A color wheel is divided into 6 equal pieces.

Select all of the true statements about the pieces of the color wheel. A.
Two pieces have a total of 180°.

B.
Four pieces turn through 240 one-degree angles.

C.
Two 90° angles can fit into 3 pieces of the color wheel.

D.
Two pieces have a total angle measure of 90°.

E.
Each piece has an angle measure of 60°.

Answer:

1 picnic table : 9 benches

Step-by-step explanation:

You just simplify the equation down to its simplest form, so since they both have the gcf of 6, you divided both sides by 6, which results in the answer above.

Answer:

7x+9y=45

Step-by-step explanation:

Răspuns:

150 m

Explicație pas cu pas:

Reamintim:

Perimetrul unui dreptunghi, P

P = 2 (lungime + lățime)

P = 400

Lățime = x

Lungime = 3x

Astfel, avem:

400 = 2 (3x + x)

400 = 2 (4x)

400 = 8x

Împărțiți ambele părți la 8

50 = x

Lungime = 3x

Lungime = 3 * 50

Lungime = 150 m

9514 1404 393

Answer:

  25°

Step-by-step explanation:

The relevant trig relation is ...

  Sin = Opposite/Hypotenuse

  sin(?) = 25/60

  ? = arcsin(25/60) ≈ 24.62°

The indicated angle is about 25°.

Answer:

[tex]-186 \to -32 \to 6 \to 27 \to 28\ to 38 \to 56 \to 90 \to 115[/tex]

Step-by-step explanation:

Given

See attachment for A and B

Required

Arrange AB in ascending order

We have:

[tex]A = \left[\begin{array}{ccc}1&7&-1\\5&-2&-9\\-3&8&3\end{array}\right][/tex]

and

[tex]B = \left[\begin{array}{ccc}5&1&7\\3&15&-2\\-1&-9&25\end{array}\right][/tex]

So:

[tex]C = A * B[/tex]

[tex]C = \left[\begin{array}{ccc}1&7&-1\\5&-2&-9\\-3&8&3\end{array}\right] * \left[\begin{array}{ccc}5&1&7\\3&15&-2\\-1&-9&25\end{array}\right][/tex]

[tex]C = \left[\begin{array}{ccc}{27}&{115}&{-32}\\{28}&{56}&{-186}\\{6}&{90}&{38}\end{array}\right][/tex]

Where:

[tex]C_{1,1} =1*5 + 7*3 + (-1) * (-1)[/tex]

[tex]C_{1,2} =1*1 + 7*15 + (-1)*(-9)}[/tex]

[tex]C_{1,3} = 1*7 + 7*(-2) + (-1)*25}[/tex]

[tex]C_{2,1} = 5*5 + (-2)*3 + (-9) * (-1)}[/tex]

[tex]C_{2,2} = 5*1 + (-2)*15 + (-9)*(-9)}[/tex]

[tex]C_{2,3} = 5*7 + (-2)*(-2) + (-9)*25}[/tex]

[tex]C_{3,1} =(-3)*5 + 8*3 + 3 * (-1)[/tex]

[tex]C_{3,2} = (-3)*1 + 8*15 + 3*(-9)[/tex]

[tex]C_{3,3} = (-3)*7 + 8*(-2) + 3*25[/tex]

In increasing order, we have:

[tex]-186 \to -32 \to 6 \to 27 \to 28\ to 38 \to 56 \to 90 \to 115[/tex]

Answer:

-7

Step-by-step explanation:

f(x)=4x+5

Let x =-3

f(-3)=4*-3+5

Multiply

f(-3)=-12+5

Add

f(-3) = -7

Answer:

Numbner of plant in field = 2,020

Cost of planting trees = R.s 151,500

Step-by-step explanation:

GIven:

Side of square field = 45 m

Area of well = 5 square meter

1 plant = 1 squre meter

Cost per tree = R.s 75

Find:

Numbner of plant in field

Cost of planting trees

Computtaion:

Area of planting trees = Area of filed - Area of well

Area of planting trees = [45 x 45] - 5

Area of planting trees = 2,025 - 5

Area of planting trees = 2,020 squre field

Numbner of plant in field = Area of planting trees /  1 squre meter

Numbner of plant in field = 2,020

Cost of planting trees = 75 x Numbner of plant in field

Cost of planting trees = 75 x 2,020

Cost of planting trees = R.s 151,500

Answer:

y=2x+6

Hope I helped, have a nice day :)

Answer:

y=2x +6

Step-by-step explanation:

(18-12)

(6-3)

6/3 = 2

m=2

Answer:

m = 18

Step-by-step explanation:

10/15 = m/12

Cross multiply using the butterfly method.

15m = 10*12

15m = 120

Divide both sides by 15.

m = 8

I personally like to use ratios but I am not sure if that's what you want. Anyway here's my answer

Answer: [tex]337.77\%[/tex]

Step-by-step explanation:

Given

For 70 year old, premium is 79.79 per month

For 80 year old it is 349.30 per month

Percentage increase in premium costs from age 70 to 80 is

[tex]\Rightarrow \%\ \text{increase}=\dfrac{349.30-79.79}{9.79}\times 100\\\\\Rightarrow \%\ \text{increase}=\dfrac{269.51}{79.79}\times 100\\\\\Rightarrow \%\ \text{increase}=337.77\%[/tex]

Answer:

1) glazed = 48 people

Chocolate = 72 people

Jelly = 24 people

Coconut = 16 people

2)9th grade = 219 students

10th grade = 167 students

11th grade = 147 students

12th grade = 151 students

Step-by-step explanation:

We are solving the examples;

1) We are told that there are 20 students in Kayla's first period class.

No. that preferred glazed donuts = 6

No. that preferred chocolate donuts = 9

No. that preferred jelly donut = 3

Number that preferred coconut donut = 2

Now,there are a total of 160 students in the entire grade. So to find the Number of students in this entire grade that will each prefer the types of donuts listed above, we will solve as;

For glazed donuts; 6/20 × 160 = 48 people

For chocolate donuts; 9/20 × 160 = 72 people

For jelly donut; 3/20 × 160 = 24 people

For coconut donut; 2/20 × 160 = 16 people

2) Total number of students is;

9th grade = 300 students

10th grade = 275 students

11th grade = 250 students

12th grade = 280 students

73% of 9th grade prefer valorant. Thus;

73% × 300 ≈ 219 students

61% of 10th grade prefer valorant. Thus;

61% × 275 ≈ 167 students

59% of 11th grade prefer valorant. Thus;

59% × 250 ≈ 147 students

54% of 12th grade prefer valorant. Thus;

54% × 280 ≈ 151 students

Answer:

english!? sorry

Step-by-step explanation:

Answer:

90.8

Step-by-step explanation:

20/13 = x/59

13x = 1180

x=90.76

x=90.8

Answer:

2

Step-by-step explanation:

x + 1/x = 2

x + 1 = 2x

x = 1

x³ + 1/x³

1³ + 1/1³.

1 + 1/1 = 1 + 1 = 2

Answer:

8n - 3.9

Step-by-step explanation:

Given

- (- 8n + 3.9 ) ← multiply each term in the parenthesis by - 1

= 8n - 3.9

Answer:

D

Step-by-step explanation:

Using the sine ratio in the right triangle

sin51° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{9}{y}[/tex] ( multiply both sides by y )

y × sin51° = 9 ( divide both sides by sin51° )

y = [tex]\frac{9}{sin51}[/tex] ≈ 11.6 ( to 1 dec. place ) → D

Answer:

C

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos24° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{10}[/tex] → C

Note

sin24° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{4}{10}[/tex] ( which does not include x )

tan24° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{4}{x}[/tex] ≠ [tex]\frac{x}{4}[/tex]

Answer:

A and F

Step-by-step explanation:

Given

Intersecting lines

Required

The vertical and congruent angles

The two vertical lines are not parallel. So, we cannot conclude any relationship between angles A, B, E, F and angles C, D, H, G

Comparing angles A, B, E and F; we have:

[tex]\angle A = \angle F[/tex] --- Vertical opposite angles

[tex]\angle B = \angle E[/tex] --- Vertical opposite angles

From the given options,

[tex]\angle A = \angle F[/tex] is true

Answer:

B

Step-by-step explanation:

The shape is maintained exactly, it is rotated, not reflected and we can see it became smaller, so dilate it by a value less than one, but greater than 0. (2/3)

Let's take a look at our table here in order to solve the problem. We need to know what g(0) and g(4) are to be able to solve.

Since we are plugging in x-values and looking for y-values, we simply need to find 0 and 4 on the left side of the table (the x side), and then find their corresponding g(x), or y, values.

g(0) = -5

g(4) = -4

Now, all that's left to do is add these two values.

-5 + -4

-9

Hope this helps!! :)

Answer:

- 9

Step-by-step explanation:

g(0) = - 5 ← value of g(x) when x = 0

g(4) = - 4 ← value of g(x) when x = 4

Then

g(0) + g(4) = - 5 + (- 4) = - 5 - 4 = - 9

Answer:

Step-by-step explanation:

Roots:  set y = x^2 + 8x + 12 = 0 and solve for x:  x + 6 = 0, so x = -6 is one root.  The other is x = -2.  The corresponding points are (-6, 0) and (-2, 0).

y-intercept:  Let x = 0.  Then y = 12.  The y-intercept is (0, 12).

Axis of symmetry:  x = -b / (2a) => x = -8/(2*1) = -4:  x = -4

Vertex y-value:  evaluate y at x = - 4:  (-4)^2 + 8(-4) + 12 = -4:    (-4, -4)

Arbitrarily chosen x value:  x = 1 => 1^2 + 8(1) + 12 = 21:     (1, 21)

The five points are:  (-6, 0) and (-2, 0), (0, 12), (-4, -4), (1, 21).  The vertex is (-4, -4).  The parabolic graph opens UP.

The vertex of the parabolic equation y = x² + 8x + 12 will be at (-4, -4).

Let the point (h, k) be the vertex of the parabola and a be the leading coefficient.

Then the equation of the parabola will be given as,

y = a(x - h)² + k

The equation is given below.

y = x² + 8x + 12

Conver the equation into a vertex form. Then we have

y = x² + 8x + 12

y = x² + 8x + 16 - 16 + 12

y = (x + 4)² - 4

The vertex of the parabolic equation y = x² + 8x + 12 will be at (-4, -4).

The graph is given below.

More about the equation of the parabola link is given below.

https://brainly.com/question/20333425

#SPJ2

Answer:

(x-7)^2 + (y+3)^2 = 49

Step-by-step explanation:

The general equation for a circle is given by

(x-h)^2 + (y-k)^2 = r^2

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

(x-7)^2 + (y- -3)^2 = 7^2

(x-7)^2 + (y+3)^2 = 7^2

(x-7)^2 + (y+3)^2 = 49

Answer;

(x-7)^2 + (y+3)^2 = 49

Step-by-step explanation:

The general equation for a circle is given by

(x-h)^2 + (y-k)^2 = r^2

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

(x-7)^2 + (y- -3)^2 = 7^2

(x-7)^2 + (y+3)^2 = 7^2

(x-7)^2 + (y+3)^2 = 49

Answer:

50, 5

Step-by-step explanation:

X=number 1

x-45=number 2

x+(x-45)=55

2x=100

x=50 number 1

x-45 is number 2

50-45=5 number 2

==============================================

Work Shown:

L = theta*r

12 = theta*4

12/4 = theta

3 = theta

theta = 3 radians, choice C is the answer.

--------

Side note: The formula L = theta*r only works if theta is in radians.

If theta is in degrees, then use L = (theta/360)*2pi*r. So you can see that radian mode is much easier in this case.

Answer:

13/15

Step-by-step explanation:

Answer:

Step-by-step explanation:

HOPE IT HELPS MUCH

Answer:

61.2

Step-by-step explanation:

base=6

height=10

Area of parellelogram=base x height

=6x 10.2

=61.2 sq.ft

MARK ME BRAINLIEST THANKS MY ANSWER PLEASE