф = perpendicular/base

perpendicular is the height of tower from the eyes of boy = 20.5 meter.

base is the distance of the tower from the boy = 20.5 meter.

Put the values;

tan Ф = 20.5/20.5

tan Ф = 1

Ф = 45°.

Thus, the angle of elevation made by the eyes of the observer to the top of the tower is  45°.

To know more about angle of elevation, here

https://brainly.com/question/88158

#SPJ9

The complete question is -

An observer 1.5 metres tall is 20.5 metres away from a tower 22 metres high. Determine the angle of elevation of the top of the tower from the eye of the observer.

A division is a process of splitting a specific amount into equal parts. If a radio station requires DJ’s to play 3 commercials for every 15 songs they play. Then 5 is the unit rate of songs to commercials

A division is a process of splitting a specific amount into equal parts.

A radio station requires DJ’s to play 3 commercials for every 15 songs they play.We use division because it is a process of splitting a specific amount into equal parts.

By the given data formulate

15 divided 3

15/3

=5

We get the result 5.

Therefore the unit rate of songs to commercials is 5.

To learn more on Division click:https://brainly.com/question/25502096

#SPJ1

The written ratio of 5 flamingos to 3 pineapples is 5 : 3.

Ratio is used to compare the relative value of two or more numbers. Ratio determines how many times one value is contained in another value. Ratio is used to determine how big or how small a quantity is relative to other quantities. The sign used to represent ratio is :.

This question states that for every 5 flamingos, there are 3 pineapples. This means the number of flamingos is 5/3 more than the number of pineapples.

To express the question as a ratio, this format would be used -

Number of flamingos : number of pineapples

5 : 3

To learn more about ratios, please check: https://brainly.com/question/25927869

#SPJ1

Even though scientists can't directly observe what is happening on Mars, they can send satellites to orbit Mars which can document the various aspects of Mars and its geography.

Thanks to massive strides in space technology, humans have been able to study Mars all the way from Earth without having to observe the planet directly.

The main way they can do this is by positioning satellites around Mars which will orbit the planet. These satellites will record and observe things such as the composition of the atmosphere of Mars and how its terrain works.

In conclusion, scientists can use satellites to observe Mars.

Find out more on observing Mars at https://brainly.com/question/18393048

#SPJ1

Answer:

100$

Step-by-step explanation:

5x20=100

Answer:

y = -4x - 1

Step-by-step explanation:

Let's first find the equation of the line segment AB. The equation of a line in slope-intercept form is y = mx + b where m represents the slope and b represents the y-intercept. Start by finding the slope.

The equation for slope is:  [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]. These variables represent any pair of coordinates on the line. In this case since the two points chosen are A and B, thus:

[tex]x_2=-2\\x_1=3\\y_2=15\\y_1=-5[/tex]

If we plug these values into the equation, we get:

[tex]\frac{15-(-5)}{-2-3}=\frac{20}{-5}=-4[/tex]

Now we need to find the equation of a line that passes through the point (-1, 3) and is parallel to AB. If two lines are parallel they share the same slope. The equation of the line parallel to AB is y = -4x + b. We can plug in the coordinate (-1, 3) into the equation to solve for b.

[tex]y = mx+b\\3 = -4(-1) +b\\3=4+b\\\text{Subtract 4 from both sides}\\b=-1[/tex]

Therefore the equation of the line that passes through the point (-1, 3) and is parallel to AB is y = -4x - 1.

a) The graph will have a "V" shape, which opens upwards.

b) The horizontal shift of 1 unit to the left.

c) The vertical shift is of 5 units downwards.

Here we have the absolute value function:

f(x) = |x + 1| - 5

First we want to describe the graph shape, we know that it is an absolute value function, so it will have a "V" shape.

The arms will make an angle of 45° with the vertical and horizontal (because the slope is 1)

And it will open upwards, because the slope is positive.

Now, remember that if the parent function is:

f(x).

A translation is written as:

g(x) = f(x + a) + b

Where a is the horizontal translation and b is the vertical translation, such that:

In this case we have:

f(x) = |x + 1| - 5

So this is a translation of 1 unit to the left and 5 units down of the parent absolute value function.

b) The horizontal shift of 1 unit to the left.

c) The vertical shift is of 5 units downwards.

If you want to learn more about absolute value functions:

https://brainly.com/question/3381225

#SPJ1

Slope-intercept form looks like this: [tex]y=mx+b[/tex]

We're given:

Plug the given values into y=mx+b:

[tex]y=0x-5\\y=-5[/tex]

[tex]y=-5[/tex]

The velocity at t = 0 will be 4 meters per second.

A function is defined as the expression that set up the relationship between the dependent variable and independent variable.

A function in mathematics from a set X to a set Y assigns exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively.

Given function is s(t) = √ ( t + 16 ).

The value of the function is calculated as below:-

s ( t ) = √ ( t + 16 ).

s( 0 ) = √ ( 0 + 16 ).

s( 0 ) = √ ( 16 ).

s( 0 ) = 4

Therefore, the velocity at t = 0 will be 4 meters per second.

To know more about functions follow

https://brainly.com/question/25638609

#SPJ1

Answer:

Step-by-step explanation:

to find this answer you have to know how to make a percent of something to a normal value so to make 91% to a decimal value you divide by 100. That is 0.91. Then you multipy 0.91 x 80=72.8

He got 72 questions right

4 cuboids of dimensions 15, 30, and 15 cm will be needed to form a cube

The volume of the cuboid is l×b×h where l is length, b is breath and h is the height

The volume of given cuboid  = l b h

 = 15× 30 ×15

= 6750 cm3

The volume of a cube is a3 where a is the edge of the cube

The edge of the cube can be 30cm

The volume of cube= [tex]a^{3}[/tex]

= [tex]30^{3}[/tex]

= 27000 [tex]cm^3[/tex]

To find out the number of cuboids to be required to form a cube will be the volume of the cube divided by the volume of a cuboid

No of cuboids required = (volume of the cube)/(volume of the cuboid)

= 27000/ 6750

 = 4

So, 4 cuboids of 30 ×15 ×15 are required to make a cube whose edge is 30cm

The correct question is How many cuboids of dimensions 15, 30, and 15 cm will be needed to form a cube

to know more about volume - https://brainly.com/question/13338592

#SPJ9

The greatest number of flowers in each group is 20.

In order to determine the greatest number number of flowers in each group, the highest common factor of 100 roses and 60 daises have to be determined.

The factor of a number is a number that divides a number perfectly into whole numbers. The highest common factor is the highest factor that is common to two or more numbers

Factors of 100 = 1, 2, 4, 5, 10, 20, 25, 50 and 100.

Factors of 60 = 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30 and 60.

Common factors of 100 and 60 - 1, 2, 5, 10, 20

Highest common factor = 20

To learn more about highest common factor, please check: https://brainly.com/question/26073850

#SPJ1

Alex Souza's potential profit represented by the combined retail value of the seven remaining animals is $13.20.

Profit is the excess of revenue over costs.

Profit represents the additional revenue a business generates from its activities after subtracting all costs.

                             Hamsters        Parakeets            Total

Ratio                            2          :            1

Cost price                 $2                     $1

Profit margin             $0.20                $0.10 (10%)

Retail price               $2.20                $1.10

Ending inventory      5                        2                      7

Profit value              $11                      $2.20           $13.20

Thus, Alex Souza's potential profit represented by the combined retail value of the seven remaining animals is $13.20.

Learn more about profits at https://brainly.com/question/1078746

#SPJ1

Answer:4.98

Step-by-step explanation:

trust me

Answer:

9t

Step-by-step explanation:

18÷2=9<-

27÷3=9<-

36÷4=9<-

Answer:

There is actually no solution for X

So the correct answer is B

Answer:

Step-by-step explanation:

1.true

2.true

3.true

Answer:

1)  True

2)  False

3)  True

Step-by-step explanation:

Set Notation

[tex]\begin{array}{|c|c|l|} \cline{1-3} \sf Symbol & \sf N\:\!ame & \sf Meaning \\\cline{1-3} \{ \: \} & \sf Set & \sf A\:collection\:of\:elements\\\cline{1-3} \cup & \sf Union & \sf A \cup B=elements\:in\:A\:or\:B\:(or\:both)}\\\cline{1-3} \cap & \sf Intersection & \sf A \cap B=elements\: in \:both\: A \:and \:B} \\\cline{1-3} \sf ' \:or\: ^c & \sf Complement & \sf A'=elements\: not\: in\: A \\\cline{1-3} \sf - & \sf Difference & \sf A-B=elements \:in \:A \:but\: not\: in \:B}\\\cline{1-3} \end{array}[/tex]

Question 1

The union of two sets is denoted by the symbol ∪.

The union of two sets is the set that comprises all elements in A or B or both.

Question 2

Given sets:

[tex]\begin{aligned} \implies \sf A \cup B & =\sf \{ 2, 3, 4\} \cup \{3, 4, 5, 6 \}\\& =\sf \{ 2, 3, 4, 5, 6\}\end{aligned}[/tex]

Question 3

Given sets:

[tex]\begin{aligned}\implies \sf M \cap N & =\sf \{ a, e, i, o, u\} \cap \{l, o, v, e \}\\& =\sf \{ o, e\}\end{aligned}[/tex]

Learn more about set notation here:

https://brainly.com/question/28356437

https://brainly.com/question/28353607

The parameter of the shaded shape is 50 meters

The parameter of any shape is sum of all sides

Measurements of some of the sides are given and some needs to be find out so the calculations are -

first side = 7m

second side = 14m

third side is equal to first side so= 7m,

fourth side = 1m

fifth side is equal to seventh side =4m

sixth side is second side- fourth side- eighth side = 14- 1-4= 9m

seventh side=4m

eighth side =4m

parameter of the shape = sum of all side = 7+ 14+ 7+ 1+4+9+4+4

                                     =50 m

So, the parameter of the shaded shape is 50 meters

To know more about parameter - https://brainly.com/question/13566907

#SPJ9

The principal investment required to get a total amount of $250,000.00 rounded to the nearest cent is $81569.95.

The formula for calculating compound interest is expressed as;

A = P(1 + r/n)^(n*t)

P = A / e^(r*t) compounded continuously

Given the data in the question;

Plug the given values into the equation above and solve for P

P = A / e^(r*t)

P = 250,000 / e^( 0.14 × 8 )

P = 250,000 / e^( 1.12)

P = 250,000 / e^( 1.12)

P = $81569.95

Therefore the principal investment required to get a total amount of $250,000.00 rounded to the nearest cent is $81569.95.

Learn more about compound interest here: brainly.com/question/27128740

#SPJ1

Finding the missing angle of the figure, the value of m∠DKL is 110°

Two rays that have a common endpoint and are referred to as the angle's sides and vertices, respectively, form an angle. Two rays can form angles in the plane where they are positioned. Angles are also produced when two planes intersect. These angles are dihedral.

given,

m∠DKL = (21x + 5)°

m∠JKD = (4x + 2)°

and

m∠JKL = 132°

By angle sum property of angles

m∠DKL + m∠JKD =  m∠JKL

substituting the values, we get

(21x + 5)° + (4x + 2)° equals  132°

(21x + 4x + 5 + 2)° =  132°

(25x + 7)°=  132°

(25x)° =  132° - 7°  

x = 125° / 25°

x = 5

now, the value of m∠DKL

m∠DKL = [21 (5) + 5]°

m∠DKL = 105° + 5°

m∠DKL = 110°

Hence the value of m∠DKL is 110°

To learn more about Angle click on the link

https://brainly.com/question/25716982

#SPJ9

The required answer for 25:4 and 45:10 as a complex fraction is 1/(4/25) and 1/(2/9).

Fractions represent the parts of a whole or collection of objects.

A fraction has two parts. The number on the top of the line is called the numerator and the number on the top of the line is called the denominator.

Now given ratio are,

25:4 and 45:10

Now converting the given ratio into fraction,

25:4 = 25/4

and,

45:10 = 45/10

Now for 25/4 we have,

Numerator = 25

Denominator = 4

Now dividing numerator and denominator by 25 we get,

Numerator = 25/25 = 1

Denominator = 4/25

Thus, the complex fraction of 25/4 we get is,

25/4 = 1/(4/25)

Similarly for 45/10

Numerator = 45

Denominator = 10

Now dividing numerator and denominator by 45 we get,

Numerator = 45/45 = 1

Denominator = 10/45 = 2/9

Thus, the complex fraction of 25/4 we get is,

45/10 = 1/(2/9)

Thus, the required answer for 25:4 and 45:10 as a complex fraction is 1/(4/25) and 1/(2/9)

To learn more about fractions:

brainly.com/question/445498

#SPJ1

Answer:

eldinosauriocomera3.5kilos de carne :)

Step-by-step explanation:

Karen while putting a fence around the L shaped garden will need about 22.3 ft which is the exact perimeter of this field, with its dimensions as given as 2.1ft by 7.8ft by 5.5ft by2.7ft of the garden.

Any kind of closed path that covers, encircles, or outlines a full one-dimensional length or a two-dimensional shape is called as a perimeter.

The circumference of a circle or an ellipse is referred to as its perimeter. There are varied uses in real life for the perimeter calculations.

For example, in case of a rectangle, there are two equal lengths and two equal widths in a rectangle. Then we must sum up all the lengths of the rectangle’s four sides in order to get its final perimeter.

Since there are like two of each side length, it is easy to accomplish this perimeter by simply adding the length and width and then multiplying the result by two.

In this problem,

Total perimeter = 2.1 + 5.1 + 2.1 + 2.5 + 2.7 + 7.8

= 22.3 ft

Thus, the perimeter has been calculated in total as 22.3 ft.

To know more about perimeter, visit:

https://brainly.com/question/27591380

#SPJ9

Answer:

Step-by-step explanation: I think the answer would be B or D they seem the most logical

Answer:

In so confused to here's a picture that might help a little bit

Answer: The answer is 17

Step-by-step explanation:

First of  you combine both 6x to get 12x and then you add the negatives to negative 24. you add 24 to the 180 and get 204 to isolate x. then you divide 204 by 12 and cancel it the 12 to isolate x and get x=17

Hope this helps :3

Answer: x (Subject), y (Number of books)

Step-by-step explanation: When using numbers in a bar graph, it is displayed on the Y-axis as its easily interpreted.

Answer:

In your bar graph, use one the bottom place written subjects, and the right side for Number of books.

Step-by-step explanation:

Here is where  l

you write           l      

the numbers     l

and ''number    l

  of books''        l           the middle is now where you draw

                          l

                          l

                          l

                              _____________________

                               subjects are written bellow

The number of apples that Gina can buy is 15 apples.

From the information, it was stated that the ratio of orange to apples is 2:3.

In this case, let the number of apples be represented by x

Therefore, the number of will be:

2/3 = 10/x

Cross multiply

2x = 10 × 3

2x = 30

Divide

x = 30 / 2

x = 15

Therefore, the number of apples that Gina can buy is 15 apples.

Learn more about ratio on:

brainly.com/question/2328454

#SPJ1

The ratio of orange to apples is 2:3. Gina might buy 10 oranges and _ apples

Answer:

1.55 lbs

Step-by-step explanation:

take 6 ⅕ and divide it by 4 since there are 4 bags, you can also turn it into a decimal (6.2)

Answer:

1.55lbs of cat food in each bag

Step-by-step explanation:

question 1) simply divide the total amount of cat food by the number of bags it is placed in.

6 1/5lb divided by 4

[tex]6 \frac{1}{5} \div 4[/tex]

when dividing fractions, the divisor is flipped over and the sign changes to multiplication.

[tex]6 \frac{1}{5} \times \frac{1}{4} [/tex]

[tex] \frac{31}{5} \times \frac{1}{4} [/tex]

therefore=

[tex] \frac{31}{20} [/tex]

or as a decimal 1.55lbs