[tex]sec^{-1}(\frac{-2}{\sqrt{3}})=?[/tex]

How do you solve this with the unit circle? I keep getting [tex]\frac{5\pi}{6}[/tex], but my textbook answer says [tex]\frac{7\pi}{6}[/tex]. Thanks in advance.

Answer: 56.72 m, 72.6 m

Step-by-step explanation:

Given

The initial angle of elevation is [tex]38^{\circ}[/tex]

after walking 25 m, the angle of elevation is [tex]50^{\circ}[/tex]

In [tex]\triangle ABD[/tex]

[tex]\Rightarrow \tan 38^{\circ}=\frac{h}{x+25}[/tex]

[tex]\Rightarrow h=\tan 38^{\circ}(x+25)\quad \ldots(i)[/tex]

In [tex]\triangle ABC[/tex]

[tex]\Rightarrow \tan 50^{\circ}=\frac{h}{x}\\\\\Rightarrow h=x\tan 50^{\circ}\quad \ldots(ii)[/tex]

From (i) and (ii)

[tex]\Rightarrow x\tan 50^{\circ}=(x+25)\tan 38^{\circ}\\\Rightarrow 1.191x-0.781x=25\times 0.781\\\Rightarrow 0.4104x=19.532\\\Rightarrow x=47.59\approx 47.6\ m[/tex]

[tex]\Rightarrow h=47.6\times \tan 50^{\circ}=56.72\ m[/tex]

The distance of tree bottom and Chidi's  is

[tex]\Rightarrow x+25=47.+25=72.6\ m[/tex]

Answer:

Dont think eh multiplied both sides by 4. That would be the first step.

Step-by-step explanation:

1/4(x+12)=2

multiply both sides by 4

x+12=8

move the 8 to the right side of the equation and change its sign

x=8-12

calculate

x= -4

Answer:

He didn't multiply 1/4 between both terms in the brackets.

Step-by-step explanation:

1/4(x+12)=2

1/4x+3=2

1/4x= -1

x= -4

Hope that makes sense!

Answer:

35/26 = 1.346153846

Step-by-step explanation:

Answer:

[tex]32 \times 3.14 \times 2 = 200.96[/tex]

[tex] \binom{22}{7 } \times 49 \times 2 = 308[/tex]

Step-by-step explanation:

it is so simple

easy peasy lemon squeaky

Answer:

[tex]m=\frac{2}{5}[/tex]

Step-by-step explanation:

1. To find the slope we need to use the slope formula, [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

2. The points that were given were (0,0) and (5,2). Let's plug those into the formula.

[tex]\frac{2-0}{5-0}[/tex]

[tex]\frac{2}{5}[/tex]

So, your slope would be [tex]m=\frac{2}{5}[/tex]

Hope this helped! C:

Lets us start with finding the inner angles of the triangle. The bottom right angle shall be 70 degrees as it is opposite. The 100 degrees shall add together to make 200. 360-200 = 160. 160 / 2 = 80. So, Now we know bottom left angle (80) and bottom right (70). 80 + 70 = 150. In a triangle, angles add to 180 so 180 - 150 = 30. 30 = 2x which means that x = 15

15

Answer:

The answer is [B Josh, because when dividing by a power of 10, the decimal moves to the left]

Answer: the answer is B

Step-by-step explanation:

Answer/Step-by-step explanation:

✔️Reference angle = 50°

Opposite side length = y

Hypotenuse = 8 cm

Adjacent = x

Thus, applying CAH we can find x as shown below:

Cos 50 = adj/hyp

Cos 50 = x/8

8 × cos 50 = x

x = 5.1 (to 1 decimal point)

Thus, applying SOH, we can find y as shown below:

Sin 50 = opp/hyp

Sin 50 = y/8

8 × Sin 50 = y

y = 6.1 (to 1 decimal point)

Answer: 165 different combinations.

Step-by-step explanation:

Here we first need to identify the "selections", and then the number of options for each selection.

Here we have two selections, shorts, and sleeveless blouses.

For shorts, we have 15 options.

For sleeveless blouses, we have 11 options.

The total number of combinations will be equal to the product between the numbers of options for each selection, then the total number of combinations is:

C = 11*15 = 165

Answer:

x = 1/2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

x + 18/4 = 5

Step 2: Solve for x

30

Factors of 30 are

3,5, and 6

Answer: 119

Step-by-step explanation:

just did on iready

Answer:

C.34

Step-by-step explanation:

there are 160 plastic cubes that can fit into the box.

Step-by-step explanation:

brainlist plz

Answer:

27

Step-by-step explanation:

I took the same test

Answer :

How do You find the right line of reflection? 

Step-by-step explanation:

The concept is the line y = x. (y, x). The point is on the line y = -x (-y, -x). Notice that each point of a reflected image is the same distance from the reflection line as the original figure's corresponding point. Between the original figure and its image, the line of reflection will be directly in the centre.

Answer:

0.343

Step by step explanation:

 0. 3 4 3

8    2. 7 5 0

− 0      

 2 7    

− 2 4    

   3 5  

 − 3 2  

     3 0

   − 2 4

       6

yes, yes yes yes yes yes yes yes

Answer:

[tex]A = 89.1327[/tex]

Step-by-step explanation:

1. Approach

To solve this problem, one must divide the figure up into two smaller figures. Calculate the areas of these smaller figures, and then finally, add up the result. The given figure can be divided into a square and a semi-circle. One can solve for the area of the square using the formula ([tex]length*width=area[/tex]). One can solve for the area of the semicircle by solving for the area of the circle, and then dividing it by (2).

2. Solve for the area of the square

This is the easier part, all one has to do is multiply the length of the square by the width;

[tex]length * width = area\\\\8 * 8 = area\\\\64 = area[/tex]

3. Solve for the area of the semi-circle

The formula for the area of a circle is;

[tex](pi)r^2=A[/tex]

Where coefficient ([tex]pi[/tex]) represent the values ([tex]3.1415...[/tex]), parameter ([tex]r[/tex]) represent the radius of the circle, and ([tex]A[/tex]) represents the area.

In the problem, one is given the diameter of the semicircle. The diameter is the largest cord (a line that is drawn in a circle) in the circle, this cord will pass through the center of the circle. The radius is the distance from the center of the circle to the outer edge of the circle. The radius, by its definition will always be half of the diameter. It is given that the diameter of the given circle is ([tex]8[/tex]), therefore the radius is ([tex]4[/tex]), because ([tex]8[/tex]÷[tex]2=4[/tex]).

Substitute in the values and solve;

[tex](pi)(4)^2 = A\\\\3.1415*(16)=A\\\\50.2655=A[/tex]

Don't forget to divide this in half, because the given figure is a semi-circle, not a circle;

[tex]25.1327[/tex]

4. Putting it together

Now add the value for the area of the semi-circle, with the value for the area of the square;

[tex]square + semi-circle = Total\ area\\\\64 + 25.1327 = Total\ area\\\\89.1327 = Total\ area[/tex]

Answer:

5) 106°

6)

7) 46°

8) 102°

Step-by-step explanation:

Find the measure of the angle indicated in bold.

We are to find x

5) This follows the rule of Alternate Interior angles

= 12x + 10 = 13x + 2

Collect like terms

= 10 - 2 = 13x - 12x

= 8 = x

x = 8

The angle indicated in bold = (13x + 2)°

= 13 × 8 + 2

= 104 + 2

= 106°

6) This follows the rules of consecutive interior angles

x - 70 + 130 + x = 180

2x + 60 = 180

2x = 180 - 60

2x = 120

x = 120/2

x = 60

7)This follows the rule of Alternate Interior angles

22x + 2 = 21x + 6

Collect like terms

22x - 21x = 6 - 2

x = 4

The angle in bold is (22x + 2)°

Hence,

(22 × 2 + 2)°

44 + 2 = 46°

The measure of the angle is 46°

8) This follows the rule of corresponding angles

13x + 11 = 14x + 4

Collect like terms

11 - 4 = 14x - 13x

7 = x

x = 7

The angle in bold is (14x + 4) °

(14 × 7 + 4)°

=( 98 + 4)°

= 102°

Answer:

YAY

Step-by-step explanation:

Answer:

ayyy im late.. but anyway soo

Answer:

32

Step-by-step explanation:

Same factors meaning it is of the form

(x + a)(x + a) = (x + a)^2 = x^2 + 2ax + a^2

Take sqrt(256) = 16

a = 16, c = 2a = 32

Answer:

32

Step-by-step explanation:

Answer:

400

Step-by-step explanation:

u = 50 km/hr

v = 100 km/hr

d = 300 km

b = 200 km/hr

= b*d/(u+v)  

=  200* 300/(50+100)  

= 400

Answer:

3. (x-6)

Step-by-step explanation:

x^2-5x-6

--

Find factors of -6 that could be added that equals to -5

Factors=

-6 and 1

x^2-5x-6 factored is (x-6)(x+1)

so the answer would be (3) (x-6)

Answer:

12,000

Step-by-step explanation:

one ton = 2000 pounds then multiply that by 6 and you have your answer

Answer:

$1230

Step-by-step explanation:

Adult tickets cost = 15 * $14 = $210

The children tickets cost = 85 * $12 = $1020

Therefore, they spent $1020 + $210 = $1230

Answer:

lee know

Step-by-step explanation:

The circle intersect the x-axis at (-17,0) and (17,0); and the circle intersect the y-axis at (-17,0) and (17,0).

A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the centre.

As it is stated that the point (8,15) lies on the circle, while the center of the circle is at (0,0). Therefore, the line connecting the point and the center of the circle will be the radius of the circle. The length of the radius of the circle will be equal to,

[tex]\text{Length of the radius}=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\\text{Length of the radius}=\sqrt{(8-0)^2+(15-0)^2} = \sqrt{64+225} = 17[/tex]

Now, as we know that the circle is centerd at the origin therefore, it will intersect its axis at a length that is equal to its radius as shown below. Therefore, the circle intersect the x-axis at (-17,0) and (17,0); and the circle intersect the y-axis at (-17,0) and (17,0).

Learn more about Circle:

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