Solve and graph

3/4 n + 12 ≥ -36

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:

x > 2/3

Step-by-step explanation:

2x -x - 2 > 0  

add 2x and x (It becomes 3x)

3x -2 >0

subtract 0 from both sides

3x> 2

divide 3 on both sides

And the answer is

X> 2/3

The surface area of the figure which comprises two rectangular prisms is: 328 in.²

Surface area = 2(wl+hl+hw)

Decompose the given figure into two.

Surface area of the figure = surface area of the top rectangular prism + surface area of the bottom rectangular prism - 2(area of base of the top rectangular prism)

Surface area of top rectangular prism:

l = 6 in.

w = 4 in.

h = 5 in.

Surface area = 2(wl+hl+hw) = 2(4×6 + 5×6 + 5×4) = 148 in.²

Surface area of bottom rectangular prism:

l = 6 in.

w = 9 in.

h = 4 in.

Surface area = 2(wl+hl+hw) = 2(9×6 + 4×6 + 4×9) = 228 in.²

Area of base of the top rectangular prism:

Area = (l)(w) = (6)(4) = 24 in.²

Surface area of the figure = 148  + 228 - 2(24)

Surface area of the figure = 328 in.²

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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: $7,764.85

Step-by-step explanation:

Use the formula for Compound Interest: CI = P(1 + r/n)^nt

CI = 5000(1 + 0.045/1)^10

CI = 5000(1.045)^10

CI ≅ $7,764.85

After 10 years, the balance should be $7,764.85

Answer:

$7764.85

Step-by-step explanation:

Assume the compounding is annual.

F = P(1 + r/n)^(nt)

F = 5000(1 + 0.045/1)^10

F = 7764.85

Answer: $7764.85

Answer:

[tex]\huge\boxed{\bf\:2r^{7}}[/tex]

Step-by-step explanation:

Let the variable be taken as 'r'.

Then, by raising it to the 7th power, we'll get the result as [tex]\downarrow[/tex]

 [tex]\sf\:Raise \: r \: to \: the \: 7^{th} \: power = r \: with \: 7 \: as \: its \: exponent.\\\\\sf\:Then,\\\dashrightarrow \underline{\bf\:r \: ^{7}}[/tex]

Now, by doubling the result....

[tex]\sf\:To \: double \: the \: result = multiply \: the \: result \: by \: 2.\\\\\sf\:Then,\\\dashrightarrow \sf\:r \: ^{7} \\=\boxed{\bf\: 2r\:^{7}}[/tex]

[tex]\rule{150pt}{2pt}[/tex]

Answer:

2r⁷

Step-by-step explanation:

Raise r to 7th power

= r⁷

Double it

= 2r⁷

_________

Hope it helps ⚜

Answer:

2 rad

Step-by-step explanation:

Given :

Formula

Solving for β

The exchange rate from US dollars to Myanma Kyat is given as:

1 : (45.85 × 1.507) × (0.0928) (Option C).

The rate at which one currency is converted to another is what is referred to as Exchange Rate.

Recall that the following is given from the question:

Step One - Convert from USD to BDT

This gives us 1 : (45.85 × 1.507); Hence, the rate from BDT to MMK is 1 : 0.0928

Step Two: - Ascertain the current rate for USD to MMK

This gives us - 1 : (45.85 × 1.507) × (0.0928). To get a simplified version. One would have to open the brackets.

However, from the above, it is clear that the correct answer is Option C.

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Answer:

y = 1, 1.319, 1.024, 0

Step-by-step explanation:

Given equation:

[tex]y=(1+x)\cos x[/tex]

[tex]\textsf{when}\:x=0:[/tex]

[tex]\begin{aligned} \implies y & =(1+0)\cos 0\\\implies y & = 1\end{aligned}[/tex]

[tex]\textsf{when}\:x=\dfrac{\pi}{6}:[/tex]

[tex]\begin{aligned} \implies y & =\left(1+\frac{\pi}{6}\right)\cos \left(\frac{\pi}{6}\right)\\\implies y & = 1.319\: \sf (3\:dp)\end{aligned}[/tex]

[tex]\textsf{when}\:x=\dfrac{\pi}{3}:[/tex]

[tex]\begin{aligned} \implies y & =\left(1+\frac{\pi}{3}\right)\cos \left(\frac{\pi}{3}\right)\\\implies y & = 1.024\: \sf (3\:dp)\end{aligned}[/tex]

[tex]\textsf{when}\:x=\dfrac{\pi}{2}:[/tex]

[tex]\begin{aligned} \implies y & =\left(1+\frac{\pi}{2}\right)\cos \left(\frac{\pi}{2}\right)\\\implies y & = 0\end{aligned}[/tex]

hope it really helps......!!!!!

radius : 3.95 ft

[tex]\sf volume \ of \ cone: \dfrac{1}{3} \pi r^2h[/tex]

[tex]\hookrightarrow \sf \dfrac{1}{3} \pi r^2(9) = 147[/tex]

[tex]\hookrightarrow \sf r^2 = \dfrac{147*3}{\pi (9)}[/tex]

[tex]\hookrightarrow \sf r = \sqrt{\dfrac{147*3}{\pi (9)}}[/tex]

[tex]\hookrightarrow \sf r = 3.95 \ ft[/tex]

Answer:

that would be 1/1 or just 1 as your equation of the line.

Step-by-step explanation:

you find this by taking one part of the grid where a line perfectly intersects 2 parts, and you count to the next spot where this happens, in this case would be to the right 1 and up one, making the slope 1/1 which you can simplify into 1. and slope works like y/x, which y is the up and down movement while x is the side to side.

Answer:

y = x + 6

Step-by-step explanation:

two points are;

(0 , 6) & (4 , 10)

The slope: [tex]\frac{10-6}{4-0} =\frac{4}{4} =1[/tex]

The equation:

[tex]y-10=1(x-4)[/tex]

[tex]y-10=x-4[/tex]

[tex]y=x-4+10[/tex]

[tex]y=x+6[/tex]

Hope this helps

Multiply the upper system by -4:

[tex] - 7x - 5y = - 11[/tex]

[tex]7x + 5y = 7[/tex]

[tex]0 = - 3[/tex]

[tex]this \: system \: admits \: no \: solutions[/tex]

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.

Answer:

i dont know but i will try

Step-by-step explanation:

example

34 dolars look i have answer

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

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:

A. The customer paid the same

amount the store owner paid.

Step-by-step explanation:

its adding 25% of the original $180, then immediately decreasing 25% of the original $180, thus the customer paid the same amount the store owner paid.

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:

Frequency distribution tables are a tool for organizing data and obtaining additional information.

The frequency distribution is a term to refer to a type of tables that are used in the area of statistics to organize data.

In the frequency distribution tables, the different variables are arranged by rows. The columns show the number of occurrences for each value, percentages, among others. These types of tables are an ideal tool to analyze data and obtain specific information.

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Answer: 20 exhibits

Step-by-step explanation:

    If 11 is 55%, we need to find 100%. We will set up a proportion and solve. Percents are on the bottom, exhibits are on the top.

[tex]\frac{11}{55}[/tex] = [tex]\frac{x}{100}[/tex]

    Cross multiply:

1,100 = 55x

    Divide:

20 = x

    There are 20 exhibits in total.

Answer:

[tex]\Longrightarrow: \boxed{\sf{x=-\dfrac{11}{30} }}[/tex]

Step-by-step explanation:

Isolate the term of x from one side of the equation.

First, add by 3/4 from both sides.

[tex]\sf{-\dfrac{3}{2}x-\dfrac{3}{4}+\dfrac{3}{4}=-\dfrac{1}{5}+\dfrac{3}{4} }[/tex]

Solve.

⇒ = -3/2x=11/20

Then, you multiply by 2 from both sides.

2(-3/2x)=11*2/20

Solve.

11*2/20

11*2=22

22/20

Common factor of 2.

11/10

-3x=11/10

Divide by -3 from both sides.

[tex]\sf{\dfrac{-3x}{-3}=\dfrac{\dfrac{11}{10}}{-3}}[/tex]

Solve.

[tex]\Longrightarrow:\boxed{\sf{x=-\dfrac{11}{30} }}[/tex]

I hope this helps! Let me know if you have any questions.

Answer:

28x/15

Step-by-step explanation:

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.

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:

The answer is 7/30

Step-by-step explanation:

According to counting rules, we use permutation when we want to choose successively and without replacement, as given in this problem

Rule of permutation: nPr = n! /(n-r)!

where: n:objects and r:sample

n of mysteries=9  ;   r of mysteries=1  ;  ⇒ 9P1

n of biographies=7  ;  r of biographies=1  ;  ⇒ 7P1

n of total books=9+7=15  ;  r of total books=2  ;  ⇒15P2

Probability=( 9P1 x 7P1 ) / 15P2 = 49/210 = 7/30

Hope this helps :)

Answer:

a

Step-by-step explanation:

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

Answer:

A

Step-by-step explanation:

We need to first find the number of dice rolls. The amount of dice rolls equals 8+9+5+15+2+11=50. And 8 out of thouse 50 were ones, so 8 out of 50 rolls is also 4 out of 25 rolls.