4k - (2k - 7)
Helppppp

Answer:

The height of the balloon is 46 feet.

Step-by-step explanation:

Let the height from the ground to the top of the balloon be represented by x. Applying the appropriate trigonometric function, we have;

Looking at the top of the balloon,

Tan θ = [tex]\frac{opposite}{adjacent}[/tex]

Tan 53° = [tex]\frac{x}{60}[/tex]

x = 60 x Tan 53°

  = 79.6227

x = 79.62 feet

Looking at the bottom of the balloon, let the height from the ground to the bottom of the balloon be represented by y.

Tan θ = [tex]\frac{opposite}{adjacent}[/tex]

Tan 29° = [tex]\frac{y}{60}[/tex]

y = 60 x Tan 29°

  = 33.2585

y = 33.26 feet

The height of the balloon = x - y

                                           = 79.6227 - 33.2585

                                           = 46.3642

The height of the balloon is 46 feet.

Answer:

Side a = 1

Side b = 0.5

Side c = 0.86603 = √3/2

Nearest tenths is 0.9

Step-by-step explanation:

The following is one way to perform the calculation. It may not be the best way.

Calculates 2 sides based on 3 given angles and 1 side.

b = a·sin(B)/sin(A) = 0.5

c = a·sin(C)/sin(A) = 0.86603 = √3/2

Area =  

ab·sin(C)

2

= 0.21651

Perimeter p = a + b + c = 2.36603

Semiperimeter s =  

a + b +c

2

= 1.18301

Height ha =  

2×Area

a

= 0.43301

Height hb =  

2×Area

b

= 0.86603

Height hc =  

2×Area

c

= 0.5

Median ma = √(a/2)2 + c2 - ac·cos(B) = 0.5

Median mb = √(b/2)2 + a2 - ab·cos(C) = 0.90139

Median mc = √(c/2)2 + b2 - bc·cos(A) = 0.66144

Inradius r =  

Area

s

= 0.18301

Circumradius R =  

a

2sin(A)

= 0.5

0.86 is more than 0.85 so the nearest tenths place has to be 0.9

I will also post questions and you please answer them

Answer:

thirty and six hundred fifty-nine thousandths

Step-by-step explanation:

━━━━━━━☆☆━━━━━━━

▹ Answer

w, 5w², 2w² and -7w

▹ Step-by-Step Explanation

Terms are the values which are seperated by the plus sign (+) or the minus sign (-).

In this case, we have w + 5w² + 2w² - 7w

We can see that there is a total of 3 signs, two plus signs (+) and one minus sign (-).

Therefore, our terms will be w, 5w², 2w² and -7w. There is a total of 4 terms in this expression.

Hope this helps!

CloutAnswers ❁

━━━━━━━☆☆━━━━━━━

Answer:

ascending order:

angle KLM

angle KML

angle LKM

Step-by-step explanation:

angle opposite to the largest side is the largest angle:

largest angle = angle LKM

angle opposite to the smallestest side is the smallest angle:

smallest angle = angle KLM

Answer:

Step-by-step explanation:

0.5 ×10^5=5/10×10^5=5×10^4=50,000

Answer:

f-1(x)= x+9/-5

Step-by-step explanation:

1. To determine the inverse of the given function, first change f(x) to y. Then, switch x and y in the equation.

2. Now, solve the equation for y.

3. Finally, change y to f -1(x).

Answer:

I can't see the yellow..... but it should be subtract 10 from both sides!

So the answer is cyan or light blue (2nd one)

Step-by-step explanation:

Hope this helps! Mark as Brainliest!

Answer:

x=900

Step-by-step explanation:

100-10=90

90/100=0.9

x*0.9=810

x=810/0.9

x=900:)

hope it helps!!

Have a great day

Answer: yes

Step-by-step explanation: the answer is yes

Answer:

 The graph shows the solution to which inequality y>2/3x+1.

Step-by-step explanation:

hope that helps

Answer:

d

Step-by-step explanation:

Given

- [tex]\frac{3}{2}[/tex] x - 9 = - 27 ( add 9 to both sides )

- [tex]\frac{3}{2}[/tex] x = - 18 ( multiply both sides by 2 to clear the fraction )

- 3x = - 36 ( divide both sides by - 3 )

x = 12 → d

Answer:

And the question is???

Answer:

Step-by-step explanation:

use the pythagorean therom:

a^2 + b^2 = c^2

substitute in your values

90^2 +120^2=c^2

multiply

8100+14400=c^2

add

22500=c^2

take the square root of both sides

c= 150 meters :)

Answer:

Option C and Option D have exactly one solution.

Step-by-step explanation:

The equation will have exactly one solution when it completely solves and we get value of x.

Checking all choices

(Choice A)

-19x + 18 = -19x + 18

-19x+19x=18-18

0=0

(infinite solutions)

(Choice B)

-19x -18 = -19x + 18

-19x+19x=18+18

0≠36

(no solution)

(Choice C)

19x + 18 = -19x + 18

19x+19x=18-18

38x=0

x=0

(One solution)

(Choice D)

19x - 18 = -19x + 18

19x+19x=18+18

38x=36

x=36/38

x=18/19

(One solution)

So, Option C and Option D have exactly one solution.

Answer:

432 crayons

Step-by-step explanation:

convert 2 1/4 to 9/4

1 case=24 boxes=8 crayon in each box

24*8=192 for 1 case

9/4*192=432

The center received 432 crayons  

Answer:

The number 0 is a solution to that specific inequality

Step-by-step explanation:

0-5 <- -3

-5 <- -3

-3 is greater than -5

Answer:

The slope is undefined

Step-by-step explanation:

The equation of the line is x=-1 and this equation’s slope is undefined because it’s a vertical line.

Hope this helps and answers your question :)

Answer:

The line presented has an undefined slope.

Step-by-step explanation:

We are given two points of a line: (-1, 1) and (-1, 4).

Coordinate pairs in mathematics are labeled as (x₁, y₁) and (x₂, y₂).

Therefore, we know that the first coordinate pair can be labeled as (x₁, y₁), so, we can assign these variables these "names" as shown below:

We also can use the same naming system to assign these values to the second coordinate pair, (-1, 4):

We also need to note the rules about slope. There are different instances in which a slope can either be defined or it cannot be defined.

Circumstance 1: As long as the slope is not equal to zero, there can be a

Circumstance 2: If the slope is completely vertical (there is not a "run" associated with the line), there is an undefined slope. This is the slope of a vertical line. An example would be a vertical line (the slope is still zero).

Circumstance 3: If the line is a horizontal line (the line does not "rise" at all), then the slope of the line is zero.

Therefore, a slope can be positive, negative, zero, or undefined.

Now, we need to solve for the line we are given.

The slope of a line is determined from the slope-intercept form of an equation, which is represented as [tex]\text{y = mx + b}[/tex].

The slope is equivalent to the variable m. In this equation, y and x are constant variables (they are always represented as y and x) and b is the y-intercept of the line.

We can do this by using the coordinates of the point and the slope formula given two coordinate points of a line: [tex]m=\frac{y_2-y_1}{x_2-x_1}.[/tex]

Therefore, because we defined our values earlier, we can substitute these into the equation and solve for m.

Our values were:

Therefore, we can substitute these values above and solve the equation.

[tex]\displaystyle{m = \frac{4 - 1}{-1 - -1}}\\\\m = \frac{3}{0}\\\\m = 0[/tex]

Therefore, we get a slope of zero, so we need to determine if this is a vertical line or a horizontal line. Therefore, we need to check to see if the x-coordinates are the same or if the y-coordinates are the same. We can easily check this.

x₁ = -1

x₂ = -1

y₁ = 1

y₂ = 4

If our y-coordinates are the same, the line is horizontal.

If our x-coordinates are the same, the line is vertical.

We see that our x-coordinates are the same, so we can determine that our line is a vertical line.

Therefore, finding that our slope is vertical, using our rules above, we can determine that our slope is undefined.

Answer:

The answer is -6.

Step-by-step explanation:

Stabilizing selection is occurring because the average is favored.

If its the same graph im thinking of.

The correct statement is a valid claim that could be made using the data in the graph is,

B) Stabilizing selection is occurring because the average is favored.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Now, On this graph we can observe the workings of the stabilizing selection.

Since, Stabilizing selection tends to favor the average phenotype and eliminate the extremes.

Essentially, this means that the natural selection is selecting the mean value of a trait as optimal.

Hence, In our case, the mean weight of newborns is selected as optimal, because newborns born with less weight can be too weak to survive and the ones that have too much weight (are too big) can hurt the mother during birth.

Thus, The correct statement is a valid claim that could be made using the data in the graph is,

B) Stabilizing selection is occurring because the average is favored.

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ5

Answer:

1=35 find angle 2 80+65-180=35

2= 65 vertical angles are congruent ex 115-180

3=29 ex. 90+65-180=29

4= 115 vertical angle congruent

5=65 vertical angles are congruent ex 115-180

6=65 35+80-180=65

7=144

Answer:

∠1 = 35                  ;      ∠2 = 65       ;     ∠3 = 29       ;      ∠4 = 115  

∠5 = 65               ;       ∠6 = 36       ;   ∠7 = 144

Step-by-step explanation:

∠4 = 115                              {Vertically opposite angles}

∠5 + 115 = 180                  {linear pair}

         ∠5 = 180 - 115

        ∠5 = 65

∠2 = ∠5         {Vertically opposite angles}

∠2 = 65

∠1 + 80 +∠2 = 180   {Angle sum property of triangle}

∠1 + 80 + 65=180

       ∠1 + 145 = 180

               ∠1 = 180 - 145

∠1 = 35

∠5 + ∠7 + 90 + 61 = 360   {angle sum property of quadrilateral}

65 + ∠ 7 + 90 + 61 = 360

          ∠7 + 216      = 360

                    ∠7      = 360 - 216

                       ∠7 = 144

∠6 + ∠ 7 = 180   {linear pair}

∠6 + 144 = 180

          ∠6 = 180 - 144

          ∠6 = 36

∠3 + ∠4 +∠ 6 = 180        {angle sum property of triangle}

∠3 + 115 + 36 = 180

      ∠3 + 151  = 180

               ∠3 = 180 - 151

               ∠3 = 29

Answer:

10 / 28

Step-by-step explanation:

Answer:

-8m + 3 - 32n

Step-by-step explanation:

Distributive Property

-8m + 3 - 32n

Answer: I would have to go with e because it is the closest because it is -2 and if it were to get to zero it wouldn't take that long.

Step-by-step explanation:

Answer:

-5

Step-by-step explanation:

The function follows y = mx + b form where m is the slope.

m = -5

The slope is -5

Answer:

-5

Step-by-step explanation:

the equation is written in form y = mx + b

The m is the slope and the b is the y intercept.

So the m in the equation is -5.

Answer:

y=-1/3x+2

Step-by-step explanation:

Answer:

$4.25 each pound

Step-by-step explanation:

To find the unit rate you want to divide the price by the pound

25.50 / 6 = 4.25

Therefore it's $4.25 each pound which is the unit rate

Answer:

answer d

Step-by-step explanation:

negative exponents need to be put into the denom

Answer:

#3

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

[tex]\frac{7x}{2} <5\\7x<10\\x<\frac{10}{7}[/tex]