Calcula la fracción generatriz de 0,245 y da como respuesta su numerador

the terminal side of an angle in standard position rotated one-sixth of a revolution counterclockwise from the positive x-axis.

emmasim [6.3K]

Answer:

60 degrees and pi/3 radians

Step-by-step explanation:

A full revolution is 360° or 2pi

… so multiply by 1/6 to get 60° and pi/3 radians

5 0

4 years ago

A blueprint of a bedroom has a scale of 1 4 inch is equivalent to 1 foot. If the closet measures 1 2 inch by 3 4 inch on the blu

Murljashka [212]

Answer:

The actual dimensions of the closet are 2 ft by 3 ft.

Step-by-step explanation:

According to the scale, 1/4 inch <--> 1 foot

The closet dimensions on the scale are (1/2 inch, 3/4) or (2/4 inch, 3/4). Let the real closet dimensions be (x,y).

In this case, the rule of three can be applied to find the missing term of a proportion:

$x*\frac{1}{4} = 1*\frac{2}{4}\\x=2\\y*\frac{1}{4} = 1*\frac{3}{4}\\y=3$

The actual dimensions of the closet are 2 ft by 3 ft.

3 0

4 years ago

Write a formal negation for each of the following statements: a.

AleksAgata [21]

Answer:

See below

Step-by-step explanation:

Let P(x) be a predicate over the variable x. Rules from logic tell us that the negation of ∀xP(x) is ∃x(¬P(x)). That is, the negation operator ¬ satisfies ¬(∀xP(x))≡∃x(¬P(x)). Similarly, ¬(∃xP(x))≡∀x(¬P(x)).

Apply these rules to each statement to obtain:

a) ∃ a fish x, x does not have gills.

b) ∃ a computer c, c does not have a CPU.

c) ∀ movie m, m is not over 6 hours long. ⇔ ∀ movie m, m is under 6 hours long.

d) ∀ band b, b has not won at least 10 Grammy awards. ⇔ ∀ band b, b has won less than 9 Grammy awards.

5 0

4 years ago

Simplify the sum. d^2-7d+12/d^2-d-6 + d^2+5d+6/d^2-2d-15

Law Incorporation [45]

Answer:

The sum is $\frac{2d^2-5d+24}{d^2-3d-10}$

Step-by-step explanation:

The given expression is

$\frac{d^2-7d+12}{d^2-d-6}+\frac{d^2+5d+6}{d^2-2d-15}$

These are all quadratic trinomials, so we split each of the middle terms to obtain,

$\frac{d^2-4d-3d+12}{d^2-3d+2d-6}+\frac{d^2+2d+3d+6}{d^2-5d+3d-15}$

We factor to obtain,

$\frac{d(d-4)-3(d-4)}{d(d-3)+2(d-3)}+\frac{d(d+2)+3(d+2)}{d(d-5)+3(d-5)}$

We factor further to obtain,

$\frac{(d-4)(d-3)}{(d-3)(d+2)}+\frac{(d+2)(d+3)}{(d-5)(d+3)}$

We cancel out the common factors to get,

$\frac{(d-4)}{(d+2)}+\frac{(d+2)}{(d-5)}$

The least common denominator is $(d+2)(d-5)$ .

We collect LCD to get

$\frac{(d-4)(d-5)+(d+2)(d+2)}{(d+2)(d-5)}$

We now expand to get,

$\frac{d^2-5d-4d+20+d^2+2d+2d+4}{d^2-5d+2d-10}$

We simplify to get,

$\frac{d^2-9d+20+d^2+4d+4}{d^2-3d-10}$

We simplify further to get,

$\frac{2d^2-5d+24}{d^2-3d-10}$

8 0

4 years ago

FInd the mean, median, mode for the following data:

Anettt [7]

Answer:

Mean : 16

Median: 15.5

Mode: 16

Step-by-step explanation:

Given/To Find:

Find the mean, median, mode for the following data:

10, 10, 12, 13, 13, 14, 15, 16, 16, 16, 18, 22, 23, 26

Solve:

Mean: Average

Formula: Adding all number in data then divide by the total number in data.

10 + 10 + 12 + 13 + 13 + 14 + 15 + 16 + 16 + 16 + 18 + 22 + 23 + 26 = 224

224/14 = 16

Median: Middle Number

Formula: Number in the middle

10, 10, 12, 13, 13, 14, 15, 16, 16, 16, 18, 22, 23, 26

10, 10, 12, 13, 13, 14, 15, 16, 16, 16, 18, 22, 23, 26

10, 10, 12, 13, 13, 14, 15, 16, 16, 16, 18, 22, 23, 26

10, 10, 12, 13, 13, 14, 15, 16, 16, 16, 18, 22, 23, 26

10, 10, 12, 13, 13, 14, 15, 16, 16, 16, 18, 22, 23, 26

10, 10, 12, 13, 13, 14, 15, 16, 16, 16, 18, 22, 23, 26

15 + 16 = 31

31/2 = 15.5

Mode: Most often number: 16

Kavinsky

7 0

2 years ago

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