For the angle 0 = 150° moving counter-clockwise in standard position, determine which
primary trigonometric ratio is positive.

Answer:

x= 20

y = 10

Step-by-step explanation:

Angles 3x° and 60° are Corrosponding angles so they are equal:

[tex]3x = 60 \\ \frac{3x}{3} = \frac{60}{3} \\ x = 20[/tex]

Angles (5y-5)° and 135° are Cointerior so add to give 180°:

[tex]5y - 5 + 135 = 180 \\ 5y + 130 = 180 \\ 5y = 180 - 130 \\ \frac{5y}{5} = \frac{50}{5} \\ y = 10[/tex]

Substitute y and x into the respective formula's to get your angles.

Answer:

V= 936m³

Step-by-step explanation:

Formula:

Volume = L * W * H

Volume1= L * W * H

= 16 * 9 * 6

= 864m³

Volume2= L * W * H

= 6 * 2 * 6

= 72m³

Add both volumes to get total volume.

= 864m³ + 72m³ = 936m³

Hope this helps!

Have a nice dayy! :)

Step-by-step explanation:

Given

Inequalities are [tex]y\leq -\dfrac{1}{3}x+2[/tex] and [tex]y>2x-3[/tex]

Take the inequality as two equations to get the intersection point

[tex]y=-\dfrac{1}{3}x+2\ and\ y=2x-3[/tex]

Equate the value of y

[tex]\Rightarrow -\dfrac{1}{3}x+2=2x-3\\\Rightarrow 5=\dfrac{7x}{3}\\\\\Rightarrow x=\dfrac{15}{7}[/tex]

[tex]\therefore y=1.286[/tex]

The common region gives the required regions for inequalities.

Answer: 2 to the 8th power

Step-by-step explanation:

Answer:

Step-by-step explanation:

27 degrees

Answer:

Why was Mrs Hallette unhappy when people asked about her son?

Step-by-step explanation:

Step-by-step explanation:

It is known that area of a circular is calculated as follows.

[tex]Area = \pi \times r^{2}[/tex]

So, when a circular field of area of approximately 500 [tex]m^{2}[/tex] is there then diameter of the field is calculated using the measuring tape from one side of the circular tape to the other. Now, to  calculate the radius it is required to divide the diameter by 2.

Hence, put these values into the above formula to find out the area. In this way we can find out the area of given circular field accurately by using a measuring tape.

Answer:

22h−9.25

Step-by-step explanation:

9514 1404 393

Answer:

  it depends on what the question is (no question is given)

Step-by-step explanation:

What you add or subtract will depend on the problem you're trying to solve, and how you're trying to solve it.

Perimeter

The two left-side vertical segments are 13 and 3. The right-side vertical segment is 16. As you can see, these have the same total: 16.

The top horizontal segment has a length of 21. The two bottom horizontal segments have lengths 16 and 5, for a total of 21—the same as the top segment.

For simple L-shaped figures like this, the overall horizontal lengths and the overall vertical lengths are the same as they would be for a rectangle that is 21 wide and 16 high.

  P = 2(L+W) = 2(21+16) = 2(37) = 74 units

__

Area

The dashed lines divide this figure into 3 rectangles.

  left side: 16 wide by 13 high

  upper right: 5 wide by 13 high

  lower right: 5 wide by 3 high

You can see that the vertical measures must "add up", as must the horizontal measures. This fact helps you determine the lengths of the unmarked sides.

You can compute the area from the three rectangles identified above, or any of several other ways. One of my favorite is to compute the overall area of the 21 wide by 16 high rectangle, then subtract the 16 wide by 3 high white space at lower left.

  area = 21·16 -16·3 = 16·(21 -3) = 16·18 = 288 . . . . square units

Adding the 3 rectangles identified above gives ...

  16·13 +5·13 +5·3 = 208 +65 +15 = 288 . . . . same area

Answer:

nah its a.

Step-by-step explanation:

bakit?(#boyinthebrainly)

Answer:

- 5, 3, 11, 19, 27, 35

Step-by-step explanation:

Using the recursive rule and a₁ = - 5

a₂ = a₁ + 8 = - 5 + 8 = 3

a₃ = a₂ + 8 = 3 + 8 = 11

a₄ = a₃ + 8 = 11 + 8 = 19

a₅ = a₄ + 8 = 19 + 8 = 27

a₆ = a₅ + 8 = 27 + 8 = 35

The first six terms are - 5, 3, 11, 19, 27, 35

Step-by-step explanation:

add all the freqency up which is 100

you have to use a customize spinner and put in all the colors that are all on the side...

Spin 150 times ( 250-100= 150) and put tally marks on the sheet of tallys.

Then count all you red and see.

Hope all that makes sense..

Answer:

Step-by-step explanation:

x^2 －6x-8=0

Answer:

49

Step-by-step explanation:

The average is calculated as

average = [tex]\frac{sum}{count}[/tex] Given the average of 7 numbers is 45 , then

[tex]\frac{sum}{7}[/tex] = 45 ( multiply both sides by 7 )

sum of 7 numbers = 315

Subtract 27, 43 from the sum to obtain the sum of first 5 numbers

315 - (27 + 43) = 315 - 70 = 245 , then

average of first 5 numbers = [tex]\frac{245}{5}[/tex] = 49

Answer:

[tex]\Delta y = A[/tex] (Amplitude) (Correct answer: 1)

[tex]\omega = B[/tex] (Angular frequency) (Correct answer: 2)

[tex]x_{o} = C[/tex] (Phase shift) (Correct answer: 3)

[tex]y_{o} = D[/tex] (Vertical shift) (Correct answer: 4)

[tex]\frac{2\pi}{\omega} = \frac{2\pi}{B}[/tex] (Period) (Correct answer: 5)

Step-by-step explanation:

The general form of a sinusoidal function is represented by the following characteristics:

[tex]y = \Delta y \cdot \sin \omega\cdot (x- x_{o}) + y_{o}[/tex] (1)

Where:

[tex]\Delta y[/tex] - Amplitude.

[tex]\omega[/tex] - Angular frequency.

[tex]x_{o}[/tex] - Phase shift.

[tex]y_{o}[/tex] - Vertical shift.

[tex]x[/tex] - Independent variable.

[tex]y[/tex] - Dependent variable.

In addition, we know that the period associated with the sinusoidal function ([tex]T[/tex]) is:

[tex]T = \frac{2\pi}{\omega}[/tex]

By direct comparison, we get the following conclusions:

[tex]\Delta y = A[/tex] (Amplitude) (Correct answer: 1)

[tex]\omega = B[/tex] (Angular frequency) (Correct answer: 2)

[tex]x_{o} = C[/tex] (Phase shift) (Correct answer: 3)

[tex]y_{o} = D[/tex] (Vertical shift) (Correct answer: 4)

[tex]\frac{2\pi}{\omega} = \frac{2\pi}{B}[/tex] (Period) (Correct answer: 5)

Answer:

Step-by-step explanation:

▶️ Penyelesaian:

100

20 +

120 ✅

Answer:

what?

Step-by-step explanation:

Answer:

its B

Step-by-step explanation:

3.14 then pi (3.14159) then 22 ÷ 7 (3.1428) then square root of 10 (3.16)

Answer:

B

Step-by-step explanation:

pi=3.141592654

square root of 10=3.16227766

3.14=3.14

22/7=3.142857143

Answer:

the answer is the intersection is a line

Answer:

= 4/ 3

Step-by-step explanation:

-x+3/7=2x-25/7

We move all terms to the left:

-x+3/7-(2x-25/7)=0

We add all the numbers together, and all the variables

-x-(+2x-25/7)+3/7=0

We add all the numbers together, and all the variables

-1x-(+2x-25/7)+3/7=0

We get rid of parentheses

-1x-2x+25/7+3/7=0

We multiply all the terms by the denominator

-1x*7-2x*7+25+3=0

We add all the numbers together, and all the variables

-1x*7-2x*7+28=0

Wy multiply elements

-7x-14x+28=0

We add all the numbers together, and all the variables

-21x+28=0

We move all terms containing x to the left, all other terms to the right

-21x=-28

x=-28/-21

x=1+1/3

Answer:

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

Step-by-step explanation:

Given

- x + [tex]\frac{3}{7}[/tex] = 2x - [tex]\frac{25}{7}[/tex] ( multiply through by 7 to clear the fractions )

- 7x + 3 = 14x - 25 ( subtract 14x from both sides )

- 21x + 3 = - 25 ( subtract 3 from both sides )

- 21x = - 28 ( divide both sides by - 21 )

x = [tex]\frac{-28}{-21}[/tex] = [tex]\frac{4}{3}[/tex]

Answer:

The average rate of change of h(x) in the given interval is 7.

Step-by-step explanation:

When we want to find the average rate of change of a function f(x), in an interval a < x < b, we just need to calculate:

[tex]r = \frac{f(b) - f(a)}{b - a}[/tex]

Here we have:

h(x) = 2*x^2 - 7*x

And we want to find the average rate of change between x = 2 and x = 5

This will be:

[tex]r = \frac{h(5) - h(2)}{5 - 2} = \frac{(2*5^2 - 7*5) - ( 2*2^2 - 7*2)}{3} = \frac{15 - (-6)}{3} = \frac{21}{3} = 7[/tex]

The average rate of change of h(x) in the given interval is 7.

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf {C. \:20.25}}}}}}[/tex]

[tex]0.25, 0.75, 2.25, 6.75,20.25,..[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex]0.25, 0.75, 2.25, 6.75,20.25 \\ \\ ➺ \: 0.25 \times 3 = 0.75 \\ \\ ➺ \: 0.75 \times 3 = 2.25 \\ \\ ➺ \: 2.25 \times 3 = 6.75 \\ \\ ➺ \: 6.75 \times 3 = 20.25[/tex]

[tex]\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35♛}}}}}[/tex]

Answer:

x = ±2

 x = ±i

Step-by-step explanation:

(x^2+4)^2 – 11(x^2+4) + 24 = 0

Let m = x^2 +4

(m)^2 – 11(m) + 24 = 0

Solving this quadratic

What two numbers multiply to 24 and add to -11

-8*-3 =24

-8-3 = -11

(m-8)(m-3) =0

m = 8   m=3

Now substitute back

x^2 +4 = 8    x^2 +4 = 3

x^2 +4-4 = 8-4    x^2+4-4 = 3-4

x^2 = 4                      x^2 = -1

Taking the square root

sqrt(x^2) = sqrt(4)                      sqrt(x^2) = sqrt(-1)

x = ±2                                           x = ±i

Answer:

one value of x = 2

Step-by-step explanation:

[tex](x^2 + 4 )^2 - 11(x^2 + 4 ) + 24 = 0\\\\x^4 + 16 + 8x^2 - 11x^2 -44 + 24 = 0\\\\x^4 - 3x^2 -4 = 0\\\\[/tex]   ------ ( 1 )

[tex]Let \ x^2 \ = \ u[/tex]

( 1 ) => [tex]u^2 - 3u - 4 = 0[/tex]

         [tex]u^2 -4u + u - 4 = 0\\\\u(u - 4) + 1 (u - 4) = 0\\\\(u + 1) (u - 4) = 0\\\\u = -1 \ , \ u = 4[/tex]

   [tex]=> x^2 = - 1 \ and \ x^2 = 4[/tex]

      [tex]x = \sqrt {-1} = i[/tex]

      [tex]x = \sqrt{4} = \pm 2[/tex]

Answer:

[tex]y = \sqrt{900 - x^2[/tex]

Step-by-step explanation:

Given

From the complete question, we have:

[tex]r=30[/tex] --- radius

Required

Expression for the height of the roller coaster

We have:

[tex]x^2 + y^2 = r^2[/tex] --- equation of circle

Substitute 30 for r

[tex]x^2 + y^2 = 30^2[/tex]

[tex]x^2 + y^2 = 900[/tex]

Since the roller coaster is half of the circle, the height is defined by y.

So: make y the subject

[tex]y^2 = 900 - x^2[/tex]

Take square roots

[tex]y = \sqrt{900 - x^2[/tex]

Hence, the height is:

[tex]\sqrt{900 - x^2[/tex]

error = 62-60 = 2°

% = (2×100)/60 = 100/30 = 10/3 = 3.333%

Answer:

two

Step-by-step explanation:

The number of solutions is the number of times the graphs intersect.

The line and the parabola intersect two times, so there are two solutions

Answer:

1 : 2

Step-by-step explanation:

the ratio is 1 : 2

_____

Answer:

[tex]5[/tex]

Step-by-step explanation:

Segments are named by their endpoints. Therefore, segment PQ will have endpoints P and Q. The length of the segment is equal to the distance between these points.

To find the distance between P and Q given their coordinates, use the distance formula:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Let:

[tex]P(-2, 7)\implies (x_1, y_1),\\Q(1, 3)\implies (x_2, y_2)[/tex]

The distance between these points is equal to:

[tex]d=\sqrt{(1-(-2))^2+(3-7)^2},\\d=\sqrt{3^2+(-4)^2},\\d=\sqrt{9+16},\\d=\sqrt{25},\\d=\boxed{5}[/tex]

Answer:

[tex]5[/tex]

Step-by-step explanation:

This problem gives one the following points on a line: ([tex]P(-2,7)[/tex]), and ([tex]Q(1,3)[/tex]). The problem asks one to find the distance between the two points. The formula to find the distance between two points on a coordinate point is the following,

[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Substitute the given values in and solve for the distance;

[tex]D=\sqrt{(-2)-(1))^2+((7)-(3))^2}[/tex]

Simplify,

[tex]D=\sqrt{(-2)-(1))^2+((7)-(3))^2}\\\\D=\sqrt{(-3)^2+(4)^2}\\\\D=\sqrt{9+16}\\\\D=\sqrt{25}\\\\D = 5[/tex]