. In a state with a sales tax rate of 6%,
Alex bought paper for his printer for
$17.99. How much was his sales tax
to the nearest penny?

Answer:

[tex]a. \: \: x = {60}^{o} [/tex]

[tex]b. \: \: x = {24}^{o} [/tex]

Step-by-step explanation:

Sum of angles = 180°

[tex]a. \: \: {x}^{o} + {40}^{o} + {80}^{o} = {180}^{o} [/tex]

[tex] {x}^{o} + {120}^{o} = {180}^{o} [/tex]

[tex] {x}^{o} = {180}^{o} - {120}^{o} [/tex]

[tex] {x}^{o} = {60}^{o} [/tex]

[tex]b. \: 96+(x+12)+2x=180[/tex]

[tex]x+108+2x=180[/tex]

[tex]3x+108=180[/tex]

[tex]3x=180−108[/tex]

[tex]3x=72[/tex]

[tex]x = 24[/tex]

Answer:

axis of symmetry , x = 0

Step-by-step explanation:

For the quadratic equation of the form [tex]ax^2 + bx + c[/tex],

the axis of symmetry is the straight line  [tex]x =- \frac{b}{2a}[/tex]

( i)  Given equation y = ax² + 0x + 0

     b = 0, therefore axis of symmetry is x = 0

( ii ) Second equation y = ax² + 0x + c

    b = 0, therefore axis of symmetry is x = 0

Given:

[tex]m\angle ACD=45^\circ[/tex]

Point B is the center of the base.

Each side of the base = 10 cm

To find:

The height of the pyramid.

Solution:

It is given that the measure of each side of the base is 10 cm. It means the base is square. The length of the diagonal of a square is:

[tex]d=a\sqrt{2}[/tex]

Where, a is the side length of the square.

Putting [tex]a=10[/tex] in the above formula, we get

[tex]d=10\sqrt{2}[/tex]

It is given that point B is the center of the base. It means point B bisect each diagonal of a base. So,

[tex]BC=\dfrac{d}{2}[/tex]

[tex]BC=\dfrac{10\sqrt{2}}{2}[/tex]

[tex]BC=5\sqrt{2}[/tex]

In a right angle triangle,

[tex]\tan \theta=\dfrac{Perpendicular}{Base}[/tex]

In triangle ABC,

[tex]\tan (45^\circ)=\dfrac{AB}{BC}[/tex]

[tex]1=\dfrac{h}{5\sqrt{2}}[/tex]

[tex]5\sqrt{2}=h[/tex]

[tex]7.0710678=h[/tex]

Round the value to the nearest integer.

[tex]h\approx 7[/tex]

The height of the pyramid is about 7 cm. Therefore, the correct option is A.

Answer:

74.8925767 rounded to 75

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

no

Answer:

5.036 km

Step-by-step explanation:

36  m ÷ 1000  = 0.036 km

5 km + 0.036 km = 5.036 km

Answer:

Step-by-step explanation:

sin A = opposite/hypotenuse

=5/13

cos A =adjacent/hypotenuse

=12/13

tan A =opposite/adjacent

=5/12

cosec A = hypotenuse/opposite

=13/5

sec A = hypotenuse/adjacent

=12/5

cot A = adjacent/opposite

=12/5

Answer:

i got -2

Step-by-step explanation:

1 step; 8*x-5-(11)=0

2 step; 8x - 16  =   8 • (x - 2)

3 step;  Solve :    8   =  0

4 step; Solve  :    x-2 = 0

final part  Add  2  to both sides of the equation :  

                     x = 2

Answer:

1/27

Explanation:-

(1/3)^3=(1x1x1)/(3x3x3)=1/27

Answer:

0.03703703703 or

                                                                                                                                 ²/27

sorry i am late but still hope I helped

Step-by-step explanation:

Answer:

maybe it is corresponding

Answer:

A

Step-by-step explanation:

Using the Sine rule in Δ ABC

∠ B = 180° - (30 + 50)° = 180° - 80° = 100° ( sum of angles in triangle ) , then

[tex]\frac{13}{sin100}[/tex] = [tex]\frac{BC}{sin30}[/tex] ( cross- multiply )

BC × sin100° = 13 × sin30° ( divide both sides by sin100° )

BC = [tex]\frac{13sin30}{sin100}[/tex] ≈ 6.6 ( to the nearest tenth )

Answer:

7×5 4×5 777⁷7777777777×7

Answer:

it is called factors

Step-by-step explanation:

Answer:

48 length units

Step-by-step explanation:

area of each squre = 9

side length of each square = sqrt(9) = 3

Length of each side of grid = 4*3 = 12

Perimeter of grid = 4 sides = 4*12 = 48 length units

Answer:

x=35

Step-by-step explanation:

because the angles are next to each other they are supplementary, which makes the total of the angle 180 degrees.

the equation would be:

180=x+14 +4x -9

add the like terms

180=5x =5

then subtract 5 from both sides

175=5x

then divide five from both sides

x=35

Answer:

Future Value= $17,170.12

Step-by-step explanation:

Giving the following information:

Monthly deposit (A)= $70

Interest rate (i)= 0.04/12= 0.0033

Number of periods (n)= 15*12= 180 months

To calculate the future value (amount saved), we need to use the following formula:

FV= {A*[(1+i)^n-1]}/i

A= monthly deposit

FV= {70*[(1.0033^180) - 1]} / 0.0033

FV= $17,170.12

Answer:

A) y=3cos(-x)

Step-by-step explanation:

Because the amplitude of the graph is 3, this eliminates options C and D as their amplitudes are different. With the period of the graph being 2π, B cannot be correct because that would have a period of π/2. Therefore, A is correct.

Answer:

Jaden would have to save $25 each week for next 6 weeks to get the $290 bike.

Step-by-step explanation:

What do we know:

What are we solving for;

Equation would be:

So for Jaden to buy a $290 bike, y would have to be replaced with 290, and solve for x;

=> 290 = 25x + 140

=> 290 - 140 = 25x

=> 150 = 25x

=> 150 / 25 = x

=> 6 = x

Therefore, Jaden would have to save $25 each week for next 6 weeks to get the $290 bike.

Hope this help!

Answer:

Para encontrar la mediana: Organice los puntos de datos de menor a mayor. Si el número de puntos de datos es impar, la mediana es el punto de datos intermedio de la lista. Si el número de puntos de datos es par, la mediana es el promedio de los dos puntos de datos intermedios de la lista.

Step-by-step explanation:

que tenga un lindo día

The graph A , graph C, could not possibly be density curves for a continuous random variable is they were provided with the right scale.

Given four graphs of different nature as options.

We are required to find the graph that is not continuous variable.

Continuous lines are those lines which when decreases, decreases with continuity and when increases,increases with continuity.

When we observe the graph A,graph C. In these graphs the value of function keeps increasing and decreasing a lot and not in continuity.

Hence graph A, graph C could not possibly be density curves for a continuous random variable is they were provided with the right scale.

Learn more about continuity at https://brainly.com/question/24637240

#SPJ1

Answer:

The answer is A, D, and E.

Step-by-step explanation:

Answer:

The slope is -1 and the y-intercept is -1 ?

[tex]slope = \frac{ - 6 - 1}{5 - ( - 2)} \\ = \frac{ - 7}{7} \\ = - 1 \\ y - intercept : \\ y = mx + c \\ 1 = ( - 1 \times - 2) + c \\ c = - 1 \\ [/tex]

Answer:

slope -1 and y intercept is -1

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

becaus ei did

Answer:

x = 82°

Step-by-step explanation:

The opposite angles of a cyclic quadrilateral are supplementary, sum to 180°

x + 98° = 180° ( subtract 98° from both sides )

x = 82°

Answer:

Step-by-step explanation:

By using regression line calculator,

Equation of the line of best fit,

c). y = 0.74x + 0.03

Here, x = Number of pints

y = Weight in pounds

d). We have to find the weight of 10 pints of the blueberries,

By substituting x = 10 in the equation,

y = 0.74(10) + 0.03

y = 7.4 + 0.03

y = 7.43 pounds

e). If per pound cost of the blueberries = $2.25

By substituting y = 2.25 in the equation,

2.25 = 0.74x + 0.03

x = [tex]\frac{2.22}{0.74}[/tex]

x = $3.00 per pound

Therefore, cost of 10 pounds blueberries = 3 × 10

                                                                     = $30

Answer:

106 items

Step-by-step explanation:

We are actually finding the "break even" point, where revenue = costs.

Set the revenue 7.5x - 100 equal to the costs 79.86 + 5.8x:

7.5x - 100 = 79.86 + 5.8x

Group the x terms together:    

1.7x  - 100  =  79.86

and then group the constants together on the right side:

  1.7x = 179.86

Solving for x, we get 105.8 (items)

Round this up:  106 items

The company will begin making a profit as production passes 106 items.

Answer:

first one : 7.5x -100 > 79.86 + 5.8x

second one : x > 105.8

last one : 106

Step-by-step explanation:

Answer:

This becomes way easier if you have the knowledge of inverse functions.

Let me make this clear. You have f(x)=x2+1 f(x)=x2+1 and g(f(x))=1/(x2+4)g(f(x))=1/(x2+4). Now pause and think about the second function. The function is defined as g(f(x))g(f(x)), right. now what if there is some way that you could manipulate this function and some how change it to g(x)g(x). Or think about with what other function should you multiply f(x)f(x) [the function in g(f(x))g(f(x)) ] to get xx [so that the function would be g(x)g(x)]. It is f(x)−1f(x)−1 right.

So let us find f(x)f(x) inverse. f(x)=x2+1f(x)=x2+1 then f(x)−1=x−1−−−−−√f(x)−1=x−1 right [ just swipe the xx with f(x)

Answer:

32780

Step-by-step explanation:

Answer:

32,780

Step-by-step explanation:

It should be 30,000

Answer:

910 millibars

Step-by-step explanation:

According to the Question,

Now, the air pressure at the center of a hurricane when the mean sustained wind velocity is 64 m/s is

[tex]64=6.3*\sqrt{1013-p}\\\frac{64}{6.3} = \sqrt{1013-p}\\[/tex]

on squaring both sides we get,

(10.1587)² = 1012 - p  ⇒ p = 908.80≈910millibar

p = 910millibars air pressure .

Answer: 910

Step-by-step explanation: Did the review and got it right