Find the area of the shaded regions. Give your answer as a completely simplified exact value in terms of n (no aproximations).

Answer:

x=4

Step-by-step explanation:

21x+6=90(alternate angles)

21x=90-6

x=94/21

Therefore, x=4

Answer:

x=4

Step-by-step explanation:

21x+6=90

-6. -6

21x=84

/21. /21

x=4

Answer:

3.88 : 3.25   ≈   13 : 11

Step-by-step explanation:

I don't know what are you in, geometry or algebra? I'll post my way of solution. It may need some calculator calculation that I can't give detail of steps here. I just like to explore something, wish it help.

suppose D is the origin, DA = 4 and AB = 5

A (0,4)    B(5,4)    C(5,0)    D(0,0)

AE/AC = 3/4   (i.e. AE/EC = 3/1)

parallel of EF with DC and EG with BC

CF/BC = CE/AC = 1/4

CF = BC x 1/4 = 4 x 1/4 = 1

DG/DC = AE/AC = 3/4  

DG = DC x 1/4 = 5 x 3/4 = 15/4

coordinator of E (3.75 , 1)

length of DE = √3.75² + 1² = 3.88

length of BE = √1.25² + 3² = 3.25

DE : BE = 3.88 : 3.25 ≈ 13: 11     (3.88/13 ≈ 0.29,  3.25/11 ≈ 0.29)

Answer:

do we need to explain in words or numbers

Step-by-step explanation:

Answer:

Inequality equation:

0.03125x + 0.015625y ≤ 50 pounds

Step-by-step explanation:

We convert the ounces to pounds

1 ounce = 0.0625 pound

For the gold coin = 0.5 ounce

1 ounce = 0.0625 pounds

0.5 ounce = x

x = 0.5 × 0.00625 pounds

x = 0.03125 pounds

For the Silver coin = 0.25 ounce

1 ounce = 0.0625 pounds

0.25 ounce = x

x = 0.25 × 0.00625 pounds

x = 0.015625 pounds

The basket holds no more than 50 pounds of material.

Let the number of gold coins = x

The number of silver coins = y

Hence: our inequality equation:

0.03125x + 0.015625y ≤ 50 pounds

9514 1404 393

Answer:

  x = 7 1/3

Step-by-step explanation:

The smaller triangle is 6/9 = 2/3 the size of the larger triangle, so the left side is ...

  (x -2) = (2/3)(8)

  3(x -2) = 16 . . . . . multiply by 3 to clear fractions

  3x -6 = 16 . . . . . . eliminate parentheses

  3x = 22 . . . . . . . . add 6; next divide by 3*

  x = 22/3 = 7 1/3 . . . . . feet

_____

* Note that we multiplied by 3, then divided by 3. If you're comfortable working with fractions and/or mixed numbers, these steps are unnecessary. The answer is simply x = 2 + 16/3 = 22/3.

Indicating the solution to an inequality such as \displaystyle x\ge 4x≥4 can be achieved in several ways.

We can use a number line as shown in Figure 2. The blue ray begins at \displaystyle x=4x=4 and, as indicated by the arrowhead, continues to infinity, which illustrates that the solution set includes all real numbers greater than or equal to 4.

A number line starting at zero with the last tick mark being labeled 11. There is a dot at the number 4 and an arrow extends toward the right.

Figure 2

We can use set-builder notation: \displaystyle \{x|x\ge 4\}{x∣x≥4}, which translates to “all real numbers x such that x is greater than or equal to 4.” Notice that braces are used to indicate a set.

The third method is interval notation, in which solution sets are indicated with parentheses or brackets. The solutions to \displaystyle x\ge 4x≥4 are represented as \displaystyle \left[4,\infty \right)[4,∞). This is perhaps the most useful method, as it applies to concepts studied later in this course and to other higher-level math courses.

The main concept to remember is that parentheses represent solutions greater or less than the number, and brackets represent solutions that are greater than or equal to or less than or equal to the number. Use parentheses to represent infinity or negative infinity, since positive and negative infinity are not numbers in the usual sense of the word and, therefore, cannot be “equaled.” A few examples of an interval, or a set of numbers in which a solution falls, are \displaystyle \left[-2,6\right)[−2,6), or all numbers between \displaystyle -2−2 and \displaystyle 66, including \displaystyle -2−2, but not including \displaystyle 66; \displaystyle \left(-1,0\right)(−1,0), all real numbers between, but not including \displaystyle -1−1 and \displaystyle 00; and \displaystyle \left(-\infty ,1\right](−∞,1], all real numbers less than and including \displaystyle 11. The table below outlines the possibilities.

I hope I will help

Answer:

y÷8

Step-by-step explanation:

The quotient is the result of division between two numbers.

SOOO its y÷8 because a quotient is a division problem and y and 8 are the variables in the equation!

Answer:

∠ A = 50°

Step-by-step explanation:

In a parallelogram, consecutive angles are supplementary, sum to 180°

∠ A + 130° = 180° ( subtract 130° from both sides )

∠ A = 50°

Answer:

I think d sorry if I get it wrong

Answer:

60 %

Step-by-step explanation:

multiply .90 * 150

Answer:

60%

Step-by-step explanation:

hope this helps <3

Answer:

x = 80, y = 100

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

Here n = 7 , then

sum = 180° × 5 = 900°

Sum the interior angles and equate to 900

y + 135 + 140 + 150 + 120 + 135 + 120 = 900, that is

y + 800 = 900 ( subtract 800 from both sides )

y = 100

x and y are adjacent angles and are supplementary, that is sum to 180°

x + y = 180

x + 100 = 180 ( subtract 100 from both sides )

x = 80

Thus x = 80 and y = 100

9514 1404 393

Answer:

  x = 0

Step-by-step explanation:

You can eliminate parentheses and subtract 50.

  5(2x +10) = 50

  10x +50 = 50 . . . . use the distributive property

  10x = 0 . . . . . . . . . subtract 50 from both sides

  x = 0 . . . . . . . . . . . divide by 10

__

Check

  5(2·0 +10) = 50

  5(10) = 50 . . . . true

Answer:

You done it right

Step-by-step explanation:

Answer:

(f*g)(x) = (x +3)(2x² -4) =2(x+3)(x²-4)  or = 2x³ + 6x² - 4x -12

Step-by-step explanation:

F(x) = x +3

G(x) = 2x^2 -4

(f*g)(x) = f(x) * g(x)

(f*g)(x) = (x +3)(2x² -4) =2(x+3)(x²-4)  or = 2x³ + 6x² - 4x -12

The function (f x g)(x) is equal to 2x³ + 6x² - 4x -12.

A function in mathematics set up a relationship between the dependent variable and independent variable. on changing the value of the independent variable the value of the dependent variable also changes.

The function (f x g)(x) is calculated as,

F(x)  = x +3

G(x) = 2x² -4

(f x g)(x) = f(x)  x  g(x)

(f x g)(x) = (x +3)(2x² -4) =2(x+3)(x²-4)  

(f x g)(x)  = 2x³ + 6x² - 4x -12

Therefore, the function (f x g)(x) is equal to 2x³ + 6x² - 4x -12.

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Answer:

4

0

−

1

0

0

5

+

2

5

Step-by-step explanation:

Brainliest?

Answer:

hey long time no see!

Answer:

The value of (f о h) (2) is 2

Step-by-step explanation:

Let us solve the question

In the composite function (f о h) (x) we substitute x in f(x) by h(x)

∵ f(x) = 2x² - 9x + 2

∵ h(x) = x² - 4

∵ We need to find (f о h) (2)

→ That means use x = 2

∴ x = 2

We will find at first h(2), then substitute x in f by the answer of h(2)

∵ x = 2

∵ h(2) = (2)² - 4

∴ h(2) = 4 - 4

∴ h(2) = 0

Now substitute x in f by 0

∵ x = 0

∵ f(0) = 2(0)² - 9(0) + 2

∴ f(0) = 0 - 0 + 2

∴ f(0) = 2

∴ (f о h) (2) = 2

Answer:

Length of rectangle = 64 inches

Width of rectangle = 32 inches

Step-by-step explanation:

Perimeter of rectangle = 192 in

Length = x

Width = [tex]\frac{1}{2}x[/tex]

We need to find the length and width.

The formula used is: [tex]Perimeter\:of\:rectangle=2(Length+Width)[/tex]

Putting values and finding value of x

[tex]Perimeter\:of\:rectangle=2(Length+Width)\\192=2(x+\frac{x}{2} )\\192=2(\frac{2x+x}{2} )\\192=2(\frac{3x}{2} )\\192=3x\\x=\frac{192}{3}\\x=64[/tex]

So, we get x = 64

The length of rectangle x = 64

The width of rectangle = [tex]\frac{1}{2}x[/tex] = [tex]\frac{64}{2} = 32[/tex]

So, Length of rectangle = 64 inches

Width of rectangle = 32 inches

Answer:

Length of rectangle = 64 inches

Width of rectangle = 32 inches

Step-by-step explanation:

Answer:

661 is for the first 308 for second 849 for last

Step-by-step explanation:

Answer:

R=-3

Step-by-step explanation:

-11=r+4+4r

-11=5r+4

-4 both sides

-15=5r

Divide 5 both sides

r=-3

Answer:

r=-3

Step-by-step explanation:

Answer:

[tex]x=\frac{2}{3}, -4[/tex]

Step-by-step explanation:

hope this helps!

Answer:

Relativistic energy is conserved as long as we define it to include the possibility of mass changing to energy. Total Energy is defined as: E = γmc2, where γ=1√1−v2c2 γ = 1 1 − v 2 c 2 . Rest energy is E0 = mc2, meaning that mass is a form of energy. If energy is stored in an object, its mass increases.

Step-by-step explanation:

Answer:

Energy can either be potential energy or kinetic energy, but mechanical energy

Mechanical energy = Potential energy + Kinetic energy

[tex]potential \: energy = mgh \\ kinetic \: energy = \frac{1}{2}m {v}^{2} \\ mechanical \: energy = mgh + \frac{1}{2} m {v}^{2} \\ = \frac{1}{2} m(2gh + m {v}^{2} )[/tex]

Then for Eistein mass energy relation

E = mc²

c is speed of light

Answer:

14 × (19 + 6)

hope it helps

The expression represents the total number of cans of beans Mr. Jenkins is, (19+6)×14, So Option B is correct.

An expression is a sentence with at least two numbers or variables having mathematical operation. Math operations can be addition, subtraction, multiplication, division.

For example, 2x+3

Given that,

Mr. Jenkins has 19 cases of beans

He also has 6 cases of beans in the stock room

There are 14 cans of beans in each case

Expression for total number of beans = ?

Total number of beans  = Total number of cases ×beans in each case

Total number of beans = (beans in grocery store+beans in stock room)×14

Total number of beans = (19 +6) × 14

Hence, the expression is  (19 +6) × 14

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Answer:

11700 mm²

Step-by-step explanation:

A rectangle is a quadrilateral with two equal, opposite and parallel sides. Each of the angles in a rectangle is 90°.

The horizontal distance of the rectangle = r + r + r + r = 4r

The vertical distance = r + h + r = 2r + h

Where h is the distance between the midpoint of the 2 up circles and the midpoint of the down circle.

Using Pythagoras:

 (2r)² = h² + r²

h² + r² = 4r²

h² = 3r²

h = √3r²

h = r√3

Vertical distance = 2r + h = 2r + r√3

Area of rectangle = vertical distance * horizontal distance

Area = 4r * (2r + r√3) = 8r² + 4r²√3 = 4r²(2 + √3)

Substituting:

Area = 4r²(2 + √3) = 4(28²)(2 + √3) = 11703.711 mm²

Area = 11700 mm² to 3 s.f

9514 1404 393

Answer:

  (b)  sin⁻¹

Step-by-step explanation:

The relevant trig function relating angles to sides is ...

  Sin = Opposite/Hypotenuse

Here, we have ...

  sin(A) = 4/12 = 1/3

  A = arcsin(1/30 = sin⁻¹(1/3)

The inverse sine function can be used to find the angle.