A Triangle has one 73 angle and a 58 angle. what is the measurement of the third angle?

Answer:

18 or 16

Step-by-step explanation:

It's of a reflective of the other side I think.

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 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:

17.03 inches

Step-by-step explanation:

Circumference = 2 π r

since circumference is 107 inches

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:

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

Answer:

area = l * w

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

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:767

hh

Step-by-step explanation:

ggfhgjgfhvff

h k

hgh j

gvjhg878

y7uy

8768

87

Answer:

y = -3

Step-by-step explanation:

2y + 6 = 0

2y = -6

y = -3

Since it's just y = -3, there is NO SLOPE and it's just one straight line going horizontally.

So just pick the graph where it's a horizontal line that only goes through the y-axises of -3 (i.e (0, -3), (1, -3), and etc)

Answer: 92 ft

Step-by-step explanation:

Answer:

36 square feet

Step-by-step explanation:

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

Answer:

15 / (3+8)

Step-by-step explanation:

9514 1404 393

Answer:

  6.68 in

Step-by-step explanation:

The length of an arc is given by ...

  s = rθ . . . . θ in radians

Then the radius is ...

  r = s/θ

  r = (7 in)/(π/3) = 21/π in ≈ 6.6845 in

The radius of the circle is about 6.68 inches.

Answer:

Angle of circle = π/3 r

Length of minor arc = 7 in

Now

We know that

Radius = Length/Angle

Radius = 7/(π/3)

Radius = 7/π × 3

Radius = 21/π

[tex] \\ [/tex]

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:

Yes, 1:3.

Step-by-step explanation:

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

Answer:

4 is 2059

5 is 6xy^2

Step-by-step explanation:

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

https://brainly.com/question/16965914

#SPJ2

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:

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:

Step-by-step explanation:

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

Answer:

30 minutes

Step-by-step explanation:

6=45

4=x

6x2/3=4

45x2/3=30

x=30

Answer:

66 minutes

Step-by-step explanation:

Answer:

1 = A

2 = F

3 = I think maybe B

Step-by-step explanation:

Hope that this helps you out! :)            

If you have any questions please put them in the comment section below this answer.            

Have a great rest of your day/night!            

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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 and Step-by-step explanation:

To find the length of AB, we have to use Distance Formula.

Distance Formula takes two points on a graph, and puts it into the following formula to calculate the distance between those two points.

The formula:

D = [tex]\sqrt{(x_{2} - x_1)^2 + (y_2 - y_1)^2 }[/tex]

Where:

D = The Distance between two points

[tex]x_2[/tex] = The x value of the second point

[tex]x_{1}[/tex] = The x value of the first point

[tex]y_2[/tex] = The x value of the second point

[tex]y_{1}[/tex] = The x value of the first point

Point A will be the first point and point B will be the second point. All we have to do now is plug those points into the formula and solve.

[tex]\sqrt{(10 - 5)^2 + (0 - 10)^2 }\\\\\\\\\sqrt{(5)^2 + (- 10)^2 }\\\\\\\\\sqrt{25 + 100 }\\\\\\\\\sqrt{125}\\\\\\\\\sqrt{125} = 5\sqrt{5}[/tex]

The length of side AB is [tex]5\sqrt{5}[/tex] units, or 11.18 units.

I hope this helps!

#teamtrees #PAW (Plant And Water)

Answer:

Step-by-step explanation:

Men:Women

5:6

5*27:162

135:162

Total employees=135+162=297

Answer:

16.6

Step-by-step explanation:

152.72X2=305.44

305.44/18.4=16.6

TRAINGLE AREA FORMULA IS BH/1/2 SO BASE X HIEGHT DIVIDED BY 2=AREA

Answer:

the

Step-by-step explanation:

the comen factor are 10-15+20-30

and Factor the entire expression completely.

are n and 2