What must the measure of the
angle marked yº be in order for the seat of the bench to be
parallel to the ground?

Answer:

The sample space is 29........

The value of θ within the interval is 210 and 330 degrees

Given the equation;

[tex]2sin^2 \theta = 5sin \theta - 3[/tex]

The equation will become;

2P² = 5P - 3

2P² - 5P - 3 = 0

Factorize;

2P² - 6P + P- 3 = 0

2P(P-3) + 1(P -3) =0

2P + 1 = 0 and P - 3  = 0

p = -1/2 and  3

Since P = sinθ

sinθ = -1/2

θ = -30 degres

Since sine is negative in the second 3rd and 4th quadrant

θ = 180 + 30 = 210 degrees

θ2 = 360  - 30 = 330 degrees

Hence the value of θ within the interval is 210 and 330 degrees

Learn more on trigonometry here: https://brainly.com/question/24349828

Answer:

80

Step-by-step explanation:

All triangle angles add up to 180 so:

4x - 20 + 2x + 2x = 180

8x - 20 = 180

8x = 200

x = 25

<H:

4x - 20

4(25) - 20

100 - 20

80

Answer:

what?

Step-by-step explanation:

if your asking to filter out all questions for only those that give you 50 points, its not possible at this moment

Answer:

18 sharpened pencils

Step-by-step explanation:

Total = 30 pencils

100% = 30 pencils

1% = 30 ÷ 100 = 0.30

60% = 0.30 x 60 = 18

Answer:

18 sharpened pencils

Step-by-step explanation:

the percent 3/5 can be multiplied by 6 to give u 18/30

Answer: 12xy + 12xyz

Step-by-step explanation:

15xyz - 3xyz = 12xyz + 12xy

Answer:

16 cm

Step-by-step explanation:

Since all sides of a square are equal

Side x can be gotten using pythagoras theorem

Answer: 1,820 Pushups

Step-by-step explanation: 29+36=65

65 x 7 (days in a week)=455

455 x 4(as in the 4 weeks)=1,820 Pushups total

I hope this helped! let me know if you need more help! :)

Answer:

12a-60

Step-by-step explanation:

12(a-5)

=12a-12*5

Multiply 12 *5=60

=12a-60

Answered by NONE other than the ONE & ONLY #QUEEN herself aka #DRIPPQUEENMO!!!

HOPE THIS HELPED!!!

Answer:

[tex]\huge\boxed{\boxed{12a-60}}[/tex]

Step-by-step explanation:

Hello.

The Distributive Property states that

a(b+c)=ab+ac

Where

a, b, and c can be either constants or variables

we distribute a by multiplying it times b and c, and simplify if necessary.

In this case, we should distribute 12:

12(a-5)

12 times a and 12 times (-5):

12a-60

And we're done!

I hope it helps & have an outstanding day!

~ST2710 :)

Answer:

41

Step-by-step explanation:

Usando BODMAS, entonces que tenemos

(2 + 4 * 3) =

(2 + 12) =

14

Con el segundo uno, tenemos

(3 * 2 - 2 * 2). Con esto, dices que

(3 * 2) - (2 * 2) =

6 - 4 =

2

Y ahora, decimos que

3 * (14) - 2(2) + 5 - 2 =

42 - 4 + 3 =

42 - 1 = 41

Nos respuesta a la pregunta es 41. Espero que tú entiendas

Answer

Step-by-step explanation:

mulitiply the numbers

add the numbers

rearrange the numbers

Answer:

45.8

Step-by-step explanation:

Answer:

y = 1

Step-by-step explanation:

Answer: C. 64 ft

Step-by-step explanation:

Answer: n=4

Step-by-step explanation:

Uh I did some trial and error and it came up with the right answer

Answer and Step-by-step explanation:

1. We can see that this kite-shape has 4 triangles in it.

The area of a triangle is as follows:

[tex]A = \frac{bh}{2}[/tex]

Where:

b = Base (length)

h = Height

Top Right Triangle Area:

b = 9

h = 3

A = [tex]\frac{3 * 9}{2}[/tex]

A = [tex]\frac{27}{2}[/tex]

Bottom Right Triangle Area:

b = 9

h = 3

A = [tex]\frac{3 * 9}{2}[/tex]

A = [tex]\frac{27}{2}[/tex]

Top Left Triangle Area:

b = 4

h = 3

[tex]A = \frac{4*3}{2}[/tex]

A = [tex]\frac{12}{2}[/tex]

A = 6

Bottom Left Triangle Area:

b = 4

h = 3

[tex]A = \frac{4*3}{2}[/tex]

A = [tex]\frac{12}{2}[/tex]

A = 6

Now, we add all the areas together to get the area of the kite figure.

A = [tex]\frac{27}{2}[/tex] +

A = 27 + 12

A = 39

The area of the kite figure is 39 [tex]m^{2}[/tex].

2. We have to find the area of the trapezoid.

(I'm not sure if the 9 is for the entire bottom side length)

A = [tex]\frac{a + b}{2} h[/tex]

to find the area of the entire trapezoid.

A = [tex]\frac{2.4 + 9}{9}[/tex] × 8.2

A ≈ 46.74 [tex]mi^{2}[/tex]

#teamtrees #PAW (Plant And Water)

Answer:

1

Step-by-step explanation:

Answer:

5units

Step-by-step explanation:

Given the two vertices of a rectangle at (3,2) and (8,2). We are to calculate the distance between the two points.

Using the formula

D = √(x2-x1)²+(y2-y1)²

D = √(2-2)²+(8-3)²

D = √0+5²

D =  √25

D = 5

Hence the length of the side of the rectangle is 5units

Answer:

It’s false

Step-by-step explanation:

It doesn’t need to be the same

Answer: [tex]6x-5[/tex]

Step-by-step explanation:

Given

The side lengths of a triangle are  [tex]3x-5, 2x-1,\text{and}\ x+1[/tex]

Perimeter(P) is the sum of the side length of the triangle i.e.

[tex]\Rightarrow P=3x-5+2x-1+x+1\\\Rightarrow P=6x-5[/tex]

Therefore, the perimeter of the triangle is [tex]6x-5[/tex]

Answer:

Step-by-step explanation:

The mean is the average of the numbers. It is easy to calculate: add up all the numbers, then divide by how many numbers there are. In other words it is the sum divided by the count.

1+1+1+1+2+3=9

2+4+4+5+6+6+7+8+8=50

50/9=5.55555555556

or

9/50=0.18

Answer:

x = 19

Step-by-step explanation:

Here, we want to find the value of x

To get this, we use one of the important circle theorems. This is the theorem of secant segments

We have this that;

8(8 + x)= 9(9 + 15)

64 + 8x = 216

8x =

216-64

8x = 152

x =

152/8

x = 19

Answer:

Scale factor = 4

Step-by-step explanation:

Scale factor = [tex]\frac{\text{Dimension of the larger (Image) triangle}}{\text{Dimension of the smaller (Preimage) triangle}}[/tex]

From the given triangle,

Length of one side of the larger triangle = 8 units

Length of the corresponding side of the smaller triangle = 2 units

By substituting the values in the formula of scale factor,

Scale factor = [tex]\frac{8}{2}[/tex]

Scale factor = 4

Answer:

q = - 13

Step-by-step explanation:

Calculate the slope m using the slope formula and equate to 6

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

with (x₁, y₁ ) = (- 1, q) and (x₂, y₂ ) = (0, - 7)

m = [tex]\frac{-7-q}{0+1}[/tex] = - 7 - q , then

- 7 - q = 6 ( add 7 to both sides )

- q = 13 ( multiply both sides by - 1 )

q = - 13

Answer:

q = -13?

Step-by-step explanation:

the equation is y = mx + c

m is the gradient

c is the y-intercept

where the line crosses the y axis

If 6 is the gradient then the equation is

y = 6x + c

Find c by using the coordinates given:

-7 = ( 6× 0) +c

-7 = 0 + c

c = -7

the equation is y = 6x -7

Substitute the other coordinates to find q:

y or q = (6 ×-1) - 7

q = -6 -7

q = -13