A television transmitter tower is 600 ft high. If the angle between the guy wire (attached at the
top) and the tower is 55.4°, how long is the guy wire?

By solving a linear equation, we can see that the measures of the segments are:

Here we have 3 collinear points, a, b, and c.

We know that the measures are:

ab = 9

ac = x + 19

bc = 2x + 18

If b is between a and c, then we should have that:

ac = ab + bc

Replacing the measures we get:

x + 19 = 9 + (2x + 18)

Now we can solve this linear equation to find the value of x.

x + 19 = 9 + 2x + 18

x + 19 = 27 + 2x

19 - 27 = 2x  -x

-8 = x

Then the measures are:

ab = 9

ac = -8 + 19 = 11

bc = 2*(-8) + 18 = -16 + 18 = 2

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Answer:

-(2x+6)=4x

-2x-6=4x

-2x-4x=6

-6x=6

X = - 1

The necessary inequality is denoted by the symbol.

-40< x <118

This is further explained below.

Generally, Find an inequality that represents the potential landing or takeoff circumstances of an aircraft, the needed graph, and one example where the inequality will be evaluated.

Find an inequality that represents the possible landing or takeoff conditions of an aircraft.

The necessary inequality is denoted by the symbol.

-40<x<118

The temperature range in which the aircraft is possible to take off or land is shown by the graph.

Due of the high temperatures in Phoenix, Arizona in June of 1990, the pilot could not have safely taken off.

Let us represent the temperature with the symbol x

Therefore, the temperature must be above or equal to.

-40F so x>-40

Therefore, the temperature can't be at or higher than.

118F so x<118

The disparity between them will be.

-40<x<118

It is possible to observe from the graph that the area colored in gray encompasses all of the points that lie between -40 and 118, but it will not include the points -40 and 118.

The temperature range in which the aircraft is possible to take off or land is shown by the graph.

In June of 1990, the temperature in Phoenix, Arizona, reached a high of degree 122degree, which is higher than 118F

Because of this, it is impossible for the pilot to have taken off on this day.

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Redbox is used by 136 people.

To find how many people use red boxes:

Given:

A survey was given asking whether they watch movies at home from Netflix, Redbox, or a video store.

Then,

Therefore, Redbox is used by 136 people.

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The complete question is given below:
A survey was given asking whether they watch movies at home from Netflix, Redbox, or a video store. Use the results to determine how many people use Redbox.

52 only use Netflix

62 only use Redbox

24 only use a video store

16 use only a video store and Redbox

48 use only Netflix and Redbox

30 use only a video store and Netflix

10 use all three

25 use none of these

Answer: 0 = 0

Step-by-step explanation: Rearrange terms: 6-2 ( -x+8 ) = 2x -10

Distribute: 6 + 2x - 16 = 2x - 10

Subtract 6 and 16: -10 + 2x = 2x - 10

Rearrange terms: 2x - 10 = 2x -10

Add ten to both sides: 2x - 10 + 10 = 2x - 10 + 10

Simplify: 2x = 2x

Subtract 2x from both sides: 2x - 2 = 2x - 2

Simplify: 0 = 0

Hope that helps!

The statement shows the correct justification for the step used to solve the equation 0=4+q is "Subtract 4 from each side"

Given,

The equation 0=4+q

To solve the equation we have to subtract 4 from each side, then we will get the value of q

0=4+q

0-4=4+q-4

-4=q

So we have to subtract 4 from each side

Hence, The statement shows the correct justification for the step used to solve the equation 0=4+q is "Subtract 4 from each side"

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Answer:

a. -11, 97, 6, 87

b. he didn't get over it

Step-by-step explanation:

a. The table shows you the grade in the upper row and in the lower row difference between upper row and 90. So to calculate lower row you need to do X-90 where X is upper row value. To calculate upper row you need to do X+90 where X is lower row value

so you get column 3:

79-90=-11

column 4:

90+7=97

column 5:

96-90=6

column 6:

-3+90=90-3=87

b. To answer this question we would need to simply sum all the values from the Above/Below row for all 6 columns:

-7+4+(-11)+7+6+(-3)= -7+4-11+7+6-3=-4. Since the value is negative it means it's below 90

Answer:

(-2x+1)x(6x+1)x(1+2x-8x^3-16x*4)

Step-by-step explanation:

Answer: $0.80

Step-by-step explanation:

2.01/2.5=

0.804=

0.804=$0.80

Answer:

3/4 is greater

Step-by-step explanation:

If you change them both into decimals.  You can see that 3/4 is larger

3/4 = .75

11/16 = .6875

Put in your calculator 3÷4 and 11÷16

Answer:

3/4 is larger because

[tex]\frac{3}{4}[/tex]*[tex]\frac{4}{4}[/tex]=[tex]\frac{12}{16}[/tex]                              [tex]\frac{12}{16}[/tex] > [tex]\frac{11}{16}[/tex]

Step-by-step explanation:

When making the denominators equal it is clear to see that 3/4 which is equal to 12/16 is greater than 11/16.

The change in temperature from morning to night is ₋18°F which means the temperature decreased from morning to night.

Given the temperature in the morning is ₋10°F

and temperature in the night is 8°F

To calculate the difference, subtraction is used between the starting and final temperatures. In other words, if something starts at 50 degrees Celsius and ends up at 75 degrees C, the temperature difference is 25 degrees C, or 75 degrees C minus 50 degrees C. The outcome is adverse for drops in temperature.

change in temperature from morning to night  = ₋10°F ₋ 8°F

= ₋18°F

the result is negative, hence the temperature decreases from morning to night.

Hence we get the temperature change as ₋18°F.

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The value of c that satisfies the given inequality is c = 3.

Inequality is a conditional relation that compares two numbers or expressions in a way that is not equal. Commonly, it is used to contrast the relative sizes of two numbers on a number line.

From the given information, we are to find the values of c that satisfies the relation;

i.e 2 must be greater than the solution of any values of c that are put into the equation.

If c = 3

2 > 3/3

2 > 1    (the value of  c satisfy the given inequality)

If c = 6

2 > 6/3

2 = 2    (the value of c does not satisfy the given inequality)

If c = 9

2 > 9/3

2 < 3    (the value of c does not satisfy the given inequality)

Therefore, we can conclude that the value of c that satisfies the given inequality is c = 3.

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Using logarithm properties, the expression written as a single term is:

[tex]\ln{\left(\frac{(x - 1)^6(x+1)}{x^3}\right)}[/tex]

Researching the problem on a search engine, the expression is given by:

3[2ln(x - 1) - ln(x)] + ln(x + 1).

Applying the distributive property, we have that:

6ln(x - 1) - 3ln(x) + ln(x + 1).

Applying the exponential property of logarithms, we have that the expression is:

[tex]\ln{(x - 1)^6} - \ln{(x)^3} + \ln{(x + 1)}[/tex]

The adding terms can be placed inside multiplying, the subtracting dividing, hence:

[tex]\ln{(x - 1)^6} - \ln{(x)^3} + \ln{(x + 1)} = \ln{\left(\frac{(x - 1)^6(x+1)}{x^3}\right)}[/tex]

Hence the expression written as a single term is:

[tex]\ln{\left(\frac{(x - 1)^6(x+1)}{x^3}\right)}[/tex]

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-5y+3=2(4y+12)

4 x 2 − 2 x − 2 x − 2 = − 1 2

x√x=-x

|x-a|= a2-x2

4 x 2 + 1 − 2 x 2 + 2 = 8

The approximate solution to this equation 4lnx-8=12 is 143.5.

The natural logarithm of a number is its logarithm to the base of the mathematical constant e, which is an irrational and transcendental number approximately equal to 2.718281828459.

The given equation is 4lnx-8=12

4lnx=20

lnx=5

lnx= logeX

logeX=5

x=e^5

that is approximately equal to 2.7^5= 143.5

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Answer:

8 3/123

Step-by-step explanation:

8024/1000 = 103/125 = 8 3/125

Answer: 8³/₁₂₅

Step-by-step explanation:

[tex]\displaystyle\\8.024=\\\\8\frac{24}{1000}=\\\\ 8\frac{3*8}{125*8}=\\\\8\frac{3}{125}[/tex]

Answer: f(-8)=-144

Step-by-step explanation:

f (x)=-x^2+10x

f (-8)=

-(-8)^2+10(-8)=

-64+(-80)=

-64-80=

-(64+80)=-144

Answer:

Remove each x and put - 8

Step-by-step explanation:

(-8)^2+(10x_8)=-16

Total number of possible hamburgers is 768

Given,

The number of condiments = 8

Total number of combinations with 8 condiments = [tex]2^{8}=256[/tex]

A customer can choose one, two or three meat patties

Total number of possible hamburgers = 256×3= 768

Hence, the total number of possible hamburgers is 768

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Answer:

he chose the option A 8 once for $ 1.44

Answer

Domain: 1 < x < 5

Range: -10 < y < 2

Step-by-step explanation

First, we need to graph the function. The function is just a linear function, but arranged differently. You can rearrange it to be:

[tex]f(x) = -3x + 5[/tex]

Now graph the function. The slope of it should be -3, and the y-intercept is 5.

To find the domain, just use the relation of the x values given with the function (1 < x < 5).

To find the range, plug the smallest and largest values of the domain into the function given. 1 and 5 should be the numbers you are plugging in. The outputs will be the range. Remember that negative numbers are smaller than positive numbers, so the negative number should be on the left.

Answer: The answer is D 6 hours

Step-by-step explanation:

The required line segment will terminate at the point on the graph where the airports' coordinates (x, y) are placed.

The graph's origin, or (0, 0), will serve as its initial coordinates. Kiley's home is represented by this point. You need to figure out where the line segment would terminate if you were to draw a segment from here that depicts Kiley's automobile travel from her residence to the airport.

Coordinates are a set of values which helps to show the exact position of a point in the coordinate plane. Coordinate Plane Meaning. A coordinate plane is a 2D plane which is formed by the intersection of two perpendicular lines known as the x-axis and y-axis.

Let the airports' coordinates be in this instance (x, y).

Moreover, if the slope of the line segment linking Kiley's home and the airport is m,

The line's equation will now be,

y = mx

c = 0

Because the line is passes from origin (0, 0)

When one of the airport's coordinates is known, another one might be found.

Therefore, the necessary line segment will terminate at the point on the graph where the airports' (x, y) coordinates are placed.

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Answer:

[tex] \sf \large \: x=6[/tex]

Step-by-step explanation:

Let's solve your equation step-by-step.

6x−11=180−155

Step 1: Simplify both sides of the equation.

6x−11=180−155

6x+−11=180+−155

6x−11=(180+−155)(Combine Like Terms)

6x−11=25

6x−11=25

Step 2: Add 11 to both sides.

6x−11+11=25+11

6x=36

Step 3: Divide both sides by 6.

6x/6 = 36/6

x=6

Answer:

b) (-3)⁶/(-3)⁴

Step-by-step explanation:

Given that,

→ (-3)⁴/(-3)²

→ 81/9 = 9

Then the equivalent expression is,

→ (-3)⁶/(-3)⁴

→ 729/81 = 9

Hence, option (b) is correct.

Answer: x = 21

Step-by-step explanation:

13/39 = 7/x

13/39 = 1/3 (divide each side by 13)

1/3=7/x

1/3=7/21 (multiply the numerator by 3 to get the denominator)

Answer:

[tex]15\sqrt{3}i[/tex]

Step-by-step explanation:

Negative square roots are complex numbers.

The equivalent expression for the expression (-5cd-4)(2cd²)² is - 20c³d⁵ - 16c²d⁴.

A finite combination of symbols that are well-formed in accordance with context-dependent principles is referred to as an expression or mathematical expression. Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Consider the expression,

(-5cd - 4)( 2cd²)²

Now let x = (-5cd - 4)( 2cd²)²,

Then,

x = (-5cd - 4)( 2cd²)²

x = ( - 5cd -4 ) × (2c)² × (d²)²

x = ( - 5cd - 4) × ( 4c² ) × d⁴

x = ( -5cd - 4 ) × 4c²d⁴

Using the distributive property,

x = ( - 5cd ) ×  ( 4c²d⁴ ) - 4 ×  4c²d⁴

x = - 20 × c³ × d⁵ - 16 ×  c²d⁴

x = - 20c³d⁵ - 16c²d⁴

Therefore, the equivalent expression of (-5cd-4)(2cd²)² is - 20c³d⁵ - 16c²d⁴.

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Applying the subtraction property of equality, the number that belongs in the green box is of 9.

When we subtract an amount from one side of the equality, the same amount has to be subtracted from the other side of the equality.

In this problem, we have that;

Thus, the number that belongs in the green box is of 9.

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The angles of rotation will map the figure onto itself are 60, 120, 180....

In geometry, transformation involves changing the angle, position and/or size of a shape.

The given parameter is the shape in the figure

From the figure, we can see that the shape has 6 congruent sides

This means that the shape is a regular hexagon

The angle of rotation will map the figure onto itself is calculated as

Angle = 360/Number of sides

So, we have

Angle = 360/6

Evaluate

Angle = 60

The other angles must be a multiple of 60

i.e. 60, 120, 180....

Hence, the angles of rotation will map the figure onto itself are 60, 120, 180....

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