A restaurant offered cooking classes on 24 of the 30 days in November. What decimal is equivalent to the fraction of days in November that classes were offered at the restaurant? Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value.​

Answer:

\(BC=5.1\)

\(B=23^{\circ}\)

\(C=116^{\circ}\)

Step-by-step explanation:

The diagram shows triangle ABC, with two side measures and the included angle.

To find the measure of the third side, we can use the Law of Cosines.

\(\boxed{\begin{minipage}{6 cm}\underline{Law of Cosines} \\\\$c^2=a^2+b^2-2ab \cos C$\\\\where:\\ \phantom{ww}$\bullet$ $a, b$ and $c$ are the sides.\\ \phantom{ww}$\bullet$ $C$ is the angle opposite side $c$. \\\end{minipage}}\)

In this case, A is the angle, and BC is the side opposite angle A, so:

\(BC^2=AB^2+AC^2-2(AB)(AC) \cos A\)

Substitute the given side lengths and angle in the formula, and solve for BC:

\(BC^2=7^2+3^2-2(7)(3) \cos 41^{\circ}\)

\(BC^2=49+9-2(7)(3) \cos 41^{\circ}\)

\(BC^2=49+9-42\cos 41^{\circ}\)

\(BC^2=58-42\cos 41^{\circ}\)

\(BC=\sqrt{58-42\cos 41^{\circ}}\)

\(BC=5.12856682...\)

\(BC=5.1\; \sf (nearest\;tenth)\)

Now we have the length of all three sides of the triangle and one of the interior angles, we can use the Law of Sines to find the measures of angles B and C.

\(\boxed{\begin{minipage}{7.6 cm}\underline{Law of Sines} \\\\$\dfrac{\sin A}{a}=\dfrac{\sin B}{b}=\dfrac{\sin C}{c} $\\\\\\where:\\ \phantom{ww}$\bullet$ $A, B$ and $C$ are the angles. \\ \phantom{ww}$\bullet$ $a, b$ and $c$ are the sides opposite the angles.\\\end{minipage}}\)

In this case, side BC is opposite angle A, side AC is opposite angle B, and side AB is opposite angle C. Therefore:

\(\dfrac{\sin A}{BC}=\dfrac{\sin B}{AC}=\dfrac{\sin C}{AB}\)

Substitute the values of the sides and angle A into the formula and solve for the remaining angles.

\(\dfrac{\sin 41^{\circ}}{5.12856682...}=\dfrac{\sin B}{3}=\dfrac{\sin C}{7}\)

Therefore:

\(\dfrac{\sin B}{3}=\dfrac{\sin 41^{\circ}}{5.12856682...}\)

\(\sin B=\dfrac{3\sin 41^{\circ}}{5.12856682...}\)

\(B=\sin^{-1}\left(\dfrac{3\sin 41^{\circ}}{5.12856682...}\right)\)

\(B=22.5672442...^{\circ}\)

\(B=23^{\circ}\)

From the diagram, we can see that angle C is obtuse (it measures more than 90° but less than 180°). Therefore, we need to use sin(180° - C):

\(\dfrac{\sin (180^{\circ}-C)}{7}=\dfrac{\sin 41^{\circ}}{5.12856682...}\)

\(\sin (180^{\circ}-C)=\dfrac{7\sin 41^{\circ}}{5.12856682...}\)

\(180^{\circ}-C=\sin^{-1}\left(\dfrac{7\sin 41^{\circ}}{5.12856682...}\right)\)

\(180^{\circ}-C=63.5672442...^{\circ}\)

\(C=180^{\circ}-63.5672442...^{\circ}\)

\(C=116.432755...^{\circ}\)

\(C=116^{\circ}\)

\(\hrulefill\)

Additional notes:

I have used the exact measure of side BC in my calculations for angles B and C. However, the results will be the same (when rounded to the nearest degree), if you use the rounded measure of BC in your angle calculations.

Answer:

8,000

Step-by-step explanation:

the nearest thousand is 8,000 as it is past 7,500.

Hi!

Your answer will be: 8,000.

hope this helps!

Solution for the given System of linear equation is:

Simultaneous equations, system of equations Two or more equations in algebra must be solved jointly (i.e., the solution must satisfy all the equations in the system). The number of equations must match the number of unknowns for a system to have a singular solution.

There are four methods to solving systems of equations: graphing, substitution, elimination and matrices.

Given,  the system of linear equations on the left with its solution type on the right

For  Y=2x-1 and Y=2x+1

Adding both equation,  we will get y = 4x

Thus, these equations have infinite number of solution

For 2x - y = 7 and 3x + y = 3

Adding these equations

5x = 10

x= 2

Substitute the value in equation 1

y = -3

Thus, solution is (2, - 3)

therefore, the Solution for the given System of linear equation is:

Learn more about System of equation here:

https://brainly.com/question/12628931

#SPJ1

Complete question:

Answer:

At the time the ball was thrown, it was 8 feet above the ground.

h'(x) = -32x + 64 = 0, so x = 2

The ball reaches its maximum height after 2 seconds.

Answer:

b

Step-by-step explanation:

15.1.

181.2

Hope this helps.

Answer:

whats the question?

Step-by-step explanation:

Answer:

is this just to get free points cause you didint add your question?

Step-by-step explanation:

Answer:

is this what u wanted? if no can u write on paper what u wanted and send me

Answer: 4/13

Step-by-step explanation:

Number of cards in a deck = 52

Number of spades = 13

Number of aces = 4

Number of ace of spade = 1

Probability of either a spade or an ace :

P(spade or ace) = P(spade U ace)

P(spade U ace) = p(spade) + p(ace) - p(spade n ace)

Probability = required outcome / Total possible outcomes

P(spade) = 13 / 52

P(ace) = 4 / 52

P(spade n ace) = 1 / 52

P(spade U ace) = p(spade) + p(ace) - p(spade n ace)

= 13/52 + 4/52 - 1/52

= 16 / 52 = 4 /13

Answer:

three

Step-by-step explanation:

stem. is the tens place and the leaf is the. ones place

so you want to find 68 so you look in the stem column and look for six

in the row there are 6 numbers which mean:

60, 61, 67, 68, 68, 68

as you can see there is three 68 there for the answer ths 3

Answer:

Domain: A, \([2, \infty)\)

Range: A, \((-\infty, \infty)\)

Step-by-step explanation:

The domain is the set of x-values and the range is the set of y-values.

The main purpose of this paragraph is to inform the reader of a subject.

Reading paragraph is the ability to process text, understand its meaning, and to integrate with what the reader already knows.

Given is a passage, about an  American Screenwriter and author, Emest Cline,

The paragraph is telling about life of the author, telling about his works, the latest, first, the most successful works, his birthplace, etc. but every thing about him.

Simply, if we see, this tell us the information related to the subject who is Emest Cline,

Hence, the main purpose of this paragraph is to inform the reader of a subject.

Learn more about reading paragraphs, click;

https://brainly.com/question/28696560

#SPJ1

The number of bags for 350 blocks is 8.75 bags

From the question, we have the following parameters that can be used in our computation:

Bags of mortal = 2 and a 1/2 bags

Number of cements blocks = 100 blocks

The above parameters can be represented using the following ratio

Ratio = Bags of mortal : Number of cements blocks

Substitute the known values in the above equation, so, we have the following representation

Bags of mortal : Number of cements blocks = 2 and a 1/2 bags : 100 blocks

When the number of blocks is 350, we have the following equation

Bags of mortal : 350 = 2 and a 1/2 bags : 100 blocks

Express the ratio as fraction

Bags of mortal/350 = 2.5/100

Multiply both sides by 350

Bags of mortal = 350 * 2.5/100

Evaluate the products

Bags of mortal = 8.75

Hence, the number of bags is 8.75

Read more about ratio at

https://brainly.com/question/2328454

#SPJ1

Answer:

382.85

Sig Figs

   5

   382.85

Decimals

   2

   382.85

Scientific Notation

   3.8285 × 10^2

E-Notation

   3.8285e+2

Words

   three hundred eighty-two point eight five

Step-by-step explanation:

La edad actual de José es de 30 años.

Para resolver este problema, primero debemos establecer ecuaciones basadas en la información proporcionada. Llamemos "x" a la edad actual de José y "y" a la edad actual de Ana. Según la primera condición, la edad de Ana es la mitad de la edad de José, por lo que podemos escribir la ecuación: y = (1/2)x.

La segunda condición nos dice que dentro de 10 años, sus edades serán dos tercios de sus edades actuales. Esto se puede expresar como: (x + 10) * (2/3) = y + 10.

Reemplazando el valor de y en la segunda ecuación con la primera ecuación, obtenemos: (x + 10) * (2/3) = (1/2)x + 10.

Resolviendo esta ecuación, podemos simplificarla y llegar a: 2(x + 10) = 3[(1/2)x + 10].

Al resolver la ecuación resultante, encontramos que x = 30.

For more such questions on edad

https://brainly.com/question/32183547

#SPJ8

Answer:

1/2

Step-by-step explanation:

Combine the fractions by finding a common denominator.

2/2-1/2=1/2

1/2+1/2=2/2

Answer:

Extract form- 1/2

Decimals- 0.5

Step-by-step explanation:

Answer : 8$

you have 1$ left

Answer: The total distance covered by the car is 331 9/16 km.

Step-by-step explanation:

We know that, speed= distance/time taken

Therefore, distance = speed x time taken

= 132 5/8 x 2 1/2

= 5/2 x 1061/8

= 5305/16

= 331 9/16 km

Therefore, total distance is 331 9/16 km.

Read more about the calculations of Distance,

https://brainly.com/question/51872423

Answer:

\(it \: has \: \boxed{ nine} \: sides\)

Answer: it acctually has 10 sides

Step-by-step explanation:

Answer:

Homeowners insurance

Step-by-step explanation:

Homeowners insurance is designed to protect your home from what are called "perils." A peril is your exposure to risk or something that causes loss or destruction. … Homeowners 2 (HO2): This policy protects your property against 18 perils (including 11 perils from Homeowners 1). Typical homeowners insurance policies offer coverage for damage caused by fires, lightning strikes, windstorms and hail. But, it's important to know that not all natural disasters are covered by homeowners insurance. For example, damage caused by earthquakes and floods are not typically covered by homeowners insurance.

Answer:

1/13

Step-by-step explanation:

If there are 4 suits in a deck of cards, there are only 4 aces inside a complete deck. That means the probability of drawing an ace is 4/52 and just simply simplify the answer to 1/13. (4/52, 2/26, 1/13) Hope that helps!

Answer:

-4

Step-by-step explanation:

-4/3÷2/-6

⇒ -4/3×-6/2

⇒ -24/6

⇒ -4

The graph of function y = |x| - 2 by translating the parent function is shown in image.

We have to given that;

Function is,

⇒ y = |x| - 2

Now, We can formulate;

Since, Function is,

⇒ y = |x| - 2

It is translation of parent function y = |x| by 2 units down.

Thus, The graph of function y = |x| - 2 by translating the parent function is shown in image.

Learn more about the transformation visit:

https://brainly.com/question/30097107

#SPJ1

Answer:

Expression : $462.30 * m

The missing fourth vertex needed to create a rectangle is (25, 3) option D.

Vertices (singular: vertex) are the corners or points where two or more lines, edges, or curves intersect and form an angle.

Here, the width of one side of the rectangle;

⇒ +3 - (-6) = 9 unit                (left side y-coordinates)

Similarly the length of the rectangle;

⇒ 25 - (-15) = 40 unit             (up-side x-coordinates)

Since a rectangular shape has two sets of equal sides of equivalent width (y-coordinates) and length (x-coordinates), we realize that the missing fourth vertex should be 9 units and 40 units over the point (25, -6). and (-15, 3)

So, we add 9 to the y-coordinate of (25, -6) and add 40 to the x-coordinate of (-15, 3) to get the missing vertex:

⇒ (25, -6+9) = (25, 3)

⇒ (-15+40, 3) = (25, 3)

Therefore, the missing fourth vertex is (25, 3)

To know more about vertices, visit:
https://brainly.com/question/28278527
#SPJ1

Without seeing the graph of the linear function, it is impossible to determine if Tom's answer of 12 is correct or incorrect. However, it is important to understand the concept of slope and how it is calculated for a linear function.

The slope of a linear function represents the rate at which the y-coordinate changes for each unit increase in the x-coordinate. In other words, it measures the steepness of the line. Mathematically, the slope of a line is defined as the ratio of the change in the y-coordinate to the change in the x-coordinate between any two points on the line.

To calculate the slope of a line given its graph, one can choose any two points on the line and find the difference in their y-coordinates and x-coordinates. The slope is then the ratio of the change in y-coordinates to the change in x-coordinates. This can be expressed as:

slope = (change in y-coordinate) / (change in x-coordinate)

Now, if Tom has correctly identified two points on the line and calculated the difference in their y-coordinates and x-coordinates, and if he has obtained a ratio of 12 for the change in y-coordinate to the change in x-coordinate, then his answer of 12 for the slope would be correct.

However, it is also possible that Tom made an error in his calculation, or that he misread the graph, and obtained an incorrect answer. Therefore, it would be necessary to verify his calculations by checking the points he used and the formula he applied.

In conclusion, without further information about the graph of the linear function and the points chosen by Tom to calculate the slope, it is impossible to determine if his answer of 12 is correct or incorrect.

To learn more about liner function  click:

https://brainly.com/question/2248255

#SPJ1

Answer:

$3,928.59

Step-by-step explanation:

To find the balance in the account after 6 years with a principal of $3500, earning compound interest at a rate of 2.29% compounded monthly, we can use the formula for compound interest:

A = P * (1 + r/n)^(n*t)

Where:

A = the final balance in the account

P = the principal amount (initial deposit) = $3500

r = the annual interest rate (as a decimal) = 2.29% = 0.0229

n = the number of times interest is compounded per year = 12 (monthly compounding)

t = the number of years = 6

Plugging in these values, we can calculate the balance:

A = 3500 * (1 + 0.0229/12)^(12*6)

A = 3500 * (1.0019083)^(72)

A ≈ $3,928.59

So, the balance in the account after 6 years, with a principal of $3500, earning compound interest at a rate of 2.29% compounded monthly, would be approximately $3,928.59.

Answer:

d

Step-by-step explanation:

system of linear equation in two variable

but is it x^2???

Answer:

only integers and fractions of decimal expansions

Step-by-step explanation:

All real numbers have decimal expansions is the true statement.

A number system is defined as a system of writing to express numbers.

All real numbers have decimal expansions.

This is because every real number can be represented as a decimal expansion, which may either terminate or repeat indefinitely

Any real number can be represented as a unique decimal expansion, but some decimal expansions may not terminate or repeat indefinitely.

The other statements are false. Fractions and integers are subsets of the set of real numbers, so if all real numbers have decimal expansions, then so do fractions and integers.

Hence, All real numbers have decimal expansions is the true statement.

To learn more on Number system click:

https://brainly.com/question/22046046

#SPJ3

A) The function that represents the average of the class is;

y = 65(1.011)^(x)

B) The average of the class after one week will be expressed as;

y = 70.17

The general formula for the nth term of a exponential function is;

y = ab^(x)

where;

a is initial amount

b is growth factor

x is the amount of periods being considered

Now, we are told that the initial score for the exam was 65. Thus;

a = 65

The growth factor is 1.1% and this is; b = 1.011

Thus, the function that represents the average of the class is;

y = 65(1.011)^(x)

The average of the class after one week will be expressed as;

y = 65(1.011)^(7)

y = 70.17

Read more about exponential growth function at; https://brainly.com/question/27161222

#SPJ1