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From trigonometric ratios we calculate the value of the cos C is 4/9 and the value of cosec C is 9/√65 .

Real functions known as trigonometric functions in mathematics connect right-angled triangle angles and the ratios of their two side lengths.

We know that sec C = 1/cos C

Hence the value of cos C = 4/9 .

Again we know that the value of sin C=1/cosec c

Therefore the value of cosec C is 9/√65 .

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Answer:

A. 8

Step-by-step explanation:

Geometric mean= √(4×16) = √64 = 8

Answer:x=10

Step-by-step explanation:

1. Simplify both sides of the equation. -3(x+4)=-6x+18 to -3x - 12=-6x + 18

2. Add 6x to both sides. -3x - 12=-6x + 18 to -3x - 12 + 6x=-6x + 18 +6x which would equal to 3x - 12=18

3. Add 12 to both sides. 3x - 12 + 12=18 + 12.

4. Divide both sides by 3. 3x/3=30/3 which equals x=10.

The slope of the line is indefinite (∞). Also, the line will be parallel to the x-axis.

It is given in the question that a line passes through the points (7, 10) and (7, 20).

We have to find the slope of the line.

We know that,

Slope of a line with coordinates (a,b)  and (c,d) is given by:-

(d - b)/( c - a)

Here,

a = 7,

b = 10,

c = 7 and,

d = 20

Hence, we can write,

Slope of the line = (20 - 10)/( 7 - 7) = 10/0 = ∞.

Hence, the slope of the line is indefinite.

Here, as the x -coordinate of both the points are same, this line will be parallel to the x - axis.

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Answer: 8/7 is your answer

Step-by-step explanation:

Answer:

Exact Form:

8/7

Decimal Form:

1.42857

Mixed Number Form:

1 1/7

glad i could hep

Step-by-step explanation:

Convert the mixed numbers to improper fractions, then find the LCD and combine.

He can buy $100  of gasoline that you can buy if you also get a car wash and can spend at most $30.

An inequality in mathematics is a relation that compares two numbers or other mathematical expressions in an unequal way. The majority of the time, size comparisons between two numbers on the number line are made. Different types of inequalities are represented by a variety of notations, including:

The symbol a b indicates that an is smaller than b.

When a > b is used, it indicates that an is bigger than b.

Given Data

The gas station charges $0.20 less per gallon of gasoline if a customer also gets a car wash. A car wash cost $10.

Inequality-

$0.2x + $10 = $30

0.2x = $20

x = 100

He can buy $100  of gasoline that you can buy if you also get a car wash and can spend at most $30.

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Given

Point A = (25, 98)

Point B = (55, 92)

Procedure

First of all, remember what the equation of a line is:

y = mx+b

Where:

m is the slope, and

b is the y-intercept

Now, what about b, the y-intercept?

The equation of the line that passes through the points

(25,98) and (55,92)

Answer:

-11.8684210526

Step-by-step explanation:

The product of any two negative numbers is positive.

Consider a positive number to be something as a gift, and a negative number to be something you give to me.

So, let's say you get 4 laptops from me, and - 4 means you give away 4 laptops to me.

Now when you say - 4 + - 4 + - 4 + - 4 + - 4.

This means that you are giving away 4 laptops 5 times to me, so basically you have given away 20 laptops, which means I have 20 laptops and you have - 20.

Now, - 4 * - 5 means, you give away 5 laptops, for - 5 times to me. But the second number is - 4, so the receiver, that is me, is giving it back to you. Thus indirectly, you gave away 4 chocolates to yourself 5 times. Thus you have 20 laptops.

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Answer:

264

Step-by-step explanation:

0.75x352

Check the picture below.

Answer:

315 over 1700

1700 long division enclose 315

315 ÷ 1700

Step-by-step explanation:

315 divided by 1700 can be written in each of the three ways listed above.

As a result, the value of x is 20. Vertically opposite angles are formed by two straight intersecting lines that are opposite one another at a specific vertex.

Here to find y,

∠A = ∠B ( vertically opposite angles are equal ).

5y - 8 = 42

5y = 42 +8

5y = 50

y = 10

To find ∠A,

∠ A = 5y - 8

        = 5 x 10 - 8

        = 50 -8

         = 42°.

we know that angle on a straight line is 180°.

So , ∠A + ∠C = 180°

       42 + ∠C = 180°

       ∠C = 180 - 42

       ∠ C = 138°.

Since ∠C = ∠D (vertically opposite angle ).

          ∠D = 138°

As a result, the value of x is 20.

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Check the picture below.

so the quadrilateral is really two triangles, each with a base of 3 and a height of 6

[tex]\stackrel{\textit{area of the two triangles}}{2\left[ \cfrac{1}{2}(\underset{b}{3})(\underset{h}{6}) \right]\implies 2(9)\implies} \text{\LARGE 18}[/tex]

Cost of the ad is $167.5

What is cost?

A cost is the worth of money that has been used up to create something or supply a service and is thus no longer accessible for use in production, research, retail, or accounting. In business, the cost might be one of acquisition, in which case the money spent to obtain it is recognized as cost. In this situation, money is the input that is used to purchase the item. This acquisition cost might be the total of the original producer's production expenses and the acquirer's additional transaction costs over and above the amount paid to the producer. Typically, the price includes a profit margin above the cost of manufacture.

The cost of the ad per column inch = $67

So, the cost of 2¹/₂ inch = 67 x 2¹/₂ = $167.5

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Answer:

217°

Step-by-step explanation:

the tangent ratio is positive in the first and third quadrants.

37° is the angle in the first quadrant

then the angle in the third quadrant is

180° + 37° = 217°

From the question, we are asked to find the area.

Since all the sides of the figure are the same, then it is a square.

So we will be using the area of a square formula to solve it.

Formula for area of a square is:

Area = a x a = a²

a = 5 in

So,

Area = 5 x 5 = 5² = 25

Therefore, the area of the square is 25 in²

In the class, there is a total of 42 students.

25 take biology.

15 take history.

18 take biology but not history.

There are four situations that you have to include in the Venn diagram:

"The students take only biology"

"The students take only history"

"The students take biology and history"

"The students take neither classes"

To draw the Venn diagram, you have to make one circle for each subject, i.e. one circle for biology and one for history, and label them.

Then you have to enter the similarities between both subjects, this means, where the circles overlap, you will find the students that take both subjects.

Finally, outside the circles, you will find the students that take neither subject:

Now, you have to determine how many students are included in each part of the Venn Diagram.

1) You know that 25 students take biology and that 18 take biology but not history, to determine the number of students that take both subjects, you have to calculate the difference between both values:

7 students take biology and history.

2) 15 students take history out of these you know that 7 take also biology. To determine the number of students that take only history, you have to calculate the difference between both values:

8 students take history but not biology.

3) To determine the number of students that take neither class, you have to subtract to the total number of students, those who take only biology plus those who take only history plus those who take both classes:

9 Students of the class take neither class.

Finally, you can write each value in the corresponding part of the Venn diagram:

• Inside the green circle, you have to include the 18 students that take only biology.

• Inside the blue circle, you have to include the 8 students that take only history.

• Where both circles overlap, you have to include the 7 students that take both classes.

• Outside the circles, you have to include the students that take neither.

Triangles 2, 4, 6, 8, 9, 10, 12, 14, and 15 are not translations of triangle 1.

In mathematics, a translation is an up, down, left, or right movement of a shape. Because the translated shapes appear to be exactly the same size as the original ones, they are consistent with one another. Just one or more directions have been altered. There is no change in the shape because it is simply being moved from one location to another.

The object may move left at first, then right, and so forth. The object's position can change, as well as the manner in which it does so. Each point on the shape will move by the same number of units during translation.

Therefore, triangles 2, 4, 6, 8, 9, 10, 12, 14, and 15 are not translations of triangle 1.

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Deon served 16 orders. Pablo served 32 orders. Teresa served 7 orders.

An equation is an expression that shows the relationship between two or more numbers and variables.

Let Deon order be x , since Teresa served 9 fewer orders than Deon.  , then Teresa order is x - 9,

since Pablo served 2 times as many orders as Deon, it means Pablo's order is 2x . combining all

Deon 's orders = x

Pablo's order = 2x

Teresa 's order = x - 9

Total order = 55

Then

x + 2x + x - 9 = 55

4x - 9 = 55

4x = 55 + 9

4x = 64

x = 16

Therefore :

Deon served 16 orders

Pablo served orders = 32 orders

Teresa served 16 - 9 orders = 7 orders

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Yes they are vertical angles, the angles are nonadjacent and are formed by intersecting lines.

When two lines that are straight intersect with each other, they form two pairs of opposite angles that are called vertical angles.

Vertical angles share a common vertex both no common sides and are therefore referred to as non-adjacent angles.

Thus, the image shows that lines intersect to form angle 4 and angle 7.

Angle 4 and angle 7 share a common vertex but do not share a common side, hence they are nonadjacent to each other, as shown in the diagram.

We can conclude that they are vertical angles because they are nonadjacent and are formed by intersecting lines.

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Answer: Zero Product Property

Step-by-step explanation:

Answer:

Well, am not sure if am correct, if a = 0 and if b = 0, then both terms have the same value. The law this equation ab = 0 is following is called Zero Product Property.

Step-by-step explanation:

a x b

Suppose a x b = 0

Then either a = 0 or b = 0

so these are the two possible cases.

1. 0 x b = 0

2. a x 0 = 0

Therefore, the product of the a and b is equal to zero when a is equal to zero or b is equal to zero. This rule is the zero product property.

⇒2 will multiply everything in the brackets.

[tex]2(p)+2(19)=8\\2p+38=8\\[/tex]

⇒Now I will group like terms to solve for p. Note those that cross the equal sign change sign

[tex]2p=8-38\\2p=-30\\\frac{2p}{2} =\frac{-30}{2} \\p=-15[/tex]

We found that p=-15

Answer:

line I is parallel toM to know how you got follow me and ask the the question

Explanation:

Erase line L since we won't be using it. Erase every angle but angle 5 and angle 6.

If angle 5 and angle 6 are congruent, then we can use the converse of the corresponding angles postulate to show that lines p and q are parallel.

Angle 5 and angle 6 are corresponding angles since they are both in the same northeast corner, i.e. they're both in the same corresponding position so to speak.

The option that best describes the elevation of Desert Shores is; A. Desert Shores is lower than 55 meters below sea level.

We are told that the elevation of Desert Shores, California, is less than -55 meters.

Now, an elevation of a natural landmass like this is usually given with reference to the sea level. If above sea level, it is positive but if below sea level, it is negative.

Now, the elevation is negative as we can see that it is given as -55 meters. Thus, we can easily conclude that Desert Shores is lower than 55 meters below sea level.

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The answer is letter B. Zero.

The solution is the point in which two lines cross, but here we observe to parallel lines, there is no intersection. So there is no solution.

Answer:

1) 29 equals n over 3

2) x + 4 = 6

3) p − 53 = 118

4) L over 4 equals 24

Step-by-step explanation:

1) twenty-nine is one-third of the number n is

29 = 1/3 • n

29 = 1/3 • n/1

29 = n/3

So, the answer is 29 equals n over 3

2) The song was 6 minutes long and she has already sung 4 minutes

Let's find the equation to be used to see how much longer she will have to sing?

? + 4 = 6

x + 4 = 6

3) The equation to be used to find the pencils left according to the question is p − 53 = 118 since he has 118 pencils left out of collecting 53 pencils so the remaining pencil would be 118 - 53

Where, p is representing the pencil remaining

So, the answer is p − 53 = 118

4) I think you made a typo in this question

Correction

Julia has a square poster of a puppy on her bedroom wall. The length is one-fourth the width of the picture. If the width is 24 inches, write and solve an equation to determine the length

Answer

so the answer to this question is L over 4 equals 24

L/4 = 24

L = 24*4

L = 96

so, the length is equal to 96 inches and the equation is L over 4 equals 24

Hello! So...

We are given the following to solve:

Solve for x.

[tex]\frac{2}{3} (2x-\frac{1}{2})=13[/tex]

_______________________________________

1. Multiply both sides by 3.

[tex]3[/tex] × [tex]\frac{2}{3}(2x-\frac{1}{2})=13[/tex] × [tex]3[/tex]

_______________________________________

2. Simplify.

[tex]4x-1=39[/tex]

_______________________________________

3. Add 1 to both sides.

[tex]4x-1+1=39+1[/tex]

_______________________________________

4. Simplify.

[tex]4x=40[/tex]

_______________________________________

5. Divide both sides by 4.

[tex]\frac{4x}{4} =\frac{40}{4}[/tex]

_______________________________________

6. Simplify.

[tex]x=10[/tex]

^Hence, our solution.

__________________________________________________

Hope this helps! If you need anything else, don't hesitate to comment below and I'll see what else I can do for you. Thanks and good luck!

Answer:

Step-by-step explanation:

If the sum of three consecutive odd number is 81, find the numbers.​

(81 - 6) : 3 = 25

25 + 2 = 27

27 + 2 = 29

--------------------------

check

25+27+29=81

the answer is good

Answer:negative slope, slope=-3/5

Step-by-step explanation:
To find slope:

Rise/Run

Rise/Run: down 3 left 5 so -3/5