2cos(2x/3 - pi/4) - căn 3 = 0

Answer: x = -19

Step-by-step explanation:

Given

x + 7 = - 12

Subtract 7 on both sides

x + 7 - 7 = -12 - 7

\(\boxed{x=-19}\)

Hope this helps!! :)

Please let me know if you have any questions

Answer:

X=-19

Step-by-step explanation:

X+7=-12

subtract 7 from both sides

X=-19

Using the formula of surface area to calculate the height and using the formula for volume , The answer is 24.98 \(cm^{3}\) .

A cone is a three-dimensional geometric structure with a smooth transition from a flat base—often but not always circular—to the point at the top, also known as the apex or vertex.

The required formula are :

\(SA = \pi r (r + \sqrt {h^{2} + r ^ {2}})\)  (Surface Area)

\(V = \pi r^{2} \frac {h}{3}\) (Volume)

radius = 3 cm

Area= 66 \(cm^{2}\)

\(SA = \pi r (r + \sqrt {h^{2} + r ^ {2}})\)

h = 2.65 cm

\(V = \pi r^{2} \frac {h}{3} = \pi * 3^{2} * \frac {2.65}{3}\)

=24.98 \(cm^{3}\)

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If the length,breadth, height of cuboid are 16 m, 5 m,4 m , slant height of pyramid is 10m,  height be 6 m then the surface area of composite figure be 444 \(m^{2}\).

Given that the length,breadth,height of cuboid are 16m,5 m, 4m and slant height be 10 m and height be 6 m.

Surface area is basically sum of area of all the sides of a figure.

Surface area of composite figure =  area of cuboid less area of common side + area of 2 slant sides of pyramid+area of two triangles.

=2(lb+bh+hl)-(lb)+2(slant height*breadth of cuboid)+2[1/2* length of cuboid* height of triangle)

=2(16*5+5*4+4*16)-16*5+2(10*5)+2[1/2*16*6]

=2(80+20+64)-80+2*50+2(48)

=2(164)-80+100+96

=328-80+196

=248+196

=444\(m^{2}\)

Hence the surface area of composite figure having a cuboid and pyramid on top is 444\(m^{2}\).

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The fifth term in the sequence is 3

What is a sequence?

Mathematical sequences are lists of elements, usually integers, where the order of the elements is important. Here, the components all fit into a precise pattern. In everyday life, sequences appear frequently. Sequences include, for instance, a row of house numbers, a pay increase each year (by a defined dollar amount or percentage), a book's page numbers, etc.

\(a_{n} = 4 + ( -1 )^n\)

Substitute n=5

\(a_{5} = 4 + ( -1 )^5\)

   =  4 + (-1)

   = 4 - 1

  = 3

So, the  fifth term in the sequence is 3

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Answer:

Its A

Step-by-step explanation:

common sence

Answer

Explanation

Given:

To determine the value of g(f(x)), we substitute x with 1/3x^2+4 for g=9x-12:

Therefore, the value of g(f(x)) is C:

Domain of the radical function of the form f(x) = √(ax + b) + c is given by the solution of the inequality ax + b ≥ 0 and the range is the all possible values obtained by substituting the domain values in the function.

We know that the general form of a radical function is,

f(x) = √(ax + b) + c

The domain is the possible values of x for which the function f(x) is defined.

And in the other hand the range of the function is all possible values of the functions.

Here for radical function the function is defined in real field if and only if the polynomial under radical component is positive or equal to 0. Because if this is less than 0 then the radical component of the function gives a complex quantity.

ax + b ≥ 0

x ≥ - b/a

So the domain of the function is all possible real numbers which are greater than -b/a.

And range is the values which we can obtain by putting the domain values.

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Answer:

3.9 percent

Step-by-step explanation:

gfdsryuvcnkijnvcddxxcccvhjurddcccz

Answer:

First one is C the next one is D

Step-by-step explanation:

Answer:

18%

Step-by-step explanation:

its a long story

Angles are created by joining the extremities of two rays, with the joint vertex representing the common terminal of the two beams. The value of ∠c= 48.65.

An angle is the result of the intersection of two lines.

An "angle" is the length of the "opening" between these two beams.

Angles are commonly measured in degrees and radians, a measurement of circularity or rotation.

In geometry, an angle can be created by joining the extremities of two rays. These rays are intended to represent the angle's sides or limbs.

The two primary components of an angle are the limbs and the vertex.

The joint vertex is the common terminal of the two beams.

Given,

AC = 33 cm

AB = 35.75 cm

Hence, The value of ∠C = 48.65.

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True. The null hypothesis (denoted as H0) is a statement about a population parameter, typically a population mean or proportion, and it is formulated based on the assumption that there is no effect, relationship, or difference in the population.

However, in statistical hypothesis testing, data is often collected from a sample, not the entire population, due to practical limitations.

The sample data is then used to assess the evidence against the null hypothesis.

The null hypothesis is always stated in terms of the population, even though the data being analyzed comes from a sample.

Answer:

Yes

Step-by-step explanation:

So permiter is two*lengths plus 2*width of a shape.

Area is the length times the width.

For examplel if a square has a length of 2, and a width of 3 the permiteter is:

2*2+3*3=

4+9

=

13

On the other hand, area  would be:

2*3

=

6

I hope this helps!

Answer:

\(x^{2}\)

Step-by-step explanation:

yes! six identical triangles can be formed by drawing two straight lines through an octagon's center point.

What is octagon ?

An eight-sided, two-dimensional geometric figure is called an octagon. There are 8 inner angles and 8 outside angles in an octagon. An octagon has a total of 1080° for its interior angles and 360° for its outside angles. In an octagon, there are 20 diagonals. According to their sides and angles, octagons are divided into many varieties.

By passing two straight lines through the center of an octagon, it is possible to create six identical triangles. The following sequence of numbers: 2, 6, 14, 30, 64, is the logical one after that.

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Answer:

The breadth is about 6.32cm and the perimeter is about 50.56cm.

Step-by-step explanation:

The formula for the area of a rectangle is l * w = A, where l is the length, w is the width or breadth, and a is the area. If the length is 3 times the width, it can be written as 3w. This can be substituted into the formula along with the area to get 3w * w = 120, or 3w^2 = 120. Then it could be solved as an equation.

(3w^2)/3 = 120 / 3

w^2 = 40

w ~ 6.32

Then 6.32 can be multiplied by 3 to find the length, whch is 18.96. The formula for the perimeter of a rectangle is 2(l + w) = P.

2(6.32 + 18.96) = P

2(25.28) = P

50.56 = P

Answer:

33% is the discount

Step-by-step explanation:

You need to add the prices so i can caculate the discounts.

Plz give brainliest

Answer:

3

Step-by-step explanation:

The statement is false. When an economy shrinks at a constant annual rate, the cumulative decline over multiple years is not simply the sum of the annual rates of decline.

To calculate the cumulative decline over the four-year period, we need to use the concept of compound growth/decline.

If the economy shrinks at a rate of 10% per year for four consecutive years, the actual cumulative decline can be calculated as follows:

Cumulative decline = (1 - Rate of decline) ^ Number of years

In this case, the rate of decline is 10% or 0.1, and the number of years is 4.

Cumulative decline = (1 - 0.1) ^ 4

Cumulative decline = 0.9 ^ 4

Cumulative decline = 0.6561

So, the economy would actually shrink by approximately 65.61% over the four-year period, not 40%.

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Answer:2

Step-by-step explanation:1+1*1 is 2 there for this is the answer to life

ACtualy that is 42

Answer:

17 + 2i

Step-by-step explanation:

Given

(2 - 3i) + 5i(1 - 3i) ← distribute both parenthesis

= 2 - 3i + 5i - 15i²  [ i² = - 1 ]

= 2 + 2i + 15

= 17 + 2i ← in standard form

The standard form of a complex number (2 − 3i) + 5i(1 − 3i) is 17 + 2i.

A complex number is a component of a number system that includes the imaginary unit, represented by the letter i as an extension of the real numbers.

Given:

(2−3i) + 5i(1−3i)

Use the distributive property and expand the expression,

(2 − 3i + 5i - 15i²)

2 + 2i - 15(-1)           [i² = - 1]

2i + 17

Therefore, the standard form of a complex number (2 − 3i) + 5i(1 − 3i) is 17 + 2i.

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Answer:

1

Step-by-step explanation:

1^2

Means 1 multiplied by itself 2 times

1*1

1

The method of periodization that an athlete performs is  traditional periodization method.

Given,

An athlete perform five sets of five repetitions at 90% of 1rm on the first day of the week, five sets of fourteen repetitions at 85% of 1rm on the next training day, and five sets of two repetitions at 62.5%of 1rm on the last training day of the week;

Here,

The example above, where the percentage of one-repetition maximum (1RM) decreases as the training day progresses, is essentially a traditional periodization method.

As a result, during the course of the training cycle, the athletes' completed work gradually grows. As a result, as the load increases over time, there is a corresponding decrease in volume.

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Answer:

A

Step-by-step explanation:

5/3 * (- 7/2) = -35/6 = -5 5/6 = A

Answer:

-5 5/6

Step-by-step explanation: i have done this problem before

The word phrase which correctly represents the algebraic expression as given in the task content is; the product of 3 and a number, t.

It follows from the task content that the algebraic expression which is to be expressed as a word phrase is; 3t.

Therefore, the word phrase representation of the algebraic expression is; the product of 3 and a number, t.

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Answer:

A Discrete.

Step-by-step explanation:

Answer:

C. Graphs are used to demonstrate numerical concepts visually

Step-by-step explanation:

Answer:

\( \frac{4}{(g + 4) ^{2} }\)

Step-by-step explanation:

\( \frac{g}{g(g + 4)} - \frac{g}{(g + 4) ^{2} } \)

\( \frac{1}{g + 4} - \frac{g}{(g + 4) ^{2} } \)

\( \frac{g + 4}{(g + 4) ^{2} } - \frac{g}{(g + 4) ^{2} } \)

\( \frac{g + 4 - g}{(g + 4) ^{2} } \)

\( \frac{4}{(g + 4) ^{2} } \)

\( \frac{4}{g^{2} + 8g + 16 } \)

Hope It's Help

Answer:

A. -12 meters

B. 28 meters

C. 40 meters

Step-by-step explanation:

A. -12 meters

B. 28 meters

C. 40 meters

Step-by-step explanation:

The surface of the ocean would be 0.

Taking this into account, 12 meters below would be 0 - 12, which is -12. Therefore A's elevation would be -12.

For the sea bird, 28 meters above the surface, which is again 0, would be 0 + 28. B's elevation is 28.

Since the fish is 12 meters below the surface and the sea bird is 28 meters above the surface, simply add the two numbers up to get a total of 40 meters. C would be 40 meters.

Answer:

The Quadratic Formula uses the "a", "b", and "c" from "ax2 + bx + c", where "a", "b", and "c" are just numbers; they are the "numerical coefficients" of the quadratic equation they've given you to solve.

Step-by-step explanation:

The value of BC is 60.6.

According to the segment addition postulate, if we have two locations on a line segment, A and C, a third point B lies on the line segment AC if and only if the lengths between the points match the requirements of the equation AB + BC = AC.

Given:

BC = 6x+6

AB = 8x+9  

AC = 142

We need to find BC.

As AB and BC combine to form AC, we add them together and equate them with the value of AC to determine the value of x.

Using the property of segment addition,

AB + BC = AC

8x + 9 + 6x + 6 = 142

Combine the variable terms and constants together,

14x + 15 = 142

14x = 142 - 15 (Subtracting both sides by 15)

14x = 127

x = 9.1

Hence the value of BC is,

BC = 6x + 6 = 6(9.1) + 6 = 60.6

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Answer:

48

Step-by-step explanation:

definition of very similar triangles hope the answer is correct