Instructions: Find the value of the trigonometric ratio. Make sure to
simplify the fraction if needed.
Х
40
32
N
24
Y
Tan Z

Answer:

16 pi

Step-by-step explanation:

This is 1/4 of a circle so the area is 1/4 of the area of a circle

Area of a circle is pi r^2

so the area is 1/4 pi r^2

                       1/4 pi (8)^2

                       16 pi

Answer:

[tex]x-6[/tex]

Step-by-step explanation:

We can let the 'number' in the expression be equal to [tex]x[/tex]. Something 6 less than x would x minus 6, or [tex]x-6[/tex].

Answer:

x-6

Step-by-step explanation:

Let the number be x

Less than means subtract from

x-6

Answer:

(512)x=8 and 512−x=8

Step-by-step explanation:

Answer:

B) 14%

Step-by-step explanation:

principal = 220000

First two years 10% paid.

.10 x 220000 = 22000

220000-22000 = 198000

x = percent

x = [tex]\frac{New -Old}{Old}[/tex]

x = [tex]\frac{170000-198000}{198000}[/tex]

x = -.1414

Round to .14

14% is the difference in amounts.

The principal (198000) will need to be reduced 14% to equal 170000

Answer:

The restrictions are x≠2,4,5

Step-by-step explanation:

First the denominators cannot be zero

x-2 ≠0  so x≠2

Then x-4 ≠0  so x≠4

Also, since we are dividing, when we flip the second expression, the numerator becomes the denominator, so it cannot be zero

2x-10≠0

2x≠10

x≠5

The restrictions are x≠2,4,5

Answer:

37.5%

Step-by-step explanation:

Calculation to determine the theoretical probability that the tree is not within the acres of apple trees

Using this formula

P=(Number of all orchard acres - Apple acres)/(Total orchard acres)*100

Where,

P represent Probability

Let plug in the formula

P=(40 acres- 25 acres)/40 acres

P=15 acres/40 acres *100

P=3/8*100

P=.375*100

P=37.5%

Therefore the THEORETICAL PROBABILITY that the tree is not within the acres of apple trees is 37.5%

Answer:

the answer is 37.5

Step-by-step explanation:

it is

Answer:

[tex]{ \sf{( \sec \theta - \csc \theta)(1 + \tan \theta + \cot \theta) }} \\ = { \sf{( \sec \theta + \tan \theta \sec \theta + \cot \theta \sec \theta) - ( \csc \theta - \csc \theta \tan \theta - \csc \theta \cot \theta)}} \\ = { \sf{( \sec \theta + \sec \theta \tan \theta + \csc \theta) - ( \csc \theta - \sec \theta - \csc \theta \cot \theta)}} \\ = { \sf{ \sec \theta \tan \theta + \csc \theta \cot \theta }} \\ { \bf{hence \: proved}}[/tex]

r h==ptgggggggggggggggggggggggggggggggggggggggggggggggggggtnnnnnnn

Answer:

5.7

Step-by-step explanation:

9^2=x^2+7^2

Solving for x we get 81 - 49 which is 32.

The square root of 32 rounds to 5.7

Answer:

11m

I did it by Geometry and used the scale : 1cm represents 5m

Answer:

[tex]y = \frac{1}{4}x -2[/tex]

Step-by-step explanation:

Step 1:  Find the standard form of the equation

The equation that was given made no sense so I will recreate the entire equation using the point slope formula.

Use the point slope formula

[tex]y - y_{1} = m(x - x_{1})[/tex]

[tex]y - (-3) = m(x - (-4))[/tex]

[tex]y +3 = m(x + 4)[/tex]

Find the slope

[tex]m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

[tex]m = \frac{1-(-3)}{12-(-4)}[/tex]

[tex]m = \frac{1+3}{12+4}[/tex]

[tex]m = \frac{4}{16}[/tex]

[tex]m=\frac{1}{4}[/tex]

Combine them together

[tex]y +3 = \frac{1}{4}(x + 4)[/tex]

Convert to standard form

[tex]y +3 = \frac{1}{4}x + 1[/tex]

[tex]y +3 - 3 = \frac{1}{4}x + 1 - 3[/tex]

[tex]y = \frac{1}{4}x -2[/tex]

Answer:  [tex]y = \frac{1}{4}x -2[/tex]

Answer:

2 1/4 cups.

Step-by-step explanation:

If we want to find the total amount of cheese Belle used, we have to add the number of cups of cheddar and parmesan together:

2 + 1/4 = 2 1/4

Therefore, our answer is 2 1/4, specifically, 2 1/4 cups.

Answer:

x= 1/8 is the correct answer

Answer:

1/8

Step-by-step explanation:

7x-x=3/4

6x=3/4

6x/6=3/4÷6

x=1/8

Answer:

Step-by-step explanation:

Solve for a:

Answer:

Hello,

m=2

(0,-3) True

(1,-1) True

(1.5,0) True

(-2,-2) False

Step-by-step explanation:

[tex]\left\{\begin{array}{ccc}y&=&mx-6\\8x-4y&=&12\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}y&=&mx-6\\y&=&2x-3\\\end{array}\right.\\\\\\The\ slope\ must\ be\ the\ same:\ m=2\\\\\\\begin{array}{c|c}&y=2x-3\\---&--------\\x&y\\0&2*0-3=-3\\1&2*1-3=-1\\1.5&2*1.5-3=0\\-2&2*(-2)-3=-7\\\end{array}[/tex]

Answer:

all real numbers

Step-by-step explanation:

The domain is the numbers that the input, x, can take

We can put in any real number for x since there are no restrictions on the input

Answer:

option D is domain

Step-by-step explanation:

because no change is happen in range by keeping any real number

Answer:

Domain of the given figure is the set of all real numbers.

Step-by-step explanation:

We know that domain is the possible values of x and through the graph it's clear that we can put any value of x in the given function.

Step-by-step explanation:

2+2=4

two plus two is four

Step-by-step explanation:

Answer:

x=4and -5/7

Step-by-step explanation:

i hope it will be easy

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\text{Equation}\downarrow[/tex]

[tex]\large\textsf{(2x - 8)(7x + 5) = 0}[/tex]

[tex]\large\text{Step-by-Step}\downarrow[/tex]

[tex]\large\text{SIMPLIFY EACH SIDES OF THE EQUATION}[/tex]

[tex]\large\textsf{14x}\mathsf{^2} \large\textsf{ - 14x - 40 = 0}[/tex]

[tex]\large\text{FACTOR the LEFT SIDE of the EQUATION}[/tex]

[tex]\large\textsf{2 (7x + 5) (x - 4) = 0}[/tex]

[tex]\large\text{SET the FACTORS to EQUAL 0}[/tex]

[tex]\large\textsf{7x + 5 = 0 OR x - 4 = 0}[/tex]

[tex]\large\text{SIMPLIFY BOTH OF YOUR EQUATIONS \& YOU HAVE YOUR ANSWER}[/tex]

[tex]\boxed{\boxed{\large\textsf{Therefore, your ANSWER is: \bf x = }\mathsf{\bf - \dfrac{5}{7}\large\textsf{ \bf or x = 4}}}} \huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer: 25

Step-by-step explanation:

80 - 55 = 25 super bouncy balls given away

So he gave away 25 balls.

Answer:

270.

Step-by-step explanation:

If the first term = a and 10th term = a + 9d where d = the common difference.

a + 9d - a = 45 - 9

9d = 36

d = 4.

Sum of first 10 terms = (10/2)[2*9 + (10-1)*4]

= 5 * (18 + 36)

= 5 * 54

= 270.

Answer:

hope this might help you

Answer: [tex]\left | 2t-5\right |,\ 2,\ 2t-5[/tex]

Step-by-step explanation:

Given

Position of the particle moving along the coordinate axis is given by

[tex]s(t)=t^2-5t+1[/tex]

Speed of the particle is given by

[tex]\Rightarrow v=\dfrac{ds}{dt}\\\\\Rightarrow v=\dfrac{d(t^2-5t+1)}{dt}\\\\\Rightarrow v=\left | 2t-5\right |[/tex]

Acceleration of the particle is

[tex]\Rightarrow a=\dfrac{dv}{dt}\\\\\Rightarrow a=2[/tex]

velocity can be negative, but speed cannot

[tex]\Rightarrow v=\dfrac{ds}{dt}\\\\\Rightarrow v=\dfrac{d(t^2-5t+1)}{dt}\\\\\Rightarrow v=2t-5[/tex]

Answer:

PT = 16.3 units

Step-by-step explanation:

From the picture attached,

From ΔPQR and ΔPST,

QR ║ST [Given]

PQ is a transversal line.

Therefore, ∠PST ≅ ∠PQR [Corresponding angles]

∠P ≅ ∠P [Common angle]

ΔPQR ~ ΔPST [By AA property of similarity of two triangles]

Therefore, by the property of similarity, corresponding sides of the similar triangles will be proportional.

[tex]\frac{PQ}{PS}=\frac{PR}{PT}[/tex]

[tex]\frac{12+28}{28}= \frac{PT+7}{PT}[/tex]

[tex]\frac{40}{28}=1+\frac{7}{PT}[/tex]

[tex]\frac{10}{7}-1=\frac{7}{PT}[/tex]

[tex]\frac{10-7}{7}=\frac{7}{PT}[/tex]

PT = [tex]\frac{49}{3}[/tex]

PT = 16.3 units

Answer:

i think ..................

Step-by-step explanation:

society idsbwj ja

Answer:

FH ≈ 15.20

Step-by-step explanation:

Using the Altitude- on- Hypotenuse theorem

(leg of large triangle)² = (part of hypotenuse below it ) × (whole hypotenuse )

FH² = 11 × (11 + 10) = 11 × 21 = 231 ( take the square root of both sides )

FH = [tex]\sqrt{231}[/tex] ≈ 15.20 ( to 2 dec. places )

Answer:

Step-by-step explanation:

(4x-6)/5 = 10

4x-6 = 50

4x = 56

x = 14

Answer:

the answer is 20m/s

Step-by-step explanation:

speed = distance/time which equals to speed = 800/40, so the answer is 20m/s

Answer:

20m /s

Step-by-step explanation:

Speed = [tex]\frac{Distance}{time}[/tex]

             [tex]= \frac{800}{40}=\frac{80}{4}= 20[/tex]