help! brainliest!!! picture below

Answer:

Khan academy

Step-by-step explanation:

The expressions that are equivalent to sin(∠B) are option (B) length of side adjacent to ∠A/length of hypotenuse and option (D) AC/AB are the correct answers.

Trigonometry is mainly concerned with specific functions of angles and their application to calculations. Trigonometry deals with the study of the relationship between the sides of a right-angled triangle and its angles.

For the given situation,

From the diagram,

The right angle is at ∠C, so opposite to that side is hypotenuse.

If we consider angle at ∠B, then the side opposite to that side is opposite side and the other side is adjacent side.

Thus, Sin∠B = [tex]\frac{oppposite}{Hypotenuse}[/tex]

⇒  Sin∠B = [tex]\frac{AC}{AB}[/tex]

From the options, now check which options is equivalent to Sin∠B,

Option (A): tan(∠A)

Now, consider the angle at ∠A,

so,   [tex]tan(\angle A)=\frac{oppposite }{adjacent}[/tex]

⇒  [tex]tan(\angle A) =\frac{CB}{AC}[/tex]

Option A is not equivalent to sin(∠B).

Option (B): length of side adjacent to ∠A/length of hypotenuse

⇒ [tex]\frac{AC}{AB}[/tex]

Option B is equivalent to sin(∠B).

Option C: sin(∠A)

[tex]Sin(\angle A)=\frac{CB}{AB}[/tex]

Option C is not equivalent to sin(∠B).

Option D: AC/AB

Option D is equivalent to sin(∠B).

Hence we can conclude that the expressions that are equivalent to sin(∠B) are option (B) length of side adjacent to ∠A/length of hypotenuse and option (D) AC/AB are the correct answers.

Learn more about trigonometry here

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Answer:

The angle of the unknown measure is 27°.

Step-by-step explanation:

When we look at this angle, we can see it is a 90° angle.  Since we already have 63° of the angle, we just subtract 90° from 63° and we get 27°.  Therefore, 27° is our answer.

Answer:

if the whole thing equals 110, then subtract 49 from 110 and you'll get 61 and that is your answer

Step-by-step explanation:

Answer:

a = 146

Step-by-step explanation:

0 . 1 5 + 2 8 . 1 = 5 0  

3 / 2 0 + 2 8 . 1 = 5 0

3 /2 0 = 2 1 . 9

Answer:

31x + 55 sq. ft.

Step-by-step explanation:

Width of Fire Pit = x ft.  Length of Fire Pit = 4x ft.

Width of Patio = x + 5 ft. Length of Patio = 4x + 11 ft. Area of Fire pit = 4x * x = 4x² sq, ft.

Total Area of Rectangular Patio (including Fire pit)  = (4x + 11)(x+5)

= 4x² + 31x + 55 sq. ft.

Area for which tiling is done = Area of Rectangular patio - Area of fire pit

= 4x² + 31x + 55 - 4x²

= 31x + 55 sq. ft.

Answer:

area = l * w

= (3x + 1) * (2x + 3)

Answer:

Hiii when I went to Florida Miami I landed in Texas

Answer:

1. $22.50 2. $11.70

Step-by-step explanation:

Cause 30% of 75 is 22.5 and 65% of 18 is 11.7

Answer:

4 is 2059

5 is 6xy^2

Step-by-step explanation:

Answer:

Yes, 1:3.

Step-by-step explanation:

Each of the numbers on figure 2 are 3 times the number on figure 1.

Answer:

Step-by-step explanation:

Men:Women

5:6

5*27:162

135:162

Total employees=135+162=297

Answer:

Ok, I believe goes like this: the fourth blue box is first, the second blue box is second, the third blue box is third, and the first blue box is last.

Step-by-step explanation:

Answer:

The price of one ticket is $76.

Step-by-step explanation:

5% of $330 is $16.50 and 45% of $330 is $148.50. Add those two together and then add $13 to it. You should get 178 and subtract it from 330 which leads you to 152. It asks for the price of one ticket, so you divide that by 2 which results to $76.

Answer: 92 ft

Step-by-step explanation:

Answer:

36 square feet

Step-by-step explanation:

12*7/2 - 3*2 = 36 square feet

Answer:

1 = A

2 = F

3 = I think maybe B

Step-by-step explanation:

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Answer:

Option 1,3,4,6 are correct

Explanation

Step-by-step explanation:

we have formula for discriminant that is D=b^{2} -4acD=b

2

−4ac

when D>0 the roots are real and unequal

when D= 0 roots are real and equal

and when D< 0 roots are imaginary or not real and unequal

In 1st equation: x^2+6x+8x

2

+6x+8

a=1,b=6,c=8 on substituting the values in the formula we will get

D=6^2-4(1)(8)=4 > 0D=6

2

−4(1)(8)=4>0 hence real and unequal roots.

In 2nd equation:x^2+4x+8x

2

+4x+8

a=1,b=4,c=8 on substituting values in formula

D=4^2-4(1)(8)=-16 < 0D=4

2

−4(1)(8)=−16<0 so roots are not real

In 3rd equation x^2-12x+3x

2

−12x+3

a=1,b=-12,c=3 on substituting values

D=D=(-12)^2-4(1)(3)=132 > 0D=(−12)

2

−4(1)(3)=132>0 roots are real and unequal

In 4th equation: x^2+4x-1x

2

+4x−1

a=1,b=4,c=-1 on substituting the values

D= 4^2-4(1)(-1)=20 > 0D=4

2

−4(1)(−1)=20>0 real roots

In 5th equation:5x^2+5x+45x

2

+5x+4

a=5,b=5,c=4 on substituting the values

D=5^2-4(5)(4)=-55 < 0D=5

2

−4(5)(4)=−55<0 roots are not real

In 6th Equation: x^2-2x-15x

2

−2x−15

a=1,b=-2,c=-15 on substituting the values

D=(-2)^2-4(1)(-15)=64 > 0D=(−2)

2

−4(1)(−15)=64>0 roots are real

Answer:

J is the perfect equation to solve for x because 2x represents the bases of an isosceles ∆

Answer:

Step-by-step explanation:

Answer:

[tex]\displaystyle x=\left\{\frac{\pi}{6}+2n\pi, \frac{5\pi}{6}+2n\pi, \frac{3\pi}{2}+2n\pi\right\}, n\in\mathbb{Z}[/tex]

Step-by-step explanation:

We are given the equation:

[tex]2\cos^2(x)=\sin(x)+1[/tex]

And we want to find all solutions for x.

First, we should put the equation into terms of only one trigonometric ratio.

Since we are given cos²(x), we can turn this into sine. Recall the Pythagorean Identity which states:

[tex]\sin^2(x)+\cos^2(x)=1[/tex]

Therefore:

[tex]\cos^2(x)=1-\sin^2(x)[/tex]

By substitution:

[tex]2(1-\sin^2(x))=\sin(x)+1[/tex]

Distribute:

[tex]2-2\sin^2(x)=\sin(x)+1[/tex]

Isolate the equation:

[tex]2\sin^2(x)+\sin(x)-1=0[/tex]

We can factor:

[tex](2\sin(x)-1)(\sin(x)+1)=0[/tex]

Zero Product Property:

[tex]2\sin(x)-1=0\text{ or } \sin(x)+1=0[/tex]

Solve for each case:

[tex]\displaystyle \sin(x)=\frac{1}{2}\text{ or } \sin(x)=-1[/tex]

We can use the unit circle.

sin(x) = 1/2 for every π/6 and 5π/6. So, it will continue every 2π.

sin(x) = -1 every 3π/2. And this will also continue every 2π.

Hence, our solutions are:

[tex]\displaystyle x=\left\{\frac{\pi}{6}+2n\pi, \frac{5\pi}{6}+2n\pi, \frac{3\pi}{2}+2n\pi\right\}, n\in\mathbb{Z}[/tex]

Note:

If you only need the solutions within the interval [0, 2π), then it is:

[tex]\displaystyle x=\left\{\frac{\pi}{6}, \frac{5\pi}{6}, \frac{3\pi}{2}\right\}[/tex]

Answer:

the

Step-by-step explanation:

the comen factor are 10-15+20-30

and Factor the entire expression completely.

are n and 2

Answer:

The volume of the smaller solid is 72 cm.

Step-by-step explanation:

Given that two similar solids have surface areas of 48cm and 108cm respectively, to find the volume of the smaller solid if the bigger one has a volume of 162cm the following calculation must be performed:

108 = 162

48 = X

48 x 162/108 = X

7776/108 = X

72 = X

Therefore, the volume of the smaller solid is 72 cm.

Answer:

$24 is the selling price NOT INCLUDING TAX (if they want you to add tax)

Answer:

15 / (3+8)

Step-by-step explanation:

Answer:

17.03 inches

Step-by-step explanation:

Circumference = 2 π r

since circumference is 107 inches

Answer:

the perimeter is 97 cm

Step-by-step explanation:

we find this by adding the lengths of all the sides

Answer:

10+3+3+33+33+15=97

Step-by-step explanation:

Answer:

You can look for these:

Step-by-step explanation:

The factors of the equation:

For example, if multiplication, the factors 2x2=4

if addition, the addends 2 + 2= 4

So just look for the numbers before the equal sign and any key words in the problem.

Hope this helps!

Answer:

solution:we think

Step-by-step explanation:

it may have many solutions.

Answer:

Step-by-step explanation:

That's the graph. The slope is -2 and 5 means where the y intersects.