If θ is an angle in standard position and its terminal side passes through the point (6,1), find the exact value of
sec
⁡
θ
secθ in simplest radical form.

Step-by-step explanation:

you must have written something wrong.

because given that information OB is not equal to OC.

but for example, OB = BC.

the distance of OB is (5,0) - (0,0) = (5-0,0-0) = (5,0) =

= sqrt(5² + 0²) = sqrt(25) = 5

the distance of OC is (5,5)-(0,0) = (5-0,5-0) = (5,5) =

= sqrt(5² + 5²) = sqrt(50) = 5×sqrt(2)

so, OB is NOT the same as OC.

but BC is (5,5)-(5,0) = (5-5,5-0) = (0,5) = sqrt(0² + 5²) =

= sqrt(25) = 5

Answer:

79 sq in

Step-by-step explanation:

cut it into separate shapes then add the areas of each individual

(4 x 3) + (13 x 4) + (3 x 5)

Answer:

3.14 x 4 x 4

= 3.14 x 16

= 50.24

Answer:

50.24

Step-by-step explanation:

A=πr²

  = (3.14)(4)²

  = 50.24

Answer:

gyufigaruofhasidjfdskcm

Step-by-step explanation:

Answer-

a. no

b. yes

c. no

Answer:

answer

4( y+ 2 )

4y + 8

y = 8/4

y = 2

Answer:4

(

+

2

)

4(y+2)

4(y+2)

Simplify

1

Distribute

4

(

+

2

)

{\color{#c92786}{4(y+2)}}

4(y+2)

4

+

8

{\color{#c92786}{4y+8}}

4y+8

Solution

4

+

8

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

15 - 3d

Let d = -3

15 - 3(-3)

Multiply

15 +9

Add

24

Answer:

24

Step-by-step explanation:

15 - 3d

* plug in -3 *

15 - 3(-3)

simplify -3(-3)

-3(-3) = + 9

add

15 + 9 = 24

Answer:

120° = CAB

arc lenght = CÁB/ 360 × 2(pi)(4)

a/2pi(4) = CAB/360

8/3(pi)/2(pi)(4) × 360 = CÁB

120 = CAB

Answer:

120°

Step-by-step explanation:

that is the procedure above

Answer:

x=-20

Step-by-step explanation:

x=-10•2

• means multipled

Answer:

x = 16

Step-by-step explanation:

These are corresponding angles meaning they are equal to each other.

4x + 30 = 94

4x = 64

x = 16

The Answer is:

A. x = 4

Answer:

The equation would be (x – 3)^2 + (y – 4)^2 = √26^2 or 26.

Step-by-step explanation:

Firstly, we need to find the radius of the circle. In this case, through the Pythagorean theorem, we can find it to be √(9-4)^2 + (4-3)^2 = √25 + 1 = √26.

Therefore, the equation of the circle would be (x – h)^2+ (y – k)^2 = r^2, where h and k are the x and y-coordinates of the center of the circle respectively, and r is the radius. Hence, the equation of this circle would be (x – 3)^2 + (y – 4)^2 = √26^2 or 26.

Hope this helped!

Answer:

Step-by-step explanation:

Equation in standard form:

where (h, k) is the center and r- radius

On the graph we have (h, k) = (3, 4)

Find the r² using the distance formula:

The equation is:

Answer:

[tex]\displaystyle y=-\frac{1}{6}x-\frac{1}{2}[/tex]

Step-by-step explanation:

We want to write the equation of a line that passes through the point (3, -1) and is perpendicular to the line:

[tex]y=6x-4[/tex]

Remember that the slopes of perpendicular lines are negative reciprocals of each other.

The slope of the given equation is 6.

So, the slope of our perpendicular line is the negative reciprocal of 6, which is -1/6.

Next, we are given that it passes through the point (3, -1). Since we are given a point and know the slope, we can use the point-slope form. Point-slope form is given by:

[tex]y-y_1=m(x-x_1)[/tex]

Where m is the slope and (x₁, y₁) is a point.

We will substitute -1/6 for m and (3, -1) for (x₁, y₁). Hence:

[tex]\displaystyle y-(-1)=-\frac{1}{6}(x-(3))[/tex]

Simplify:

[tex]\displaystyle y+1=-\frac{1}{6}(x-3)[/tex]

Our answer is valid as it as, but we can simplify this into slope-intercept form. Distribute:

[tex]\displaystyle y+1=-\frac{1}{6}x+\frac{1}{2}[/tex]

And subtract one from both sides. Therefore, our equation is:

[tex]\displaystyle y=-\frac{1}{6}x-\frac{1}{2}[/tex]

Answer:

49

Step-by-step explanation:

Answer:

x = 2

Step-by-step explanation:

In a vertical line, all x-coordinates are the same.

x = 2

Answer:

x =2

Step-by-step explanation:

A vertical line means the x value remains constant

The x value is 2

x =2

Answer:

Step-by-step explanation:

comparing corresponding elements

x + y = 13

2x - y = 2

Now use substitution method.

x + y = 13

x = 13 - y                 equation(i)

substitute the value of x

2x - y = 2

2(13 - y) - y = 2

26 - 2y - y = 2

-3y = 2 - 26

y = -24/-3

y = 8

substitute the value of y in eqaution(i)

x = 13 - y

x = 13 - 8

x = 5

therefore , x = 5 and y = 8

To check :

x + y = 13

when we add x and y then must come 13

5 + 8 = 13

13 = 13

2x - y = 13

substitute the value of x and y . REsult must come 2

2*5 - 8 = 2

10 - 8 = 2

2 = 2

10 - 8 = 2

Answer:

x = 5, y = 8

Step-by-step explanation:

Another way to write  (x+y, 2x-y)= (13, 2) is

x + y = 13 -- (1)

2x - y = 2 -- (2)

using the elimilation method,

Rewriting (1), y = 13 - x --(1)'

Replacing (1)' into (2),

2x - ( 13 - x) = 2

2x - 13 + x = 2

3x = 15

x = 5 -- (3)

Replacing (3) into (1),

5 + y = 13

y = 8 -- (4)

Accorindg to (3) and (4),

x = 5, y = 8

If this helps you, please give brainliest!

Answer:

12.75

Step-by-step explanation:

c = π x d

40.035= 3.14 x d

40.035/3.14 = 12.75

Answer:

x +(2x + 3) = 33

Step-by-step explanation:

two equations can be derived from the question

c = 3 + 2x equation 1

c + x = 33 equation 2

where :

c =  cappuccinos

x =  lattes

make c the subject of the formula in equation 2

c = 33 - x equation 3

equate 3 and 1

x +(2x + 3) = 33

Answer:

(a+b)/2(a-b)

Step-by-step explanation:

Explained in the paper

Goodluck

Answer:

[tex]81[/tex]

Step-by-step explanation:

The average of a set of [tex]n[/tex] values is equal to the sum of the values in that set divided by [tex]n[/tex].

Therefore, the average of your 5 scores is equal to [tex]\frac{73+86+91+88+67}{5}=\boxed{81}[/tex]. Since evidently your grade is represented by the average of all your scores, your new grade is 81.

the bottom one... i think

Answer:

∠ 1 = 53°, ∠ 2 = 37°

Step-by-step explanation:

let ∠ 2 be x then ∠ 1 = x + 16

Complementary angles sum to 90° , then

x + 16 + x = 90

2x + 16 = 90 ( subtract 16 from both sides )

2x = 74 ( divide both sides by 2 )

x = 37

Then

∠ 2 = 37° and ∠ 1 = 37 + 16 = 53°

Answer:

A   y ≥ (1/2)x + 5

Step-by-step explanation:

The shaded area is above the solid line

the correct symbol is ≥

⭐Answer:

✰According to angle property between tangent and secant✰

[tex](4x-8)=1/2(80)[/tex]

[tex]4x-8=40[/tex]

[tex]4x=40+8[/tex]

[tex]4x=48[/tex]

[tex]x=48/4[/tex]

[tex]x=12[/tex]

〖D) 12〗

☁☁☁☁☁☁☁

hope it helps...

The value of x is 12

Circle is the collection of all points in a plane at a constant distance from a fixed point. The fixed point is known as the centre, and the constant distance is the circle’s radius. A line that intersects a circle in two distinct points is called a secant to the circle.

A line meeting a circle only in one point is called a tangent to the circle at that point. In this article, we will talk about the relative position of the circle and a line in the same plane. We will also examine the existence of tangents to a circle and their properties.

Using angle property between tangent and secant

(4x - 8) = 1/2*80

4x- 8 = 40

4x= 48

x= 12

Learn more about tangent here:

https://brainly.com/question/19064965

#SPJ5

Answer:

C

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

165 cm

Step-by-step explanation:

We solve using the rule

Shadow of ruler/Length of ruler = Shadow of the girl /Length of the girl

Shadow of ruler = 20cm

Length of ruler = 30cm

Shadow of the girl = 110cm

Length of the girl = x

Hence:

20/30 = 110/x

Cross Multiply

20x = 30 × 110

x = 30 × 110/20

x = 165 cm

Therefore, Sierra(the girl) is 165cm tall

Answer:

[tex]\text{A. }\frac{5}{6}\pi x^2[/tex]

Step-by-step explanation:

The area of a sector with measure [tex]\theta[/tex] is equal to [tex]r^2\pi\cdot \frac{\theta}{360}[/tex]

Since there are 360 degrees in an angle, the measure of sector K must be 360-60=300 degrees.

What we know:

Thus, the area of the sector is [tex]x^2\pi\cdot \frac{300}{360}=\boxed{\text{A. }\frac{5}{6}\pi x^2}[/tex]

Answer:

8x.

Step-by-step explanation:

coordinates: (3,10) (5,26)

use slope formula (y2 - y1/x2-x1)

26-10/5-3

16/2

= 8

Answer:

Answer is 3 because

Step-by-step explanation:

a=2

20*2= 40

40-1 = 39

b = 13

so 39/13 = 3