If cot θ= tan (pi/6) what is cos θ? Round your answer to the nearest hundredth.

Answer:

Step-by-step explanation:

Part A

Since, all angle formed at point F lie on a straight line CE.

Therefore, sum of angles ∠AFE, ∠AFB, ∠CFB will be 180°.

(7x + 4) + (8x + 6) + (6x + 2) = 180

21x + 12 = 180

21x = 168

x = 8

Part B

Two lines CD and AE intersect each other at point F.

Therefore, ∠AFE ≅ ∠DFC [Vertically opposite angles]

m∠CFD = (7x + 4)°

             = 7(8) + 4

             = 60°

Since, all angles formed at point F on a straight line AD are linear angles,

m∠AFB + m∠CFB + m∠CFD = 180°

(8x + 6) + (6x + 2) + m∠CFD = 180°

14x + 8 + m∠CFD = 180

m∠CFD = 172 - 14x

             = 172 - 14(8)

             = 172 - 112

             = 60°

Answer:

18 is the correct answer

Step-by-step explanation:

to find f(6) you only need to put value 6 in place x and then simple  addotion subtraction

f(6)=4(6)-6

f(6)=24-6

f(6)=18

Answer:

We have the coordinates of vertex T after the translation as (-5,0)

Step-by-step explanation:

Firstly, we get the coordinates of vertex T

we have this as;

(-2,-2)

Translating to the left means we are going to subtract the specific units from the x-coordinate

2 units up means we are going to add to the y-coordinate value

So, we have it that;

(-2-3, -2+ 2) = (-5,0)

Answer:

42%

Step-by-step explanation:

The computation of the percentage is shown below:

Here we assume that there are 100 students

So according to the question

60% of the students would pack the lunch i.e. 60 students

And, 40% of the students buy a lunch i.e. 40 students

Now the students who pack the lunch they have 70% of cookie

So, 70% of 60 students = 42 students

Now the percentage is

= 42 students ÷ 100 students

= 42%

Step-by-step explanation:

% Increase = ((New value - Old Value) / Old Value) * 100

Given New value = $85

and Old Value = $35

% Increase =

[tex] (\frac{85 - 35}{35} ) \times 100 \\ = ( \frac{50}{35} ) \times 100 \\ = 143percent(nearest \: whole \: number)[/tex]

Answer:

y=5x-5

Step-by-step explanation:

we start from -5 and go rise/run so its 5

Answer:

x=-5 , y=1

Step-by-step explanation:

-5x-8y=17

x=3.5y-8.5

-5(3.5y-8.5)-8y=17

-17.5y+42.5-8y=17

-25.5y+42.5=17

-25.5y=-25.5

y=1

x=3.5(1)-8.5

x=-5

Answer

Step-by-step explanation:

1 3/4

Answer:

a interior angle is a the angle between adjacent sides of a rectilinear figure.

it is 6

--heart if it helped you!--

Answer:

65 degrees, because vertical angles are always congruent.

Step-by-step explanation:

Answer:

the exact form is [tex]7 \sqrt{3}\\[/tex] but the decimal form is 12.124 :)))

Step-by-step explanation:

Answer:

y(t) = 4 + 1.5t

.

Step-by-step explanation:

Initial amount of snow = 4 inches

Fall rate of snow = 1.5 inch per hour

Equation to model the scenario goes thus :

Initial amount of snow + (fall rate of snow * number of hours)

Let the number of hours = h

4 inches + (1.5 inch per hour * h)

Equation, y(t) becomes ;

y(t) = 4 + 1.5t

Answer:

s = 18 mph

Step-by-step explanation:

At downstream, time is; t = 11/(s+ 4)

At upstream, time is; t = 7/(s - 4)

Since they both are passed in the same time, then ;

11/(s+ 4) = 7/(s - 4)

Cross Multiply to get;

11(s - 4) = 7(s + 4)

11s - 44 = 7s + 28

11s - 7s = 44 + 28

4s = 72

s = 72/4

s = 18

Answer:

n=23/10

Step-by-step explanation:

10(n+4)=63

n+4=63/10

n=63/10-4

n=23/10

decimal form: 2.3

Answer:

(7/2, 0)

Step-by-step explanation:

Answer:

x=11

Step-by-step explanation:

6x-21=45

6x=66

x=11

Answer:

The equation of the line is;

y = 0.8x + 1

Step-by-step explanation:

Here, we want to get the equation of the line

The general equation of a straight line is;

y = mx + b

m

is the slope and b is the y-intercept

The y-intercept is simply the point on the y-axis where the line crosses the y-axis

we have this point at (0,1)

so we have;

y = mx + 1

to get m, we get any other point on the line and substitute its coordinates before we solve for m

we can identify the point (-2.5, -1)

substituting the coordinates

-1 = -2.5(m) + 1

-2.5m = -1-1

-2.5m = -2

m= 2/2.5

m= 0.8

so we have the equation of the line as;

y = 0.8x + 1

Answer:

Step-by-step explanation: Vertex Equatiation Por mxa Plus B = X gtex Lp Cneter to 16u8 Killomtrss to ball

Answer:

.

Step-by-step explanation:

........

Answer:

[tex]400\ cm^2[/tex]

Step-by-step explanation:

1. Approach

The surface area of an object is the two-dimensional area around the object. If one was going to wrap the figure in paper, then the surface area would be the amount of paper one would need to cover the entirety of the object. To find the surface area of an object, calculate the area of each face of the object and then add up the results,

2. Find the area of each face

The area of all the rectangular faces can be found by using the formula to find the area of a rectangle, ([tex]length*width[/tex]). Substitute in each of the values,

[tex]17*7=119[/tex]

[tex]15*7=105[/tex]

[tex]8*7=56[/tex]

Now find the area of the triangular faces. This can be done by using the formula for the area of a triangle, ([tex]\frac{(length)*(width)}{2}[/tex]). Substitute in the given values,

[tex]\frac{(15)*(8)}{2}=60[/tex]

[tex]\frac{(15)*(8)}{2}=60[/tex]

3. Find the total surface area

Now add up the values of the area for each of the faces of the prism,

[tex]119+105+56+60+60[/tex]

[tex]=400[/tex]

Answer:

D. 29.5 feet

Step-by-step explanation:

1) First you use the pythagorean theorem a^2+b^2=c^2

2) 26^2+14^2=c^2 The wire is the hypotenuse.

3) Simplify the equation. 676+196=c

4) 872=c

5) Find the square root of 872 and round to the nearest tenth.

6) Your answer is 29.5 feet.

Hope this helps!

Answer:

what grade is this?

Answer:

86.54625

Step-by-step explanation:

Formula: a = πr², r = d/2

Given: π = 3.14, d = 10.5

Sub: a = (3.14)r²

Find r.

10.5/2

5.25

Sub: a = (3.14)5.25²

Solve: 86.54625

Answer:

It means that 20 times x is 5

also the answer to that problem (20x=5) is 1/4

Step-by-step explanation:

20x means

20 * x

and since 20 * x = 5

divide 5 and 20

5/20 = 1/4

Answer:

I'm guessing this is for volume

Step-by-step explanation:

The equation to number 4 is

15 x 10 x 12= 1,800 in³

Answer:

1 perfect right angle

Step-by-step explanation:

please mark this answer as brainlest

Answer:

a reflection followed by a translation

Step-by-step explanation:

Answer:

slope of line e=3/8

Step-by-step explanation:

we are given that line d's slope is -8/3, and we want to find the slope of line e, which is perpendicular to d

perpendicular lines have slopes that are negative and reciprocal; if you multiply the lines together, the result is -1

therefore, to find the slope of line e (m is the slope):

-8/3m=-1

multiply by -3/8

m=3/8

so that means the slope of line e is 3/8

Hope this helps!