PLEAS HELP!
The diagram shows a convex
polygon.
What is the value of a?

To find the distance between Basti and Cian, we can use the law of sines in triangle ABC. The law of sines states that the ratio of the length of a side to the sine of the opposite angle is constant for all sides and their corresponding angles in a triangle.

Let's label the distance between Basti and Cian as "x". We know that the measure of angle ABC is 50 degrees and the measure of angle BAC is 60 degrees. We also know that Ali is exactly 150 ft away from Basti.

Using the law of sines, we can set up the following equation:

sin(50°) / 150 = sin(60°) / x

To solve for "x", we can rearrange the equation:

x = (150 * sin(60°)) / sin(50°)

Using a calculator, we can evaluate the expression:

x ≈ (150 * 0.866) / 0.766

x ≈ 168.4 ft

Therefore, the distance between Basti and Cian is approximately 168.4 ft.

By translation, the image of the triangle X is equivalent to the triangle E.

Herein we find the representation of a triangle, whose vertices are described below:

A(x, y) = (5, 5), B(x, y) = (5, 6), C(x, y) = (7, 5)

Whose image must be determined by a rigid transformation known as translation:

P'(x, y) = P(x, y) + T(x, y)

Where:

Now we proceed to determine the images of the vertices of the triangle:

A'(x, y) = (5, 5) + (4, - 3)

A'(x, y) = (9, 2)

B'(x, y) = (5, 6) + (4, - 3)

B'(x, y) = (9, 3)

C'(x, y) = (7, 5) + (4, - 3)

C'(x, y) = (11, 2)

Therefore, the triangle E is the image of the triangle X.

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Answer:

The last one

Step-by-step explanation:

Answer:

12, 23, 67, 0 is the answer

Answer:

a or b

Step-by-step explanation:

we have you find the answer and an integer in a set of number or its opposites

Answer:

C

Step-by-step explanation:

 2

+2

-----

 4

Answer:

23.5

Step-by-step explanation:

13.2 + 0.9 = 14.1

14.1 / 0.6 = 23.5

Answer:

Step-by-step explanation:

\(\frac{d}{dx} [cos(3x^2) \sqrt[3]{5x^3 -1} +sin(4x^3)]^4\\\\=4[cos(3x^2) \sqrt[3]{5x^3 -1} +sin(4x^3)]^3\; \frac{d}{dx} [cos(3x^2) \sqrt[3]{5x^3 -1} +sin(4x^3)] --- eq(1)\)

Lets look at the derivative part:

\(\frac{d}{dx} [cos(3x^2) \sqrt[3]{5x^3 -1} +sin(4x^3)] \\\\= \frac{d}{dx}[cos(3x^2) \sqrt[3]{5x^3 -1} ] + \frac{d}{dx}[sin(4x^3)]\\\\=cos(3x^2) \frac{d}{dx}[ \sqrt[3]{5x^3 -1} ] + \sqrt[3]{5x^3 -1}\frac{d}{dx}[ cos(3x^2) ] + cos(4x^3) \frac{d}{dx}[4x^3]\\\\=cos(3x^2) \frac{1}{3} (5x^3 -1)^{\frac{1}{3} -1} \frac{d}{dx}[5x^3 -1] + \sqrt[3]{5x^3 -1} (-sin(3x^2))\frac{d}{dx}[ 3x^2] + cos(4x^3)[(4)(3)x^2]\)

\(=\frac{cos(3x^2) 5(3)x^2}{3(5x^3 - 1)^{\frac{2}{3} }} -\sqrt[3]{5x^3 -1}\; sin(3x^2) (3)(2)x + 12x^2 cos(4x^3)\\\\=\frac{5x^2cos(3x^2) }{(5x^3 - 1)^{\frac{2}{3} }} -6x\sqrt[3]{5x^3 -1}\; sin(3x^2) + 12x^2 cos(4x^3)\)

Substituting in eq(1), we have:

\(\frac{d}{dx} [cos(3x^2) \sqrt[3]{5x^3 -1} +sin(4x^3)]^4\\\\=4[cos(3x^2) \sqrt[3]{5x^3 -1} +sin(4x^3)]^3\; [\frac{5x^2cos(3x^2) }{(5x^3 - 1)^{\frac{2}{3} }} -6x\sqrt[3]{5x^3 -1}\; sin(3x^2) + 12x^2 cos(4x^3)]\)

A is 60,503.200275

B is 60,503.200275

Answer:

Step-by-step explanation:

You want an inequality and its solution for finding the cost of goggles that put Winston over his $150 budget when combined with the purchase of a $90.50 helmet.

If x represents the cost of the goggles, then Winston's total spending is ...

  90.50 + x

If that is over is $150 budget, the relation is described by ...

  90.50 +x > 150

Subtracting 90.50 from both sides gives ...

  x > 59.50

This tells us the goggles cost more than $59.50.

<95141404393>

Answer: sdddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddd

Step-by-step explanation:

9514 1404 393

Answer:

  18

Step-by-step explanation:

 (1044 nails)/(58 nails/pkg) = 18 pkg

The builder should purchase 18 packages of nails.

The probability that exactly 3 automobiles fail the test is 0.01733.

The probability that fewer than 3 of the automobiles fail the test is

0.9803.

Complete question:

Car inspection of all the registered automobiles in Colorado, 5% fail the state emissions test. Twelve Automobiles are selected at random to undergo an emissions test. Round the answers to at least four decimal places

(a) Find the probability that exactly three of them fail the test.

(b) Find the probability that fewer than three of them fail the test.

What is Binomial Distribution?

The probability of success is said to follow a binomial distribution when many similar and independent Bernoulli trials are conducted. The likelihood of success and the quantity of tries are its dimensions. For every trial, the chance of success is the same.

State emission test failure probability is 0.05.

12 vehicles total are present.

Let's look at failing the test as a victory. If success is represented by p, then p = 0.05.

Considering that n represents the number of cars, n equals 12.

Let X represent how many vehicles fail the test.

So, X ∼ Bin (8,0.05)

P(X=x)= \(^{n}C_{x}p^{x}(1-p)^{n-x}\)

         = \(^{12}C_{x}0.05^{x}(0.95)^{12-x}\)

a) Probability that exactly 3 automobiles fail the test is given by,

  P(X=3)= \(^{12}C_{3}0.05^{3}(0.95)^{12-3}\)

             =0.01733

So, the probability that exactly 3 automobiles fail the test is 0.01733.

b) Probability that fewer of them than 3 fail the test is given by,

P(X<3)= P(X≤2)

         = P(X=0)+P(X=1)+P(X=2)

         =  \(^{12}C_{0}(0.05)^{0}(0.95)^{12}\) + \(^{12}C_{1}(0.05)^{1}(0.95)^{11}\)+\(^{12}C_{2}(0.05)^{2}(0.95)^{10}\)

         = 0.9803

Hence, the probability that fewer than 3 of the automobiles fail the test is

0.9803.

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This statement essentially establishes a relationship between the sets X, Y, and z, stating that there exists a subset Y for each element x in X such that the elements in Y are present in some subset z of X.

The given statement is a symbolic representation of a logical proposition involving quantifiers and logical connectives. Let's break down its meaning:

∀ X ∃ Y ∀u(u ∈ Y ↔ ∃z(z ∈ X ∧ u ∈ z))

The symbol ∀ (universal quantifier) indicates that the statement applies to all elements in the set X.

The symbol ∃ (existential quantifier) indicates that there exists at least one element in the set Y.

The statement can be interpreted as follows:

"For all elements x in the set X, there exists a set Y such that for every element u in Y, u is an element of Y if and only if there exists a set z in X such that u is an element of z."

In simpler terms, the statement asserts that for every element x in the set X, there is a set Y that contains elements u if and only if there exists a set z in X that also contains u.

It is important to note that the precise meaning and implications of this statement may depend on the context and interpretation of the sets X, Y, and their elements.

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Answer:

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

Find the difference of the initial and used amounts:

Answer:

Exact form = 476/135

Decimal form = 3.5259

Mixed Number form = 3 71/135

Step-by-step explanation:

Reduce the expression, if possible, by cancelling the common factors.

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the expression cos(x − y) − cos(x + y) simplifies to 2sin(x)sin(y).

what is  expression ?

In mathematics, an expression is a combination of mathematical symbols (such as numbers, variables, and operators) that represents a mathematical object or relationship.

In the given question,

We can use the trigonometric identity cos(a - b) = cos(a)cos(b) + sin(a)sin(b) to simplify cos(x - y), and cos(a + b) = cos(a)cos(b) - sin(a)sin(b) to simplify cos(x + y).

cos(x - y) = cos(x)cos(y) + sin(x)sin(y)

cos(x + y) = cos(x)cos(y) - sin(x)sin(y)

Therefore,

cos(x - y) - cos(x + y) = (cos(x)cos(y) + sin(x)sin(y)) - (cos(x)cos(y) - sin(x)sin(y))

= cos(x)cos(y) + sin(x)sin(y) - cos(x)cos(y) + sin(x)sin(y)

= 2sin(x)sin(y)

So, the expression cos(x − y) − cos(x + y) simplifies to 2sin(x)sin(y).

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simplify the expressions  cos(x − y) − cos(x + y) ?

Answer:

v = 5

Step-by-step explanation:

Collect like-terms:

\(8v = 3v + 25\)

\(8v - 3v = 25\)

\(5v = 25\)

Divide both sides by 5 to make v the subject:

\(v = 5\)

9514 1404 393

Answer:

  LA = 20π square units

  SA = 36π square units

  V = 16π cubic units

Step-by-step explanation:

The value of the radius is needed before any area calculations can be done. It can be found from the Pythagorean theorem:

  r² + 3² = 5²

  r = √(25 -9) = 4

__

The lateral area is given by the formula ...

  LA = πrs . . . . . where r is the radius and s is the slant height

  LA = π(4)(5)

  LA = 20π square units

__

The surface area is the sum of the lateral area and the base area. The latter is the area of a circle of radius 4.

  SA = πr² + LA

  SA = π(4²) +20π = 16π +20π

  SA = 36π square units

__

The volume is given by the formula ...

  V = 1/3πr²h

  V = 1/3π(4²)(3) = 16π

The volume is 16π cubic units.

Answer:

The answer is 32.50

Step-by-step explanation:

You would just keep counting up by fives and then you would also have to add tax because it is food -- I am happy to help! :)

Answer:

100 units.

Step-by-step explanation:

I am assuming that C is the cost.

You Can form the quadratic equation: 10530=x^2+5x+30. You put the left side to zero by subtracting 10530: x^2+5x+30-10530=0. You will get that x^2+5x-10500. You can use the quadratic formula or factoring. The factors that multiply to 10530 and add up to 5 is 105 and -100. You group: (x+105)(x-100)=0, you then use the zero-product property: x+105=0, x-100=0.

you get that x=100, -105. The number of units cant be negative, so x must be 100.

Answer:

156

Step-by-step explanation:

4x + 3 = 3(2x - 5)

4x + 3 = 6x - 15

3 = 2x - 15

2x = 18

x = 9

4(9) + 3

= 36 + 3

= 39

39 * 4 = 156

Hope it helps!

Answer: 156 inches

Step-by-step explanation:

So we know that all of the sides are equal to each other.

Now we need to know what x equals.

4x + 3 = 3(2x -5)

4x + 3 = 6x - 15

3 = 2x -15

18 = 2x

9 = x

Plug 9 into one of the equations.

4(9) + 3

36 + 3 = 39

39 * 4 = 156

Perimeter = 156 inches

Hope this helps!!! :)

Solution:

Given the equation;

Using completing the square method; take one to the other side of the equation and change the sign.

Add the square of half of the coefficient of x to both sides of the equation;

Factorize the left side and simplify the right side;

Thus, the form is;

And the solution is;

Answer:

23.5

Step-by-step explanation:

30.2-6.7=23.5

23.5+6.7=30.2

Answer:

i dont know sorry

Step-by-step explanation:

Answer:

The answer is below

Step-by-step explanation:

Let us assume that the length of the square be x. Therefore the area of the square is given as:

Area of square = length × length = x × x = x²

Given that the length of one side of the rectangle is twice the length of the other side. Let the length of the small side be a therefore the length of the long side = 2a

The area of the rectangle = length of small side × length of long side = a × 2a = 2a²

Since both the rectangle and square are to occupy the same space, hence:

\(Area\ of\ rectangle=Area\ of \ square\\\\2a^2=x^2\\\\a=\sqrt{\frac{x^2}{2} }\\ \\a=\frac{x}{\sqrt{2} }\)

Length of small side = a = \(\frac{x}{\sqrt{2} }\), length of long side = 2a = \(\frac{2x}{\sqrt{2} }\)

The length of the sides are length of the square side divide by √2 (\(\frac{x}{\sqrt{2} }\)) and twice the length of the square side divide by √2 (\(\frac{2x}{\sqrt{2} }\))

Thus, the scale factor from circle A to circle B is found to be 2.

The ratio between comparable measurements of just an element and a portrayal of that element is known as a scale factor in mathematics. The copy will be larger if the scaling factor is a whole number. A fractional scaling factor means that the duplicate will be smaller.

You must first choose which direction we are scaling in order to determine the scale factor:

The radius of circle A = 2 units

The radius of circle B = 4 units.

So, there is a dilation with the scale factor of 2 units as 2*2 = 4 units.

Thus, the scale factor from circle A to circle B is found to be 2.

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The number of tablets that should be taken each day by the patient who needs Synthroid is 1 tablet.

To find the number of tablets of Synthroid that should be taken, you convert the requirements from micrograms ( μg ) to milligrams ( mg).

1 milligram = 1, 000 micrograms ( μg )

25. 0 μg in milligrams is therefore:

= 25 / 1, 000

= 0. 025 mg

This means that the number of tablet to take is:

= Mg requirement / Mg of tablet

= 0. 025 / 0. 025

= 1 tablet

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Answer:

yes,you are finding the probalitiy of exactly 5 not

being broken