A regular polygon has 15 sides. Which is a possible angle of rotational symmetry for the figure? 12° 45° 72° 90°

9514 1404 393

Answer:

Step-by-step explanation:

The partial products are apparently derived by multiplying parts of each value on either side of the decimal point:

  1.5 × 3.50 = (1 + 0.5)(3 + 0.50) = 1×3 + 0.5×3 +1×0.50 +0.5×0.50

  = 3 + 1.5 + 0.50 + 0.25 . . . . . partial products

Their sum is ...

  3 + 1.5 + 0.50 + 0.25 = 5.25

Zoe spent $5.25 on apples.

Answer:

5i[tex]\sqrt{7}[/tex]

Step-by-step explanation:

Using the rule of radicals

[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]

i² = - 1 ⇒ i = [tex]\sqrt{-1}[/tex]

Given

[tex]\sqrt{-175}[/tex]

= [tex]\sqrt{25(7)(-1)}[/tex]

= [tex]\sqrt{25}[/tex] × [tex]\sqrt{7}[/tex] × [tex]\sqrt{-1}[/tex]

= 5i[tex]\sqrt{7}[/tex]

Answer:

[tex]5i\sqrt{7}[/tex]

Step-by-step explanation:

In order to solve this question we need to know how to multiply roots. You will need to understand that when we multiply [tex]\sqrt{a}[/tex] by [tex]\sqrt{b}[/tex], the following is true.

[tex](\sqrt{a})(\sqrt{b}) = \sqrt{ab}[/tex]                       (1)

From the question it self we know that [tex]\sqrt{ab}[/tex] is equal to [tex]\sqrt{-175}[/tex]. We also know that [tex]i^{2} = -1[/tex] or in other words [tex]i = \sqrt{-1}[/tex].

Now we will need to factors [tex]\sqrt{-175}[/tex] so that at the end we will end up representing [tex]\sqrt{-175}[/tex] as a product of [tex]\sqrt{-1}[/tex] and some other number. In order to determine the unknown number we will just have to divide [tex]\sqrt{-175}[/tex] by [tex]\sqrt{-1}[/tex]. From the equation (1) that I mention at the start we can figure out that......

[tex]\sqrt{a} = \frac{\sqrt{-175} }{\sqrt{-1} } = \sqrt{175}[/tex]   (in our case [tex]\sqrt{a}[/tex] is the unknown number we are trying to find)

Now we can rewrite [tex]\sqrt{-175}[/tex] as the following.....

[tex]\sqrt{-175} = (\sqrt{175})(\sqrt{-1})[/tex]

From here we substitute [tex]\sqrt{-1}[/tex] with [tex]i[/tex] and simplify [tex]\sqrt{175}[/tex]. In order to simplify [tex]\sqrt{175}[/tex] we will have to factor [tex]\sqrt{175}[/tex] in a way that we will see [tex]\sqrt{175}[/tex] as a multiple of a perfect square root. An so we get the following

[tex]\sqrt{-175} = (\sqrt{175})(i) = (\sqrt{7})(\sqrt{25} )(i) = (\sqrt{7})(5)(i) = 5i\sqrt{7}[/tex]

Answer:

D 1/6

Step-by-step explanation:

There are 6 total marbles and only one of them is red so

1=red

6=total

1/6

PLZ MARK ME BRAINLIEST

Answer:

x = 1 and y = 6

Step-by-step explanation:

Add these equations

-2x+y=4

2x+y=8

2y=12

    2

y = 6

Plug in 12 for y.

-2x+(6) = 4

     -6    -6

-2x = -2

     -2

x = 1

Answer:

No Soultion

Step-by-step explanation:

Answer:

no solution

Step-by-step explanation:

distribute

3y + 6 = 5 + 3y

subtract 3y from both sides

6 = 5

no solution since 6 can never equal 5

Answer:

Rational

Step-by-step explanation:

A rational number is a number with two or fewer integers.

-51/5 = -5.2

I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!

Answer:

- 51/5 is a rational number as it can be represented in p/q form where both p and q are integers and q is not equal to zero

Step-by-step explanation

Answer: the correct answer is to teacha don’t like you assigning this bullish!+ when will you ever in your life use this feel bad for y’all I dropped out

Step-by-step explanation:

Answer:

$1.56 d per pound

Step-by-step explanation:

18.72/12= 1.56

Answer:

Step-by-step explanation:

From the figure attached,

1). Sin(D) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

               = [tex]\frac{EF}{DF}[/tex]

               = [tex]\frac{24}{26}[/tex]

               = [tex]\frac{12}{13}[/tex]

2). Cos(D) = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]

                = [tex]\frac{ED}{DF}[/tex]

                = [tex]\frac{10}{26}[/tex]

                = [tex]\frac{5}{13}[/tex]

3). tan(D) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

               = [tex]\frac{EF}{DE}[/tex]

               = [tex]\frac{24}{10}[/tex]

               = [tex]\frac{12}{5}[/tex]

4). sin(F) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

              = [tex]\frac{DE}{DF}[/tex]

              = [tex]\frac{10}{26}[/tex]

              = [tex]\frac{5}{13}[/tex]

5). cos(F) = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]

               = [tex]\frac{EF}{DF}[/tex]

               = [tex]\frac{24}{26}[/tex]

               = [tex]\frac{12}{13}[/tex]

6). tan(F) = [tex]\frac{\text{Adjacent side}}{\text{Adjacent side}}[/tex]

               = [tex]\frac{DE}{EF}[/tex]

               = [tex]\frac{10}{24}[/tex]

               = [tex]\frac{5}{12}[/tex]

Answer: 5/8 of the project is done

Answer:

x ≈ 11.5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Trigonometry

Step-by-step explanation:

Step 1: Identify Variables

Angle = 35°

Opposite Leg = x

Hypotenuse = 20

Step 2: Solve for x

I'm not sure exactly what you're trying to ask, but this statement is not true.

to solve a function, you would input a number ,and in this example 8, and replace the x's with 8.

f(8)=4(8)+7

f(8)=32+7

f(8)=39, so when you input 8, your output is 39, not 11.

the function is linear.

Answer:

0.619

Step-by-step explanation:

Answer:

0.619

Step-by-step explanation:

Fist divide 13/21. I used a claulator since thats allows in my class. When you do that you get 0.619047619. to round we look at the thrid and fourth decimal places, which are 9 and 0. Since zero is less than nine we round down to get the answer.

Answer:

what are you talking about???

Step-by-step explanation:

brainliest and chill bro

Answer:

— What is (g × h)(x)?

The answer is 3x²+x-2

— What is g(k(x))?

The answer is 12x - 2 or 2(6x-1)

— What is k(g(0))

The answer is -8

Explanation:

Given these functions —

[tex]f(x) = 5 {x}^{2} - 4x + 1 \\ g(x) = 3x - 2 \\ h(x) = x + 1 \\ k(x) = 4x[/tex]

Find (g × h)(x)

[tex](g \times h)(x) = g(x) \times h(x)[/tex]

Substitute g(x) = 3x - 2 and h(x) = x + 1

[tex](3x - 2) \times (x + 1) \\ (3x - 2)(x + 1)[/tex]

Multiply the polynomial.

[tex]3 {x}^{2} + 3x - 2x - 2[/tex]

Subtract - 2x out of 3x —

[tex]3 {x}^{2} + x - 2[/tex]

Thus, the answer is —

[tex](g \times h)(x) = 3 {x}^{2} + x - 2[/tex]

Find (g(k(x))

Substitute k(x) = 4x in g(x).

[tex]g(x) = 3x - 2 \\ k(x) = 4x[/tex]

[tex]g(k(x)) = g(4x)[/tex]

[tex]g(4x) = 3(4x) - 2[/tex]

Distribute 3 in 4x —

[tex]g(4x) = 12x - 2[/tex]

Thus the answer is —

[tex]g(k(x)) = 12x - 2[/tex]

Alternative Solution

[tex]g(k(x)) = 2(6x - 1)[/tex]

Find k(g(0))

Given two functions — k(x) and g(x)

[tex]k(x) = 4x \\ g(x) = 3x - 2[/tex]

Evaluate the value of g(0) as we substitute x = 0 in g(x)

[tex]g(0 ) = 3(0) - 2 \\ g(0) = 0 - 2 \\ g(0) = - 2[/tex]

Since we need to find k(g(0)), our currently input is g(0).

From k(x) and g(0) —

[tex]k(x) = 4x \\ g(0) = - 2[/tex]

Substitute g(0) = -2 in k(x)

[tex]k(g(0)) = 4(g(0)) \\ k( - 2) = 4( - 2) \\ k( - 2) = - 8[/tex]

Thus, the answer is —

[tex]k(g(0)) = - 8[/tex]

Answer:

40

Step-by-step explanation:

i would say 40? because it will be a constant for how many times you do X. for example if it's Y = 40 (2) it would equal 80 because no matter what number you put in X 40 will have to be multiplied

7: Answer: [tex](x,y)=(\frac{5}{4},\frac{3}{2} )[/tex]

Substitute the value of Y:

[tex]-2x-3(10x-11)=-7[/tex]

Solve for X:

[tex]-2x-3(10x-11)=-7[/tex]

[tex]x=\frac{5}{4}[/tex]

Substitute the value of X:

[tex]x=\frac{5}{4}[/tex]

[tex]y=10*\frac{5}{4}-11[/tex]

Solve for Y:

[tex]y=10*\frac{5}{4}-11[/tex]

[tex]y=\frac{3}{2}[/tex]

Solution:

[tex](x,y)=(\frac{5}{4},\frac{3}{2} )[/tex]

8: Answer: [tex](x,y)=(3,-2)[/tex]

Substitute the value of Y:

[tex]4x-3*(-2)=18[/tex]

Solve for X:

[tex]4x-3*(-2)=18[/tex]

[tex]x=3[/tex]

Solution:

[tex](x,y)=(3,-2)[/tex]

9: Answer [tex](x,y)=(0,-2)[/tex]

Substitute the value of Y:

[tex]-3x+6(-2+5x)=-12[/tex]

Solve for X:

[tex]-3x+6(-2+5x)=-12[/tex]

[tex]x=0[/tex]

Substitute the value of X:

[tex]x=0[/tex]

[tex]y=-2+5*0[/tex]

Solve for Y:

[tex]y=-2+5*0[/tex]

[tex]y=-2[/tex]

Solution:

[tex](x,y)=(0,-2)[/tex]

10: Answer [tex](x,y)=(-3,-6)[/tex]

Substitute the value of Y:

[tex]-5x-(6+4x)=21[/tex]

Solve for X:

[tex]-5x-(6+4x)=21[/tex]

[tex]x=-3[/tex]

Substitute the value of X:

[tex]x=-3[/tex]

[tex]y=6+4x(-3)[/tex]

Solve for Y:

[tex]y=6+4x(-3)[/tex]

[tex]y=-6[/tex]

Solution:

[tex](x,y)=(-3,-6)[/tex]

Please mark me brainliest if this helped you :)

Answer:

40B +30M ≤ 300

200B +80M ≤ 1200

Step-by-step explanation:

The inequality functions are as follows:

For 40 cartridges per book and 30 cartridges per magazine and at most 300 cartridges are used

So the function would be

40B +30M ≤ 300

Now the another would be

There are 200 pages for printing a book and 80 pages are required for printing a magazine also she used at most 1,200 pages

So, the function would be

200B +80M ≤ 1200

Answer:

The median is 120.

The lower quartile is 112.

The upper quartile is 140.

The interquartile range is 28.

Step-by-step explanation:

its hand proven

Answer:

X = wrong.

^ = correct

Step-by-step explanation:

^         The median is 120.

X        The median is 109.

X        There is an outlier.

X        The lower quartile is 118.

^         The lower quartile is 112.

^         The upper quartile is 140.

X        The upper quartile is 141.

^         The interquartile range is 28.

Hope this helps!!!

Answer:

Your slope would be -5/3

Step-by-step explanation:

To find the slope from two points, you would use the formula y2-y1/x2-x1

In this case, the equation would look like -12-8/3-(-9)

-12 - 8 = -20

3 - (-9) = 12

-20/12 = -5/3

Answer:

the answer is 19

Step-by-step explanation:

8+6=14

14+5=19

Answer:

0.315 per lb

Step-by-step explanation:

Answer:

39.44

Step-by-step explanation:

Answer:

39.4418605

Step-by-step explanation:

Answer:

multiply all of it

Step-by-step explanation:

11.3 x 6 x 8 x 8

10.3 x 13 x 9 x 5

=

26145849.6

Reduce

Answer:

y=-1/4x+1

Step-by-step explanation:

The perpendicular equations slope is the negative reciprocal of the other lines, so if I had 2 as a slope, the perpendicular line's slope would be -1/2, I think. Then you just use the found slope and the given point to solve for b, then use the b value you get for the final equation.

Answer:

y = 2

Step-by-step explanation:

Since the line is parallel to the x-axis,

the gradient, m = 0

From the point, we know that

x = 5

y = 2

So y = 2 is the line that parallel to x-axis

Answer:

x ≥ -4 or x ≥ [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

9 ≤ | 4x + 7 |

4x + 7 ≥ 9

4x ≥ 2

x ≥ [tex]\frac{1}{2}[/tex]

4x + 7 ≥ -9

4x ≥ -16

x ≥ -4

Answer:

AE = 30

GD = 5

GF = 10

Step-by-step explanation:

Centroid of medians divide median in the ratio 2 : 1

Therefore,

AG : GE : 2 : 1

Let AG = 2x & GE = x

Since, AG = 20....(given)

Therefore, 2x = 20

x = 20/2

x = 10

GE = x = 10

AE = AG + GE = 20 + 10 = 30

CG : GD : 2 : 1

Let CG = 2x & GD = x

Since, CG = 10....(given)

Therefore, 2x = 10

x = 10/2

x = 5

Since, GD = x

Therefore, GD = 5

BF = 30

2x + x = 30

3x = 30

x = 30/3

x = 10

GF = 10