If a 24-foot ladder makes a 58 degree angle with the ground, how many feet up a wall will it reach? Round your answer to the nearest tenth.

Answer:

Cot theta = 0.2

Step-by-step explanation:

[tex]180^\circ < \theta < 270^\circ[/tex]

So, theta is in the third quadrant

[tex]Cot \ \theta =\dfrac{1}{Tan \ \theta}\\[/tex]

         [tex]= \dfrac{1}{2}[/tex]

[tex]\sf Cot \ \theta = 0.5[/tex]

The profit of  5103.5 by making a prescription for 6 tablets.

Percentage, a relative value indicating hundredth parts of any quantity.

The drug Viagra comes in a quantity of 30 tablets with an AWP of $900.

The insurer is willing to pay the AWP less 5% plus a $2.50

900/TAB = X 30 TABS  =$27000

27000 * (0.05)= $1350

27000-1350.00

=$25650 + $2.50

=25652.5 for 30 tablets

For 6 tablets,

= (25652.5 / 30)*6

= 5103.5

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The cost per cookie, in dollars, for a sugar cookie is A; $0.54.

The mean is the average value which can be calculated by dividing the sum of observations by the number of observations

Mean = Sum of observations/the number of observations

WE know that Chocolate chip = $0.73

Double chocolate = $0.82

Oatmeal raisin = $0.70

Sugar = X

Butter pecan = $0.86

We need to find the  cost per cookie, in dollars, for a sugar cookie.

So, Mean = $0.73

Mean = 0.73 + 0.82 + 0.70+ X + 0.86 / 5

0.73 (5) =0.73 + 0.82 + 0.70+ X + 0.86

x = 0.54

Therefore, The cost per cookie, in dollars, for a sugar cookie is A; $0.54.

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Answer:

3

Step-by-step explanation:

Rearrange in the slope-intercept form :

Comparing this to the standard equation :

Answer:

The key features that are unique to the graphs of sequences and series are that they are discrete.

Explanation:

That means that the graph is not a continuous line or curve that joins all the points. On the contrary, the graph is a set of separated dots, because the values are valid only for specific points.

Answer:

10 ft to nearest foot.

Step-by-step explanation:

We use the Pythagoras theorem:

12^2 = 6^2 + h^2    where h is the height on the barn

h^2 = 12^2 - 6^2

h^2 = 144 - 36 = 102

h= √108 = 10.39

4/12 chance of dying

Answer:

Step-by-step explanation:

Answer:

75°

Step-by-step explanation:

Answer:

x = 90

Step-by-step explanation:

[tex]m\angle 1+m\angle 2=90[/tex]

[tex]\Longleftrightarrow x+\frac{x}{5} =90[/tex]

[tex]\Longleftrightarrow \frac{6x}{5} =90[/tex]

[tex]\Longleftrightarrow x=\frac{5\times 90}{6} =\frac{450}{6} = 75[/tex]

Step-by-step explanation:

the manufacturing costs are defined by

m(x) = 25x + 150

the selling revenue is defined by

s(x) = 50 + 30x = 30x + 50

clearly, the selling amount is bigger than the manufacturing amount (also supported by the fact that 30x > 25x). otherwise the company is going bankrupt in no time.

so,

a)

the profit is (as usual) revenue minus manufacturing :

p(x) = 30x + 50 - 25x - 150 = 5x - 100

b)

x = 150

p(150) = 5×150 - 100 = 750 - 100 = $650

since the result is positive, yes, they are making a profit. and it is $650.

Answer:

5.a) p = 5x - 100

b)p = $650

Step-by-step explanation:

5.a)

p - Profit

p - Profitc - Cost

p - Profitc - Cost - revenue

p = r - c

p = (30x + 50) - (25x + 150)

p = 5x - 100

b) The company will make profit.

p = 5x - 100

p = 5(150) - 100

p = 750 - 100

p = $650

or

p = (30×150 + 50) - (25 × 150 + 150)

p = $650

Answer:

a)  No, it does not matter whether you roll the die or flip the coin first, as these two events are independent of each other, which means they do not affect each other.

b) Yes.

The likelihood that any outcome will occur will not change, as the events are independent.

c) see attached

d)   12 outcomes  (H = head, T = tail, numbers represent the value of the die)

H 1           T 1

H 2          T 2

H 3          T 3

H 4          T 4

H 5          T 5

H 6          T 6

e)  

[tex]\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}[/tex]

[tex]\implies \sf P(even)=\dfrac{1}{6}+\dfrac{1}{6}+\dfrac{1}{6}=\dfrac{3}{6}=\dfrac{1}{2}[/tex]

[tex]\implies \sf P(head)=\dfrac{1}{2}[/tex]

[tex]\implies \sf P(even)\:and\:P(head)=\dfrac{1}{2} \times \dfrac{1}{2}=\dfrac{1}{4}[/tex]

Answer:

The total he would have to pay back would be $7,320.44

Step-by-step explanation:

(I'm assuming you want the total amount he needs to pay back)

6700 x 0.10 = 670 per year

670 ÷ 365 = 1.835616438356164

1.835616438356164 × 338 = 620.44

620.44 + 6700 = 7,320.44

Answer:

[tex] \\ \\ 90-60=30degree \\ \\ [/tex]

Answer:

15° and 75°

Step-by-step explanation:

The sum of the measures of complementary angles is 90.

Angle 1 measures x.

Angle 2 measures x + 60.

Their sum is 90.

x + x + 60 = 90

2x + 60 = 90

2x = 30

x = 15

x + 60 = 75

Answer: 15° and 75°

Answer:

it's either 42 If you add all the sides, or 1769472 if you multiple

Answer:

C

Step-by-step explanation:

8- 3.14159265359 = 4.85840734641.

or

8-pi = 4.85>5 which is incorrect.

Answer:

What Study Design method was used in the situation?

Scenario: A psychology professor is trying to determine if people in a heightened state of fear tend to have

negative views of society. The professor has 200 participants and divides them into groups based on both race

and gender. The professor then selects names from each group and places them into either the study group or

control group. The participants placed in the study group are shown scary movies then asked a series of

questions about how they feel about different societal issues. The participants placed in the control group are

asked how they feel about different societal issues.

A) Simulation

B) Experiment

C) Observational Study

D) Questionnaire

Answer:

A is the answer just you the process of elimination

Answer:

88°

Step-by-step explanation:

The triangle is an isosceles triangle, so two of the angles are both 46°. We also know that the sum of all the angles in any triangle is 180°, so we can set up the following equation:

46° + 46° + e = 180°

Solving this gets e = 88°.

Speed^2 or velocity^2 because 12x12=144

It's looks like the Kinetic energy equation:

KE = 1/2mv^2

Hope this helps!

Answer:

30 & 60°

Step-by-step explanation:

2x + X + 90 = 180

3x = 90

X = 30°

so the accute angles are 30° and 60°

[tex]~~~~~~x+80^{\circ} = 180^{\circ}\\\\\implies x = 180^{\circ} - 80^{\circ}\\\\\implies x = 100^{\circ}[/tex]

Answer:

Step-by-step explanation:

1 farmer is able to harvest 300 kg of potatoes in 5 hrs

Then

1 farmer is able to harvest (300×2 = 600) kg of potatoes in 10 hrs

therefore,

3 farmers are able to harvest (600×3 = 1800)kg of potatoes in 10 hrs

Answer:

Complementary angles means sum of angles must to 90 degrees.

Supplementary angles means sum of angles must be 180 degrees.

1.

10 degree + 65 degree = 75 degree

   10 degree + 65 degree ≠ 90 degree

So, 10-degree angle and a 65-degree angle are

not complementary angles.

2.

40 degree + 50 degree = 90 degree

So, 40-degree angle and a 50-degree angle are

complementary angles.

3.

140 degree + 40 degree = 180 degree

So, 140-degree angle and a 40-degree angle are

supplementary angles.

4.

120 degree + 60 degree = 180 degree

120 degree + 60 degree ≠ 90 degree

So,120-degree angle and a 60-degree angle are

not complementary angles

Answer:

the end by the finish line

Answer:

  see attached

Step-by-step explanation:

The graph of a linear equation can be drawn using any of several methods. Here, we are given the equation in standard form. We notice that the variable coefficients are both divisors of the constant, which means the x- and y-intercepts will be integer values. It will be convenient to draw the graph using those points.

__

The x-intercept is the x-value when y = 0.

  2x -0 = 10

  x = 10/2 = 5 . . . . . . (5, 0) is a point on the line

__

The y-intercept is the y-value when x = 0.

  0 -y = 10

  y = -10 . . . . . . . (0, -10) is a point on the line

__

The graph can be drawn by plotting these points and drawing the line through them. This is shown in the attachment.

Answer:

See Below

Step-by-step explanation:

Initial cost = $52

Markup for operating expenses = 34%

$52 + 34% = $52*1.34 = $69.68

Markup for profit = 6%

69.68 + 6% = 69.68*1.06 = 73.86 (rounded)

a) The selling price is $73.86

b) The reduced price is:

$73.86 - $25 = $48.86

c) The percent of markdown:

25/73.86*100% = 33.85% (rounded)

d) The absolute loss:

$69.68 - $48.86 = $20.82

Answer:

Center: (9, 4)

Radius: 20

Explanation:

(x - 9)² + (y - 4)² = 400

The Circle Formula:

(x - h)² + (y - k)² = r²

where (h, k) is center points, r is radius

Rewrite the equation:

(x - 9)² + (y - 4)² = 20²

Identify following:

h = 9, k = 4, radius = 20

Answer:

the value of cos is 26

k =14

j=30

Step-by-step explanation:

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