max observes the zoo and the library from a helicopter flying at a height of 300 times square root of 3 feet above the ground, as shown below

Answers

Answer 1

The distance between the zoo and library is 600 feet, as seen with the help of concept of applications of trigonometry.

What is the concept of applications of trigonometry?To roof a home, to make the roof slant (in the case of single-family bungalows), to determine the height of the roof in buildings, etc., utilize trigonometry. The navy and aviation industries use it. It's applied to cartography (creation of maps). Trigonometry is also used in satellite navigation systems.

Given: height of helicopter = 300√3 feet from the ground.

To find: Distance between zoo and library.

Finding:

(Refer to the image attached.)

Let the distance from the plane to the zoo and library be d1 and d2 respectively.

Then, with the help of concepts of applications of trigonometry,

For the zoo:

[tex]tan(60) = \frac{300\sqrt{3}}{d1}[/tex]

=> [tex]\sqrt{3}=\frac{300\sqrt{3}}{d1}[/tex]

=> d1 = 300 feet

For the library:

[tex]tan(30) = \frac{300\sqrt{3}}{d2}[/tex]

=> [tex]\frac{1}{\sqrt{3}}=\frac{300\sqrt{3}}{d2}[/tex]

=> d2 = 300 (3) = 900 feet

The distance between zoo and library = d2 - d1 = 900 - 300 = 600 feet.

Hence, the distance between the zoo and library is 600 feet, as seen with the help of concept of applications of trigonometry.

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Max Observes The Zoo And The Library From A Helicopter Flying At A Height Of 300 Times Square Root Of

Related Questions

A number is divided by 5.

Answers

Answer:

50 divided by 5 is 10

Step-by-step explanation:

Answer:

x/5

Step-by-step explanation:

natalie spends 90 minutes doing her math and english homework.the time she spends on her math homework is a function of the timeshe spends on her english homework.

Answers

Total time spend by Natalie doing her Math and English homework is 90 minutes ,equation represents the time she for math homework is a function of time she spends her English homework is y = 90-x.

As given,

Total time spend =90 minutes

Time spend on doing

English homework =x minutes

Math homework =y minutes

Equation representing the function,

y = 90-x

Therefore, total time spend is 90 minutes , equation represents the time she for math homework is a function of time she spends her English homework is y = 90-x.

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ac a, c, with, \overleftrightarrow, on top is tangent to circle ooo at point ccc. what is the measure of \angle oac∠oacangle, o, a, c?

Answers

The correct option is (C) 45°

The measure of angle ∠OCA = 45°.

What is the tangent?

A circle is a depiction with no sides or vertices.

It includes a radius as well as a center. The center is the point from which all other points just on circle are equidistant, and the distance between them equals the radius.

Let AC equal the tangent to the circle with center O.

OA ⊥ AC ....(The tangent has always been perpendicular to the radius.)

As, it is given that ∠OAC = 90° and ΔOAC is isosceles triangle.

Thus, ∠O = ∠C = x (say)

Now, using the triangle's angle sum property. We have it,

90° + x + x= 180°

On simplification;

x = 45°

Thus, the value of angle ∠OCA is 45°.

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The correct question is-

'O' is a centre of a circle, AC is a tangent to a circle at point A. If ΔOAC is an isosceles triangle, then find the measure of ∠OCA

(A) 75°

(B) 50°

(D) 40°

- 4x + 3y = 23
1x=y=-7

Answers

Answer:- 4x + 3y = 23

Step-by-step explanation: 1x=y=-7

what is the answer
√2x-1+3=4

Answers

Answer:

x = 2

Step-by-step explanation:

Let's solve for the value of x,

→ √2x - 1 + 3 = 4

→ √2x + 2 = 4

→ √2x = 4 - 2

→ 2x = (2)²

→ x = 4/2

→ [ x = 2 ]

Hence, the value of x is 2.

Watch help video
Find the equation of the exponential function represented by the table below:
X
0
1
2
3
Y
0.02
0.04
0.08
0.16 help please

Answers

Hence, the equation of exponential function is represented by y = A(Bˣ)

An exponential function is a mathematical function of the form f(x) = ax, where "x" is a variable and "a" is a constant called the base of the function and it must be greater than 0.

The most commonly used exponential basis is the transcendental number e, which is approximately equal to 2.71828

The equation in exponential form

y = A(Bˣ)

Case 1 :

x =0 y = 0.02

0.02 = A (B⁰)

A = 0.02

Case 2:

x = 1 y =0.04

0.04 = 0.02(B)

0.04 /0.02 = B

B = 2

Case 3 :

x = 2 y =0.08

0.08 = 0.02(2²)

0.08 = 0.08

Case 4 :

x = 3 y = 0.16

0.16 = 0.02(2³)

0.16 = 0.16

So, we have implemented the eqaution y = A(Bˣ)

We found the values of A & B, and also proved them in case 3 and case 4.

Hence, the equation of exponential function is represented by y = A(Bˣ)

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q equals 4 l plus 2 k with l on the horizontal axis and k on the vertical axis, draw an isoquant. the slope of this isoquant equals

Answers

Answer:43

Step-by-step explanation:

32 1+1=26 258 4 Part A: Create a story or context for this number sentence. (4 points) Part B: Rewrite this number sentence using multiplication. (2 points) Part C: Give a verbal explanation that describes how these three numbers are related. (4 points) 2

Answers

Step-by-step explanation:

questionamy is eight years older than twice her cousin alicia’s age. the sum of their ages is less than 32.let x represent alicia's age.which inequality represents alicia’s possible age?

Answers

An inequality that represents Alicia’s possible age is x < 8.

For given question,

let x represent Alicia's age.

Amy is eight years older than twice her cousin Alicia’s age.

So, Amy's age would be 2x + 8

The sum of their ages is less than 32.

We write above statement in mathematical expression.

sum of their ages = (2x + 8) + x

= 3x + 8

The sum of their ages is less than 32.

We use the symbol < for 'less than'

So, the mathematical expression form of given statement would be,

(3x + 8) < 32

So, we get an inequality 3x + 8 < 32

⇒ 3x < 32 - 8

⇒ 3x < 24

⇒ x < 24/3

⇒ x < 8

Therefore, an inequality that represents Alicia’s possible age is x < 8.

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Question 3(Multiple Choice Worth 1 points)
(01.01 LC)
Evaluate the expression 5(7-4)2 + 3 + 11.
3
14
26
33

Answers

The value of the algebraic expressions is 59.

According to the statement

We have to find that the value of the expression.

So, For this purpose, we know that the

Algebraic expression is, a symbol or a combination of symbols used in algebra, containing one or more numbers, variables, and arithmetic operations

From the given information:

5(7-4)^2 + 3 + 11

Then we have to solve it with bodmas rule.

Then

5(7-4)^2 + 3 + 11

Firstly solve the bracket

5(3)^2 + 3 + 11

Then multiply the terms

5*9 + 3 + 11

Then add the terms

45+14

59.

So, The value of the algebraic expressions is 59.

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A line passes through the points (1, 4) and (3, â€"4). which is the equation of the line? y = negative 4 x 8 y = â€"2x 6 y = negative one-fourth x 2 y = 2x 2

Answers

Answer:

declares that human rights are universal – to be enjoyed by all people, no matter who they are or where they live

Step-by-step explanation:

eli wants to combine 0.5 gallons of a 10% acetic acid solution with a 35% solution to make a 15% acetic solution. he needs to determine how many gallons of 35% solution are needed.

Answers

0.125 gallons of 35% solution are required to achieve the specified ratio.

This is further explained below.

How many gallons of 35% solution is needed by Eli ?

Generally, It takes 0.125 gallons of a 35% solution to get the ratio you want.

Eli wishes to mix 0.5 gallons of a 10% acetic acid solution with a 35% solution to create a 15% acetic acid solution; thus, the calculation below must be done to calculate how many gallons of

5% solutions are required:

1 x 10 + 2 x 35 = 80

=> 80 ÷ 3 = 26.66

1x10 + 1x35 = 45

=>45÷ 2 = 2.5

1 x 10 + 0.5 x 35 = 27.5

=>27.5 ÷ 1.5 = 18.33

1 x 10 + 0.4 x 35 = 24

=>24 ÷ 1.4 = 17.14

1 x 10 + 0.2 x 35 =17

=> 17 / 1.2 = 14.16

1 x 10 + 0.3 x 35 = 20.5

=> 20.5/ 1.3 = 15.76

1 x 10 + 0.25 x 35 = 18.75

=> 18.75 / 1.25 = 15

1 / 2 = 0.5

0.25 / 2 = 0.125

In conclusion, 0.125 gallons of 35% solution are required to achieve the specified ratio.

Answers

the equation formula y=2/3x+5 is (3,-3).

In mathematics, what is an equation?

Algebraically speaking, an equation is a statement that shows the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.

based on the available facts;

You might be wondering how, but we can start with that 5 at the end, which denotes the y-intercept.

If 0 is used in place of x, then y=2/30+5y=5

We shall receive the first coordinate as a result, which is (0,5).

Let's then consider the slope, which is 2,3. As you may already be aware, the slope is also known as

rise/run

; what do they mean by that is that the first top number tells you how many units you go up and the second one how many units you go right or how many units you go down and go left.

Now, I know this may seem complicated but let's make it clear. Since we know one coordinate, which is

(0,5)

, from that point by knowing the slope we can find a second point; this point is 2 points above and 3 to the right, which tells us that −5+2

points above gives us −3 and 3 points on the right gives us a new coordinate:

(3,−3)

And since we now know two coordinates, that is enough to draw the line and have the graph.

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-5 =n-3

bjjvyuvfjjkooyfv

Answers

Answer:

-2 = n

Step-by-step explanation:

-5 = n - 3

- 5 + 3 = n

-2 = n

--------------

check

-5 = -2 - 3

-5 = -5

the answer is good

choose an expression that is equivalent to negative three raised to the fourth power divided by negative three raised to the second power.

Answers

The expression that is equivalent to negative three raised to the fourth power divided by negative three raised to the second power is (-3⁴) / (-3²)

Expression:

Expressions are the mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.

Given,

Negative three raised to the fourth power divided by negative three raised to the second power.

Here we need to find the expression for this statement.

First, we have to divide the statement into two like,

"Negative three raised to the fourth power"

It can be written as,

=> (-3⁴)

And the for the next part,

"Negative three raised to the second power."

It can be written as,

=> (-3²)

Now we have to divide these two terms, the we get,

=> (-3⁴) / (-3²)

Therefore, the expression is (-3⁴) / (-3²).

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For a data set with an odd number of observations that have been sorted from smallest to largest values, where is the median located?

Answers

For a data set with an odd number of observations that have been sorted from smallest to largest values, the median is located at [tex]\frac{x+1}{2}[/tex]

Given,

The conditions

There are odd number of observationThe observation have been sorted from smallest to largest values

We know,

Median is the middle number of ordered data set.

Consider the number of observations as x

Then the median is located at [tex]\frac{x+1}{2}[/tex]

Hence, for a data set with an odd number of observations that have been sorted from smallest to largest values, the median is located at [tex]\frac{x+1}{2}[/tex]

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Solve the equation below for x.
x – 15.2 = 76
A. x = 5
B. x = 60.8
C. x = 91.2
D. x = 1,155.2

Answers

The answer is C (x = 91.2)

Step-by-step explanation:

x - 15.2 = 76

x = 76 + 15.2

x = 91.2

The answer is C
91.2

Steps
Add
76 and 15.2

through: (5,2), slope=-1/5

Answers

Answer:

describe any eight risky situation young people are frequently exposed to

27 people were on a coach.

There were 24 people at the next coach stop.

1/3 of these people got on the coach.

What is 1/3 of 24?

Answers

Step-by-step explanation:

are you serious ?

1/3 of 24 means dividing 24 by 3,

means 24×1/3 = 24/3 = 8

Aaron and Boone are splitting up the number of apples they picked the number each has can be described in the equation b+2=2a Which statement correctly describes the relationship between a and b in the equation
A. twice a is 2 more than b
B. twice b is 2 more than a
C. twice a is 2 less than b
D. twice b is 2 less than a

Answers

The answer will be D hope this helps

Use the GCF and the Distributive Property to
rewrite the following expression:
48 + 60 I really need help

Answers

Hey there!

48 + 60 = 108

The DISTRIBUTIVE formula:

12(4 + 5)

= 12(4) + 12(5)

= 48 + 60

= 108

OR EVEN

12(4 + 5)

= 12(9)

= 108

Therefore, your answer should be:

12(4 + 5)

Goof luck on your assignment & enjoy your day!

~Amphitrite1040:)

What is the difference of ‒6 ‒ 15?

Answers

Answer: -21

Step-by-step explanation:

To solve this, you must subtract either one of the numbers from the other, then take the absolute value.

The easiest way is to subtract -6 from 15, since it will allow you to work with positive numbers.

So you do 15 - (-6), which is the same as 15 + 6. The answer is -21, and since it is a positive number, no further calculations are required to find the absolute value.

Step-by-step explanation:

what is 12 to 14 in simplest form

Answers

The simplest form of 12 to 14 is 6 to 7.

How to illustrate the information?

It should be noted that the information is that we should find the simplest form of 12 to 14.

In this case, it's important to look at their common factor. The common factor here is 2.

Therefore, the simplest form will be:

(12/2) / (14/2) = 6/7.

Therefore, the simplest form of 12 to 14 is 6 to 7.

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400
,
000
=
4
×
10
6
True or false

Answers

Answer: False

Step-by-step explanation:

4 x 106 = 424

Answer: false

Step-by-step explanation: I'm not even going to explain it just multiply 4 x 106

help pls quickly!!!!

Answers

Answer:

answer is 4!

Step-by-step explanation:

How do I write out -3 * a number increased by 7 is less than -11

Answers

The mathematical expression, an inequality to be more specific which represents the given word phrase; -3 * a number increased by 7 is less than -11 is; -3a +7 < 11.

What is the mathematical expression which represents the word phrase; -3 * a number increased by 7 is less than -11 as given?

It follows from the task content that the mathematical expression which correctly represents the word phrase is to be determined.

Since the product of -3 and the number, a can be written as; -3 × a = -3a.

Hence, the word phrase as given in the task content can be written as;

-3a +7 < 11.

This follows from the concept of inequalities.

Ultimately, The mathematical expression, an inequality to be more specific which represents the given word phrase; -3 * a number increased by 7 is less than -11 is; -3a +7 < 11.

Answers

Answer:

4x² -11x +5 = 0

Step-by-step explanation:

Given α and β are roots of 4x² -5x -1 = 0, you want to find the quadratic equation that has (2-α) and (2-β) as its roots.

Factored form

Factoring out the leading coefficient, we can write the factored form of the given quadratic as ...

4(x -α)(x -β) = 0 = 4x² -5x -1

When the roots are changed from α and β to (2-α) and (2-β), the factored form of the new equation is ...

4(x -(2 -α))(x -(2 -β)) = 0

4(x -2 +α)(x -2 +β) = 0

Negating both factors allows us to write this in a familiar form:

4((2 -x) -α)((2 -x) -β) = 0

Comparing to the original factored quadratic, we see that this is the original with x replaced by (2 -x). Then the quadratic we seek is ...

4(2-x)² -5(2 -x) -1 = 0 . . . . . . . . . . . original with x replaced by (2-x)

4(4 -4x +x²) -10 +5x -1 = 0 . . . . simplify a bit

4x² -11x +5 = 0 . . . . . . . . . . simplify

The quadratic whose roots are (2-α) and (2-β) is 4x² -11x +5 = 0.

Additional comment

Effectively, the roots and the equation are reflected across the line x=1.

Describe
and correct the error in naming opposite rays in
the diagram (problem 26 only)

Answers

The error is the symbol for the ray is not correct.

We know that opposite rays are two rays that both start from a common point and go in exactly opposite directions.

In the image attached the rays,

→

YC and

→

YE are opposite rays.

And the points E, Y, and C are colinear, that is the points E, Y, and C lie on a straight line.

In the image, the rays YC and YE just have a line on the above without the right arrow mark. This representation that is given in question indicates that YC and YE are line segments and not rays.

Hence, The correct way to represent them is

→

YC and

→

YE are opposite rays.

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The area of a desert in africa is 5 times the area of a desert in asia . If the area of a desert in asia is x square miles , express the area of a desert in africa as an algebraic expression x.

Answers

The algebraic expression for the area of desert in Africa is 5 x

What are algebraic expressions?

Algebraic expressions are expressions that are comprised of variables, terms, factors, coefficients, and constants.

They are also made up of mathematical operations such as addition, subtraction, multiplication, division, etc.

From the information given, we have;

Area of desert in Africa is 5 timesArea of desert in Asia is x square units

This can be expressed as;

Area of desert in Africa = 5 x

Thus, the algebraic expression for the area of desert in Africa is 5 x

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6 What is an equation in point-slope form of the
line that passess through the point (3, -2) and
has a slope -2?
A.
B.
C.
D.
y + 2 = -2(x - 3)
y - 2 = -2(x-3)
y - 2 = -2(x + 3)
y + 2 = 2(x-3)
1041
quation in point-slone form of a line

Answers

Answer:

Step-by-step explanation:

Point slope form is y-y1=m(x-x1)

If the point is (3, -2) then y1 is -2 and x1 is 3, then the equation should look like this y+2=m(x-3)

Then you just plug in -2 for m

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