1. please Prove that the angle that an are of a circle subtends at the centre is twice that which it substends at any point on the remaining part of the circumfrence.​

Answer:

[tex]\huge{\boxed{\text{The height of the triangle is 6cm.}}}[/tex]

Step-by-step explanation:

This question requires us to use a system of equations.

The area of a triangle is (1/2) * (base) * (height).

Thus, if b = base, and h = height

[tex]\frac{1}{2} bh=36[/tex]

Additionally, from the problem, we know:

[tex]b=h+6[/tex]

Then, via substitution, we can get

[tex]\frac{1}{2} *(h+6)*h=36[/tex]

Then, simplify:

[tex]\frac{1}{2} h^2+3h=36[/tex]

[tex]\frac{1}{2} h^2+3h-36=0[/tex]

[tex](\frac{1}{2} h-3)(h+12)=0[/tex]

Thus, the height must equal either 6 or -12, and because height cannot intrinsically be negative, the height must be 6.

Hope it helps :) and let me know if you want me to elaborate.

Answer: 9/4

Step-by-step explanation:

The equation for this is 3/4 x 3 = 3/4 x 3/1 = 2 1/4

Simple 2 1/4 to fraction = 9/4

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The mug has a capacity of 2 1/4 cups of water, as per the given conditions.

Given that,
A mug is 1/3 full. The mug contains 3/4 of a cup of water. Find the capacity of the mug.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
As
1 / 3 of mug = 3 / 4 cups
1 of mug = 3/4 / [1/3]
1 of mug = 3×3 / 4
1 of mug = 9 / 4 cups or 2 1 / 4 cups

Thus, the mug has a capacity of 2 1/4 cups of water, as per the given conditions.

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It will take 6 months for Omari to finish paying off the monthly payment for the computer.

What is the monthly payment?

The amount paid each month to repay the loan over the course of the loan is known as the monthly payment. When a loan is taken out, not only the principal, or the original lent amount, but also the interest that accrues, must be repaid.

Given, the total price of the computer = $1,099

down payment = 20% of $1,099 = $219.8

The remaining amount = $1,099 - $219.8 = $879.2

monthly payments for the computer = $144

Then, the total months to pay = 879.2/144 = 6 months

Hence, it will take 6 months for Omari to finish paying off the monthly payment for the computer.

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Answer:

4

Step-by-step explanation:

Answer:

68

Step-by-step explanation:

Answer: 68

Step-by-step explanation: To find how many child tickets they sold that day, we need to set up this proportion:

[tex]\frac{4}{1}[/tex] = [tex]\frac{?}{17}[/tex]

So, now we cross multiply, so 1 x 17 = 17, and 4 x 17 = 68. I hope this helped someone!

Answer:

(-4, 8)

Step-by-step explanation:

y = -1.5x + 2

y = 5x + 28

y + 1.5x = 2

y - 5x = 28

6.5x = -26

x = -4

y = 5(-4) + 28

y = -20 + 28

y = 8

Answer:

22

Step-by-step explanation:

Things To Keep In Mind:

(X, Y)

(12, -16) and (-10, -16) have the same Y, which means to find the distance all you have to do is subtract the Xs.

12 - -10

12 + 10

22

If there are any problems in this answer please tell me, thanks :)

Answer: 99 is your answer bro

Step-by-step explanation:

The output values from the rule are -12, 2, 0, -6 and -10

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

Rule = add -6

This means that

Output = Input - 6

Using the values in the question, we have

Output = -6 - 6 = -12

Output = 8 - 6 = 2

Output = 6 - 6 = 0

Output = 0 - 6 = -6

Output = -4 - 6 = -10

The above represent the output values

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For the given coordinates the area of the triangle will be 248.5 square units.

An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.

It is given that,triangle TABLE has vertices M(-7,-1) A(5,6) L(2,-3)

x₁,y₁=(-7,-1)

x₂,y₂=(5,6)

x₃,y₃=(2,-3)

We must utilize the triangle's vertices to calculate the area of the triangle in order to obtain the equation,

S=1/2[-7(6-(-3)+5(-3-(-1)+2(-1-(6)]

S=248.5

Thus, for the given coordinates the area of the triangle will be 248.5 square units.

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Answer:

Below

Step-by-step explanation:

(3y + 2l )z + (4y + 5l) p = 38y+37 l     <=======given   ( y = eyes , l = legs)

z 2l + p5l = 37 l       <===separating out the' l ' part

2z + 5p = 37

3y z + 4y p = 38y     <====== taking out the 'y' part

3z  + 4 p = 38     Solve the two underlined simultaneous equations

                  multiply first one by - 1.5   then add to second one to get:

-3z -7.5p = - 55.5   <=====  solve for p

     -3.5 p = - 17.5

           p = 5     then   z = 6

The  number in which the value of the digit in the thousand place as  one-tenth the value of the digit in the ten-thousand place is  44,000.

In 44000, the value of each place is 1/10 the value of the place before it as you move to the right in the place value chart. As a result of moving one place to the left, the value of the digit in the number 44,000's ten thousands place is 10 times greater than that of the digit in the thousands place.

In mathematics, place value refers to a digit's location within a number. A number has a slot for each digit. The placement of each digit will be enlarged when we represent the number in general form.

These positions begin at the unit place, often known as the individual's position. Units, tens, hundreds, thousands, ten thousand, one hundred thousand, and so on are the place values of a number's digits from right to left.

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Answer:

A

Step-by-step explanation:

You said fast so no explanation

The labeling and the graph are shown in the attached image.

The equals sign is used in equations to indicate the equality of two expressions in a formula. Equations are statements in mathematics that have two algebraic expressions on either side of the equals (=) sign. It shows that the expressions printed on the left and right sides have an equal relationship.

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It is possible that someone else collecting a different sample from the same population and measuring the same variable would calculate the same sample statistic, but it is not guaranteed.

Statistical measures that are derived from samples of data rather than the complete population are called sample statistics. A population parameter, such the mean or standard deviation, is estimated using this method. Depending on the type of data and the research issue being examined, sample statistics can be estimated using a variety of formulae and techniques. For instance, to get the sample mean, multiply the sum of all the observations in the sample by the total number of observations. The sample standard deviation is calculated by taking the square root of the sum of the squared differences between each observation and the sample mean. In research studies and surveys, sample statistics are frequently utilized to draw conclusions about the population.

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Expressions that represent the total cost of the field trip is

0.8{10x + 20y}.

A mathematical expression is made up of numbers, variables, and functions (such as addition, subtraction, multiplication or division etc.)

It is possible to compare expressions and phrases. In English, a phrase by itself could contain an action, but it doesn't constitute a full sentence.

As instances of expressions and how they connect to word phrases, consider the following:

Example: 3 + 7

The phrase "the product of three and seven"

Cost of Ticket for each student cost = $10

Cost of Ticket for each Teacher cost = $20

Let the total students be x

and, total number of teacher will be y

Total cost= 10x + 20y

As museum gives 20 % rebate for promotion

So, now total cost will be {10x + 20y} - 20/100 {10x + 20y}

So the required Expression would be 0.8{10x + 20y}.

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Answer:

8

Step-by-step explanation:

8x + 9 = 73 becauss ir is a square

8x = 64

x = 8

Answer:

Step-by-step explanation:

In square QRST, ST = 8x + 9 and QR = 73, what is x?

in the attached figure you can see that the measurement of ST and QR are the same, it is a square, therefore 4 equal sides, we can solve with an equation

8x + 9 = 73

8x = 73 - 9

8x = 64

x = 64 : 8

x = 8 units  (your answer)

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

check

8 x 8 + 9 = 73

64 + 9 = 73

73 = 73

the answer is good

h(x) has the following formula: 9/2 cos[4/3 (x+/2)] + 1/2

Trigonometry is a discipline of mathematics that examines certain functions of angles and how to use them in computations. There are six frequent uses for an angle in trigonometry. Sine, cosine, tangent, cotangent, secant, and cosecant.

The graph is sent as

Two point (-π/2 , 5) , (π/4 , -4)

amplitude is A = 9/2

Period  = π + π/2 = 3π/2

B = 2π/3π/2 = 4/3

Phase shift = - π/2  (π/2 to left)

midpoint y= 0.5

equation of cosine will be

9/2 cos[ 4/3 (x+π/2) ] + 1/2

Therefore h(x) = 9/2 cos[ 4/3 (x+π/2) ] + 1/2

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Answer:

1) No correlation

2) Weak positive correlation

3) Strong negative correlation

Answer: 1

Step-by-step explanation:

Very simple both of them have the same base is 7. And we know that the number is 7x9, so the triangle is 1 because when both numbers have the same base, we will subtract the other number to get the answer!

A technique called simple random sampling involves choosing a random group of individuals from a predetermined population.

A selection of participants from a population is chosen at random by the researcher using simple random sampling, a sort of probability sampling.

Every person in the population has the same chance of being chosen.

Then, data are gathered from as much of this randomly selected subgroup as possible.

A straightforward random sample, where each participant has an equal chance of being selected, selects a small, random portion of the entire population to represent the entire data set.

Using techniques like lotteries or random draws, researchers can generate a straightforward random sample.

Therefore, a technique called simple random sampling involves choosing a random group of individuals from a predetermined population.

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Answer:

y = -1/3x + 2

Step-by-step explanation:

Slope-intercept form of a linear equation is written as:

y = mx + b, where x and y are coordinates from one of the points on the line, m is the slope, and b is the y-intercept.

1. You'll first want to find the slope, m. Slope can be calculated from two points by using the equation (y1 - y2)/(x1 - x2). If you plug your two points into this equation for x and y (making sure that y1 and x1 are from the same point and y2 and x2 are from the other), you'll get,

(3 - 1)/(-3 - 3) = 2/-6 = -1/3

m = - 1/3

2. You can then plug your slope, m, into the slope-intercept form of the equation. Using one of your points (doesn't matter which, but I'll use (3,1)), you can solve for b, your y-intercept.

1 = -1/3(3) + b

1 = -1 + b

b = 2

3. Plug the variables into the equation.

For your final equation, plug the slope, m, and y-intercept, b, that you just found.

y = -1/3x + 2

The credit card company calculated a finance charge of $7.66 on Ron's bill if the annual percentage rate is 18%.

The finance charge is the product of the average daily balance and the monthly percentage rate.

The annual percentage rate (APR) is 18% or 0.18.

$510.50× 0.18 / 12 =$7.66

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Answer:

The plant was able to produce 2515 computer chips in 3 months

Step-by-step explanation:

You just have to sustitute

each month

f(x)= 5(x) + 2500

3 months

f(3) = 5(3) +2500    

f(3) = 2515

Hope it helps u

Car A is travelling at a faster rate than Car B because its line on the graph is  steeper.

Average Understanding speed will help you better comprehend the pace of a travel. The speed may occasionally change while traveling. Finding the average speed becomes crucial in this situation so that you can get an idea of how quickly the travel will be finished.

Divide the overall distance traveled by the time period to find the average speed. An someone traveling at an average speed of 40 miles divided by 40 minutes, or 1 mile per minute, would be driving 20 miles north and then 20 miles south to arrive at the same location (60 mph)

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Answer:

04c+06d=$8.50

Step-by-step explanation: