/.,/.ç/.,/.,/.,/.,,/,/.,/.,/.,/.,/.,/.,/.,/./.,/.

Perpendicular projected from center of a circle to its chord bisects it. The value of the x for this case is: x = 1.565 ft approximately.

If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:

[tex]|AC|^2 = |AB|^2 + |BC|^2[/tex]

where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).

If the considered circle has center O and chord AB, then if there is perpendicular from O to AB at point C, then that point C is bisecting(dividing in two equal parts) the line segment AB.

Or |AC| = |CB|

For this case, consider the diagram below.

The line OC divides AB in half.

Since it is given that:
Length of AB = |AB| = 2x ft,

therefore, we get:
|AC| + |CB| = 2x

|AC|+|AC| = 2x (as |AC|=|CB|)

therfore, we get: |AC| = x feet = |CB|

Now,as the triangle OBC contains a right angle, we can use Pythagoras theorem, and therefore, we get:

[tex]|OB|^2 = |OC|^2 + |CB|^2\\2.1^2 = 1.4^2 + x^2\\x^2 = 4.41 - 1.96\\x = \sqrt{2.45} \approx 1.565 \: \rm ft[/tex]

(took positive root as 'x' represents measurement of length, which is a non-negative quantity).

Thus, the value of the x for this case is: x = 1.565 ft approximately.

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Answer:

2 rad

Step-by-step explanation:

Given :

Formula

Solving for β

Answer:

alright where's the question

Answer:

i think B is the answer

Apply Pythagorean theorem

Answer:

25 units

Step-by-step explanation:

Since this triangle is a right triangle, we can use pythogoras theorem to calculate the unknown side length (x). The pythogoras theorem states that the (longest side)² is equivalent to (Side)² + (Side)².

Let the longest side be "c" and the other side lengths be "a and b".

⇒ Pythogoras theorem formula: c² = b² + a²

If this statement is proven false, then the triangle shown is not a right triangle. Now, let's use the formula to determine the missing side length.

Let "c" be "x" and the other side lengths be "7 and 24 (as stated in image)"

SImplify both sides as needed.

Take square root both sides as needed.

The measure of x is 25 units.

Answer:

The correct answer would be Option A; all real numbers

Hope this helps!

Answer:

I hope it's 1=7/10x because if so it's gonna be

Step-by-step explanation:

X = 10/7

Answer:

1=7/10x

1=0.7x

divide 0.7 on both sides

x=1.4285 = x=1.43

Answer:

20:40

Step-by-step explanation:

The required ratio of lollipops to candy bars is 1:2.

Given that,
There are 20 lollipops and 40 candy bars for a gift bag, fill out all of the possible ratios of lollipops to candy bars that could be made is to be determined.

The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.

Here,
Total number of lollipops = 20, in a bag

Total number of candy bars = 40, in a bag

The ratio of lollipops to a candy bar in a bag,
Ratio = number of lollipops/number of candy bars
Ratio = 20 / 40
Ratio = 1 / 2
Ratio = 1:2

Thus, the required ratio of lollipops to candy bars is 1:2.

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Step-by-step explanation:

Here is the example you can take idea from it.

Let's look at the answer choices to see what the questions wants us to do with the data

 ⇒ essentially they compare Carol's mean or median to herself or to

 Anna's mean or media

    ⇒ therefore we should calculate Carol's mean, median and Anna's

    mean, median

Before we start calculating, let's define what is the mean and median

Let's calculate:

         ⇒ Carol's data ordered: 20, 30, 45, 60, 70

               [tex]Mean = \frac{20+30+45+60+70}{5} = \frac{225}{5}=45\\ \\Median: 45[/tex]

         ⇒ Anna's data ordered: 30, 35, 45, 60, 65

               [tex]Mean = \frac{30+ 35+ 45+ 60+ 65}{5} =\frac{235}{5} =47\\\\Median: 45\\[/tex]

Now using the data, let's compare:

first choice: Carol's mean is equal to her median--> correct

second choice: Carol's mean is not greater than Anna's mean--> incorrect

third choice: Anna's median isnot greater than her mean --> incorrect

fourth choice: Anna's mean is not equal to Carol's mean --> incorrect

Hope that helps!

Hence total cycles:-

Answer is 3

The required there are 3π cycles of the function in a horizontal length of 12π.

Functions is the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

If the period of a function is 4, that means the function completes one cycle every 4 units of horizontal distance.

To find out how many cycles occur in a horizontal length of 12π, we need to divide 12π by the period of the function, which is 4:

Number of cycles = (12π) / 4

Simplifying the expression, we get:

Number of cycles = 3π

So, there are 3π cycles of the function in a horizontal length of 12π.

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Answer

Burning of coal undergoes combustion reaction. Combustion reaction is a type of reaction in which chemical species experiences oxidation by undergoing a reaction with the oxidizing agent which results in the emission of energy in the form of heat. It is an exothermic process.

Step-by-step explanation:

Answer:

5/7 is the answers for the question

Applying the rules of exponents, the letter answers that form the code are: MATH IS NOT JUST ANOTHER FOUR LETTER WORD.

Some of the rules of exponents to be applied are as follows:

[tex]x^0 = 1\\\\x^m \times x^n = x^{(m + n)}\\\\x^{-m} = \frac{1}{x^m} \\\\x^m \div x^n = x^{(m - n)}\\\\[/tex]

If two expressions have the same value, both are said to be equivalent expressions.

1. [tex]3^2 \times 3^{-5} = 3^{2 - 5}\\\\[/tex]

[tex]3^-3 = \frac{1}{3^3} = \frac{1}{27}[/tex]

Answer: H

2. 3³/6² = 27/36 = 3/4

Answer: R

3. [tex]\frac{3^2}{3^5} = 3^{2 - 5} = 3^{-3]} = \frac{1}{3^3} = \frac{1}{27}[/tex]

Answer: M

4. 7²/7² = 49/49 = 7° = 1

Answer: J

5. 8^-2 = 1/8² = 1/64

Answer: A

6. (4²)(4³) = 4^(2 + 3) = [tex]4^5[/tex]

Answer: L

7. (3²)³ = 3²*³ = [tex]3^6[/tex]

8. 4° × 4^-1 = 1 × 1/4 = 1/4

Answer: E

9. [tex]\frac{(2^4)^3}{(2^7)(2^5)} = \frac{2^{12}}{2^{12}}[/tex] = 1

Answer: U

10. [tex](3^2)^{-1} = 3^{-2}[/tex]

Answer: I

11. [tex]1^{98}[/tex] = 1

Answer: D

12. [tex]y^{10} \div y^5 = y^{10 - 5} = y^5[/tex]

Answer: F

13. [tex]8^{-2} \times 8^4 = 8^{(-2 + 4)}[/tex] = 8² = 64

Answer: S

14. [tex]2^{-3} \times 3^{-2} =[/tex] 1/2³ × 1/3² = 1/8 × 1/9 = 1/72

Answer: O

15. [tex]\frac{3^2}{3^2} = 3^{2-2} = 3^0 = 1[/tex]

Answer: N

16. [tex](\frac{1}{2} )^{-1} = (2^{-1})^{-1}[/tex] = 2

Answer: T

Thus, applying the rules of exponents, the letter answers that form the code are: MATH IS NOT JUST ANOTHER FOUR LETTER WORD.

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Answer:

Vertically opposite angles

Answer:

B) Vertical angles (congruent)

Step-by-step explanation:

Hope this helps!

For all [tex]\log_{x_{1}} M[/tex] there is a [tex]\log_{x_{2}}N[/tex] such that [tex]N = M^{\frac{1}{\log_{x_{2}} x_{1}} }[/tex]. The logarithmic expression log ₂ 8 is equivalent to the logarithmic expression log ₃ 27.

Logarithms are trascedental function, that is, a function that cannot be described algebraically.

Let suppose we know that [tex]\log _{x_{1}} M = \log_{x_{2}} N[/tex] such that x₁ ≠ x₂. We proceed to prove that for all [tex]\log_{x_{1}} M[/tex] there is a [tex]\log_{x_{2}} N[/tex] by logarithm properties below:

For example, let suppose that x₁ = 2, M = 8 and x₂ = 3, then the value of N is:

[tex]N = 8^{\frac{1}{\log_{3} 2} }[/tex]

N = 27

Thus, for all [tex]\log_{x_{1}} M[/tex] there is a [tex]\log_{x_{2}}N[/tex] such that [tex]N = M^{\frac{1}{\log_{x_{2}} x_{1}} }[/tex]. The logarithmic expression log ₂ 8 is equivalent to the logarithmic expression log ₃ 27.

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Answer:

a

Step-by-step explanation:

"Zeroes" of the function are where the graph crosses the x- axis at -3 and 2

Answer:

 3 miles per hour

Step-by-step explanation:

he runs 1/3 mile in 1/9 of an hour

then

he runs (we multiply both sides by 9)

 9×(1/3) mile in 9×(1/9) of an hour

then

he runs

 (9/3) mile in (9/9) of an hour

then

he runs 

 3 mile in 1 hour

The equivalent expression of the given expression (10^5 / 54x^8)^1/3 would be equal to 5^(1/3) / 3x.

A fraction represents a part of a number or any number of equal parts.

The expression is given as

[tex](10x^5 / 54x^8)^{1/3}\\\\(5 / 27x^3)^{1/3}\\\\5^{1/3}/ (27x^3)^{1/3}\\\\5^{1/3} / 3x[/tex]

This is the simplest form of expression.

Thus, the equivalent expression is 5^(1/3) / 3x.

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Answer:

D

i did the test

Answer:

28x/15

Step-by-step explanation:

The type of test that will be required in the organization is a two samples test assuming unequal variance.

It should be noted that a hypothesis simply means a statement of expectation that will be tested by research.

From the complete question, the type of test that will be required in the organization is a two samples test assuming unequal variance. This is performed on the data of two random samples.

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volume of cylinder: π * radius² * height

=============

⇒ π * 4² * 4

⇒ π * 16 * 4

⇒ 64π

Thus the volume of cylinder is 64π cm³

Question :-

Answer :-

[tex] \rule{180pt}{4pt}[/tex]

Diagram :-

[tex]\setlength{\unitlength}{1mm}\begin{picture}(5,5)\thicklines\multiput(-0.5,-1)(26,0){2}{\line(0,1){40}}\multiput(12.5,-1)(0,3.2){13}{\line(0,1){1.6}}\multiput(12.5,-1)(0,40){2}{\multiput(0,0)(2,0){7}{\line(1,0){1}}}\multiput(0,0)(0,40){2}{\qbezier(1,0)(12,3)(24,0)\qbezier(1,0)(-2,-1)(1,-2)\qbezier(24,0)(27,-1)(24,-2)\qbezier(1,-2)(12,-5)(24,-2)}\multiput(18,2)(0,32){2}{\sf{4 \: m}}\put(9,17.5){\sf{4 \: m}}\end{picture}[/tex]

Solution :-

As per provided information in the given question, we have been given that the Radius of a cylinder is 4 m. The height of a cylinder is 4 m. We have been asked to find the volume of a right cylinder.

To calculate the volume of a right cylinder, we will apply the formula below :-

[tex] \bigstar \: \: \: \boxed{ \sf{ \: \: Volume_{(Cylinder)} = \pi r^2 h \: \: }}[/tex]

Substitute the given values into the above formula and solve for Volume :-

[tex]\sf:\implies Volume_{(Cylinder)} = \pi r^2 h[/tex]

[tex]\sf:\implies Volume_{(Cylinder)} = \pi \times (4 \: m)^2 \times 4 \: m [/tex]

[tex]\sf:\implies Volume_{(Cylinder)} = \pi \times 16 \:m^2 \times 4 \: m [/tex]

[tex]\sf:\implies Volume_{(Cylinder)} = \pi 64 \: m^3[/tex]

[tex]\sf:\implies\bold{Volume_{(Cylinder)} = 64\pi \: m^3}[/tex]

Therefore :-

[tex]\\[/tex]

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Have a great day! <33

Answer:

Formula for the area of a circle;

A = π[tex]r^{2}[/tex]

Where 'π' represents pi(22/7 or 3.14), and 'r' stands for the radius being squared.

But, we are given a diameter instead of a radius.

So to find the radius of the diameter we must find 1/2(half) of the diameter:

Diameter/2 = Radius

Plug in what we know:

D/2 = R

8/2 = R

4 = R, 4 is our radius.

Now we use this radius in our formula;

A = π[tex]r^{2}[/tex]

A = 3.14(4^2) ← (The symbol ' ^ ' means to the power of.)

A = 3.14(16)

A = 50.24 centimetres is the area for this circle.

Answer: $104,000

Step-by-step explanation:

34,000+20x(3500)

34,000+70,000

Answer:

16

Step-by-step explanation:

First, you can create a ratio:

Number of people/percentage of total

So 9 being 55% of the painting crew would be:

[tex]\frac{9}{0.55}[/tex], because we are trying to find the total number of painters, you can create another fraction where x is the numerator (number of people) and the denominator is 1 (or 100% of the painters). [tex]\frac{x}{1}[/tex]

Because these fractions are proportions of the same thing, we can set them equal to each other.

[tex]\frac{9}{0.55} =\frac{x}{1}[/tex], cross multiplying gives:

9=0.55x

Dividing both sides by 0.55 gives:

x=(around) 16

Subtraction property of equality

====================================================

Reason:

We subtract 18 from both sides to go from 4x+18 = 78 to 4x = 60

So we use the aptly named subtraction property of equality.

In general that rule is if a = b, then a-c = b-c

Answer:

5:35

Step-by-step explanation:

since he started at 3:20 , to find when he ended you add the 2 hours to that, which gives you 5:20. but, you still have the fifteen minutes which you just add to 5:20, giving you 5:35.