A regular computer screen has a area of A square inches. The width of the computer screen is 7 inches. Which equation represents x,length of the computer screen in inches.

Area of shaded region = area of circle - area of segment

(where "segment" refers to the unshaded region)

Area of circle = π (11.1 m)² ≈ 387.08 m²

The area of the segment is equal to the area of the sector that contains it, less the area of an isosceles triangle:

Area of segment = area of sector - area of triangle

130° is 13/36 of a full revolution of 360°.  This is to say, the area of the sector with the central angle of 130° has a total area equal to 13/36 of the total area of the circle, so

Area of sector = 13/36 π (11.1 m)² ≈ 139.78 m²

Use the law of cosines to find the length of the chord (the unknown side of the triangle, call it x) :

x ² = (11.1 m)² + (11.1 m)² - 2 (11.1 m)² cos(130°)

x ² ≈ 404.82 m²

x = 20.12 m

Call this length the base of the triangle. Use a trigonometric relation to determine the corresponding altitude/height, call it y. With a vertex angle of 130°, the two congruent base angles of the triangle each measure (180° - 130°)/2 = 25°, so

sin(25°) = y / (11.1 m)

y = (11.1 m) sin(25°)

y ≈ 4.69 m

Then

Area of triangle = xy/2 ≈ 1/2 (20.12 m) (4.69 m) ≈ 47.19 m²

so that

Area of segment ≈ 139.78 m² - 47.19 m² ≈ 92.59 m²

Finally,

Area of shaded region ≈ 387.08 m² - 92.59 m² ≈ 294.49 m²

Answer:

Step-by-step explanation:

30% of 90 = 27

To explain this in a simple way we can check the work

10% of 90 = 9

9 x 3 = 27

Answer:

a. Is the answer..

Let's solve for y.

y=−x+3

Answer:

y = −x + 3 = y = −x + 3

Hence f(x) = -x + 3 is equivalent to y = −x + 3

Hope it helps

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Thank you

Answer: 240

Step-by-step explanation:

Suppose in a math class of 22 students, 14 are boys and 8 are girls. ... for a girl you have a 8 out of 22 students chance....for an A you have an additional ... 8/22+4/22 = 12/22 = 6/11. for a boy there is a 14 out of 22 chance of being a boy and an ... 14/22 + 6/22 = 20/22= 10/11 ... How to display latex properly

Answer:

The answer would be 28

Step-by-step explanation:

You would plug 8 in where k is and 2 where j is

so (8)3 - 4(2) +12

answer is 28

Answer: Scale of 2:1

Step-by-step explanation:

All the angles are the same. So its the same polygon just bigger.

Line DA multiplied by a factor of 2 will make is as long as Line ZW.

Line AB multiplied by 2 will also make it equal to Line WX

From that we can assume that Lines XY and YZ are equal to Lines BC and CD

Answer: Jenny would have to work 5 hours to get $85

Step-by-step explanation:

Jenny makes $17 an hour (221/13 = 17) and 85/17 is 5

Answer:

option 2

4/7

Step-by-step explanation:

Multiply 4/3x3/7 = 12/21

now simplify  12/21 = 4/7

Answer: 6 2/3 pounds.

Step-by-step explanation:

Answer:

6 2/3 pounds

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

4/2 = 2/1 = 2

And 2 ≠ 1

Hence, 4/2 ≠ 1

Hope it helps :)

Answer:

no .

Step-by-step explanation:

4/2 is equivalent to 2 , if it were 2/2 then it would be yes .

Answer:

x = 8

Step-by-step explanation:

Answer:

equal, tell me if I'm wrong

Answer:

Step-by-step explanation:

Answer: need a pic or more info

Step-by-step explanation:

Answer:

you are right

Step-by-step explanation:

Use the law of law of cos

c^2=a^2+b^2﹣2abcos√angle

(2√13)^2=52=4+36-24cos(a)

cos(a) = -12/24 =  -1/2

a = 120 degrees

so yes, you are right

Answer:

Step-by-step explanation:

vertex and focus are horizontally aligned, so parabola is horizontal.

focal length p = distance between focus and vertex = 0.25

focus lies to the left of vertex, so the parabola opens to the left.

x = a(y-k)² + h,

vertex (h,k)

a = -1/(4p)

vertex (-6,5)

h = -6

k = 5

p = 0.25

a = -1/(4·0.25) = -1

x = -(y-5)² - 6

The value of the expression 3 + 5³ × 5 + 1 will be 629.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

Making anything easier to accomplish or comprehend, as well as making it less difficult, is the definition of simplification.

According to the PEMDAS rule, the operation should be performed in the order of the computation or the parentheses, whichever comes first.

The sum of three and five to the third power times five plus one will be written mathematically and will be

⇒ 3 + 5³ × 5 + 1

Simplify the expression, then the value of the expression will be

⇒ 3 + 125 × 5 + 1

⇒ 3 + 625 + 1

⇒ 629

The value of the expression 3 + 5³ × 5 + 1 will be 629.

More about the Algebra link is given below.

https://brainly.com/question/953809

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Answer:

8,9,10

Step-by-step explanation:

Answer:

The simplest form of 84/96 is 7/8.

Step-by-step explanation:

Thus, 7/8 is the simplified fraction for 84/96 by using the GCD or HCF method. Thus, 7/8 is the simplified fraction for 84/96 by using the prime factorization method.

Answer:

Step-by-step explanation:

increase ≤ 55-43.5

increase ≤ 11.5

Elanor can increase her speed by 11.5 miles per hour.

Answer:

Both of them are NOT equivalent.

Step-by-step explanation:

Use the distributive property to see if 5(x - 1) and 5x - 1 were equivalent.

5(x - 1)

= 5x - 5

This tells us 5(x - 1) is not equivalent to 5x - 1.

Answer:

The inverse Laplace transform of [tex]F(s) = \frac{3\cdot s + 9}{s^{2}+9}[/tex] is [tex]f(t) = 3\cdot \cos \omega t + 3\cdot \sin \omega t[/tex].

Step-by-step explanation:

In this case, we should use the following direct and inverse Laplace Transforms:

[tex]F(s) = G(s) + H(s)[/tex] (1)

[tex]\mathcal{L}^{-1} \{\frac{s}{s^{2}+\omega^{2}} \} = \cos \omega t[/tex] (2)

[tex]\mathcal{L}^{-1}\{\frac{\omega}{s^{2}+\omega^{2}} \} = \sin \omega t[/tex] (3)

[tex]\mathcal\{L\}^{-1}\{c\cdot F(s)\} = c\cdot \mathcal\{L\}^{-1}\{F(s)\}[/tex] (4)

Then, we apply all these trasforms:

[tex]F(s) = \frac{3\cdot s + 9}{s^{2}+9}[/tex]

[tex]F(s) = 3\cdot \left(\frac{s}{s^{2}+9} \right)+3\cdot \left(\frac{3}{s^{2}+9} \right)[/tex]

[tex]f(t) = 3\cdot \cos \omega t + 3\cdot \sin \omega t[/tex]

The inverse Laplace transform of [tex]F(s) = \frac{3\cdot s + 9}{s^{2}+9}[/tex] is [tex]f(t) = 3\cdot \cos \omega t + 3\cdot \sin \omega t[/tex].

Answer:

Cos(a - b) = 0.959

Step-by-step explanation:

We know that:

Sin(a) = 4/5

Such that a is on the first quadrant (between 0° and 90°)

then:

Sin(a) = 4/5

Asin(sin(a)) = Asin(4/5)

a = Asin(4/5) = 53.13°

And:

Cos(b) = 2/5

Then:

Acos(Cos(b)) = Acos(2/5)

b = Acos(2/5) = 36.67°

Then:

Cos(a - b)

where:

a = 53.13° and b = 36.67°

Then:

Cos(a - b) = Cos(53.13° - 36.67°) = 0.959

Answer:

3x+7x

Step-by-step explanation:

Answer:

D) 3x+7x

Step-by-step explanation:

D) 3x+7x

Answer:

the answer is 0.073

Step-by-step explanation:

0.657/9= 0.073