**Solution**

We want to find the area of the triangle given te sides

b = 20

a = 29

c = 21

**Note: Hero formula for calculating the Area of a Triangle**

We will first find S

[tex]\begin{gathered} S=\frac{a+b+c}{2} \\ S=\frac{29+20+21}{2} \\ S=35 \end{gathered}[/tex]To find the Area

[tex]\begin{gathered} Area=\sqrt[]{S(S-a)(S-b)(S-c)} \\ Area=\sqrt[]{35(35-29)(35-20)(35-21)} \\ Area=\sqrt[]{35\times6\times15\times14} \\ Area=\sqrt[]{44100} \\ Area=210 \end{gathered}[/tex]**Therefore, the area is**

what is a four sided shape that has two parallel sides: can be cut into two triangles with a diagonal line through opposite corners?

The four sided shape that has two **parallel sides**: can be cut into two triangles with a diagonal line through opposite corners is a **parallelogram**.

A **parallelogram** is a simple **quadrilateral** with two pairs of parallel sides in Euclidean geometry. A parallelogram's opposite or facing sides are of equal length, and its opposite angles are of equal measure.

The **parallelogram** is divided into two congruent triangles by each diagonal. The total of the squares of a parallelogram's sides equals the sum of the squares of its **diagonals**. It is also known as parallelogram law.

A **parallelogram** is a two-dimensional geometrical shape with two parallel sides. It is a four-sided polygon (sometimes known as a quadrilateral) with parallel sides that are equal in length. The **sum** of a parallelogram's neighboring angles equals 180 degrees.

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Use Tools Telegraphs were used to send messages before the

telephone was invented. A telegraph operator could interpret about

40 words sent in Morse code per minute. Approximately how many words

sent in Morse code could the operator interpret in 12.5 seconds? State

what strategy and tool you will use to answer the question, explain your

choice, and then find the answer.

**Answer:**

stuff and more stuff

**Step-by-step explanation:**

At a carnival it costs $34.92 for 12 tickets. Write an equation that can be used to express the relationship between the total cost (t) and the number of tickets(n) you buy.

The equation that can be used to express the relationship between **total cost **and **tickets **is t = $2.91n.

The first step is to determine the cost of one **ticket. **The cost of one **ticket **can be determined by dividing the total cost of the ticket by the total number of tickets. **Division **is the operation that is used to determine the quotient of two or more numbers.

Cost of one **ticket ** = $34.92 / 12 = $2.91

The **equation **that can be used to determine the **total cost **would have this form:

Total cost = cost per ticket x number of tickets

t = $2.91 x n

t = $2.91n

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solve for t

275,000 = 300 1-(1 + .038/12 ) ^(-12t)/(.038/12)

**Mathematical expressions **consist of at least two numbers or variables, at least one **arithmetic operation**, and a statement.

The value of t exists [tex]$t=-\frac{\ln \left(\frac{12781}{6}\right)}{12 \ln \left(\frac{12.038}{12}\right)}$$[/tex].

What is meant by an expression?**Mathematical expressions **consist of at least two numbers or variables, at least one **arithmetic operation**, and a statement. It's possible to multiply, divide, add, or subtract with this **mathematical operation**. Expressions have the following structure: (Number/variable, Math Operator, Number/variable).

Given: [tex]$275000=\frac{3001-\left(1+\frac{0.038}{12}\right)^{(-12 t)}}{\left(\frac{0.038}{12}\right)}$$[/tex]

**Multiply **both sides by 0.038 / 12, we get

[tex]$275000 \cdot \frac{0.038}{12}=\frac{3001-\left(1+\frac{0.038}{12}\right)^{-12 t}}{\frac{0.038}{12}} \cdot \frac{0.038}{12}$$[/tex]

Simplifying the above equation, we get

[tex]$\frac{5225}{6}=3001-\left(1+\frac{0.038}{12}\right)^{-12 t}$$[/tex]

Add [tex]$\left(1+\frac{0.038}{12}\right)^{-12 t}$[/tex] to both sides

[tex]$\frac{5225}{6}+\left(1+\frac{0.038}{12}\right)^{-12 t}=3001-\left(1+\frac{0.038}{12}\right)^{-12 t}+\left(1+\frac{0.038}{12}\right)^{-12 t}$$[/tex]

Simplifying the above equation, we get

[tex]$\frac{5225}{6}+\left(1+\frac{0.038}{12}\right)^{-12 t}=3001$$[/tex]

**Subtract **5225 / 6 from both sides

[tex]$\frac{5225}{6}+\left(1+\frac{0.038}{12}\right)^{-12 t}-\frac{5225}{6}=3001-\frac{5225}{6}$$[/tex]

Simplify

[tex]$\left(1+\frac{0.038}{12}\right)^{-12 t}=\frac{12781}{6}$$[/tex]

By using **exponent rules**, we get

[tex]$-12 t \ln \left(1+\frac{0.038}{12}\right)=\ln \left(\frac{12781}{6}\right)$$[/tex]

Solve [tex]$-12 t \ln \left(1+\frac{0.038}{12}\right)=\ln \left(\frac{12781}{6}\right): \quad t=-\frac{\ln \left(\frac{12781}{6}\right)}{12 \ln \left(\frac{12.038}{12}\right)}$[/tex]

[tex]$t=-\frac{\ln \left(\frac{12781}{6}\right)}{12 \ln \left(\frac{12.038}{12}\right)}$$[/tex]

Therefore, the **value **of t exists [tex]$t=-\frac{\ln \left(\frac{12781}{6}\right)}{12 \ln \left(\frac{12.038}{12}\right)}$$[/tex].

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x = 8.27 rounded to the nearest tenth

**Answer:**

x = 8.3

**Step-by-step explanation:**

We look at the final place of the decimal to round, in this case the thousandths place (underlined)

8.27

If the final place of the decimal is greater than or equal to 5, we round up the decimal to the left, otherwise we round down.

Because 7 > 5, round 2 up to 3, therefore giving **8.3**

**Answer:**

Your answer is 8.3!

**Step-by-step explanation:**

Step 1: Locate and underline the tenths place (2) then look at the digit to the right (7):

8.27

Step 2: In this case, the digit to the right (7) is 5 or above. So, we add 1 to the tenth place (2). The digit(s) after the (2) are replaced by zeros (or dropped). Thus, we get 8.3 as the answer.

In short: 8.27 rounded to the nearest tenth is 8.3.

suppose that a current recipe yields 30 servings (2 ounces each) and the desired recipe yields 30 servings (5 ounces each). what is the recipe conversion factor?\

Conversion factor [tex]= \frac{final serving}{initialserving}[/tex][tex]=\frac{5}{2} =2.5[/tex]

**The recipe conversion factor is 2.5**

(9x-26) (4x+43) (2x-12)

The value of the **expression **given as (9x-26) (4x+43) (2x-12) is 72x³ + 134x² -5642x + 13416

From the question, the **expression **is given as

(9x-26) (4x+43) (2x-12)

Next, we **evaluate **the expression in **pairs**

So, we have

(9x-26) (4x+43) (2x-12) = (9x-26) (4x+43) (2x-12)

Evaluate the first **two factors**

So, we have

(9x-26) (4x+43) (2x-12) = (36x² + 387x - 104x - 1118) (2x-12)

Evaluate the like terms in the expression

So, we have

(9x-26) (4x+43) (2x-12) = (36x² + 283x - 1118) (2x-12)

Evaluate the first **two factors**

So, we have

(9x-26) (4x+43) (2x-12) = (72x³ - 432x² + 566x² - 3396x - 2246x + 13416)

Evaluate the like terms

So, we have

(9x-26) (4x+43) (2x-12) = (72x³ + 134x² -5642x + 13416)

Remove the bracket

(9x-26) (4x+43) (2x-12) = 72x³ + 134x² -5642x + 13416

Hence, the **solution **is 72x³ + 134x² -5642x + 13416

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When 6 times a number is increased by 11 the result is 16 less than 9 times the number. Find the number

**Answer:**

The number is 9

**Step-by-step explanation:**

6n + 11 = 9n -16 Subtract 6n from both sides of the equation

11 = 3x -16 Add 16 to both sides of the equation

27 = 3n Divide both sides of the equation by 3

9 = n

A box is in the shape of a right rectangular prism made from cardboard has dimensions of 18 inches, by 12 inches, by 8 inches, as shown in the diagram below. find the volume of the box and show your calculations and use appropriate units

**Volume of the rectangular prism = 1,728 in³**

**Volume of the rectangular prism = width × height × length**

width = 12 in

length = 18 in

height = 8 in

Volume of the rectangular prism = 12 in × 8 in × 18 in

**Volume of the rectangular prism = 1,728 in³**

8. Find the value of x if xsin45º. cos45°. tan60° = tan² 45° - cos²60⁰

The study of the correlations between triangles' side lengths and angles is known as **trigonometry**. x= 0.11

The study of the correlations between triangles' side lengths and angles is known as **trigonometry**. The field was created in Hellenistic era in the third century BC as a result of the use of geometry in astronomical research. While Indian **mathematicians **produced the earliest tables of values for **trigonometric ratios** (also known as trigonometric functions), such as sine, the Greeks concentrated on chord calculation.

Trigonometry has been used historically in the fields like geodesy, surveying, celestial mechanics, and navigation.

Trigonometry has a wide variety of identities. In order to simplify an expression, identify a more practical version of an expression, or solve an equation, **trigonometric identities** are frequently employed to rewrite **trigonometrical expressions**.

xsin45º. cos45°. tan60° = tan² 45° - cos²60⁰

x0.7*0.70*1.73 =1*1-0.5*0.5

x = [tex]\frac{0.7*0.70*1.73}{1*1 - 0.5*0.5}[/tex] = 0.11

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PLEASE HELPPPPP

Which graph represents the same relation as the set

♦

5

4

3

2-

1

--5-4-3-2-1₁ 1 2 3 45

-2+

-3

4 9

st²

•

t{(-3,2).(5.5).(3.3).(3.-2)}?

X

**Answer: I think it’s t{(-3,2).(5.5).(3.3).(3.-2)}**

**Step-by-step explanation:**

Eyesight is key m’lady

The first **graph** represents the same **relation** as the set {(-3,2).(5.5).(3.3).(3.-2)}

Graph is a mathematical representation of a **network** and it describes the relationship between lines and points.

The given **relation** is {(-3,2).(5.5).(3.3).(3.-2)}

We have to find the graph which represents the relation of the set

A binary relation on a set may, or may not, hold between two given set members.

The first number in the **ordered** **pair** represents the x coordiantes

The second number in the ordered pair represents the y coordiantes

When we match the ordered pairs with the given graphs

The first graph matches with the given **relation**

Hence, the first **graph** represents the same relation as the set {(-3,2).(5.5).(3.3).(3.-2)}

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help !

Select the correct answer.

What is the measure of an angle that is the complement of angle R? R 80

**Answer: B: 10**

**Step-by-step explanation:**

complementary angles are two angles that add up to 90 degrees

seven distinct pieces of candy are to be distributed among three bags. the red bag and the blue bag must each receive at least one piece of candy; the white bag may remain empty. how many arrangements are possible?

Using **combination**, there are 1932 arrangments possible.

A **combination** is a mathematical approach that counts the number of potential configurations in a box containing objects, regardless of their order.

In combinations, we can select items in any order. In combinations, the **order** doesn’t matter.

The combination formula of given as: n! / r!(n-r)!

Each candy would be distributed in three different ways if there were no limits on how many candies might fit in a bag. 3⁷ different ways to distribute the sweets in this scenario. However, only empty blue and red bags count in this scenario.

There are 2⁷ methods to distribute candy if the red bag is left empty.

Similarly, for the** blue bag**.

Hence there are 2⁷ +2⁷ – 1 ways to distribute candy such that either blue or red bag is empty.

The total amount of circumstances and ways to deliver the sweets

= 3⁷ – (2⁷ + 2⁷ -1)

= 1932

Therefore, there are a total of 1932 **arrangements** possible.

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is -1/3-4/5 positive,negative,or zero

The **fraction expression **given as -1/3-4/5 is a negative number

The **fraction expression **is given as

-1/3 - 4/5

From the above **expression**, we observe that:

The sum of two **negative numbers **will result in another negative number

This means that the value of -1/3 - 4/5 is a **negative **expression

Solving further, we have:

-1/3 - 4/5

Evaluate the expression

-1/3 - 4/5 = -17/15

See that 17/15 is **negative**

Hence, -1/3 - 4/5 is **negative**

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a computer password is required to be 8 characters long. how many passwords are possible if the password requires 1 letter(s) followed by 7 digits (numbers 0-9), where no repetition of any letter or digit is allowed?

There will be 15724800 computer passwords possible with 1 letter followed by 7 digits without any **repetition** of letters or digits.

It is given to us that -

A computer **password** is required to be 8 **characters** long

The computer password requires 1 letter(s) followed by 7 **digits**

The 7 digits are from numbers 0-9.

It is also mentioned that there will be no repetition of any **letter** or digit

We know that,

The total number of English **alphabets** = 26 (from a-z)

The total number of digits = 10 (from 0-9)

Since it is given that the computer password has

1 letter followed by 7 digits without any **repetition** of any letters or digits

So, the number of computer passwords that are possible can be -

[tex]26*10*9*8*7*6*5*4\\= 15724800[/tex] (1 letter and 7 digits with no repetition)

Thus, 15724800 computer passwords are possible that contains 1 letter followed by 7 digits where no repetition of any letter or digit is allowed.

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Exit ticket: Joehamster eats 12 muffin morsels every sixth day, 24 celery sticks every 8th oday, and 18 cookies every 10th day. After how many days will he eat all three food items on the same day?

In order to calculate after how many days all three food items will be eaten in the same day, we need to calculate the least common multiple (LCM) between the periods of 6 days, 8 days and 10 days.

First, let's factorize each number:

[tex]\begin{gathered} 6\to2\cdot3 \\ 8\to2\cdot2\cdot2 \\ 10\to2\cdot5 \end{gathered}[/tex]Then, let's multiply the factors using the maximum number of time they appear in a number, that is, number 2 three times, number 3 one time and number 5 one time:

[tex]2\cdot2\cdot2\cdot3\cdot5=120[/tex]So **after 120 days all three food items will be eaten on the same day.**

Percents

Progress:

The movement of the progress bar may be uneven because questions can be worth more or less (including zero) depending on your and

Solve this problem, and identify the percent, amount, and base.

What percent of 60 is 45?

O Percent = 75, Amount = 60, Base = 45

O Percent = 45, Amount =27, Base = 60

O Percent = 75, Amount = 45, Base = 60

Percent 60, Amount = 27, Base = 45

Submit

Hold

The correct option is- **Percent** = 75, Amount = 45, Base = 60 for the movement of the **progress bar**.

For the given question,

The movement of the** progress bar **could be uneven due to questions can be worth more or less (including zero) due-

The amount of something is stated in terms of a** fraction **of a hundred. The ratio can be expressed as a fraction of 100.

Base = 60 and the Amount is the 45.

Let the % will be x;

x% of 60 =45

60x =45

x=45/60

x=0.75

To obtain the percentage value, multiply it by 100 as follows:

% x = 0.75 × 100

% x = 75

Thus, the** percentage **of 60 is 45 will become 75%.

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Find the slope and y-intercept of the following equations :

3x-4y = 12

slope is 3/4x & y intercept is -3. in slope intercept form the equation will be y=3/4x-3

What is -8.64 / -0.024?

Let's first write both numbers in their fraction form:

[tex]\begin{gathered} -8.64=-\frac{864}{100} \\ -0.024=-\frac{24}{1000} \end{gathered}[/tex]then, we can write the division like this:

[tex]-8.64\frac{\cdot}{\cdot}-0.024=-\frac{864}{100}\frac{\cdot}{\cdot}(-\frac{24}{1000})[/tex]Now, given the general rule for the division of fractions, we have:

[tex]\begin{gathered} \frac{a}{b}\frac{\cdot}{\cdot}\frac{c}{d}=\frac{a\cdot d}{b\cdot c} \\ b,d\ne0 \end{gathered}[/tex]also notice that we are dividing two negative numbers, then our final result will be positive according to the law of signs. Then, we have in this case:

[tex]-\frac{864}{100}\frac{\cdot}{\cdot}(-\frac{24}{1000})=\frac{864\cdot1000}{24\cdot100}=\frac{864\cdot10}{24}=\frac{8640}{24}=360[/tex]**therefore the final result is 360**

Solve the equation 3 sinx+3 = 1 for 0°

The value of x after solving the **equation **3sinx+3 = 1 for 0° is -46.455.

First, take the equation 3sinx+3 = 1. This is a first order **linear equation** with a single variable, x. To solve this equation find the value of x.

First subtract three from both LHS and RHS part. The equation becomes

3sinx+3-3 = 1-3,

which is equal to,

3sinx = -2. now divide both LHS and RHS by 3 and the equation becomes, (3sinx)÷3 = -2÷3 solving this we get the equation as sinx = -2÷3.

now take the sine to the LHS we get the equation as,

x = [tex]sin^{-1}[/tex](-2÷3)

so by solving this, the final answer for x is,

x = -46.455

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Characterize the slope of the line in the graph

A. Positive

B. Negative

C. Zero

D. Undefined

The** slope **of the line in the graph is **undefined**.

The line in the graph is a straight vertical line whose **slope** can be found.

The characteristics of a vertical line can be used to find the **slope **of the vertical line given.

A vertical line has same x-co-ordinate but will have different y-co-ordinates.

**Slope **of a line is the change in y-co-ordinates divided by change in x-co-ordinates.

That is, **slope **= change in y-co-ordinates/ change in y-co-ordinates

But here, change in x-co-ordinates is zero since the x-co-ordinates are same for the vertical line given in the graph.

So **slope** = change in y-co-ordinates/ 0

This is** undefined.**

So the **slope** of the line in the graph is **undefined.**

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A map ratio is 1:50 000. Two villages

are 8km apart. How far apart are they

on the map?

**Answer: they should be 2cm apart**

**Step-by-step explanation: This means that 1 cm on the map represents an actual distance of 50 000 cm (or 500 m or 0.5 km). We saw above that if a map has a scale of 1 : 50000, then 1 cm on the map is 50000 cm in real life.**

HELP ME PLEASE!!! due tonight

**Answer:**

y=1x-5

**Step-by-step explanation:**

Use rise/run

**Answer:**

[tex]y=x-5[/tex]

**Step-by-step explanation:**

Just look at the slope and the y-intercept.

The y-intercept is b, and it's -5. The slope is 1, so it is x.

Simplify the equation. Show your work.[tex]-i^3^2[/tex]

[tex]{\Large \begin{array}{llll} i^4=1 \end{array}} \\\\[-0.35em] ~\dotfill\\\\ -i^{32}\implies -i^{4\cdot 8}\implies -(i^4)^8\implies -(1)^8\implies \text{\LARGE -1}[/tex]

Write the equation of the line that is perpendicular to y = 1 and goes through (4, −9).

FOR PERPENDICULAR LINES WHEN THEIR GRADIENTS ARE MULTIPLIED THEY GIVE -1

BUT IF WE ARE TO CHECK IN THE LJNE **y****=****1**** ****the**** ****gradient**** ****is**** ****0**

**there**** ****is**** ****no**** ****number**** ****when**** ****multiplied**** ****with**** ****0**** ****that**** ****will**** ****give**** ****us**** ****-1**** ****it**** ****means**** ****that**** ****the**** ****gradient**** ****of**** ****the**** ****line**** ****perpendicular**** ****to**** ****the**** ****given**** ****one**** ****will**** ****also**** ****be**** ****0**

**when**** ****we**** ****substitute**** ****in**** ****the**** ****g****e****n****e****r****a****l**** ****equation**** ****y****=****mx****+****c**** ****together**** ****with**** ****the**** ****points**

**[tex] - 9 = (0)(4) + c \\ c = - 9[/tex]**

**IT**** ****MEANS**** ****THE**** ****EQUATION**** ****OF**** ****THE**** ****NEW**** ****EQUATION**** ****WILL**** ****BE**** **

**[tex]y = - 9[/tex]**

**HOPE THIS HELPS**** **

Levi is 5 feet, 9 inches tall. How many centimeters tall is Levi? (1 inch = 2.5 centimeters)

**Answer:**

175.259 cm

**Step-by-step explanation:**

Solve for v.

V =

Blank 1:

**Answer:**

v=60

**Step-by-step explanation:**

3v=180

v=60

:]

The probability that Gavyn wins in a raffle is given by the expression

p. Write down an expression for the probability that Gavyn does not win.

Explanation:

Let's replace p with something like 0.72

Pick any number between 0 and 1.

This says he has a 72% chance to win

1-p = 1-0.72 = 0.28

and he has a 28% chance of not winning.

For more information, check out "probability complement".

hopt shipping company charges a

flat fee of $9 Plus an additional

$0.18 per pound to ship a package.

Gespil shipping company

flat fee of $10 plus an additional

$0.10 per pound. How many pounds

would a package weigh

that cost the same at

both companines?

**Answer:**

Hopt: 10 Gesplil; 6

**Step-by-step explanation:**

Properties of equality can be used to justify steps in solving an equation.

ANSWER:

4x-1=27

or,4x=27+1

or, x=28/4

or, x=7

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In ATUV, the measure of ZV=90, VU = 7, UT = 25, and TV = 24. What ratiorepresents the sine of ZU?U25NVT24Answer:Submit Answer
Read "The Fox and the Cat" by The Brothers Grimm. Then, answer the question that follows. It happened that the cat met the fox in a forest, and as she thought to herself, "He is clever and full of experience, and much esteemed in the world." She spoke to him in a friendly way. "Good day, dear Mr. Fox, how are you? How is all with you? How are you getting on in these hard times?" The fox, full of all kinds of arrogance, looked at the cat from head to foot, and for a long time did not know whether he would give any answer or not. At last, he said: "Oh, you wretched beard-cleaner, you piebald fool, you hungry mouse-hunter, what can you be thinking of? Have you the cheek to ask how I am getting on? What have you learnt? How many arts do you understand?" "I understand but one," replied the cat, modestly. "What art is that?" asked the fox. "When the hounds are following me, I can spring into a tree and save myself." "Is that all?" said the fox. "I am master of a hundred arts and have into the bargain a sackful of cunning. You make me sorry for you; come with me, I will teach you how people get away from the hounds." Just then came a hunter with four dogs. The cat sprang nimbly up a tree, and sat down at the top of it, where the branches and foliage quite concealed her. "Open your sack, Mr. Fox, open your sack," cried the cat to him, but the dogs had already seized him, and were holding him fast. "Ah, Mr. Fox," cried the cat. "You with your hundred arts are left in the lurch! Had you been able to climb like me, you would not have lost your life."Which two themes can be supported by details in the text?Arrogance won't save you from a dangerous situation.It's better to have one safe plan than to have many you can't control.Someone claiming to know what's best for you is often right.It's fine to be rude when you're clever. A and B A and C B and C C and D
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