A local television station sells time slots for programs in 303030-minute intervals. If the station operates 242424 hours per day, every day of the week, what is the total number of 303030-minute time slots the station can sell for Tuesday and Wednesday

This is not an identity.

[tex]\dfrac{2(\cos(x)\sin(x) - \sin(x)\cos(2x))}{\sin(2x)} \neq \sec(x)[/tex]

Check x = π/4, for which we have cos(π/4) = sin(π/4) = 1/√2. Together with sin(2•π/4) = sin(π/2) = 1 and cos(2•π/4) = cos(π/2) = 0, the left side becomes 1, while sec(π/4) = 1/cos(π/4) = √2.

Keeping the left side unchanged, the correct identity would be

[tex]\dfrac{2(\cos(x)\sin(x) - \sin(x)\cos(2x))}{\sin(2x)} = -2\cos(x) + 1 + \sec(x)[/tex]

To show this, recall

• sin(2x) = 2 sin(x) cos(x)

• cos(2x) = cos²(x) - sin²(x)

• cos²(x) + sin²(x) = 1

Then we have

[tex]\dfrac{2(\cos(x)\sin(x) - \sin(x)\cos(2x))}{\sin(2x)} = \dfrac{2\cos(x)\sin(x) - 2\sin(x)\cos(2x)}{\sin(2x)} \\\\ = \dfrac{\sin(2x) - 2\sin(x)\cos(2x)}{\sin(2x)} \\\\ = 1 - \dfrac{2\sin(x)\cos(2x)}{\sin(2x)} \\\\ = 1 - \dfrac{2\sin(x)(\cos^2(x) - \sin^2(x))}{2 \sin(x)\cos(x)} \\\\ = 1 - \dfrac{\cos^2(x) - \sin^2(x)}{\cos(x)} \\\\ = 1 - \cos(x) + \dfrac{\sin^2(x)}{\cos(x)} \\\\ = 1 - \cos(x) + \dfrac{1 - \cos^2(x)}{\cos(x)} \\\\ = 1 - \cos(x) + \sec(x) - \cos(x) \\\\ = -2\cos(x) + 1 + \sec(x)[/tex]

Answer:

243 students' favorite color is red

Step-by-step explanation:

if 55% of the students said their favorite color was blue, then 45% chose that red was their favorite color

we can get 45% of 540 using a cross-multiplication equation

45% is 45/100

45/100 is to ?/540

the (?) represents the value of students who chose red as their favorite color (we do not know this but we can figure it out using cross-multiplication)

45 times 540 is 24300

24300/100 = 243.

Give brainliest, please!

hope this helps :)

Answer:

1029 minutes or 17.15 hours

Step-by-step explanation:

25+0.06M=86.74

0.06M=61.74

M=61.74/0.06=1029

The end behavior is that as x approaches positive infinity, f(x) approaches positive infinity and as x approaches negative infinity, f(x) approaches negative infinity

The function is given as:

f(x) = 8x+8

The above function is a linear function.

A linear function is represented as:

f(x) = mx + b

This means that the slope of f(x) is 8 (a positive number)

For a linear function with a positive slope, the end behavior is that:

As x approaches positive infinity, f(x) approaches positive infinity and as x approaches negative infinity, f(x) approaches negative infinity

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Answer:

should be 63

Step-by-step explanation:

CDE = CDB + BDA + ADE

CDE = 42° + 37° + 20°

CDE = 99°

hope it helps...!!!

Answer:99 degrees

Step-by-step explanation:

Angle CDB + Angle BDA + Angle ADE= Angle CDE

42+37+20=99

Addition Property of Equality is basically a complex way of saying add the same number to both sides.  In this problem we are trying to isolate x for it to be by itself so we must deal with -6.  Since we have -6 on one side we must use the "Addition Property of Equality" to add 6 to both sides which would cancel out the -6 and add 6 to 14.

Therefore, the option that best fits the description on what number we would have to use to get added in the equation would be option D, 6.

Answer:

its y=2x so yaa thats ittt

[tex] \huge \qquad \sf \: Answer[/tex]

Here we go ~

1. A circle can be named by their Centre, so here in the diagram it's :

2. Name 4 radii :

Radii are the line segments that joins the centre and boundary of circle.

They are :

3. 2 Major arcs :

considering two points on a circle, and joining them forms a curve ( you can say part of circumference )

When we consider two points two arcs are formed and the arc with more length is known as Major Arc

That is :

4. A Semicircle :

Semicircle is special arc which is formed when two arcs formed by the points are equals to one another... it's also half the Perimeter of circle.

that is :

5. 3 minor arcs :

The arc formed by two points having lesser length is known as minor arc.

that is :

6. 3 Central angles :

Central angles are angles formed by arcs on centre of the circle ~

that is :

7. A diameter :

Diameter is a chord that passes through centre of the circle.

8. Congruent Angles :

In the given figure, there are two equal/congruent angles that are ~

9. Adjacent arcs :

The arcs that have one common end point are known as Adjacent arcs ~

that are :

Answer:

A circle is named by its center.  The center of the given circle is A, therefore:

Name of the circle:  A

The radius is any line segment from the center of the circle to the perimeter.

Name 4 radii:  [tex]\sf AC, \quad AB, \quad AG, \quad A\,F[/tex]

A major arc is an arc whose measure is greater than 180°.

When naming a major arc, the first point and last point are the endpoints, and we also need include the name of any point between those two endpoints.

2 major arcs:  [tex]\sf \widehat{CEG},\quad \widehat{BCF}[/tex]

A semi-circle is half a circle with an arc that measures 180°.

Its endpoints lie on the diameter of the circle.  We need three points to name a semicircle (the endpoints and a point between the endpoints).

A semi-circle:  CEF

A minor arc is an arc whose measure is less than 180°.

3 minor arcs:  [tex]\sf \widehat{FG}, \quad \widehat{GB}, \quad \widehat{BC}[/tex]

A central angle has its vertex at the center of the circle, and is formed by 2 radii.  When naming the central angle, the middle letter is the center of the circle.

3 central angles:  [tex]\sf \angle F\,AG, \quad \angle GAB, \quad \angle BAC[/tex]

The diameter is the widest part of the circle.  It is a straight line segment that passes through the center of the circle.

A diameter:  CF

Congruent angles are angles with the same measure.
On the diagram, the same angle measures are indicated by the addition of the same number of dashes on the angle sign.

Congruent angles:  [tex]\sf \angle F\,AG, \quad \angle GAB[/tex]

Adjacent arcs are arcs that have one point in common.

Adjacent arcs:  [tex]\sf \widehat{GB}[/tex] and [tex]\sf \widehat{BC}[/tex]  (they share point B)

Answer:

(x+5) (x+5)

Step-by-step explanation:

it's just (x+5)^2 twice

(-8 * 9 * -5 )- -14

360 - - 14 = 360 + 14 = 374

Answer:

-11

Step-by-step explanation:

I don't know how to type Numerical using a cellphone

Answer: A

Step-By-Step Explanation: if n is greater than or equal to 2 is an add integer then the domain of: f(x)-x^2+8 is the solution to the inequality 2+8 greater than or equal to 0. which of the following statements is true?

Using relations in a right triangle, it is found that the values of x and y are given by: x = 24, y = 46.4, given by option a.

The relations in a right triangle are given as follows:

First, we start with the vertical line h that divides y, that is opposite to an angle of 30º, with hypotenuse 34, hence:

sin(30º) = h/34

0.5 = h/34

h = 17.

Then, h is opposite to an angle of 45º, while the hypotenuse is x, hence:

[tex]\sin{45^\circ} = \frac{17}{x}[/tex]

[tex]x = \frac{17}{\sin{45^\circ}}[/tex]

x = 24.

y is divided into two segments.

Then:

[tex]\cos{30^\circ} = \frac{y_1}{34}[/tex]

[tex]y_1 = 34\cos{30^\circ} = 29.4[/tex]

[tex]\cos{45^\circ} = \frac{y_2}{24}[/tex]

[tex]y_2 = 24\cos{45^\circ} = 17[/tex]

Then, the value of y is given by:

[tex]y = y_1 + y_2 = 29.4 + 17 = 46.4[/tex].

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The lateral area is 117 square centimeters and the surface area is 292.72 square centimeters

The given parameters are:

The lateral area is calculated using:

Lateral = 0.5 * (Perimeter of base) * Slant height

This gives

Lateral = 0.5 * (3 * 6) * 13

Evaluate

Lateral = 117

Hence, the lateral area is 117 square centimeters

The surface area is calculated using:

Surface = l²√3

This gives

Surface = 13² * √3

Evaluate

Surface = 292.72

Hence, the surface area is 292.72 square centimeters

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Answer:

L = 117 cm2 ; S = 132.6 cm2

Step-by-step explanation:

Substitute the known value of the base edge length s=6 cm into the formula for the perimeter of the regular triangle, P=3s.

P=3(6)=18

Therefore, the perimeter of the regular triangle is 18 cm.

Substitute the known values of the perimeter P=18 cm and the slant height l=13 cm into the formula for the lateral area of a regular pyramid, L=1/2Pl.

L=1/2(18)(13)=117

Therefore, the lateral area of the pyramid is 117 cm2.

The surface area of a regular pyramid with lateral area L and base area B is S=L+B, or S=1/2Pl+B.

The base of the regular triangular pyramid is the equilateral triangle. The area of the triangle with the base b and the height h is B=1/2bh.

Answer:

its SUMMER wth

Step-by-step explanation:

Its time too TURN UPPP!

Answer:

450/31=14.51km/litre

Using it's concept, it is found that the desired probability is given by:

P(Take the bus | Junior) = 0.5714 = 57.14%.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, we have that out of the 13 + 20 + 2 = 35 Junior students, 20 take the bus, hence the probability is given by:

P(Take the bus | Junior) = 20/35 = 0.5714 = 57.14%.

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Answer:

1)acute triangle

2) right angle

3) obtuse triangle

Step-by-step explanation:

please mark me as brainlest

Answer:

1. Acute 2. Obtuse 3.  Right

Step-by-step explanation:

Obtuse Triangle Definition

An obtuse triangle is one that has an angle greater than 90°. Because all the angles in a triangle add up to 180°, the other two angles have to be acute (less than 90°). It's impossible for a triangle to have more than one obtuse angle.

Acute Triangle Definition

An acute triangle is defined as a triangle in which all of the angles are less than 90°. In other words, all of the angles in an acute triangle are acute.

A Right Triangle has a right angle

Hope this helps.

Using a system of equations, it is found that the earnings of Mohammed are given by: 18,212 aed.

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are given as follows:

The earnings of ahmed and bekhit are in the ratio 3:7, hence:

[tex]\frac{x}{y} = \frac{3}{7}[/tex]

[tex]3y = 7x[/tex]

[tex]y = \frac{7x}{3}[/tex]

That of bekhit and saeed is 4:9, hence:

[tex]\frac{y}{z} = \frac{4}{9}[/tex]

[tex]4z = 9y[/tex]

[tex]z = \frac{9y}{4}[/tex]

[tex]z = \frac{63x}{12}[/tex]

The ratio of mohammed and saeed is 7:6, hence:

[tex]\frac{z}{w} = \frac{7}{6}[/tex]

[tex]7w = 6z[/tex]

[tex]w = \frac{6z}{7}[/tex]

[tex]w = \frac{378x}{84}[/tex]

The sum is of 52950, hence:

[tex]x + y + z + w = 52950[/tex]

[tex]x + \frac{7x}{3} + \frac{63x}{12} + \frac{378x}{84} = 52950[/tex]

[tex]1099x = 52950 \times 84[/tex]

[tex]x = \frac{52950 \times 84}{1099}[/tex]

[tex]x = 4047[/tex]

Hence, Mohammed earnings in aed are given as follows:

[tex]w = \frac{378 \times 4047}{84} = 18212[/tex]

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Answer:

[tex]f^{-1}(x) = 9x -18.[/tex]

Step-by-step explanation:

[tex]y=f(x)=\dfrac 19 x +2\\\\\text{Replace x with y and then solve for y,}\\\\~~~~~~~x = \dfrac 19 y+2\\\\\implies 9x =y + 18~~~~~~~~~~~~~~~;[\text{Multiply both sides by 9}]\\ \\\implies y = 9x -18\\\\\implies f^{-1}(x) = 9x -18\\\\\text{Hence, the inverse of the given function is}~ f^{-1}(x) = 9x -18.[/tex]

Answer:

What is Parabola:

a symmetrical open plane curve formed by the intersection of a cone with a plane parallel to its side. The path of a projectile under the influence of gravity ideally follows a curve of this shape.

What is the transformation of parabolas?

The function y=x2+b has a graph which simply looks like the standard parabola with the vertex shifted b units along the y-axis. Thus the vertex is located at (0,b). If b is positive, then the parabola moves upwards and, if b is negative, it moves downwards. Similarly, we can translate the parabola horizontally

Step-by-step explanation:

Answer:

-1

Step-by-step explanation:

Find the difference of each sequence

19 - 15 = 4

15 - 11 = 4

11 - 7 = 4

7- 3 = 4

3 - ? = 4

Subtract 4 from the 3

3 - 4 = -1

Therefore, the next term is -1

Answer:

11/4

Step-by-step explanation:

The question in math symbols 3/4 - 1/2(4*-1)

By Pemdas (order of operations) we start with the parenthesis
3/4 - 1/2(4*-1) = 3/4 - 1/2(-4)
Because there are parenthesis next to a number, this is a multiplication

3/4 - 1/2(-4) = 3/4 - (-2)
The double negative can be converted into a positive
3/4 - (-2) = 3/4 + 2

Then we can convert the 2 into a fraction of fourths

3/4 + 2 = 3/4 + 8/4

Now we just add the numerators and keep the denominator

3/4 + 8/4 = 11/4

Answer:

It's A

Step-by-step explanation:

Thx to the guy in the comments above

Answer:

It's A

Step-by-step explanation:

It's right

Answer:

Step-by-step explanation:

Which of the following is the formula for the volume of a cube?

a. s³

b. s²

c. π r²

d. π r³​

V = s³

Answer:

_4

Step-by-step explanation:

x+19/5=3 cross multiply

x+19=3*5

x+19=15

x=15-19

x=-4

The remainder when (x + 19) is divided by 5 is 2.

If the positive integer x has a remainder of 3 when divided by 5, it can be represented as:

x = 5a + 3, where "a" is a non-negative integer.

Now, let's consider the expression (x + 19) and determine the remainder when it is divided by 5:

x + 19 = (5a + 3) + 19

       = 5a + 22

When we divide 5a + 22 by 5, we find:

(5a + 22) = 5(a + 4) + 2

Therefore, the remainder when (x + 19) is divided by 5 is 2.

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Using the circle theorems, the value of z is 45

From the question, we are to determine the value of z

From the given information,

KM is a diameter

∴ ∠KLM = 90° (Angle in a semicircle)

Also, ΔKLM is isosceles

∴ ∠KML = ∠MKL (Base angles of an isosceles triangle)

Then,

∠KML + ∠MKL + ∠KLM = 180° (Sum of angles in a triangle)

2× ∠KML + 90° = 180°

2× ∠KML = 180° - 90°

2× ∠KML = 90°

∠KML = 90°/2

∠KML = 45°

Now, we can observe that

z° = ∠KML (Angles in alternate segment)

But,

∠KML = 45°

∴ z = 45

Hence, the value of z is 45

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