from a point P the length of the tangent to a circle is 24 cm and the radius is 7 cm find the distance of P from the centre​

On solving the provided question, we can say that  - he need 56  answers he need to get correct if he want a grade of 80 percent on a test with 70 questions

A percentage in mathematics is a figure or ratio that is stated as a fraction of 100. The abbreviations "pct.," "pct," and "pc" are also occasionally used. It is frequently denoted using the percent symbol "%," though. The amount of percentages has no dimensions. It has no measuring systems. With a denominator of 100, percentages are basically fractions. To show that a number is a percentage, place a percent symbol (%) next to it. For instance, if you correctly answer 75 out of 100 questions on a test (75/100), you receive a 75%. To compute percentages, divide the amount by the total and multiply the result by 100. The percentage is calculated using the formula (value/total) * 100%.

Assuming that all of the questions are equally weighted, 56 is equal to 80% of 70. (.80)(70)=56

Therefore, 56 out of 70 is the lowest number you may get correct, or 80%.

\(70-56=14\)

So, the maximum number of questions you may omit is 14.

As an alternative, if you desire 80% accuracy, you can have no more than 20% errors.

20% of 70 \(= .20)(70) = 14\)

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Answer: √7 is irrational because the square root of 7 isn't a perfect root.

Step-by-step explanation:

In the proportional relationship, the value of y when x = 7 is 28.

Direct proportion or direct variation is the relation between two quantities where the ratio of the two is equal to a constant value.

Therefore, the value of y is directly proportional to the value of x. When x = 3.5, the value of y is 14.

Hence,

y ∝ x

y = kx

where

when y = 14 , x = 3.5

14 = 3.5k

k = 14 / 3.5

k = 4

Therefore,  let's find the value of y when x = 7.

y = 4 × 7

y = 28

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Answer:

First, let's simplify the expression by combining like terms:

(5x-2y)(a-b) - (2x-y)(a-b)

= (5x-2y-2x+y)(a-b) // Distribute the (a-b) to each term

= (3x-y)(a-b)

Therefore, (5x-2y)(a-b) - (2x-y)(a-b) simplifies to (3x-y)(a-b).

The goal of this research is to evaluate the expression (5x-2y)(a-b)-(2x-y)(a-b). First, it is important to review the basic principles of algebra and the technical definitions of expressions and powers. This involves a recap of addition, subtraction, multiplication, and division of algebraic expressions.

Next, the expression under analysis needs to be broken down into the terms and factors. To achieve this, parentheses and binsomials need to be grouped and identified. This is a critical step in the evaluation process of the expression.

After this has been done, the algebraic steps for simplifying the expression need to be taken. This involves applying the commutative, associative, distributive and other relevant laws of algebra to achieve an answer in the simplest way. It is important to remember that each step needs to be documented and the source of the information should be clearly indicated.

In terms of sources, it is important to only select reliable websites, textbooks and journals approved by experts in the field. Examples of these are the American Mathematical Society, the Johns Hopkins University, and the Massachusetts Institute of Technology.

Finally, the expression needs to be scrutinized to ensure that all steps have been taken correctly and the outcome is what was expected. Once this has been completed, the answer can be documented and the paper/article can be published.

In conclusion, the expression (5x-2y)(a-b)-(2x-y)(a-b) can be evaluated through an organized approach involving the use of the fundamental principles of algebra and reliable sources for validating the findings.

Answer:

approximately 2 cans

Step-by-step explanation:

total surface area of cylinder with one circular surface plus surface area of a funnel

(206.25+63.25) pie squared feets

270pie squared feets

number of cans = total surface area of figure divided by area covered per can

n= 270pie squared feets ÷400 squared feets

n= 2.121 cans

approximately 2 cans of paint

The number of cups of flour that Diana use in the recipe will be 4 cups of flour.

A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.

Diana is baking bread, and the original recipe calls for 1 teaspoon of yeast and 2 cups of flour. Then the ratio of the number of teaspoons of yeast to the number of cups of flour will be constant.

Let 'x' be the amount of flour.

Diana will use the entire contents of a packet that contains 2 teaspoons of yeast and will use the same ratio of ingredients called for in the original recipe.  Then the equation is given as,

1 / 2 = 2 / x

x = 4

The number of cups of flour that Diana use in the recipe will be 4 cups of flour.

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Answer:

Step-by-step explanation:

4.696-0.232

4.696

-.232

4.464

Answer:336

Step-by-step explanation:

12

216 = 336

It will take about 9.5 months (or 10 months rounded up) for the rabbit population to reach 5,800.

Let's use the formula for exponential growth to solve this problem:

N = N0 * 2^(t/k)

Where:

N0 = initial population (8 rabbits)

N = final population (5,800 rabbits)

k = doubling time (1 month)

t = time in months (what we're trying to find)

Substituting the values we have:

5,800 = 8 * 2^(t/1)

Dividing both sides by 8:

725 = 2^(t/1)

Taking the logarithm of both sides (base 2):

log2(725) = t/1

t = log2(725) ≈ 9.515

So it will take about 9.5 months (or 10 months rounded up) for the rabbit population to reach 5,800.

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In the circle, the area of the green region is A = π(r² - a²)

The area of a circle is given by A = πr² where r = radius of the circle.

In the picture, since we have two circle,to find the area of the green region, which is A = area of big circle, A" - area of small circle, A'

Now, the area of the big circle is A" = πr².

Also, the area of the small circle is A' = πa².

So, the area of the green region is A = A" - A'

= πr² - πa²

= π(r² - a²)

So, the area of the green region is A = π(r² - a²)

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Answer:

D.

Step-by-step explanation:

The answer is D. because the y intercept is 3 and the slope is down 1 and over 2.

hope this helps.

Answer:

Answer is B

Step-by-step explanation:

\(12x - y = 25 \\ 9x + y = 17 \\ x = \frac{17 - y}{9} \\ 12( \frac{17 - y}{9} ) - y = 25 \\ \)

\(\frac{204}{9} - \frac{12}{9} y - y = 25 \\ \frac{204}{9} - \frac{21y}{9} = 25 \\ - \frac{21y}{9} = 25 - \frac{204}{9} \\ - \frac{21y}{9} = 2.33 \\ - 21y = 20.997 \\ y = - 0.99\)

\(y = - 1 \\ x = \frac{17 - y}{9} \\ x = \frac{17 - - 1}{9} = \frac{18}{9} \\ x = 2\)

Answer:

8.5 cm

Step-by-step explanation:

A regular pentagon has 5 congruent sides , then

length of each side = perimeter ÷ 5 = 42.5 ÷ 5 = 8.5 cm

Answer:

10

Step-by-step explanation:

I took this quiz yrs ago

The measure of the length  of the side JR is 26 degrees

In mathematics, the trigonometric functions are real functions which relate an angle of a right-angled triangle to ratios of two side lengths

The given ang is 26⁰

The length JR is the hypothenuse  but the radius  is not given so

using Adj/Hypo = Cos26

Cos 26 = 0.888

Therefore the measure of mJKL = 0.8880 or 26 degrees

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Step-by-step explanation:

Simple

Total no of marbles = 6 + 4 + 8 = 18

Probability of red marble = 6 / 18 = 1/ 3

Step-by-step explanation:

is there more to the question?

The number of simple events in this experiment is 16.

The correct answer to the given question is option c.

The probability of an event can be calculated by dividing the number of favorable outcomes by the number of possible outcomes. A simple event is one in which only one of the outcomes can occur. For example, if a coin is tossed, a simple event would be the outcome of the coin being heads or tails.

The total number of possible outcomes in the experiment of tossing 4 unbiased coins simultaneously is 2⁴, since there are two possible outcomes for each coin. Thus, the total number of possible outcomes is 16.

Each coin has two possible outcomes: heads or tails. If all four coins are flipped, there are two possible outcomes for the first coin, two possible outcomes for the second coin, two possible outcomes for the third coin, and two possible outcomes for the fourth coin. Therefore, the total number of possible outcomes is 2 × 2 × 2 × 2 = 16.

Therefore, the number of simple events in this experiment is 16, which is option (c).

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x2+y2−2x−80=0

Write the problem as a mathematical expression.x2+y2−2x−80=0

Add  80 to both sides of the equation. x2+y2−2x= 80 Complete the square for x2− 2x. Tap for more steps...(x−1)2−1 Substitute  (x−1)2−1 for x−2x in the equation  x2+y2−2x =80 .(x−1)2−1+y2=80 Move −1 to the right side of the equation by adding  1 to both sides.(x−1)2+y2=80+1Add 80 and 1.(x−1)2+y2=81

This is the form of a circle. Use this form to determine the center and radius of the circle.(x−h)2+(y−k)2=2Match the values in this circle to those of the standard form. The variable r represents the radius of the circle, h represents the x-offset from the origin, and  k represents the y-offset from origin.r=9h=1k=0 The center of the circle is found at (h,k). Center: (1,0)These values represent the important values for graphing and analyzing a circle. Center: (1,0)Radius:  9

Answer:

She need to walk 31/75 miles to school.

Step-by-step explanation:

It is given that,

Sofia has walk \(1\dfrac{2}{25}\) miles to school. She has already walk \(\dfrac{2}{3}\) of a mile.

We need to find how much farther does she need to walk.

Total distance =  \(1\dfrac{2}{25}\) \(=\dfrac{27}{25}\)

Let she has to walk x distance to school.

\(x=\dfrac{27}{25}-\dfrac{2}{3}\\\\=\dfrac{31}{75}\)

Hence, she need to walk 31/75 miles to school.

the lengths of the sides of triangle PQR are PQ = 6, \(QR = 2*sqrt(10),\) and RP = 6.

We can use the distance formula to find the lengths of the sides of triangle PQR.

The distance formula is given by:

\(d = sqrt((x2 - x1)^2 + (y2 - y1)^2 + (z2 - z1)^2)\)

where (x1, y1, z1) and (x2, y2, z2) are the coordinates of two points in 3D space, and d is the distance between them.

Using this formula, we can find the lengths of the sides of triangle PQR as follows:

Side PQ:

\(PQ = sqrt((7 - 3)^2 + (3 - 1)^2 + (0 - (-4))^2)\)

\(= sqrt(16 + 4 + 16)\)

\(= sqrt(36)\)

= 6

Side QR:

\(QR = sqrt((1 - 7)^2 + (5 - 3)^2 + (0 - 0)^2)\)

\(= sqrt(36 + 4)\)

\(= sqrt(40)\)

\(= 2*sqrt(10)\)

Side RP:

\(RP = sqrt((1 - 3)^2 + (5 - 1)^2 + (0 - (-4))^2)\)

\(= sqrt(4 + 16 + 16)\)

\(= sqrt(36)\)

= 6

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Answer:

5.023 I believe

Step-by-step explanation:

Answer:

Number 10 is wrong it is supposed to be 18

the reason is because the subtraction sign is canceling out the negative sign so instead of 2-(-16) it could be 2+16

Answer:

B

Step-by-step explanation:

2 x 2.75 is for the pastries, and 1.45 for the tea.

Hope that helps, Brainliest is appriciated!

Answer:

7b + 3b

Step-by-step explanation:

Answer:

7b + 3c

Step-by-step explanation:

Add 2b and 5b

Answer: C / .33

Step-by-step explanation:

Answer:

The price of each latte was $4.5.

Step-by-step explanation:

6x + 18 = 45

6x = 45 - 18

6x = 27

x = 27/6

x = 4.5

The variable represents the cost of each latte.

The equation that represents the growth or change in the population is p = p =254.9t + 38,655 and it will take 44.5 years to reach 50,000 people.

First, let's determine the growth per year:

41,204 people - 38, 655 people= 2,549 people/ 10 years = 254.9 people per year. Now, based on this, we can write the equation as follows : 254.9t + 38,655 (initial population)

Now, let's calculate the value of t when p is 50,000:

50,000 = 254.9t + 38,655

50,000 - 38,55= 254.9t

11,345/ 254.9= t +

t= 44.5 years

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