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pogonyaev
2 years ago
8

SOMEONE, PLEASE HELP ME OUT!!!!!! WILL MARK BRAINLIEST

Mathematics
1 answer:
Hitman42 [59]2 years ago
6 0

Answer:

see below

Step-by-step explanation:

19. (4x + 8x² - 8) + (x² + 7 - 4x)

=   4x + 8x² - 8 + x² + 7 - 4x

=   8x² + x² + 4x - 4x -8 + 7

<h3>=  9x² - 1</h3>

20.  (7x² - 11 + 16x) + (5x - 3x² - 7)

=  7x² - 11 + 16x + 5x - 3x² - 7

<h3>=  4x² + 21x - 18</h3>

22.  (4x² - 12x - 10) - (2x² + x - 3)

=   4x² - 12x - 10 - 2x² - x + 3

<h3>=   2x² - 13x - 7</h3>

23.  (7x³ - 9x² - 14x) - (4x³ - 4 - x)

=  7x³ - 9x² - 14x - 4x³ + 4 + x

=  7x³ - 4x³  - 9x² - 14x + x + 4

<h3>=  3x³ - 9x² - 13x + 4</h3>

25. (9x² + 24x - 8) - (5x² + 3x + 10)

=  9x² + 24x - 8 - 5x² - 3x - 10

<h3>=  4x² + 21x  - 18</h3>

26.  (5x - 12x² + 9x³) - (5x³ + 6x - 3)

=  5x - 12x² + 9x³ - 5x³ - 6x + 3

<h3>=  4x³ - 12x² - x + 3</h3>

28.  (2x² - 1 + 3x³) + (5 - 13x - 11x²)

=   2x² - 1 + 3x³ + 5 - 13x - 11x²

<h3>=  3x³ - 9x² - 13x + 4</h3>

30.  (10x - x² + 8) + (5x² + 1 - 22x)

=   10x - x² + 8 + 5x² + 1 - 22x

<h3>=   4x² - 12x + 9</h3>

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What is the approximate value of x in the diagram below
Anon25 [30]

Answer:

x = 8 cm

Step-by-step explanation:

The first step in solving this problem is to determine which trig function applies.  The diagram shows that this triangle is a right triangle, that side x is opposite the 25-degree angle, and that the hypotenuse has a length of 18 cm.  

The sine function of an angle Ф is defined as the ratio of the opposite side to the hypotenuse.  In this case, sin Ф (or sin 25 degrees) equals x/(18 cm).

We need to determine the value of x.  Adapt the above equation to this particular situation:  sin 25 degrees = x/(18 cm).

To solve for x, multiply both sides of the most recent equation, above, by (18 cm).  The following results:  (18 cm)(sin 25 degrees) = x.

Next, use a calculator to find the value of sin 25 degrees:  It is 0.4226.

Then the desired value of x is (18 cm)(0.4226), or x = 7.61 cm.  This should be rounded off to x = 8 cm to reflect the level of accuracy of the given 18 cm.

5 0
3 years ago
Which of the following is a solution to sin x/2 = sqrt3/2 ?
Vera_Pavlovna [14]

Answer:

A. 60 degrees

Step-by-step explanation:

Solution to sin(x/2)=(\sqrt{3}/2)

By looking at this equation, I can identify that the answer must be within the first quadrant since the numerator and denominator are both positive.

Since it is in the first quadrant, the range of the value of the answer must be between 0 degrees less than or equal to x less than or equal to 90 degrees.

I can also identify that this is a 30, 60, 90 degree triangle because it has a \sqrt{3} and 2 as the numerator and denominator; in this case this tells us that we are dealing with a 30, 60, 90 degree triangle because that is the only triangle with those 2 respective sides.

Once identifying those two pieces of information, we can then determine the answer.

Since sin is equal Opposite/Hypotenuse, we can then substitute the sides of the triangle (\sqrt{3}, 2) to find the angle (unknown).

So the equation would look like this,

Sinx/2=\sqrt{3}/2 (\sqrt{3} representing the opposite side of the angle; 2 representing the Hypotenuse of the triangle)

We can then conclude that 60 degrees is the unknown angle, due to the nature of a 30 60 90 degree triangle.

*Use the attachment for reference

Therefore, the answer, 60 degrees, is a solution to the equation "sin(x/2)=(\sqrt{3}/2)"

3 0
3 years ago
You and your best friend go out to lunch on the last day of school to celebrate
Komok [63]
69.75 x 0.05 = $3.49 discount

$69.75 - $3.49 = $66.26 discounted price with tax

66.26 x 0.18 = $11.93 tip

Discounted price with tax + tip
66.26 + 11.93 = 78.19
4 0
3 years ago
Read 2 more answers
HELP Asap :-/!!!! AHHHHHHHHHHH
pychu [463]

Answer:

x = 9

Step-by-step explanation:

If ΔMNO ≅ ΔPST, their corresponding sides must also be ≅(congruent).

NO is corresponds to TS, thus sides NO and side TS are ≅.

=> 20 = 3x - 7

=> 3x = 27

=> x = 9

6 0
3 years ago
AC = <br> Round your answer to the nearest hundredth.
dusya [7]

Answer:

AC ≈ 5.03

Step-by-step explanation:

We can solve the problem above using the trigonometric ratio, they are;

SOH CAH TOA

sin Ф = opposite / hypotenuse

cosФ= adjacent/ hypotenuse

tan Ф = opposite / adjacent

From the diagram above, in reference to angle B;

opposite =AC     and   adjacent =BC

Since we have opposite and adjacent, the best formula to use is

tanФ = opposite / adjacent

tan B = AC  / BC

tan 40 =  AC/ 6

Multiply both-side of the equation by 6

6× tan 40   =  AC/ 6  ×  6

At the right-hand side of the equation, 6 will cancel-out 6 leaving us with just AC

6×tan 40 = AC

5.034598  = AC

AC ≈ 5.03   to the nearest hundredths

4 0
3 years ago
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